Part A is already answered

Part B asks: What is the length of the hypotenuse?

Part A Is Already Answered Part B Asks: What Is The Length Of The Hypotenuse?

Answers

Answer 1

Answer:

52

Step-by-step explanation:

Using the Pythagorean theorem

a^2+b^2 = c^2

20^2 + 48^2 = c^2

400 +2304=c^2

2704=c^2

Taking the square root of each side

sqrt(2704) = sqrt(c^2)

52 = c

Answer 2

Answer:

[tex]hypotenuse^{2}[/tex] = [tex]altitude^{2}[/tex] + [tex]base^{2}[/tex]

[tex]hyp^{2}[/tex] = [tex]48^{2}[/tex] + [tex]20^{2}[/tex]

       = 2304 + 400

       = 2704

∴[tex]hyp[/tex] = [tex]\sqrt{2704}[/tex]

       = 52

hope this answer helps you....


Related Questions

I really need help please and thank you

Answers

Answer:

117 Degrees

Step-by-step explanation:

plz give brailiest, the 1 and 117 are the exact same angle

x=-2
Identify what's the slope and what's the y-intercept

Answers

Answer:

There is no slope and no y-intercept.

This is a line that is parallel to Y-axis


Francesca makes and sells jewelry. She uses the equation p = "285 + 45n to model the situation, where p is the amount of profit she
makes and n is the number of necklaces she sells. What does the y-intercept

Answers

it would be (0,285) if 285 is just 285

The y-intercept for the given equation p = 285+45n is 285.

What is Y intercept?

The Y-intercept is the point where the graph intersects the y-axis.

Y-intercept formula

To find the y-intercept of a function y = f(x), substitute x=0 and solve for y.

According to the given question

we have an equation p = 285+45n

where,

p is the amount of profit

and, n is the number of necklaces

Let,  p = y and n = x

then the given equation becomes y=285+45x

substitute, x = 0 in equation y = 285+45x

⇒ y = 285

Hence, the y-intercept of the equation p=285+45n is 285.

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what is the scale factor in the dilation?
PLEASE HURRY!!!​

Answers

Answer: 1/3

Step-by-step explanation:

2.5:7.5

3:9

just simplify

-6,-5,-4,-3,...rule
What is answer ​

Answers

Answer:

[tex]a_{n}[/tex] = n - 7

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence

d = - 5 - (- 6) = - 4 - (- 5) = - 3 - (- 4) = 1

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = 1 , then

[tex]a_{n}[/tex] = - 6 + 1 (n - 1) = - 6 + n - 1 = n - 7

Your reading teacher
has
20 students in his elos. If
he uses popnicle sticks to
randomly call on
students during class,
what is the probability
your name will
be
called

Answers

Answer:

5%

Step-by-step explanation:

20=  100%

1 x100 = 100

100/20= 5

Divide and answer in simplest form: 5 ÷35

Answers

Step-by-step explanation:

Reduce 5/35 to lowest terms

The simplest form of 535 is 17.

Answer:

1/7

Step-by-step explanation:

divide both sides by 5

Find the Surface area of the following figure below

Answers

Answer:

495

Step-by-step explanation:

Base area = 11*11 = 121

Lateral area = (11*4)*17/2 = 11*2*17 = 374

121+374=495

And pyramid consists of 4 triangles and 1 square. To find the surface area of the figure you need to find the area for those shapes. The formula for area for those shapes are.
Triangle area is A = 1/2*B*H (B meaning base and h meaning height)
Rectangle area is A = L * W (L meaning length and W meaning width)
So the you have triangles with a base of 11 and height of 17 so 11*17*(1/2). That value times 4 because there are 4 of them so you get. 374 meters^2
Then you have the rectangle which is 11*11 so 121 add that to 374 and you get 495 meters^2 so the surface area is 495 meters^2 if I did it correctly.

Which scenario would most likely show a negative association between the variables? A. the height of a tree and the amount of time it takes to climb to the top of the tree
B. the number of people in the mall and the number of cars in the parking lot
C. miles traveled in a car and the amount of gasoline used
D. time spent reading a book and the number of pages left to read

Answers

Answer: i would say B because it makes the most sence

Step-by-step explanation:

Consider sample of 47 football games, where at of them were won by the bomo tam. Use a 0.01 significance level to test the claim that the probability that the home team wins is greater than one half. Identify the null and alternative hypothes for this test.

Answers

The null hypothesis for this test is that the probability that the home team wins is equal to or less than one half. The alternative hypothesis is that the probability that the home team wins is greater than one half.

1. Identify the null hypothesis (H0): The null hypothesis for this test is that the probability that the home team wins is equal to or less than one half (P ≤ 0.5).

2. Identify the alternative hypothesis (Ha): The alternative hypothesis is that the probability that the home team wins is greater than one half (P > 0.5).

3. Determine the significance level (α): The significance level, also known as the alpha level, is set at 0.01. This means that we are willing to accept a 1% chance of rejecting the null hypothesis when it is actually true.

4. Collect the sample data: In this case, we have a sample of 47 football games, where "at" of them were won by the home team (let's assume "at" to be a specific number).

5. Calculate the test statistic: To test the claim, we need to calculate the test statistic based on the sample data. Since we are comparing a proportion (probability), we can use the z-test. The test statistic formula is given by:

  z = (p - P) / √(P * (1 - P) / n)

  Where:

  p is the proportion of games won by the home team in the sample,

  P is the claimed probability that the home team wins (in this case, P = 0.5),

  n is the sample size.

6. Determine the critical value: Since we have a one-tailed test (alternative hypothesis is directional), we need to find the critical value corresponding to the significance level of 0.01 in the standard normal distribution (z-distribution). Using a z-table or a statistical software, the critical value for a 0.01 significance level is approximately 2.33.

7. Compute the test statistic: Plug in the values from the sample data into the test statistic formula calculated in Step 5 to obtain the z-value.

8. Compare the test statistic with the critical value: If the test statistic is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

9. Make a decision: If the test statistic is greater than the critical value, we reject the null hypothesis, indicating that there is sufficient evidence to support the claim that the probability that the home team wins is greater than one half. If the test statistic is less than or equal to the critical value, we fail to reject the null hypothesis, indicating that there is not enough evidence to support the claim.

10. Provide a conclusion: Based on the decision made in Step 9, state the conclusion in the context of the problem. For example, if we reject the null hypothesis, we can conclude that there is significant evidence to suggest that the home team has a greater than 50% chance of winning in these football games.

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Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers.

Answers

Answer:

the two consecutive negative integers are -2 and -1.

Step-by-step explanation:

Represent these negative integers by m and n.

Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.

Substituting m + 1 for n in the second equation, we get:

m^2 = m + 1 + 5, or

m^2 - m - 6 = 0

This factors into (m - 3)(m + 2) = 0.  The only negative root is -2.  

Thus, the two consecutive negative integers are -2 and -1.

Check:  Is the  square of the first five more than the second?

Is (-2)^2 = -1 + 5?  YES

The integers aer -2 and -1.

Three companies, A, B and C, make computer hard drives. The proportion of hard drives that fail within one year is 0.001 for company A, 0.002 for company B and 0.005 for company C. A computer manufacturer gets 50% of their hard drives from company A, 30% from company B and 20% from company C. The computer manufacturer installs one hard drive into each computer.
(a) What is the probability that a randomly chosen computer purchased from this manufacturer will experience a hard drive failure within one year? [4 marks]
(b) I buy a computer that does experience a hard drive failure within one year. What is the probability that the hard drive was manufactured by company C? [4 marks]

Answers

(a) The probability of the chosen hard drive to fail within one year is 0.005.

(b) The probability that the hard drive was manufactured by company C is 3.95%.

(a) The probability that a randomly chosen computer purchased from this manufacturer will experience a hard drive failure within one year is:

Probability of choosing hard drive from company A and failure within one year + Probability of choosing hard drive from company B and failure within one year + Probability of choosing hard drive from company C and failure within one year

P(A and F) = P(A) x P(F|A) = 0.5 x 0.001 = 0.0005

P(B and F) = P(B) x P(F|B) = 0.3 x 0.002 = 0.0006

P(C and F) = P(C) x P(F|C) = 0.2 x 0.005 = 0.0010

The probability that a randomly chosen computer purchased from this manufacturer will experience a hard drive failure within one year is:

0.0005 + 0.0006 + 0.0010 = 0.0021 (or 0.21%)

(b) Let F be the event that the hard drive fails within one year and C be the event that the hard drive is manufactured by company C.

We want to calculate P(C|F), the probability that the hard drive was manufactured by company C, given that it failed within one year;

P(C|F) = P(C and F) / P(F) = [P(C) x P(F|C)] / [P(A) x P(F|A) + P(B) x P(F|B) + P(C) x P(F|C)]

P(C|F) = (0.2 x 0.005) / (0.5 x 0.001 + 0.3 x 0.002 + 0.2 x 0.005)

P(C|F) = 0.083 / 0.0021 = 0.0395 (or 3.95%)

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The probability that the hard drive in my computer is manufactured by company C given that my computer experiences a hard drive failure within one year is approximately 0.74.

(a) Let the random variable X denote the number of hard drives in the computer manufacturer's hard drives that fail within one year. The probability distribution of X can be found as follows:

[tex]P(X = 0) = 0.5(1 - 0.001) + 0.3(1 - 0.002) + 0.2(1 - 0.005) = 0.9957[/tex]

[tex]P(X = 1) = 0.5(0.001) + 0.3(0.002) + 0.2(0.005) = 0.0016[/tex]

Thus, the probability that a randomly chosen computer purchased from this manufacturer will experience a hard drive failure within one year is 0.0016.

(b) Let the event H denote that the computer I buy experiences a hard drive failure within one year. Let the event Ci denote that the hard drive in my computer is manufactured by company

i. Then, using Bayes' theorem, we have:

[tex]P(C3 | H) = P(H | C3)P(C3) / P(H)[/tex]

We can find the values of the three probabilities in the above formula as follows:

P(H | C1) = 0.001

P(H | C2) = 0.002

P(H | C3) = 0.005

P(C1) = 0.5

P(C2) = 0.3

P(C3) = 0.2

[tex]P(H) = P(H | C1)P(C1) + P(H | C2)P(C2) + P(H | C3)P(C3)≈ 0.00135[/tex]

Thus, P(C3 | H) = 0.005(0.2) / 0.00135 ≈ 0.74

Therefore, the probability that the hard drive in my computer is manufactured by company C given that my computer experiences a hard drive failure within one year is approximately 0.74.

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What is the volume of a sphere with a radius of 6.3 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer:

1047.4 cm^3

Step-by-step explanation:

Answer:1047.4

Step-by-step explanation:

.

What is the value of s?

_____units

Answers

Answer:

17

Step-by-step explanation:

by Pythagoras

[tex]8 {}^{2} + 15 {}^{2} = {x}^{2} [/tex]

x=17

I think the answer’s 17?

the figures are similar find X ​

Answers

Answer:

X=14.4

Step-by-step explanation:

As triangles are similar

The ratio of the sides must be equal

so..

[tex]\frac{x}{8} =\frac{9}{5}[/tex]

[tex]x=\frac{9*8}{5}[/tex]

[tex]x=14.4[/tex]

hope it helps...

have a great day!!

Please solve as soon as possible thank you I appreciate it!

Answers

A. 30=3x+6? B. I really can’t figure it out so sorry

the compound inequality

Answers

here you go!!
hope this will help you , the answer is

d>7

verify that the following equation is an identity. (sinx cosx)^2=sin2x 1

Answers

The equation [tex](sin(x)cos(x))^2 = sin(2x)[/tex] is verified to be an identity.

Simplify LHS and RHS?

To verify whether the equation [tex](sin(x)cos(x))^2 = sin(2x)[/tex] is an identity, we can simplify both sides of the equation and see if they are equivalent.

Starting with the left side of the equation:

[tex](sin(x)cos(x))^2 = (sin(x))^2(cos(x))^2[/tex]

Now, we can use the trigonometric identity [tex]sin(2x) = 2sin(x)cos(x)[/tex] to rewrite the right side of the equation:

[tex]sin(2x) = 2sin(x)cos(x)[/tex]

Substituting this into the equation, we have:

[tex](sin(x))^2(cos(x))^2 = (2sin(x)cos(x))[/tex]

Next, we can simplify the left side of the equation:

[tex](sin(x))^2(cos(x))^2 = (sin(x))^2(cos(x))^2[/tex]

Since both sides of the equation are identical, we can conclude that the given equation is indeed an identity:

[tex](sin(x)cos(x))^2 = sin(2x)[/tex]

Hence, the equation [tex](sin(x)cos(x))^2 = sin(2x)[/tex] is verified to be an identity.

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The mean and standard deviation of a population are 200 and 20, respectively. What is the probability of selecting one data value less than 190?
A. 42%
B. 58%
C. 31%
D. 69%

When the variances of the population distribution and the sampling distribution of means are compared, the:
A. variances have the same degrees of freedom.
B. population variance is larger than the sampling distribution variance.
C. population variance is smaller than the sampling distribution variance.
D. variances are equal.

Answers

The variance of the sampling distribution of means, on the other hand, is equal to the variance of all possible sample means of the same size taken from the population.

Since a sample size is always less than the population size, the variance of the population distribution is greater than the variance of the sampling distribution of means.

Therefore, option B is correct.
The probability of selecting one data value less than 190 IS (C)31%

When the variances of the population distribution and the sampling distribution of means are compared, the (B) population variance is larger than the sampling distribution variance.

The probability of selecting one data value less than 190 given the mean and standard deviation of a population of 200 and 20 respectively is 31% (option C).

Solution: Given,

mean (μ) = 200,

standard deviation (σ) = 20

We need to find the probability of selecting one data value less than 190.

P(x < 190) = ?

Z = (X - μ)/σ

Taking X = 190,

Z = (190 - 200)/20

= -0.5

From the standard normal table, the probability of

Z = -0.5 is 0.3085

Therefore,

P(x < 190) = P(Z < -0.5)

= 0.3085

= 31%

Hence, option C is correct.

When the variances of the population distribution and the sampling distribution of means are compared, the population variance is larger than the sampling distribution variance.

This can be explained as follows;

The population distribution is the distribution of an entire population, while the sampling distribution of the mean is the distribution of the means of all possible samples of a specific size drawn from that population.

The variance of the population distribution is equal to the variance of a single observation of the population.

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whats 10k - 90 = -10

Answers

Answer:

k = 8

Step-by-step explanation:

10*8 - 90 = -10

:/

Complete the equation

Answers

the answer should be y=3x+18

Carrie sewed a square blanket with an area of 225 in^2
What is the length of each side of the blanket?
A. 56.25 in
B. 15 in
C. 112.5 in
D. 10 in

Answers

Answer:

The answer is A 56.25

Step-by-step explanation:

Since a square has 4 sides, divide 225 by 4 to get 56.25. To check your answer multiply 56.25 x 4 to get 225 in^2.

Hope this helps! Pls mark Brainliest!

Answer:

a.56.25

Step-by-step explanation:

Pls help me plz either sdys

Answers

Answer:

44

Step-by-step explanation:

14x3.14 is 43.96 and that after being rounded to the nearest tenth becomes 44

let y=f(x) be the particular solution to the differential equation dydx=ex−1ey with the initial condition f(1)=0 . what is the value of f(−2) ?

Answers

To find the value of f(-2) given the differential equation dy/dx = e^(x-1) * e^y with the initial condition f(1) = 0, we can use separation of variables and solve the differential equation.

Starting with the given differential equation:

dy/dx = e^(x-1) * e^y

Separating variables by multiplying both sides by dx and e^(-y):

e^(-y) dy = e^(x-1) dx

Now, we can integrate both sides of the equation:

∫ e^(-y) dy = ∫ e^(x-1) dx

Integrating the left side with respect to y and the right side with respect to x:

e^(-y) = e^(x-1) + C

Applying the initial condition f(1) = 0, where x = 1 and f(1) = 0:

e^(-0) = e^(1-1) + C

1 = 1 + C

C = -2

Substituting the value of C back into the equation:

e^(-y) = e^(x-1) - 2

Now, we can find the value of f(-2) by substituting x = -2 into the equation:

e^(-y) = e^(-2-1) - 2

e^(-y) = e^(-3) - 2

To find the value of f(-2), we need to solve for y:

e^(-y) = 2 - e^(-3)

y = -ln(2 - e^(-3))

Therefore, the value of f(-2) is f(-2) = -ln(2 - e^(-3)).

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How to write 0.00080 as a power of 10?

Answers

Answer:

8 × 10⁻⁴

Step-by-step explanation:

Two spheres A and B of mass 7.5 kg and 6.3 kg respectively are separated by a distance of 0.59 m. Calculate the magnitude of the gravitational force A exerts on B and B exerts on A. force A exerts on B force B exerts on A If the force between the spheres is now 3.50 times 10-9 N, how far apart are their centers?

Answers

To calculate the magnitude of the gravitational force A exerts on B and B exerts on A, we can use Newton's law of universal gravitation:

[tex]F = (G * m1 * m2) / r^2[/tex]

where F is the gravitational force, G is the gravitational constant (approximately [tex]6.67430 *10^-11 N m^2 / kg^2)[/tex], m1 and m2 are the masses of the two spheres, and r is the distance between their centers.

For the force A exerts on B:

[tex]F_AB = (G * m_A * m_B) / r^2[/tex]

Substituting the given values: m_A = 7.5 kg, m_B = 6.3 kg, and r = 0.59 m:

F_AB = (6.67430 × 10^-11 N m^2 / kg^2) * (7.5 kg) * (6.3 kg) / (0.59 m)^2

Calculating the above expression gives the magnitude of the gravitational force A exerts on B.

For the force B exerts on A, we use the same formula:

[tex]F_BA = (G * m_A * m_B) / r^2[/tex]

Substituting the given values: m_A = 7.5 kg, m_B = 6.3 kg, and r = 0.59 m:

[tex]F_BA = (6.67430 * 10^-11 N m^2 / kg^2) * (6.3 kg) * (7.5 kg) / (0.59 m)^2[/tex]

Calculating the above expression gives the magnitude of the gravitational force B exerts on A.

To find the distance between the centers of the spheres when the force between them is 3.50 times 10^-9 N, we rearrange the formula to solve for r:

r = √((G * m_A * m_B) / F)

Substituting the given values: m_A = 7.5 kg, m_B = 6.3 kg, and F = 3.50 × 10^-9 N:

r = √[tex]((6.67430 * 10^-11 N m^2 / kg^2) * (7.5 kg) * (6.3 kg) / (3.50 *10^-9 N))[/tex]

Calculating the above expression gives the distance between the centers of the spheres.

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find the coordinate vector of a =[ 2 3 4 5] with respect to the basis = [e22, e21, e12, e11 ] of m22.

Answers

The coordinate vector of vector a = [2, 3, 4, 5] with respect to the basis B = [e22, e21, e12, e11] of M22 is [3, 4, 5, 2].

To find the coordinate vector, we need to express vector a as a linear combination of the basis vectors. The given basis B represents the standard basis for a 2x2 matrix.

Let's break down the process step by step:

Start with the basis vectors: e22, e21, e12, e11.

Express vector a as a linear combination of the basis vectors:

a = 2 * e22 + 3 * e21 + 4 * e12 + 5 * e11

The coefficients in front of each basis vector represent the coordinates of a with respect to the basis B.

Therefore, the coordinate vector of a with respect to B is [2, 3, 4, 5].

However, it's important to note that the given basis B is not the standard basis for a 2x2 matrix. The standard basis for a 2x2 matrix consists of the following vectors: e11 = [1, 0, 0, 0], e12 = [0, 1, 0, 0], e21 = [0, 0, 1, 0], e22 = [0, 0, 0, 1].

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Which pair of equations below is a result of constructing the altitude, h, in triangle ABC?

Answers

Answer:

the answer is A:

sinA=h/c

sinC=h/a

Step-by-step explanation:

edge 2020

The pair of equations is sinA=h/a cosC=h/a

What is trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms.

When a altitude is drawn from the base of the triangle

we can write

sinA=height/ a where a, is the side length of AB

also,cos C=height/a where a, is the side length of AB

Therefore,The pair of equations is where a, is the side length of AB

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Can someone explain pls I don’t understand how to do it lol
Find the volume of the
rectangular prism.
3 cm
9 cm
7 cm
V = [?] cm3

Answers

To find the volume of the rectangular prism you have to multiply 3 times 9 times 7 which is also Length times width times height and the answer is 189

Answer:

189cm^3

Step-by-step explanation:

First, we need to find the formula of "how to find the volume of any prism":

length * width *height

* = multiply

So that means we need to do:

7cm * 9cm * 3cm

= 189cm^3

^ = exponent

Hope this helped :)

Bill needs to read 3 novels each month.
Let N be the number of novels Bill needs to read in M months.
Write an equation relating N to M. Then use this equation to find the number of novels Bill needs to read in 19 months.

Write the equation?

Number of the novels in 19 months: _ novels

Answers

Answer:

Each month Bill reads 3 novels so you get

N = 3m

If you plug in 6 for m we get

N = 3(6) = 18

Bill needs to read 18 novels in 19 months

Step-by-step explanation:

Other Questions
QUESTION 3Read the following run-on sentence:ian is very excited about making homemade ginger ale he is also a little nervous.Which of the revisions corrects the sentence?O a. lan is very excited about making homemade ginger ale. He is also a little nervous.O b. lan is very excited about making homemade ginger ale, he is also a little nervous.O c. lan is very excited about making homemade ginger ale; but he is also a little nervous.O d. lan is very excited about making homemade ginger ale, and, he is also a little nervous. Mary Jones completed her Masters degree at Webster University ten years ago, and recently inherited $125,000. After taxes of $20,000, and a couple of parties and cruises, she still has $100,000. It is in a short-term CD earning 1%. She has been working for 10 years at a job that pays her $45,000 a year, plus benefits. She is a single mom, 50 years old and has one child left at home who will be graduating from high school this year and plans to go to college. She has been interested in starting a business of her own for some time, but never had the funds to jump start the idea.Her monthly expenses which include mortgage, car payments insurance, etc. are $3,500Harry Smith works at the same place. He is a single dad with one child that is a junior in high school who plans to go to college. He earns $45,000 plus benefits each year and is also 50. He and Mary have talked about starting a business off and on for several years. He has accumulated $100,000 that he is willing to commit.His monthly expenses which include mortgage, car payments insurance, etc. are $3,200They have agreed that a fast-food business of some sort would work for them. They are looking at some businesses that are available now. Neither has any experience in this type of business.1. Charlies Fast Snacks can be bought for $40,000 down and $60,000 (0 interest) over the next 5 years.2. Jills Juice Bar can be bought for $30,000 down and $70,000 (0 interest) over the next 5 years.3. The Squeeze Box (a franchise). $75,000 down and $25,000 (5% interest) over the next 5 yearWhich of the three small businesses in the Harry and Mary case should they buy? n+4=12 .step by step working please A guy wire supporting a radio tower is attached to the tower 128 feet above the ground. The wire makes a 45 degree angle with the ground. How long is the guy wire In a certain chemical, the ratio of zinc to copper is 3 to 14. Ajar of the chemical contains546 grams of copper. How many grams of zinc does it contain?It contains grams of zinc how does buddhism spread throughout asia. The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3950 grams and a standard deviation of 374 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4473 grams. Round your answer to four decimal places. Consider this endothermic reaction at equilibrium: I2(g) 2 I (g)Predict the effect of these changes:a) Increasing the temperatureb) Decreasing the temperature What investment do financial advisors consider to be risk free, and why? What caused so many banks to fail during the Great Depression?A. Most banks failed due to people unwilling to use saving accounts.B. Most banks failed due to over-investing and risky business practices.C. Most banks failed because the outbreak of communism made private property illegal.D. Most banks failed due to over government intervention and regulation. A new product costs $.84 each to manufacture and 5.52 each to market. If 50,000 will be sold, what must the price of each product be to provide a profit of 15 percent of the price? O $1.48 O $51.60 O $1.86 O S1.36 O $1.75 The Acmeville Metropolitan Bus Service currently charges $0.99 for an all-day ticket, and has an average of 588 riders a day. The bus company is not earning a profit, but according to their contract with the city, they cannot cut the number of buses on the road. They must therefore find a way to increase revenues. The bus company is considering increasing the ticket price to $ 1.1 . The marketing department's studies indicate this price increase would reduce usage to 337 riders per day. Calculate the absolute value of the price elasticity of demand for bus tickets using the simple percentage change method. Round your answer to one decimal place. A converging lens, which has a focal length equal to 8.1 cm, is separated by 30.8 cm from a second lens. The second lens is a diverging lens that has a focal length equal to -14.6 cm. An object is 16.2 cm to the left of the first lens.(a) Find the position of the final image using both a ray diagram and the thin-lens equation. _________ cm to the right of the object(b) Is the final image real or virtual?Is the final image upright or inverted?(c) What is the overall lateral magnification?I am really unsure how to even start problems like this. We only recieved some really simple notes over it and it is not helping at all. I just need a solution that will take me through the steps and make the terminology very clear to me so i can use it for other similar problems. Thanks. 40 POINTS !! 40 POINTS !!PLEASE HELP , DONT SKIP !NO LINKS OR FILES. Rome created a huge urban system. The integration of the Roman Empire was greatly facilitated by aA. Good Portal system B. transportation systemC. lack of languages D. labor shortages the structure for the product from the reaction of 1,3-cyclohexadiene and maleic acid (cis-2-butenedioic acid). Write a real world problem in which you need to find the volume of a right rectangular prism. Solve your problem. If Y is inversely proportional to x and y=4 when x= 100, what is the value of y when x=250 Compute in the ancient Egyptian way: (b) 556 (a) 26 20 (c) 71 21 (d) 25 18 (e) 52 68 (f) 13 36 A 1.7 kg box moves back and forth on a horizontal frictionless surface between two different springs, as shown in the accompanying figure. The box is initially pressed against the stronger spring, compressing it 4.7 cm , and then is released from rest. (Figure 1)A) By how much will the box compress the weaker spring?B) What is the maximum speed the box will reach?