Answers
The zeros of f according to their multiplicity are:
Zero of multiplicity 1: x = -8, x = -3, x = 0, x = 9
Zero of multiplicity 2: None
Zero of multiplicity 3: None
Here,
We have,
The zeros of a polynomial function are the values of x that make the function equal to zero. The multiplicity of a zero is the number of times it appears as a factor in the polynomial.
In the given function f(x), the zeros are the values of x that make the function equal to zero.
We can find these values by setting the function equal to zero and solving for x.
f(x) = 7x(x-9)(x+8)^2(x+3) = 0
Therefore, the zeros of f(x) are x = -8, x = -3, x = 0, and x = 9.
To determine the multiplicity of each zero, we can look at the degree to which the corresponding factor appears in the polynomial.
For example, x = -8 is a zero of multiplicity 2 because it appears as a factor twice in the function, as (x+8)^2.
Similarly, x = -3, x = 0, and x = 9 are zeros of multiplicity 1 because they each appear as a factor once in the function.
There are no zeros of multiplicity 3 or higher in this function, so we can list "None" for those categories.
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Related Questions
A garden is in the shape of a square with a perimeter of 36 feet. The garden is surrounded by two
fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from th
first fence on the outside. If the material used to build the two fences is $1.15 per foot, what was the
total cost of the fences?
Answers
The perimeter of the square garden is 36 feet, which means that each side of the square is 36/4 = 9 feet long. Therefore, the total cost of the fences is $92.
How is Perimeter calculated?The length of the outer fence, which is 2 feet away from the garden, is equal to the perimeter of a larger square with sides that are 2 feet longer than the sides of the original garden.
So, the length of the outer fence is 4(9+2) = 44 feet.
The length of the inner fence, which is around the perimeter of the garden, is equal to the perimeter of the original square garden, which is 4(9) = 36 feet.
The total length of both fences is the sum of the lengths of the inner and outer fences:
36 + 44 = 80 feet.
The cost of the fences is the total length of both fences multiplied by the cost per foot:
80 x $1.15 = $92.
Therefore, the total cost of the fences is $92.
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Suppose a worker makes $22,000 in wages per year. Find the percent increase in salary the worker can expect if he/she trains to be a teacher and can expect to earn a salary of $42,000.
Answers
The solution is, the percent increase in salary is: 90.9%
Here, we have,
given that,
Suppose a worker makes $22,000 in wages per year.
and, he/she trains to be a teacher and can expect to earn a salary of $42,000.
now, we have to find the percent increase in salary the worker can expect.
so, we have,
previous salary = $22,000
expected salary = $42,000.
so, increase = $ 20000
so, the percent increase in salary is:
20000/22000 * 100
=90.90
so, the percent increase in salary is: 90.9%
Hence, The solution is, the percent increase in salary is: 90.9%.
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Can you check if all these answers are correct?
Question 1: The side length c of the triangle is equal to: c 2 =a 2 +b 2 −2abcosC where a and b are the other two side lengths of the triangle, and C is the angle opposite side c. To solve for c, you can plug in the values of a, b, and C into the formula and solve for c. For example, if a=3, b=4, and C=60 ∘ , then you would plug in these values into the formula and solve for c as follows: c 2 =3 2 +4 2 −2⋅3⋅4cos60 ∘ c 2 =25 c= 25 =5 Therefore, the side length c of the triangle is equal to 5. Question 2: The angle C of the triangle is equal to: cosC= 2ab a 2 +b 2 −c 2 where a, b, and c are the other two side lengths of the triangle. To solve for C, you can plug in the values of a, b, and c into the formula and solve for C. For example, if a=3, b=4, and c=5, then you would plug these values into the formula and solve for C as follows: cosC= 2⋅3⋅4 3 2 +4 2 −5 2 =− 4 1 C=cos −1 (− 4 1 )≈109.47 ∘ Therefore, the angle C of the triangle is approximately 109.47 degrees. Question 3: The area of the triangle is equal to A= 2 1 absinC where a and b are the other two side lengths of the triangle, and C is the angle opposite side c. To solve for A, you can plug in the values of a, b, and C into the formula and solve for A. For example, if a=3, b=4, and C=60 ∘ , then you would plug in these values into the formula and solve for A as follows: A= 2 1 ⋅3⋅4sin60 ∘ =6 3 Therefore, the area of the triangle is equal to 6 3 . Question 4: The perimeter of the triangle is equal to: P=a+b+c where a, b, and c are the three side lengths of the triangle. To solve for P, you can simply add up the values of a, b, and c. For example, if a=3, b=4, and c=5, then you would add up these values to get P=12. Therefore, the perimeter of the triangle is equal to 12. Question 5: The centroid of the triangle is located at a point that is: One-third of the way from each vertex to the opposite side. Equidistant from all three vertices. On the medians of the triangle. To find the centroid of the triangle, you can use the following formula: G=( 3 a+b+c , 3 a+b+c , 3 a+b+c ) where (a,b,c) are the coordinates of the three vertices of the triangle.
Answers
Answer:
All of the answers appear to be correct based on the given formulas and values.
Find WX. Assume that segments that appear to be tangent are tangent.
WX =
(50 POINTs will give BRAINIEST FOR EFFORT)
Answers
Answer:
WX = 34 units---------------------
WX and YX are tangents drawn from point X to circle Z.
Tangent segments drawn to the same circle from the same point are equal:
WX = YXSubstitute values for side lengths and solve for x:
7x - 29 = 2x + 167x - 2x = 16 + 295x = 45x = 9Substitute 9 for x and find the length of tangent WX:
WX = 7*9 - 29 = 63 - 29 = 34What is the slope of the line 9x+3y=11
Answers
Step-by-step explanation:
Arrange this equation into y = mx + b form.....m is the slope
9x+3y =11
3y = -9x + 11
y = -9/3 x + 11/3
y = -3 x + 11/3 m = slope = - 3
What is the solution to 2|1-x|+1>3
Answers
Answer:
x < 0, x > 2
Step-by-step explanation:
|1-x| > 1
(x-1)^2 > 1
x^2 -2x + 1 > 1
x^2 - 2x > 0
x(x-2) > 0
Using the graph of y=x(x-2), x(x-2)> 0 when
x < 0, x > 2
Hope this helps and be sure to mark this as brainliest! :)
Total Time Slept
Individual Total Time Slept
(hours)
Individual Total Time Slept
(hours)
Mike 8
1
2
Gina 10
John 10 Elisabeth 9
Susan 8
1
2
Alexis 9
1
2
Linda 8
1
2
Drake 8
1
2
Frankie 6
1
2
Vincent 8
1
2
Bob 7
1
2
Herbert 9
Kim 7
1
2
John 10
Louie 9
1
2
Chrissy 7
1
2
Pamela 8
1
2
Liam 10
Heather 8 Julian 8
1
2
© 2017 Connections Education LLC. All rights reserved. 2
1. What was the most common amount of sleep?
2. Is there an outlier in the data? If so, what is it? Explain how you know.
3. What is the difference in hours between the longest night’s sleep and the
shortest night’s sleep?
4. How many people slept longer than 8 hours?
3
Part 2
Directions: The next day, Molly asked 5 more people how long they slept the night
before. Below is a chart of their answers. Add their times to the line plot you
created in Part 1.
Total Time Slept
Name Total Time Slept
(hours)
Zaria
7
LaDajia
12
Devonte
7
Leon
8
Kylie
7
1. Describe how the new data has changed the line plot.
2. Is there an outlier in the data? If so, is it the same as the outlier before the
new data was added? Explain.
3. How many total people slept less than 8 hours? How do you know?
Answers
The most common amount of sleep: is 8 hours (6 individuals).
Outlier: Frankie (slept for 6 hours), as there is a significant difference between his sleep time and the rest of the individuals in the dataset (range of 4 hours).
How to solve
The predominant resting time among the subjects is 8 hours.
Nonetheless, it's worth noting that an outlier exists within the dataset; Frankie spent a mere 6 hours sleeping - which amounts to two hours less than the sleep duration recorded by the second least rested individual (8 hours).
This information can be extracted from analyzing the figures and noticing the conspicuous discrepancy between Frankie's slumbering span and that of the other participants in the pool of data and this is the outlier.
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Find the length of the missing side
Answers
Answer: [tex]b=\sqrt{45}[/tex] or b=6.71 in.
Step-by-step explanation:
Use Pythagorean Theorem
[tex]a^2+b^2=c^2[/tex]
In this case, a=2in and c=7in, and we're solving for b.
[tex](2)^2+b^2= (7)^2\\4+b^2= 49\\b^2=45\\b=\sqrt{45}[/tex]
Therefore, b=6.71 in.
math adjacent angles
Answers
Answer: ∠EFA and/or ∠CFB
Step-by-step explanation:
Adjacent: In order to classify adjacent the 2 angles need to have a common side and common vertex
Starting Angle: ∠CFE
Possible Adjacents: ∠ EFA and/or ∠CFB
You invest $1800 in an account paying 6.3% interest compounded daily. What is the account's effective annual yield? You invest $1800 in an account paying 6.3% interest compounded daily. What is the account's effective annual yield?
Answers
The account's effective annual yield if you invest $1800 and it pays 6.3% interest compounded daily, is calculated as: 6.53%.
How to Find the Effective Annual Yield?In order to find the effective annual yield of an account, the formula to apply is expressed as:
Effective annual yield = (1 + r/n)^n - 1
where:
r represents the annual interest rate (as a decimal)
n represents the number of times the interest is compounded per year
In this case, we are given the following:
Annual interest rate = 6.3% = 0.063
The interest is compounded daily, so n = 365 (days in a year)
Plugging in the variables we have:
Effective annual yield = (1 + 0.063/365)^365 - 1
Effective annual yield = 0.0653 or 6.53%
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Cheese costs $4.40 per pound. Find the cost per kilogram. (1 kg ≈ 2.2 lb)
Answers
The cost per kilogram of cheese is found by dividing the cost per pound by the conversion factor 0.45359237 kilograms per pound. The result is $9.68 per kilogram.
Start with the given cost of cheese per pound: $4.40.
To convert from pounds to kilograms, we need to divide by the conversion factor 2.2 (since 1 kilogram is approximately equal to 2.2 pounds). So, we have
1 pound / 2.2 = 0.45359237 kilograms / 1 pound
Note that we can write this as a conversion factor with the pound unit cancelling out, leaving us with kilograms as the desired unit.
Now, we can multiply the cost per pound by the conversion factor to get the cost per kilogram
Cost per kilogram = Cost per pound * (1 pound / 0.45359237 kilograms)
= $4.40 * (1 / 0.45359237)
Evaluating this expression using a calculator gives us
Cost per kilogram = $9.68
So the cost of cheese per kilogram is approximately $9.68.
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A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow.
Student Math Writing
1 540 468
2 432 380
3 528 463
4 574 612
5 448 420
6 502 526
7 480 430
8 499 459
9 610 615
10 572 535
11 390 335
12 593 613
(a)
Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score − writing score.)
Formulate the hypotheses.
H0: d ≤ 0
Ha: d > 0
H0: d > 0
Ha: d ≤ 0
H0: d ≤ 0
Ha: d = 0
H0: d ≠ 0
Ha: d = 0
H0: d = 0
Ha: d ≠ 0
Correct: Your answer is correct.
Calculate the test statistic. (Round your answer to three decimal places.)
-1.044
Incorrect: Your answer is incorrect.
Calculate the p-value. (Round your answer to four decimal places.)
p-value =
What is your conclusion?
Reject H0. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.
Reject H0. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.
Do not reject H0. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.
Do not reject H0. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.
(b)
What is the point estimate of the difference between the mean scores for the two tests? (Use math score − writing score.)
What are the estimates of the population mean scores for the two tests?
Math
Writing
Which test reports the higher mean score?
The math test reports a
---Select---
mean score than the writing test.
Answers
The test statistic based on the information is given by 2.19.
How to calculate the valueThis evidence-based test has an available degree of freedom of 11 - being acquired by subtracting 1 from the overall 12. With 11 degrees of freedom in combination with a 0.05 margin of significance, an applicable t-distribution table states that the essential critical value is 1.796.
Seeing as our experimental statistic of 2.19 surpasses the critical value of 1.796, we must discount the null hypothesis. Consequently, sufficient proof signifies that the average math score population attains a higher mean than its writing counterpart when contemplating a 0.05 level of significance.
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Δ XYZ, shown below, is a 30° - 60° - 90° triangle.
8). Which leg is the shorter leg?
9). In a 30° - 60° - 90° triangle, the shorter leg is always opposite the _____° angle.
10). Which leg is the longer leg?
11). In a 30° - 60° - 90° triangle, the longer leg is always opposite the ____° angle.
12). If YZ = 5, then XY = ____ and XZ = _______.
13). If YZ = 6, then XY = ____ and XZ = _______.
14). If XY = 8, then YZ = _____ and XZ = _______.
15). If XY = 6, then YZ = _____ and XZ = _______.
Answers
Answer:
8). YZ
9). 30°
10). XY
11). 90°
12). XY=10 and XZ=5√3
13). XY=12 and XZ=6√3
14). YZ=4 and XZ=4√3
15). YZ=3 and XZ=3√3
ap calculus problem
no need full detail solution
Answers
If Limₙ→∞, aₙ ≠ 0 or does not exist, then ∑^∞_{n= 1} (aₙ) diverges.
option C.
What is the solution of the limit function?
The solution of the limit function is calculated as follows;
Limₙ→∞, aₙ ≠ 0 or does not exist, then ∑^∞_{n= 1} (aₙ),
So in this type of function, we will conclude that the function diverges.
This is known as the divergence test, which states that if the limit of the nth term of a series does not approach zero, then the series diverges.
In other words, we can say that if the terms of the series do not approach zero, the series will not converge.
Thus, based on the given option, the correct answer is diverges.
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Draw a pie chart to show the periods of sunshine cloudiness and darkness during the day
Answers
The procedure for creating a pie chart based on a given set of data involves a number of steps such as.
Create a circular shape with a non-specific measurement for its radius. Begin by drawing radii that correspond to the values of each respective component, using the horizontal radius as a starting point and ensuring that the central angles match. Apply the same procedure to all element of the given information.What is the pie chart?The Steps to draw a pie chart for weather conditions in Kaduna:
1. Draw a circle to represent 24-hour period.
2. Divide circle into sections for sunshine, cloudiness, and darkness.
Lastly, Use the weather duration to find section size.
Sunlight: 10/24 = 42% of circle. Cloudy for 3 hours = (3/24) or 12.5% of circle. 11 hours for darkness = (11/24) or 45.8% of circle.Thus, Label pie chart sections attached as "Sunshine", "Cloudiness", and "Darkness".
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See text below
b Discuss the performance with your teach During a 24-hour period in Kaduna, the sun shone for 10 hours, it was cloudy for 3 hours and it was dark for the remainder of the time. Draw a pie chart to show the periods of sunshi cloudiness and darkness during the day.
For each function below, identify and enter the percent rate of change per unit, t. Round to the nearest tenth of a percent.
Then use the drop-down menus to classify each as exponential growth or decay.
Answers
The percent rate of each function given is:
[tex]f(t) = 1.18^t:16.99\%\\\\g(t) = 2^{-2t}:-9.1\%\\\\h(t) = 1.19^{\frac{t}{10} }:8.5\%\\\\k(t) = 0.13^t:-19.5\%[/tex]
What is percent rate of change?A measure known as the percent rate of change quantifies the amount of change in a quantity over time and is given as a percentage of the initial number. It is frequently used to keep tabs on population growth, shifts in the financial markets, and other occurrences.
You must first determine the amount of change in the quantity (often done by deducting the beginning value from the final value) in order to compute the percent rate of change. To calculate the percent rate of change, divide this amount of change by the starting value, multiply the result by 100, and add a percent sign.
[tex]f(t) = 1.18^t:[/tex] 16.99% is the percent rate of change per unit (t). This increase is exponential.
[tex]g(t) = 2^{-2t}:[/tex] Approximately -9.1% of a percent rate of change per unit, t. The decline is exponential.
[tex]h(t) = 1.19^{\frac{t}{10} }:[/tex] The average percent rate of change for unit t is around 8.5 percent. This increase is exponential.
[tex]k(t) = 0.13^t:[/tex] t represents the percent rate of change, which is around -19.5% per unit. The decline is exponential.
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Felix is purchasing a brownstone townhouse for $2,500,000. To obtain the mortgage, Felix is required to make a 18% down payment. Felix obtains a 30-year mortgage with an interest rate of 6.5%.
a) Determine the amount of the required down payment.
b) Determine the amount of the mortgage.
c) Determine the monthly payment for principal and interest.
quiz
Answers
Down payment = 0.18 x $2,500,000 = $450,000
b) The amount of the mortgage would be the difference between the purchase price of the townhouse and the down payment. Therefore, the amount of the mortgage would be:
Mortgage = $2,500,000 - $450,000 = $2,050,000
c) The monthly payment for principal and interest can be calculated using the loan amount, interest rate and loan term. For a 30-year loan with an interest rate of 6.5%, the monthly payment formula is:
Monthly payment = (P x (r/12)) / (1 - (1 + r/12)^(-n*12))
Where P is the loan amount, r is the interest rate (as a decimal), and n is the number of years. Plugging in the values, we get:
Monthly payment = ($2,050,000 x (0.065/12)) / (1 - (1 + (0.065/12))^(-30*12))
= $12,973.47
Therefore, the monthly payment for principal and interest would be $12,973.47.
Determine whether the graph of the quadratic function y = –2x^2 – 4x + 4 opens upward or downward. Explain.
Answers
The graph of the quadratic function [tex]y=-2x^2-4x+4[/tex] opens downward.
What is function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Here the given function is [tex]y=-2x^2-4x+4[/tex]
The general form of the quadratic function is y=[tex]ax^2+bx+c[/tex]
Then, a= -2
Which is negative value.
Then the graph is open downward.
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What are the factors of m2 – 6m + 6m – 36?
Answers
Answer:
6 and -6
Step-by-step explanation:
M^2-6m+6m-36
m^2-36
(m-6)(m+6)
Identify the domain and range of the function. y=3√x
A. Domain: x≥3, Range: y≥3
B. Domain: All Real Numbers, Range: All Real Numbers
C. Domain: x≥0, Range: y≥0
D. Domain: x≤0, Range: y≤0
Answers
The domain and range of the function are C. Domain: x≥0, Range: y≥0
Identifying the domain and range of the functionThe domain of the function is the set of all possible input values (x) for which the function is defined.
In this case, the function y = 3√x is defined for non-negative real numbers, because the root of a negative number is not a real number.
Therefore, the domain of the function is:
Domain: {x | x ≥ 0}
The range of the function is the set of all possible output values (y) that the function can take.
Since the root of any positive number is also positive, the function y = 3√x will always return a positive number for any positive input value.
Therefore, the range of the function is:
Range: {y | y ≥ 0} or [0, ∞) in interval notation.
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A triangle has two sides of length 3.2 cm and 8.5 cm.
Which value could be the length of the third side of the triangle?
Answers
Any value between 5.3 cm and 11.7 cm (exclusive) could be the length of the third side of the triangle which is 6.7cm in the given options.
What is the triangle inequality theorem?The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, for a triangle with sides a, b, and c, where c is the longest side, the following inequality holds:
a + b > c
This means that the length of any side of a triangle must be less than the sum of the lengths of the other two sides. This theorem is fundamental in geometry and is used in many proofs and applications.
According to the given informationAccording to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, the length of the third side must be greater than the difference between the other two sides and less than their sum.
Let's apply this rule to the given triangle. We have two sides of length 3.2 cm and 8.5 cm.
To be a valid triangle, the length of the third side must satisfy the following inequality:
8.5 cm - 3.2 cm < third side < 8.5 cm + 3.2 cm
5.3 cm < third side < 11.7 cm
Therefore, any value between 5.3 cm and 11.7 cm (exclusive) could be the length of the third side of the triangle. So it's 6.7cm.
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Mrs. Brown records the rainfall in Seattle, Washington during each month of 2021. (8.75, 4.68, 2.61, 1.03, 1.12, 1.91, 0.00, 0.11, 3.02, 5.76, 10.62, 4.38} Mrs. Brown wants to use a graphical representation that will allow her students to see the overall shape of the data and provide enough information to determine the 5-number summary Which representations should Mrs. Brown consider? Select all that apply.
Answers
Answer:
Its line plot and box plot
Step-by-step explanation:
uppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1600 bacteria selected from this population reached the size of 1838 bacteria in four hours. Find the hourly growth rate parameter.
Answers
Answer:
Below.
Step-by-step explanation:
Exponential growth equation is
Nt = No e^kt where No is initial quantity , Nt is quantity after time t and k is some constant.
Here we have:
1838 = 1600 e^4k
e^4k = 1838/1600 = 1.14875
4k = ln 1.14875 = 0.138674
k = 0.034669
Help me please with this question, been stuck on it for a couple days
Answers
Answer:
-4.01, -4, -7,
Step-by-step explanation:
It's as simple as substituting and solving. However, this one isnt so simple. The problem tries to trick you because each of the numbers that is provided is supposed to be substituted for x. For example, one of the numbers is 4, which means the equation would be -(4)+6[tex]\geq[/tex]10. But in this problem, the 4 would become a negative four due to the negative sign next to the x. In contrast, the negative numbers in the list provided would then become positive because negative times a negative is positive.
Final Examination O
7
Consider the following information from a company's unadjusted trial balance at December 31, 2020. All accounts have normal balances.
Accounts Receivable.
Accounts Payable
Cash
Service Revenue
Common Stock
Equipment
Insurance Expense
Multiple Choice
$ 5,100
680
1,760
6,280
4,600
5,500
430
Land
Notes Payable, Due 2023
Notes Receivable, Matures 2021
Prepaid Insurance
Rent Expense
Retained Earnings, January 1, 2020
Salaries and Wages Expense
What is the total of the debit side of the unadjusted trial balance?
$18.790
4,400
4,600
1,260
430
Saved
1,430
7,910
3,760
Answers
The value of total of the debit side of the unadjusted trial balance is,
⇒ $24,350
We have to given that;
Consider the following information from a company's unadjusted trial balance at December 31, 2020.
Hence, We get;
The computation of the total of debit side is shown below;
= Accounts Receivable + Cash + Equipment + Insurance Expense + Land + Notes Receivable + Prepaid Insurance + Rent Expense + Salaries and Wages Expense
= 5100 + 680 + 1760 + 6280 + 4600 + 5500 + 430
= $24350
Thus, The value of total of the debit side of the unadjusted trial balance is,
⇒ $24,350
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sin(75°)= sqrt1-cos(150°)/2 true or false
Answers
[tex] \sqrt{ \frac{1 - cos(150)}{2} } = \sqrt{ \frac{1}{2} - \frac{cos(150)}{2} } = \sqrt{ \frac{1}{2} - \frac{ \frac{ - \sqrt{ 3}}{2} }{2} } = \sqrt{ \frac{2}{4} + \frac{ \sqrt{3} }{4} } = \sqrt{ \frac{2 + \sqrt{3} }{4} } [/tex]
[tex]= \frac{ \sqrt{6} + \sqrt{2} }{4} [/tex]
BTW:
[tex]sin(75) = \frac{ \sqrt{6} + \sqrt{2} }{4} [/tex]
[tex] = > sin(75) = \sqrt{ \frac{1 - cos(150)}{2} } [/tex]
Ans: True
Ok done. Thank to me >:33
A statistics student believes that black cars are less likely to receive tickets for moving violations. Black cars make up 19% of all cars manufactured. The student randomly selects 70 moving violation records and finds that 10 of them involved black cars. The P-value for the test of the hypotheses, H 0: p = 0.19 and H alpha: p less-than 0.19, is 0.24. What is the correct interpretation of this value?
There is a 24% chance of a black car receiving a moving violation.
Assuming the true proportion of black cars that receive moving violations is 0.19, there is a 24% probability that the null hypothesis is true.
Assuming the true proportion of black cars that receive moving violations is 0.19, there is a 24% probability that the sample proportion would be 0.15 or less by chance alone.
Assuming the true proportion of black cars that receive moving violations is less than 0.19, there is a 24% probability that the sample proportion would be 0.15 or less by chance alone.
Answers
The correct interpretation of the P-value in this context is: Assuming the true proportion of black cars that receive moving violations is 0.19, there is a 24% probability that the sample proportion would be 0.15 or less by chance alone. So, the correct answer is C).
In other words, the P-value is the probability of obtaining a sample proportion of 0.15 or less (which corresponds to 10 black cars out of 70 total) if the true proportion of black cars that receive moving violations is actually 0.19.
Since the P-value is relatively high (larger than the significance level of 0.05), we fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that black cars are less likely to receive tickets for moving violations.
So, the correct answer is C).
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Please Help me with this math problem ASAP? x=?
Answers
The value of x in the expression is
x = -4.24How to find xTo solve for x in the the equation e^(3x+10) = 13^(x/4) we can take the natural logarithm (ln) of both sides
ln(e^(3x+10)) = ln(13^(x/4))
3x + 10 = (x/4) * ln(13)
Isolating x by collecting like terms
3x - (x/4) * ln(13) = -10
factor out x as a common factor:
x * (3 - ln(13)/4) = -10
x = -10 / (3 - ln(13)/4)
x = -4.2395
x = -4.24 to 2 decimal place
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The perimeter of a rectangle is 18 X +6 the width of the rectangle is 2X +5 what is an expression for the length of the rectangle
Answers
If perimeter of rectangle is denoted as "18x+6" and width is denoted as "2x+5", then the expression for length of the rectangle will be .
The "Perimeter" of a rectangle is known as the "total-distance" around the outside of rectangle.
Let length of rectangle be denoted by "L". The formula for the "peri-meter" for rectangle is : P = 2(length + width),
The "peri-meter" is = "18x + 6", and "width" is "2x + 5".
Substituting these values into the formula,
We get,
⇒ 18x + 6 = 2(L + 2x + 5),
⇒ 18x + 6 = 2L + 4x + 10,
⇒ 18x - 4x - 10 - 6 = 2L,
⇒ 14x - 16 = 2L,
⇒ 7x - 8 = L,
Therefore, the expression for the length of the rectangle is "7x - 8".
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if at least one child in a family with 2 children is a boy, what is the probability that both children are boys?
Answers
Answer:
The probability of both children being boys in a family with 2 children is
3
1
.
There are 3 possible outcomes for the gender of each child: boy, girl, or unknown. There are 2 children, so there are 3
2
=9 possible combinations of genders for the 2 children.
Of these 9 combinations, 3 of them have both children being boys: BB, BG, and GB. So the probability of both children being boys is
9
3
=
3
1
.
However, this is only the probability if we don't know the gender of the first child. If we know that the first child is a boy, then the probability of both children being boys is
2
1
. This is because there are only 2 possible outcomes for the gender of the second child: boy or girl. If the first child is a boy, then the second child must be a boy in order for both children to be boys. So the probability is
2
1
.
Step-by-step explanation:
Let's use the following notation for the children:
B: Boy G: Girl
There are 4 possible combinations for a family with 2 children:
1. BB (Both children are boys)
2. BG (First child is a boy, second child is a girl)
3. GB (First child is a girl, second child is a boy)
4. GG (Both children are girls)
Since we know that at least one child is a boy, we can eliminate the 4th combination (GG) as it doesn't meet the condition. Now we have 3 possible combinations left:
1. BB
2. BG
3. GB
Now, to find the probability that both children are boys (BB) from the remaining combinations, we can calculate it as follows:
Probability = (Number of favorable outcomes) / (Total possible outcomes)
Probability = 1 (BB) / 3 (BB, BG, GB)
Probability = 1/3
So, the probability that both children are boys is 1/3.