20. You conduct a simulation regarding how many registered voters voted in the last election. Your null hypothesis is that the percentage of people who voted is less than-
is that the percentage of people who voted is greater than 65%.
You determine that the results of your simulation have a p-value of 0.08. What does this mean?
Under the tested hypothesis, the outcome of the simulation has a probability of 8%. With a significance level of 1%, you should reject the null hypothesis.
O
Under the tested hypothesis, the outcome of the simulation has a probability of 8%. With a significance level of 1%, you should fail to reject the null hypothesis.
O
Under the tested hypothesis, the outcome of the simulation has a probability of 0.8%. With a significance level of 1%, you should fail to reject the null hypothesis.
O
Under the tested hypothesis, the outcome of the simulation has a probability of 0.8%. With a significance level of 1%, you should reject the null hypothesis.
O
M
PREVIO

Answers

Answer 1

Under the tested hypothesis, the outcome of the simulation has a probability of 8%. With a significance level of 1%, you should fail to reject the null hypothesis.

Describe p-value?

In statistics, the p-value is a measure of the strength of evidence against a null hypothesis. It is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true.

In hypothesis testing, the null hypothesis is a statement about a population parameter that is being tested. The alternative hypothesis is another statement about the population parameter that is being tested as an alternative to the null hypothesis. The p-value is used to determine whether the observed data provides strong evidence against the null hypothesis in favor of the alternative hypothesis.

Under the tested hypothesis, the outcome of the simulation has a probability of 8%. With a significance level of 1%, you should fail to reject the null hypothesis.

The p-value is the probability of obtaining a result as extreme or more extreme than the observed result, assuming the null hypothesis is true. In this case, the null hypothesis is that the percentage of people who voted is less than or equal to 65%. Since the p-value (0.08) is greater than the significance level of 1%, we fail to reject the null hypothesis. This means that we do not have enough evidence to conclude that the percentage of people who voted is greater than 65%.

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Answer 2

The result of the simulation has an 8% probability under the tested hypothesis. You should be unable to deny the null hypothesis at a significance level of 1%.

Describe p-value?

The p-value in statistics is a gauge of the weight of proof opposing a null hypothesis. In the event that the null hypothesis is correct, it is the likelihood of getting a test statistic that is equally extreme or more extreme than the observed value.

The null hypothesis in hypothesis testing is a claim made about the demographic parameter under investigation. In place of the null hypothesis, a different claim is made about the demographic parameter in the alternative hypothesis. The p-value is used to assess whether the recorded data strongly support the alternative hypothesis over the null hypothesis.

The p-value, under the assumption that the null hypothesis is correct, is the likelihood of getting a result that is equally extreme or more extreme than the observed result. In this instance, the null hypothesis is that less than or equivalent to 65% of eligible voters cast ballots.

We are unable to reject the null hypothesis because the p-value (0.08), which is higher than the 1% threshold of significance, is not zero. This implies that we lack sufficient evidence to draw the conclusion that more than 65% of eligible voters cast ballots.

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Related Questions

hertz runs a sale or both avis buys new cars and budget lowers rates.

Answers

The statement you provided mentions two separate events involving different companies lower rates

1. Hertz runs a sale: Hertz, a car rental company, is having a sale. This implies that they are offering in  discounted prices or promotional deals on their rental services.

2. Avis buys new cars and Budget lowers rates: Avis, another car rental company, is purchasing that  new cars to add to their fleet. On the other hand, Budget, yet another car rental   the company, is reducing their rental rates.

These events indicate of independent actions taken by the respective companies and are not directly connected to each other.

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Can you make a triangle with side lengths of 2 inches and 2 inches and 4 inches?

Answers

Answer: No you can not make any triangles with 2 inches, 2 inches and 4 inches. hoped this helped!

Step-by-step explanation:

Yolanda is charged $21.95 for her monthly fee and 4 movie rentals. Jeffrey is charged $30.92 for the same monthly fee and 7 movie rentals. determine the price for the monthly fee and the the price per movie rental.

Answers

The price for the monthly fee will be;

⇒ x = $9.99  

And, The price per movie rental will be;

⇒ y = $2.99

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Yolanda is charged $21.95 for her monthly fee and 4 movie rentals.

And, Jeffrey is charged $30.92 for the same monthly fee and 7 movie rentals.

Now,

Let the price for the monthly fee = x

And, The price for the movie rental = y

Hence, We can formulate the expression for Yolanda;

⇒ x + 4y = $21.95

And,  We can formulate the expression for Jeffrey;

⇒ x + 7y = $30.92

Subtract equation (ii) from (i), we get;

⇒ 7y - 4y = $30.92 - $21.95

⇒ 3y = $8.97

⇒ y = $2.99

And, x + 4y = $21.95

x + 4 × 2.99 = 21.95

x + $11.96 = $21.95

x = $21.95 - $11.96

x = $9.99

Thus, The price for the monthly fee = $9.99  

And, The price per movie rental = $2.99

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Construct the confidence interval for the population mean μ.
c= 0.90, x= 15.3, o = 8.0, and n = 75
...
A 90% confidence interval for μ is (). (Round to one decimal place as needed.)

Answers

A 90% confidence interval for the population mean μ is approximately (13.8, 16.8), rounded to one decimal place as needed.

How to solve

To construct a 90% confidence interval for the population mean μ, we will use the following formula:

CI = x ± z*(σ/√n)

where:

CI = confidence intervalx = sample mean (15.3)z = z-score corresponding to the desired level of confidence (90%)σ = population standard deviation (8.0)n = sample size (75)

First, we need to find the z-score corresponding to a 90% confidence level.

Since a 90% confidence interval leaves 10% in the tails (5% in each tail), we will look up the z-score that corresponds to an area of 0.95 (0.50 + 0.45) in a standard normal distribution table or use a calculator to find the inverse of the standard normal distribution.

The z-score for a 90% confidence interval is approximately 1.645.

Now, we can plug the values into the formula:

CI = 15.3 ± 1.645*(8/√75)

CI = 15.3 ± 1.645*(8/√75)CI = 15.3 ± 1.645*(8/8.66)CI = 15.3 ± 1.645*(0.924)

Now, multiply the z-score by the standard error:

CI = 15.3 ± (1.645 * 0.924)

CI = 15.3 ± 1.52

Finally, calculate the confidence interval:

Lower limit: 15.3 - 1.52 = 13.78Upper limit: 15.3 + 1.52 = 16.82

So, a 90% confidence interval for the population mean μ is approximately (13.8, 16.8), rounded to one decimal place as needed.


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Determine whether the given set of functions is linearly independent on the interval (-infinity, infinity). f_1(x) - x, f_2(x) = x^2, f_3(x) = 3x - 6X^2 linearly dependent linearly independent

Answers

The given set of functions {f_1(x) = x, f_2(x) = x^2, f_3(x) = 3x - 6x^2} is linearly independent on the interval (-infinity, infinity).

Linear independence of a set of functions means that no function in the set can be expressed as a linear combination of the other functions. In other words, for the set to be linearly independent, the only solution to the equation c_1f_1(x) + c_2f_2(x) + c_3f_3(x) = 0 should be c_1 = c_2 = c_3 = 0, where c_1, c_2, and c_3 are constants.

To determine if the given set is linearly independent, we need to check if there exist non-zero constants c_1, c_2, and c_3 such that c_1f_1(x) + c_2f_2(x) + c_3f_3(x) = 0 for all x in the interval (-infinity, infinity).

By substituting the functions into the equation and equating the coefficients of the terms with the same powers of x, we can solve for c_1, c_2, and c_3. If the only solution is c_1 = c_2 = c_3 = 0, then the set is linearly independent. In this case, the given set is indeed linearly independent as there is no non-zero solution to the equation, confirming that the functions are not dependent on each other.

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For a company using the allowance method of accounting for uncollectible accounts, which of the following directly affects its reported net income?

1. the establishment of the allowance

2. the writing off of a specific account

3. the recovery of an account previously written off as uncollectible

Answers

The correct answer is all of the above options affect the company's financial statements in different ways, but the establishment of the allowance directly affects the reported net income.

For a company using the allowance method of accounting for uncollectible accounts, the establishment of the allowance, writing off of a specific account, and recovery of an account previously written off as uncollectible all affect its financial statements, but in different ways:

The establishment of the allowance: This directly affects the amount of bad debt expense recognized in the income statement, which in turn affects the reported net income. When the company establishes an allowance for uncollectible accounts, it recognizes an expense for the estimated amount of uncollectible accounts, which reduces the reported net income.

The writing off of a specific account: This does not affect the net income directly because the expense for bad debt has already been recognized when the allowance was established. However, it does affect the balance sheet because the amount of accounts receivable and the allowance for uncollectible accounts are both reduced.

The recovery of an account previously written off as uncollectible: This affects both the income statement and the balance sheet. The amount of the recovery is recognized as revenue, which increases the reported net income. Additionally, the accounts receivable and allowance for uncollectible accounts are both increased by the amount of the recovery.

Therefore, the correct answer is all of the above options affect the company's financial statements in different ways, but the establishment of the allowance directly affects the reported net income.

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I need help with this problem please

I need help with this problem please

Answers

Answer:no

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is YES.

equation 1 is equal to equation 2 in a system. by this we have :

3x+3=4x+1 ⇒ x=2

let's put the value of 2 for x in one of the equations :

equation 1: (3×2)+3=6+3=9 ⇒ y=9 ⇒ correct

equation 2: (4×2)+1=8+1=9 ⇒ y=9 ⇒ correct

so (x,y)=(2,9) is the answer of the system.

Answer is D)-4 but please explain how to get it

Answer is D)-4 but please explain how to get it

Answers

Answer:

D

Step-by-step explanation:

We could plug x into the equation but to make it easier we simplify it first

\(\frac{1}{x} -\frac{1}{x+1}\)

\(-\frac{1}{x+1} + \frac{1}{x}\)

\(-\frac{1}{2x+1}\)

x = -1/2

-2-2 = -4

$34.97 is what percent of $86.08?

Round your answer to the nearest whole number and include a percent sign (%).

Answers

34.97 is 41% of 86.08

Evaluate whether the value makes a true or false statement.
-16 < b-8, if b = -8
a. True
B) False

Answers

Answer:

False they would be equal

Step-by-step explanation:

Gabriel needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 587 knives. There are currently 387 knives. If each set on
sale contains 20 knives, use the drop-down menu below to write an inequality
representing s, the number of sets of knives Gabriel should buy.

Answers

The minimum number of sets of knives Gabriel should buy will be 10sets.

How to calculate minimum number of knives?

A chef's knife, a paring knife, and a serrated knife are the only three knives that are essential in a kitchen. Any more knives are a luxury; while they can facilitate cooking and enhance the experience, they are not required.

Given the least number of knives needed = 587 knives

Amount currently available on ground = 387knives

The remaining amount of knives needed = 587 - 387

The remaining amount of knives needed = 200 knives

If each set on sale contains 20 knives, the number of sets Isabella will need will be:

The number of sets of knives=200/20 =10

What is example of inequality equation?

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in.

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Are these utility functions risk-averse on some given interval [a,b] ? a. f(x)=ln(x),g(x)=e^x, h(x)=−x^2
b. f(x)=−ln(x),g(x)=−e^−x, h(x)=−4x^2−10x
c. f(x)=ln(x), g(x)=−1/(e^2x), h(x)=−x^2 + 2000x
d. f(x)=ln(x),g(x)=1/(e^2x), h(x)=−x^2+10,000x
e. f(x)=ln(−2x), g(x)=−1e^2x, h(x)=x^2−100,000x
f. f(x)=ln(−2x),g(x)=−1e^2x, h(x)=x^2−100,000x

Answers

The utility functions in options a, b, c, and f are not risk-averse on the interval [a,b], while the utility functions in options d and e are risk-averse on the interval [a,b].

In economics and finance, risk aversion refers to a preference for less risky options over riskier ones. Utility functions are mathematical representations of an individual's preferences, and they help determine whether someone is risk-averse, risk-neutral, or risk-seeking. A risk-averse individual would have a concave utility function, indicating a decreasing marginal utility of wealth.

For options a, b, c, and f, the utility functions are and f(x) = -ln(x), g(x) = \(-e^(^-^x^)\), h(x) = \(-4x^2\) - 10x, respectively. These utility functions do not exhibit concavity, which means they are not risk-averse. Instead, they either show risk-seeking behavior (options a and b) or risk-neutrality (options c and f).

On the other hand, options d and e have utility functions f(x) = ln(x), g(x) = 1/(e^(2x)), h(x) = \(-x^2\) + 10,000x and f(x) = ln(-2x), g(x) = -1/(\(e^(^2^x^)\)), h(x) = \(x^2\) - 100,000x, respectively. These utility functions display concavity, indicating a decreasing marginal utility of wealth. Thus, options d and e can be considered risk-averse on the interval [a,b].

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Evaluate the expression 5+2x where x=2

Answers

5 + 2(2) = 5 + 4
5 + 4 = 9
The solution is 9
The answer is 5+4=9 because if you plug in 2 you get 4.

Which of the following sets of numbers could represent the three sides of a triangle? O {15, 27, 44} O {5,19,25} Submit Answer {10, 24, 33} O {6, 12, 19)

Which of the following sets of numbers could represent the three sides of a triangle? O {15, 27, 44}

Answers

Explanation:

The inequality theorem states that the sum of any two sides of a triangle must be grater than the sum of the third side.

We have to try this rule for each option:

• {15, 27, 44}

\(\begin{gathered} 27+44>15\rightarrow71>15\rightarrow\text{ true} \\ 27+15>44\rightarrow42>44\rightarrow\text{ false} \end{gathered}\)

This cannot represent the sides of a triangle.

• {10, 24, 33}

\(\begin{gathered} 10+24>33\rightarrow34>33\rightarrow\text{ true} \\ 10+33>24\rightarrow43>24\rightarrow\text{ true} \\ 33+24>10\rightarrow57>10\text{ }\rightarrow\text{ true} \end{gathered}\)

This set can represent the sides of a triangle.

• {5, 19, 25}

\(5+19>25\rightarrow24>25\rightarrow\text{ false}\)

This set cannot represent the sides of a triangle.

• {6, 12, 19}

\(6+12>19\rightarrow18>19\rightarrow\text{ false}\)

This set cannot represent the sides of a triangle.

Answer:

The set of numbers that could reprensent the sides of a triangle is {10, 24, 33}

I NEED HELP IN THIS ASAP!! Which of the following statements is FALSE about the cone shown below?

I NEED HELP IN THIS ASAP!! Which of the following statements is FALSE about the cone shown below?

Answers

Answer:

D

Step-by-step explanation:

Find the probability that a randomly selected student has a score between 60 and 100Find the probability that a randomly selected student has a score between 60 and 100

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete let us assume a mean of 80 and a standard deviation of 10.

The z score is a score used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

\(z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean, \sigma=standard\ deviation\\\\for\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\\)

Given that μ = 80, σ = 10

For x = 60:

\(z=\frac{x-\mu}{\sigma} =\frac{60-80}{10}=-2\\ \\\\\\\)

For x = 100:

\(z=\frac{x-\mu}{\sigma}=\frac{100-80}{10}=2\\\\ \\\\\)

Therefore from the normal distribution table, P(60 < x < 100) = P(-2 < z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)

Answers

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Match the statements written in English with the mathematical statements.
Group of answer choices I will give brainiest

The number -4 is a distance of 4 units away from 0 on the number line.
[ Choose ]

The number -63 is more than 4 units away from 0 on the number line.
[ Choose ]

The number 4 is greater than the number -4.
[ Choose ]

The numbers 4 and -4 are the same distance away from 0 on the number line.
[ Choose ]

The number -63 is less than the number 4.
[ Choose ]

The number -63 is further away from 0 than the number 4 on the number line.
[ Choose ]

Answers

Answer:

1

Step-by-step explanation:

which graph of ordered pais shows a proportional relationship? i need help lol

Answers

B Nnn N. ‍‍‍m N. N N mn nnn

Matti is making moonshine in the woods behind his house. He’s
selling the moonshine in two different sized bottles: 0.5 litres
and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for
a

Answers

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.

Answers

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

!!! PLEASE HELP !!! Clare made green paint with 4 cups of yellow paint and 5 cups of blue paint. If Ms.
Kim only has 1 cup of blue paint, how much yellow paint should she use to get the
same color green?

Answers

Answer:

1/2 cup blue

blahnik black gg fu lrjrhjrjrek

Answer:

bshdjrjrb

Step-by-step explanation:

abcdefghijklmnop

analysis of variance is used to test for equality of several population multiple choice question. standard deviations. variances. proportions. means.

Answers

Analysis of variance (ANOVA) is a statistical tool used to test for equality of means across multiple groups or populations. This test helps to determine whether the observed differences between the means of different groups are statistically significant or simply due to chance.

ANOVA calculates the variation or deviation in the means of different groups by comparing the variance within the groups to the variance between the groups.

In ANOVA, the population is the entire group of individuals or objects that are being studied. For example, if we are comparing the means of three different age groups, the population would be all individuals in those three age groups.

ANOVA looks at the variance between these groups and within each group to determine if there is a statistically significant difference in means.

When conducting an ANOVA, standard deviations, variances, and means are all important measures of central tendency and variability. Standard deviations and variances are used to calculate the within-group variation and between-group variation.

Proportions, on the other hand, are not used in ANOVA as this test is specifically designed for continuous data, such as means.

Overall, ANOVA is a useful tool for analyzing differences in means across multiple populations.

By calculating the deviation or variation between and within groups, it can help researchers determine whether observed differences are statistically significant or not.

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What is the value of x in the following figure?

A: 128 degrees

B: 142 degrees

C: 52 degrees

D: 38 degrees

Show work.

What is the value of x in the following figure?A: 128 degrees B: 142 degrees C: 52 degrees D: 38 degrees

Answers

Answer:

D: 38 degrees

Step-by-step explanation:

this is a case of linear pair...

52° + 90° (of the right angled triangle) + = 180°

52° + = 180° - 90°

= 90° - 52°

= 38°

The answer is: D. 38 degree’s

hope this helps :)

will give brainliest-need asap- real answers only or you will be reported

will give brainliest-need asap- real answers only or you will be reported

Answers

Answer:

33

Step-by-step explanation:

The greatest common factor is 3 and the least common multiple is 30.

30 + 3 = 33

Answer: C

Step-by-step explanation: 30

Find a linear function h given h(-1)=-2 and h(-7)=-9 The linear function is h(x)= (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answers

h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

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what is the height of a right triangle with an angle that measures 60 degrees and a base of 10 adjacent to the 60 degree angle?

Answers

Answer:

17.321 with 3 Decimal Places.

Step-by-step explanation:

tan(60) = height / base

\(tan(60)= \frac{h}{10}\)

\(h=10tan(60) = 17.321\)

with 3DP

The height of a right triangle with an angle that measures 60 degrees and a base of 10 adjacent to the 60 degree angle is 5√3.

A right triangle is a triangle in which one of the angles measures 90 degrees, and this angle is called the right angle.

Right triangles can be classified as acute or obtuse, depending on the measure of the other two angles. Acute triangles have two acute angles, whereas obtuse triangles have one obtuse angle. A 60-degree angle is an acute angle because it is less than 90 degrees.

The height of a right triangle is the length of a line perpendicular to the base that connects the base to the opposite vertex. The length of the height of a right triangle can be calculated using the trigonometric function sine. For the given triangle, the 60-degree angle is opposite the height, and the 10 is adjacent to it.

The trigonometric function we need to use in this case is sine. Therefore, the height h is given by:h = 10sin(60)h = 10(√3/2)h = 5√3

To know more about trigonometric function refer to-

brainly.com/question/6904750#
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Based on the line of best t for the scatterplot, which of the following amounts is closest to the cost of a 120-minute phone call?

A.$10 B.$12 C.$15 D.$20

Answers

The amounts is closest to the cost of a 120-minute phone call is $12

The correct option is (B)

What is Graph?

A graph is a collection of points, called vertices, and lines between those points, called edges. There are many different types of graphs in discrete mathematics.

We have the graph of scatterplot

and, To find the which amounts is closest to the cost of a 120-minute phone call?

Now, According to the question:

From the graph of cost vs time :

It is clear that :

For 10 min - 1 $ 20 min - 2$

and so on.

So, For 120 min is 12$.

The correct option is (B)

Learn more about Graph at:

https://brainly.com/question/17267403

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For complete question, to see the attachment.

Based on the line of best t for the scatterplot, which of the following amounts is closest to the cost

2. Un auto viaja a 60 km/h y se detiene a los 2 segundos. qué distancia recorrió en el
frenado? ¿qué aceleración adquirió? ¿Si la aceleración es positiva o negativa, explica
por qué?

Answers

Se calcula que la aceleración es - 8,35 m/s.

¿Qué es la aceleración?

Ahora sabemos lo siguiente de la pregunta;

Velocidad inicial (u) = 60 km/h o 16,7 m/s

Tiempo empleado (t) = 2 s

Dado que;

v = tu + en

v = 0 m/s porque el carro se detenía

tu = -en

a = -(u/t)

 a= -1(6,7 m/s/2 s)

a =- 8,35 m/s

La aceleración es negativa porque la velocidad disminuye con el tiempo.

Obtenga más información sobre la aceleración: https://brainly.com/question/12550364

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Can anyone help please

Can anyone help please

Answers

y=0.5 since it goes up 0.5
The answer is y= 10x
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