Plzzzzz i need help!!!!!

Plzzzzz I Need Help!!!!!

Answers

Answer 1

Step-by-step explanation:

here is the anewer then change in fraction
Plzzzzz I Need Help!!!!!

Related Questions

The average U.S. daily internet use at home is 150 minutes (µ). A sample of 81 (n) homes in Philadelphia showed an average usage of 165 minutes (x¯) with a sample standard deviation of 54 minutes (s). We are interested in determining whether the average usage in Philadelphia city is significantly greater than the U.S. average.

1. State your null and alternative hypotheses:

2. What is the value of the test statistic? Please show all the relevant calculations.

3. What is the rejection criterion based on the critical value approach? Use α = 0.05.

4. What is the Statistical decision (i.e., reject /or do not reject the null hypothesis)? Justify your answer.

Answers

(1) The explanation is given below.

(2) The value of the test statistic is 2.5.

(3) The rejection criterion based on the critical value approach 1.664$$.

(4) The explanation is given below.

1. Null Hypothesis:H0: µ = 150Alternative Hypothesis:H1: µ > 1502. Test statistic value:We know that, the sample size is greater than 30, which means the sample mean is approximately normally distributed. Now, we need to calculate the test statistic value. The formula for calculating the test statistic value is given by,$$t = \frac{{\left( {{\bar x} - \mu } \right)}}{{\left( {\frac{s}{{\sqrt n }}} \right)}}$$Substituting the given values, we get,$$t = \frac{{\left( {165 - 150} \right)}}{{\left( {\frac{{54}}{{\sqrt {81} }}} \right)}}$$Simplifying the above expression, we get,$$t = \frac{{15}}{{\frac{{54}}{{9}}}}$$$$t =

2.5$$Therefore, the value of the test statistic is 2.5.

3. Rejection criterion based on the critical value approach: The rejection criterion based on the critical value approach is given by$$t > t_{\alpha ,\,df}$$where$α = 0.05$and$df = n - 1 = 81 - 1 = 80$. Now, we need to find the critical value corresponding to 80 degrees of freedom at a 5% level of significance. Using the t-distribution table with 80 degrees of freedom, we get$$t_{0.05, 80} = 1.664$$Therefore, the rejection criterion is$$t > t_{\alpha, df}$$$$\Rightarrow t > 1.664$$

4. Statistical decision: As the calculated value of the test statistic (t = 2.5) is greater than the critical value (t = 1.664), we reject the null hypothesis i.e., we can conclude that the average internet usage in Philadelphia city is significantly greater than the U.S. average. Hence, we can say that the Statistical decision is to reject the null hypothesis.

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We reject the null hypothesis. Thus, the average usage in Philadelphia city is significantly greater than the U.S. average.

1. The null and alternative hypotheses are given below:

Null hypothesis, H0: µ ≤ 150 (Average daily internet use in Philadelphia city is less than or equal to 150 minutes).

Alternative hypothesis, H1: µ > 150 (Average daily internet use in Philadelphia city is greater than 150 minutes)

2. The value of the test statistic is calculated below: t=(x¯−μ)/(s/√n)

Here, x¯ = 165

µ = 150

s = 54

n = 81t

= (165 - 150)/(54/√81)

= 2.50.

Thus, the value of the test statistic is 2.50.

3. The rejection criterion based on the critical value approach is obtained below:

The critical value for α = 0.05 with 80 degrees of freedom is 1.664.

The rejection criterion is t > 1.664.

4. The statistical decision is made by comparing the calculated t-value with the critical value.

If the calculated t-value is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

Here, the calculated t-value is 2.50, which is greater than the critical value of 1.664.

Therefore, we reject the null hypothesis. Thus, the average usage in Philadelphia city is significantly greater than the U.S. average.

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Question 8 of 10
Which of the following are remote interior angles of Z1? Check all that apply.
ole
O A. 25
B. 21
O c. 26
O D. 24
D E. 23
O F. 22

Answers

Answer:

D and E

Step-by-step explanation:

remote interior angles are not adjacent to a given angle. or basically 1 is our exterior angle, so the opposites of 1 and the remote interior angle.

The remote interior angles of Z1 are ∠4 and ∠3. The correct options are D and E.

What are remote interior angle?

A triangle's remote interior angles are the two angles that are not adjacent to a given exterior angle. An exterior angle of a triangle is formed by extending one of the triangle's sides.

The following theorem can be used to calculate the remote interior angles of a triangle:

A triangle's remote interior angles are equal in size to the exterior angle that is not adjacent to them.

In other words, if we know the measure of one of a triangle's exterior angles, we can find the measure of the distant interior angles by subtracting that measure from 180 degrees.

Thus, the correct options are D and E.

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HELPPPP ASAPPPP PLEASE


A postal service offers flat-rate shipping for mail in special boxes. Today, Ahmed shipped 1
small box and 6 medium boxes, which cost him 360 dirhams to ship. Meanwhile, Sarah
shipped 3 small boxes and 6 medium boxes, and paid 420 dirhams.
a) Write a system of equations that represents Ahmed and Sara's purchases.

Answers

Answer:

Ahmed:

x + 6y = 360

Sarah:

3x + 6y = 420

Step-by-step explanation:

Let

Cost of the small box = x

Cost of the medium box = y

Ahmed:

x + 6y = 360

Sarah:

3x + 6y = 420

x + 6y = 360 (1)

3x + 6y = 420 (2)

Eliminate y by subtracting (1) from (2)

3x - x + 6y - 6y = 420 - 360

2x = 60

x = 60/2

x = 30

Substitute x = 30 into (1) to find y

x + 6y = 360

30 + 6y = 360

6y = 360 - 30

6y = 330

y = 330/6

y = 55

Cost of the small box = x = 30 dirhams

Cost of the medium box = y = 55 dirhams

Janet has $40. She gives $25 to Emma. What percent of Janet's money
does Emma have?

Answers

Answer:

0.625

Step-by-step explanation:

25 divided by 40= 0.625 percent

Consider f: R2 + R² given by (x,y) → (3x + 2y, 7.x + 5y). . Is f injective? Is f surjective? • Does f have an inverse and if yes what is it?

Answers

To determine if f has an inverse, we need to check if it is bijective (both injective and surjective). Since f is not injective, it cannot have an inverse.

To determine whether the function f: R^2 -> R^2 given by (x, y) -> (3x + 2y, 7x + 5y) is injective (one-to-one) and surjective (onto), we need to analyze its properties.

Injectivity:
A function f: A -> B is injective if for every pair of distinct elements in A, their corresponding images in B are also distinct. In other words, if f(x) = f(y), then x = y.

Let's consider two distinct points in R^2: (x1, y1) and (x2, y2). If f(x1, y1) = f(x2, y2), we have:

(3x1 + 2y1, 7x1 + 5y1) = (3x2 + 2y2, 7x2 + 5y2)

By comparing the corresponding components, we get the following system of equations:

3x1 + 2y1 = 3x2 + 2y2 (Equation 1)
7x1 + 5y1 = 7x2 + 5y2 (Equation 2)

We can subtract Equation 1 from Equation 2 to eliminate the variables:

7x1 + 5y1 - (3x1 + 2y1) = 7x2 + 5y2 - (3x2 + 2y2)
4x1 + 3y1 = 4x2 + 3y2

Rearranging the equation gives:

4x1 - 4x2 = 3y2 - 3y1
4(x1 - x2) = 3(y2 - y1)

Since this equation holds for any values of x1, x2, y1, and y2, it implies that the difference in the x-coordinates must be the same as the difference in the y-coordinates for any two distinct points. However, this is not always true, indicating that f is not injective. Therefore, the function is not one-to-one.

Surjectivity:
A function f: A -> B is surjective if every element in the codomain B has a preimage in the domain A. In other words, for every element b in B, there exists an element a in A such that f(a) = b.

To determine surjectivity, we need to find whether there exists an (x, y) in R^2 such that f(x, y) = (a, b) for any (a, b) in R^2.

Let's take an arbitrary point (a, b) in R^2. We need to find an (x, y) such that:

(3x + 2y, 7x + 5y) = (a, b)

This gives us a system of equations:

3x + 2y = a (Equation 3)
7x + 5y = b (Equation 4)

We have two equations with two variables, which can be solved to find the values of x and y. Since the system has a unique solution for every (a, b) in R^2, we can conclude that f is surjective.

Inverse:
To determine if f has an inverse, we need to check if it is bijective (both injective and surjective). Since f is not injective, it cannot have an inverse.

In summary:

The function f: R^2 -> R^2 given by (x, y) -> (3x + 2y, 7x.

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A study conducted by an airline showed that a random sample of 120 of its passengers arriving at Kennedy Airport on flights from Europe took an average of 24.15 minutes with a standard deviation of 3.29 minutes to claim their baggage and clear customs. What can the airline say with 95% confidence about the maximum error, if it uses x = 24.15 minutes as an estimate of the true average time that one of its passengers arriving at Kennedy Airport on a flight from Europe requires to claim his ticket? baggage and pass customs.?

Answers

The airline can say with 95% confidence that the maximum error in using x = 24.15 minutes as an estimate of the true average time is 24.736.

How do we solve confidence interval for the True average time?

To calculate the confidence interval, we used the following formula:

CI = x ± z × SE.

CI is the confidence interval

x is the sample mean

z is the z-score for the desired confidence level (in this case, 95%)

SE is the standard error of the mean

The z-score for a 95% confidence interval is 1.95. ⇒ 0.05/2 = 0.025 = 1.95.

the sample standard deviation is 3.29 and the sample size is 120.

Therefore

CI = 24.15 + 1.95 × 3.29 / √(120) = 24.736

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probablity question: A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?

Answers

Answer: 12.5%

Step-by-step explanation:

i dunno for sure so probably use someone elses answer

Rectangle ABCD is congruent to rectangle A″B″C″D″ . Which sequence of transformations could have been used to transform rectangle ABCD to produce ​ rectangle A″B″C″D″ ​ ? ​ Rectangle ABCD ​ was reflected across the y-axis and then across the x-axis. ​ Rectangle ABCD ​ was translated 8 units left and then 7 units down. ​ Rectangle ABCD ​ was translated 2 units left and then 3 units down. ​ Rectangle ABCD ​ was rotated 180° around the origin and then translated 7 units down. A coordinate graph with rectangle A B C D and rectangle A double prime B double primes C double prime and D double prime. Rectangle A B C D has points at A begin ordered pair 2 comma 5 end ordered pair, B begin ordered pair 2 comma 2 end ordered pair, C begin ordered pair 6 comma 2 end ordered pair, D begin ordered pair 6 comma 4 end ordered pair. Rectangle A double prime B double prime C double prime D double prime has points at A double prime begin ordered pair negative 6 comma negative 3 end ordered pair, B double prime begin ordered pair negative 6 comma negative 5 end ordered pair, C double prime begin ordered pair negative 2 comma negative 5 end ordered pair, D double prime begin ordered pair negative 2 comma negative 3 end ordered pair

Answers

Answer:- A. Rectangle ABCD was translated 8 units left and then 7 units down.

Explanation:-
We can see vertex A(2,4) of rectangle ABCD moves to A"(-6,-3), in a way that A translated 8 units left (-8)and 7 units down(-7) to A".
i.e.(2-8,4-7)=(-6,-3)
Similarly the other vertices of rectangle ABCD moves to form rectangle A"B"C"D"
B (2,2) → B" (-6,-5)
C (6,2) → C" (-2,-5)
D(6,4) → D" (-2,-3)

Two mechanics were working on your car. One can complete the given job
in six hours, but the new guy takes eight hours. They worked together for
the first two hours, but then the first guy left to help another mechanic on
a different job. How long will it take the new guy to finish your car?

PLS EXPLAIN YOUR WORK AND SHOW YOUR STEPS CLEARLY

Answers

It will take the new guy approximately 3.33 hours to finish your car.To find out how long it will take the new mechanic to finish the car, we need to consider their individual rates of work.

Let's denote the first mechanic's rate as "M1" (job per hour) and the new guy's rate as "M2" (job per hour).

We are given that M1 can complete the job in six hours, so his rate of work is 1/6 of the job per hour. Similarly, the new guy takes eight hours to complete the job, so his rate of work is 1/8 of the job per hour.

When they worked together for the first two hours, they combined their rates of work. So in the first two hours, they completed (2/6 + 2/8) of the job.

Now, the first mechanic leaves and only the new guy is left to finish the remaining portion of the job. Let's denote the time it takes for the new guy to complete the remaining portion as "T."

Since we know the portion of the job completed in the first two hours, we can set up the equation: (2/6 + 2/8) + (T/8) = 1.

Simplifying the equation, we have (8/24 + 6/24) + (T/8) = 1.

Combining the fractions, we get 14/24 + (T/8) = 1.

Subtracting 14/24 from both sides, we have T/8 = 10/24.

Simplifying further, we find T = (10/24) * 8 = 3.33 hours.

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Find the following combinations

Answers

Answer:

3

Step-by-step explanation:

find the value of x to the nearest tenth

Answers

Answer:

114

Step-by-step explanation:

You would add 46 degree and 20 degrees (66) and subtract (180 - 66 = ?) to get your answer.

Answer:

114

Step-by-step explanation:

May someone help me please. Solve for x and then find the indicated length. Pleaseee

Answers

Answer:

16

Step-by-step explanation:

3x + 4 = x + 12  [The straight line on the segments AB and BC indicate that they are the same length]

2x = 8  [Subtract x and 8 from both sides]

x = 4  [Divide both sides by two]

Length AB is equal to (3x + 4) as indicated by the diagram. Substituting x = 4, (3 * 4) + 4 = 16

In 1945, what concern did the Allies have about invading the Japanese mainland with ground forces? They were worried they did not have enough soldiers. They were worried there would be too great a loss of life. They were worried the Japanese were developing an atomic bomb. They were worried the Japanese had a stronger fleet in mainland ports.

Answers

Answer:

b

Step-by-step explanation:

i need points

In 1945, the concern which the Allies had about invading the Japanese mainland with ground forces was:

B. They were worried there would be too great a loss of life.

What is an Invasion?

This refers to a military tactic where the armed forces of a country or a place go into enemy territory with the aim of defeating the troops and claiming the territory.

With this in mind and from the events in history, we can see that after the bombing of Pearl Harbor by the Japanese Navy, there were concern by the Allies of invading the Japanese mainland with ground forces because they feared the great loss of life.

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Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark. How much shorter with their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead?

Answers

Answer:

If they hadn't stopped at the gas station and had driven along the diagonal path, their trip would have been 12 miles shorter.

Step-by-step explanation:

Given that Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark, to determine how much shorter would their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead the following calculation must be performed, using the Pythagorean theorem:

14 ^ 2 + 48 ^ 2 = X ^ 2

196 + 2,304 = X ^ 2

√ 2500 = X

50 = X

14 + 48 - 50 = X

62 - 50 = X

Thus, if they hadn't stopped at the gas station and had driven along the diagonal path, their trip would have been 12 miles shorter.

Identify the Type I and Type 2 error for the following claim
(a) The average time that customers wait on hold for customer wrvice at a certain company in less than 5 minutes
(b) The number of salespeople employed at a car lot in linearly correlated with the annual profit of the lot.

Answers

(a) Type I error: Rejecting the claim , Type II error: Failing to reject the claim. (b) Type I error: Rejecting the claim, Type II error: Failing to reject the claim.

For claim (a):

Type I error: Rejecting the claim that the average time customers wait on hold is less than 5 minutes when, in fact, it is true. This means concluding that the average wait time is longer than 5 minutes when it is not.

Type II error: Failing to reject the claim that the average time customers wait on hold is less than 5 minutes when, in fact, it is false. This means concluding that the average wait time is less than 5 minutes when it is actually longer.

For claim (b):

Type I error: Rejecting the claim that the number of salespeople employed at a car lot is linearly correlated with the annual profit of the lot when, in fact, it is true. This means concluding that there is no linear correlation between the number of salespeople and annual profit when there actually is.

Type II error: Failing to reject the claim that the number of salespeople employed at a car lot is linearly correlated with the annual profit of the lot when, in fact, it is false. This means concluding that there is a linear correlation between the number of salespeople and annual profit when there actually isn't.

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help. please. I really need help if its correct i would be happy

Answers

Answer:

[tex]-22\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]a=\frac{1}{3} , b = -10, c = -3[/tex]

change  [tex]b^{2} - 9a^{2} + c[/tex]   to  

[tex]-10 -9\frac{1}{3} + (-3)[/tex]

=

[tex]-22\frac{1}{3}[/tex]

name a pear of lines that apper to be parallel

Answers

Don’t click the link

What is the quotient of 1/6 divided by 5?

Answers

Answer:

0.03333333333 = 33/1000 = 3.3%

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

IVE BEEN STUCK ON THIS FOR AN HOUR PLEASE HELP WHAT IS 9.85714285714 X 7

Answers

Answer:

69

Step-by-step explanation:

lol

An equation of the cone z = √3x² + 3y2 in spherical coordinates is: P = 3 ¢ = 7 This option None of these This option This option This option Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5-x² - y² where x 20 and y 20. Which of the following triple integral in cylindrical coordinates allows us to evaluate the volume of D? 2-47² √√√³√²-²³ dzdrdo ar dzdrde This option for r dzdrde This option This option None of these This option Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² + z² = 25. Which of the following triple integral in spherical coordinates allows us to evaluate the volume of D? fofo ₂ p²sinodpdode of p²sinodododo This option p²sinodpode This option This option None of these

Answers

An equation of the cone z = √3x² + 3y² in spherical coordinates is: None of these. A cone is formed by rotating a straight line around an axis when one end of the straight line remains fixed.

For example, if the equation of a cone is known, we may use calculus to calculate the cone's volume and surface area. Cone: A cone is a three-dimensional geometric shape that has one circular base at one end and a single point at the other end. A cone's height is the distance from the tip to the base surface's center. The angle formed between the slant height and the base radius is called the cone's half-angle. The vertical plane that passes through the cone's apex and base centerline is called the cone's axis.

Spherical coordinates: In three-dimensional space, spherical coordinates are a coordinate system. Three parameters, the radial distance r, the polar angle θ, and the azimuthal angle φ, are used to specify the position of a point using spherical coordinates. In this case, the radial distance, which is the distance from the origin, is r, and the polar angle and azimuthal angles are represented by θ and φ, respectively. Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x² + y² ≤ 4.

The cylindrical coordinate system is a three-dimensional coordinate system that uses cylindrical polar coordinates to specify a point in space. Cylindrical coordinates are a generalization of two-dimensional polar coordinates, which are used to define a point in the plane. The integral that allows us to calculate the volume of the region is given by: ar dzdrde. Let D be the region in the first octant enclosed by the two spheres x² + y² + z² = 4 and x² + y² + z² = 25. The integral that allows us to calculate the volume of the region is given by: p²sinodpdode.

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Describe the error Sadie made, and explain how to find the correct answer. (Refer to image)
Step 1: Explain the error made

Step 2: Explain how to find the correct answer.

Answers

a)Error:multiplied the numerator and denominator by 3 instead of 2.

b)The correct answer to the given expression is 8/15.

In the given image, Sadie made an error in the simplification of the expression.

The error is that she multiplied the numerator and denominator by 3 instead of 2.

She simplified the numerator and the denominator before carrying out multiplication by 2.

This resulted in the final answer being incorrect.

The correct answer would be 8/5.

The correct way to simplify the expression is as follows:

[tex]$$\frac{4}{3} \div \frac{5}{6} = \frac{4}{3} \times \frac{6}{5}$$[/tex]

Now, cross-cancelling can be performed because the numerator of the first fraction and the denominator of the second fraction have a common factor of 2.

[tex]$$=\frac{4 \times 2}{3 \times 5} = \frac{8}{15}$$[/tex]

Therefore, the correct answer to the given expression is 8/15.

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PLEASE HELP WITH THIS QUESTION!!
NO LINKS PLEASE

Answers

Answer:

Step-by-step explanation:

g(x)=[x-4]                     h(x)= [x] -5

                                     h= -5

g=[x-4]

x     x

g=4                      

Need to get this one right to pass lesson

Answers

Answer:

not sure search it up

Step-by-step explanation:

Answer:

33ft²

Step-by-step explanation:

b= base (3)

l= slant height (4)

Surface area = b²+2bl

=3²+2(3)(4)

=9+2(12)

=33

Sonia has two packages of hamburger meat. The first package weighs 1.76 pounds and the second package weighs 2.29 pounds. She mixes the two packages together and forms hamburgers that weigh 0.25 pounds each. What is the greatest number of 0.25- pound hamburgers Sonia can make using the hamburger meat she has?

Answers

16 because o.25 times 16 = 4

1.76+2.29=4.05 so 16

Answer:

16.

Step-by-step explanation:

0.25 × 16 = 4

1.76 + 2.29 = 4.05

so the answer is 16

hope this helps!

~mina-san

Given the data 21, 13, 13, 37, 13, 23, 25, 15: What is the outlier in the data? What is the mean with the outlier? What is the mean without the outlier? A. 13; 21; 17.6 B. 37; 20; 17.6 C. 37; 17.6; 20 D. 13; 17.6; 21

Answers

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. The outliner in this problem is 37. The mean with the outliner is 20 and 17.6 with out it,therefore the answer is B

A computer tablet is 0.24 meter long. How long is the computer tablet in centimeters?

Answers

Answer:

24 cm long

Step-by-step explanation:

Perform the following test of hypothesis. H0: μ = 285, H1: μ < 285, n = 55, x = 266.89, s = H0 is

Answers

By Performing the following test of hypothesis, H0 is rejected.

To perform the test of hypothesis, we compare the sample mean (x) to the hypothesized population mean (μ) and consider the sample size (n) and sample standard deviation (s).

Given:

H0: μ = 285 (null hypothesis)

H1: μ < 285 (alternative hypothesis)

n = 55 (sample size)

x = 266.89 (sample mean)

s = ?

To determine whether to reject or fail to reject the null hypothesis, we calculate the test statistic and compare it to the critical value or p-value.

Since the standard deviation (s) is not given, we cannot directly calculate the test statistic. Without the value of s, we cannot proceed with the hypothesis test. Please provide the value of s to continue with the calculation and draw a conclusion.

The test of hypothesis cannot be performed without the value of the sample standard deviation (s). Please provide the necessary information to proceed with the calculation and draw a conclusion.

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A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. What is the probability that a CD will last less than 3 years?

A- 1.11%, B - 10.56%, C - 86.65%, D - 100%

Answers

Answer:

the answer is B.........................

WHAT IS THE PROBABILITY OF LANDING ON TAILS ON THE FIRST FLIP AND THEN TAILS AGAIN ON THE SECOND FLIP?

Answers

Answer:

25%

Since it's 2 in a row, it is divided by 4

technically it depends on the way you flip the coin, its mostly a 50-50

a more answer-y answer to this would be around (heads) 65-35 (tails) in my opinion.

Factor the expression (s):

7x+63

12x+15

36z+60

Answers

The answer for the first one is 7(x+9)
The answer for the second one is 3(4x+5)
The answer for the third one is 12(3z+5)
Other Questions
Is the equation cosine theta - sine theta =1 an identity? Explain Convert (a) 50 oF, (b) 80 oF, (c) 95 oF to Celsius Can someone help me with this problem Select four risk factors for developing dementia.genetic tendencyhigh blood pressurecarpal tunnel syndromehyperactivityO obesitystressnearsightedness The benefit of establishing a company over other forms of ownership I dont understand help me Whats the answer for 7/9 - 4/9 in fraction in number Required information [The following information applies to the questions displayed below.] Bacon Inc. has the following stockholders' equity section in its May 31, 2019, comparative balance sheets: May 31, 2019 Paid-in capital: Preferred stock, $120 par value, 9%, cumulative, 200,000 shares authorized, 140,000 shares issued and outstanding Common stock, $5 par value, 1,000,000 shares authorized, 600,000 and 1 540,000 shares issued, respectively Additional paid-in capital Retained earnings Less: Treasury common stock, at cost; 72,000 shares and 68,000 shares, respectively Total stockholders' equity $16,800,000 ? 26,100,000 36,200,000 (4,412,000) ? April 30, 2019 $16,800,000 2,700,000 23,220,000 34,640,000 (4,148,000) $73,212,000 e-2. Assume that on June 1 the board of directors declared a cash dividend of $0.60 per share on the outstanding shares of common stock. The dividend will be payable on July 15 to stockholders of record on June 15. Identify the impact this action will have on the June 30 balance sheet and on the income statement for June. (Select all that apply.) -2. Assume that on June 1 the board of directors declared a cash dividend of $0.60 per share on the outstanding shares of common stock. The divid will be payable on July 15 to stockholders of record on June 15. Identify the impact this action will have on the June 30 balance sheet and on the inco -tatement for June. (Select all that apply.) Check All That Apply The June 30, 2019, balance sheet will reflect a reduction in retained earnings and an increase in dividends payable for the same amount. The June 30, 2019, balance sheet will reflect a reduction in dividends payable and an increase in retained earnings for the same amount. Dividends declared have no effect on the income statement. Dividends declared will result in a reduction of net profit. 2(3x + 5) - 4(x - 1)Simplified form 6n-18n-18=6 slove by factoring question which of the following statements about the markets of trajan is incorrect? responses it was a structure containing stores and businesses. it was a structure containing stores and businesses. the project was completed in 112 ad. the project was completed in 112 ad. the architect was apollodorus of damascus. the architect was apollodorus of damascus. the structure was shaped like a pyramid in honor of the pharaoh khufu. how does each law affect the principle of democracy? A company with annual sales of $24,000,000 is considering changing its payment terms from net 40 to net 30 to encourage customers to pay more promptly. The company forecasts that customers would respond by paying on day 34 rather than day 44 as at present (assume a 360 day year) but would decrease their purchases by $450,000 per year. The company also forecasts that its idle cash balance would decrease by $40,000 and administrative costs would be reduced by $35,000 per year. The company's variable costs average 66% of sales, it is in the 35% marginal tax bracket, and it has an 9% cost of capital. Required: A. Calculate the incremental cash flows associated with accepting this proposal, and organize your cash flows into a cash flow spreadsheet of the type demonstrated in chapter 12 of the textbook. a B. Calculate the proposal's Net Present Value. C. Calculate the proposal's Internal Rate of Return. D. Calculate the proposal's Net Annual Benefit. E. Explain whether the firm should shorten its payment terms or not. A Time Zero Amount Change in A/R balance Profit on change in balance Other W/C change Total 709,167 222,417 (40,000) 891,583 Years 1 through infinity Admin costs 35,000 Bad debt changes Contribution margin (153,000) Discounts Tax on above 65,800 Total cash flow (52,200) Detailed support for above numbers: Daily sales Average age of A/R (days) Variable cost % Old investment in A/R 66,667 44 66% 2,933,333 65,417 34 New daily sales Average age of A/R (days) Variable cost % New investment in A/R 66% 2,224,167 Net decrease in A/R balance 709.167 New daily sales Change in average age of A/R (days) Contribution margin % Change in A/R based on profit portion 65,417 10 34% 222,417 Other W/C change (given in problem) 40,000 Change in administrative costs (given in problem) 35,000 450,000 Decrease in sales Contribution margin % Net decrease in contribution margin 34% 153,000 Change in admin costs (from above) Change in contribution margin (from above Net taxable change Tax rate Net change in taxes 35,000 153,000 188,000 35% 65,800 B Present value of cash inflows Present value of cash outflows Net present value 947,141 177,064 770,076 C Annual cash outflow Investment in A/R Internal rate of return 891,583 (2,224,167) 149.46% D Allowed annual cost Actual annual cost Net annual benefit 15,840,000 15,508,000 332,000 Mini case #1 - Retirement PlanningThis assignment is to be completed in Excel. When completed, submit the exercise by the due date in Blackboard (BB) and Attach a copy of the excel spreadsheet.Case Narrative:Jim Nasium is age 50 and plans to retire in 20 years (at age 70). He has retirement savings in a mutual fund account, which has a current balance of $10,000 (Jim does not plan to add any additional money to this account). Also, Jim opened a 401K retirement account with his new employer and will contribute $15,000 per year into his 401K until retirement. If Jim's mutual fund account grows at an annual rate of 5.0% how much money will Jim have in his mutual fund account at age 70? (6 points) If Jim's 401K account grows at an annual rate of 5.0% per year, how much money will Jim have in his 401K account at age 70? (6 points) What is the total investment balance of Jim's retirement account at the age of 70? (6 points) At retirement, Jim plans take the investment balance from his mutual fund account and the balance from his 401K account and combine them into an IRA account. To minimize risk, his IRA account will invest in more conservative securities. As a result, Jim anticipates his annual IRA returns to be about 4.0% during retirement. While in retirement, Jim plans to withdraw $40,000 per year from his IRA account over the next 20 years. Is this possible? Explain why or why not? (6 points) If all 4 questions answered correctly (1 point) The ways in which various civilizations developed were very different.TrueFalse Draw the pipeline diagram (on the next page) for the following programs. Please note whether itis a multi cycle CPU or a single cycle CPUProgram 1Given a Single Cycle CPU where each stage is fixed at 200 ps (a 1000ps clock cycle), draw the pipeline diagram for the program below datanum: .word 12 .textla $s0, numlw $t0, 0($s0)addi $t1, $t0, 3Program 2Given a Multi Cycle CPU where each stage is fixed at 200 ps (a 1000ps clock cycle), draw thepipeline diagram for the program below datanum: .word 12.textla $s0, numlw $t0, 0($s0)addi $t1, $t0, 31. What is the total length of time to run Program 1?2. What is the total length of time to run Program 2?3. What hazards, if any, exist in Program 1?4. What hazards, if any, exist in Program 2? How did religion play a role in establishing the realms borders for South Asia? Show me the work to 4x-423. The answer is already shown. (Geometry ) Which of the following is a characteristic of a flexible employee?A.turns down a promotion to stay in the same locationB.prefers working at one specific taskC.receives suggestions with an open mindD.puts in eight hours a day -- no more, no less Select the correct answer from each drop-down menu.Consider the equation below.x^3 - 3x^2 - 4 = 1/x-1 +5The solutions to the equation are approximately x =0.91 and x= *blank*