The radius is longer than the diameter.

A) never true

B) always true

Answer:

86

Step-by-step explanation:

So the angle your trying to find has another angle 4 the triangle is a right triangle so 90-4=86

Hopes This Helps :)

The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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Reflections and translations do not guarantee that all corresponding sides of the figures will be equal.

What is translation and reflection?

The translation is when we slide a figure in any direction. Reflection is when we flip a figure over a line.

Based on these two statements, Tyler can determine the following:

1. RST = R’’S’’T’’

4. R = R’ = R’’

5. TS = T’S’ = T’’S’’

Tyler cannot determine that RS = ST = TR, because reflections and translations do not necessarily produce congruent figures. Similarly, Tyler cannot determine that R = S = T, because reflections and translations do not guarantee that all corresponding sides of the figures will be equal.

Hence, Reflections and translations do not guarantee that all corresponding sides of the figures will be equal.

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Using the binomial distribution, it is found that there is a 0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes. Either they say job applicants should follow up within two weeks, or they do not say it. The opinion of a manager is independent of any other manager, which means that the binomial distribution is used to solve this question.

Binomial probability distribution  

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)  

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that at least 4 of them say job applicants should follow up within two weeks is \(P(X \geq 4)\), which is given by:

\(P(X \geq 4) = 1 - P(X < 4)\)

In which:

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8,0}.(0.41)^{0}.(0.59)^{8} = 0.0147\)

\(P(X = 1) = C_{8,1}.(0.41)^{1}.(0.59)^{7} = 0.0816\)

\(P(X = 2) = C_{8,2}.(0.41)^{2}.(0.59)^{6} = 0.1985\)

\(P(X = 3) = C_{8,3}.(0.41)^{3}.(0.59)^{5} = 0.2759\)

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0147 + 0.0816 + 0.1985 + 0.2759 = 0.5707\)

\(P(X \geq 4) = 1 - P(X < 4) = 1 - 0.5705 = 0.4295\)

0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

A similar problem is given at https://brainly.com/question/25166697

Answer:

x = -6

Step-by-step explanation:

1/2x = -3

Divide both sides by 1/2

1/2x / 1/2 = -3 / 1/2

x = -6

Hope this helps and pls do mark me brainliest if you can:)

Answer:

-6

Step-by-step explanation:

to get rid of the 1/2 multiply it by 2 and multiply -3 by the 2 aswell

(2) 1/2x  = -3 (2)

x=-6

Answer:

Step-by-step explanation:

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

50

Step-by-step explanation:

58 - 9.5

Answer:

Your correct answer is 52.49

Step-by-step explanation:

Subtract.

58 - 9.5% = 52.49

Answer:

A. theorem.

Step-by-step explanation:

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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Answer:

A

Step-by-step explanation:

X always come first. right is adding left is subtracting

y comes second, up is adding down is subtracting.

say we start on the origin, the new quardnates would be

(2,-3)

Answer:

-39

Step-by-step explanation:

Hello, to do this problem, we need to use substitution.

c=-4 and x=7

-5x+c

-5(7)+-4

-35-4

=-39

Hope that helps

:D

Answer:

c = -4

x = 7

- 5 (7) + (- 4)

- 35 + (- 4)

= - 39

Hope this helps :)

The other angle that also measure 62° is ∠WYZ = 62° which corresponds to ∠x. Because the triangles given are similar.

The given figure is a right triangle XYZ has altitude YW drawn to the hypotenuse XZ. The altitude drawn to the hypotenuse of a right triangle creates two similar right triangles, each similar to the original right triangle and similar to each other. Because the triangles properties and triangles are similar to one another, ratios of all pairs of corresponding sides are equal. This produces three proportions involving geometric means. Note that XY and YZ are legs of the original right triangle; XZ is the hypotenuse in the original right triangle; YW is the altitude drawn to the hypotenuse; XW is the segment on the hypotenuse touching leg XY and WZ is the segment on the hypotenuse touching leg.

Therefore, The other angle that also measure 62° is ∠WYZ = 62° which corresponds to ∠x.

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Answer:

\(\frac{1}{3^{4} } \\\\\frac{1}{81}\)

Step-by-step explanation:

Answer: -81, the product would just be 3∧4 but negative

Answer:

25

13442145

1352453

Step-by-step explanation:

In order to solve this problem, we need to use proportions.

We have:

cost in dollars number of bags of ice

8.16 6

x 7

We are assuming that the cost is proportional to the number of bags of ice. So, to find the value x that represents the cost for 7 bags of ice, we can cross multiply the proportions above:

x * 6 = 8.16 * 7

Now if we divide both sides by 6, we isolate the variable x on the left side of the equation, and find its value:

x * 6 = 8.16 * 7

x * 6/6 = 8.16 * 7/6

x = (8.16/6) * 7

x = 1.36 * 7

x = 9.52

Therefore, it would have cost them $9.52.

Answer:

8=8 so it is true

Step-by-step explanation:

The equations that represent a linear functions are:

From the question, we have the following parameters that can be used in our computation:

The list of options

As a general rule

Linear functions are functions with a degree of 1

Using the above as a guide, we have the following equations with a degree of 1:

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Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Answer:

1) 0.6838

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

35.45% of small businesses experience cash flow problems in their first 5 years.

This means that \(p = 0.3545\)

Sample of 530 businesses

This means that \(n = 530\)

Mean and standard deviation:

\(\mu = p = 0.3545\)

\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.3545(1-0.3545)}{530}} = 0.0208\)

What is the probability that between 34.2% and 39.03% of the businesses have experienced cash flow problems?

This is the p-value of Z when X = 0.3903 subtracted by the p-value of Z when X = 0.342.

X = 0.3903

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.3903 - 0.3545}{0.0208}\)

\(Z = 1.72\)

\(Z = 1.72\) has a p-value of 0.9573

X = 0.342

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.342 - 0.3545}{0.0208}\)

\(Z = -0.6\)

\(Z = -0.6\) has a p-value of 0.27425

0.9573 - 0.2743 = 0.683

With a little bit of rounding, 0.6838, so option 1) is the answer.

Answer:

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

Out of 100 people sampled, 42 had kids.

This means that \(n = 100, \pi = \frac{42}{100} = 0.42\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a p-value of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).  

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.293\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.547\)

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

Answer: I would see the councilor and see if that can help thats what I did they gave me option and I also could have had a pass to eat with a teacher or I could eat in there office :)

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer:

B

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

Answer:

−55x+750=0

Step-by-step explanation:

Answer:

Step-by-step explanation:

To calculate the number of students Ms. Sheldon has this year, we need to first find 150% of the number of students she had last year.

150% of 30 students can be found by multiplying 30 by 1.5 (since 150% is the same as 1.5 times the original amount):

30 x 1.5 = 45

Therefore, Ms. Sheldon has 45 students in her class this year.

Answer:

65 riders

Step-by-step explanation:

52 times 0.25 = 13 (25% of 52)

52 + 13 = 65

Answer:

There were 65 riders on the next bus.

Step-by-step explanation:

To solve this you have to know what 25% of 52 is, and since 25% of 52 is 13, you have to add 52 and 13 so you get 65 as your result.

I hope this helps you :D

Answer:

y = -3x - 31

Step-by-step explanation:

We know that the slope intercept formula of a line is;

y = mx + c

From the given equation of y = -3x + 2, we can say that the slope is -3.

Now, parallel lines have the same slope.

Thus, for passing through (-8,-7), the slope will be -3.

So, equation is;

(y - y1) = m(x - x1)

Thus;

(y - (-7)) = -3(x - (-8))

y + 7 = -3(x + 8)

y = -3x - 24 - 7

y = -3x - 31