Solve the percentage problems. b Find the number if 6% of it is 20% of 6

Answers

Answer 1

Answer:

the number is 20

Step-by-step explanation:

6% of x = 20% of 6

0.06x=0.20*6

0.06x=1.20

x=1.20/0.06

x=20

Answer 2

By solving the percentage if 6% of it is 20% of 6 then the number would be equal to 20.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part into 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b percent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Let the number be x

6% of x = 20% of 6

[tex]0.06x=0.20\times6\\0.06x=1.20\\x=1.20/0.06\\x=20[/tex]

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Related Questions

The management of Discount Furniture, a chain of discount furniture stores in the Northeast, designed an incentive plan for salespeople. To evaluate this innovative plan, 12 salespeople were selected at random, and their weekly incomes before and after the plan were recorded. Was there a significant increase in the typical salesperson’s weekly income due to the innovative incentive plan? Use the .05 significance level. Estimate the p-value, and interpret it

Answers

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is

The management of Discount Furniture, a chain of discount furniture stores in the Northeast, designed an incentive plan for salespeople. To evaluate this innovative plan, 12 salespeople were selected at random, and their weekly incomes before and after the plan were recorded.

Salesperson Before After

Sid Mahone $320 $340

Carol Quick 290 285

Tom Jackson 421 475

Andy Jones 510 510

Jean Sloan 210 210

Jack Walker 402 500

Peg Mancuso 625 631

Anita Loma 560 560

John Cuso 360 365

Carl Utz 431 431

A. S. Kushner 506 525

Fern Lawton 505 619

Solution:

Corresponding income of salespersons before and after form matched pairs.

The data for the test are the differences between the income is salespersons.

μd = the​ income before minus their income after.

Bedore after diff

320 340 -20

290 285 5

421 475 - 54

510 510 0

210 210 0

402 500 - 98

625 631 -6

569 560 0

360 365 - 5

431 431 0

506 525 - 19

505 619 - 114

Sample mean, xd

= (- 20 + 5 - 54 + 0 + 0 - 98 - 6 + 0 - 5 + 0 + - 19 - 114)/12 = - 25.92

xd = - 25.92

Standard deviation = √(summation(x - mean)²/n

n = 12

Summation(x - mean)² = (- 20 + 25.92)^2 + (5 - 25.92)^2 + (- 54 + 25.92)^2+ (0 + 25.92)^2 + (0 + 25.92)^2 + ( - 98 + 25.92)^2 + ( - 6 + 25.92)^2 + (0 + 25.92)^2 + (- 5 + 25.92)^2 + (0 + 25.92)^2 + (- 19 + 25.92)^2 + (- 114 + 25.92)^2 = 17784.5168

Standard deviation = √(17784.5168/12

sd = 38.5

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

1) The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 12 - 1 = 11

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = ( - 25.92- 0)/(38.5/√12)

t = - 2.33

3) We would determine the probability value by using the t test calculator.

p = 0.02

4) Assume alpha = 0.05

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. We can conclude that at 5% significance level, there is a significant increase in the typical salesperson’s weekly income due to the innovative incentive plan

Mark computer weighs 35.769 pounds rounde to the nearest hundreds

Answers

Answer:

35.800

Step-by-step explanation:

Mrs. McAlister wrote the equation 10t-4t+3t=8 on the board and asked students to write equivalent equations.

Answers

As we solve we generate a succession of equivalent equations.

10t - 4t + 3t = 8

9t = 8

t = 8/9

Answer:

10t-4t+3t=8

t (10-4+3)=8

t (9)=8

9t=8

t=8/9

Step-by-step explanation:

In the question stated above, the common factor amongst the numbers with the variables is t, therefore we factorise the t out of the numbers, hence leaving t outside the bracket. After we solve the equation of the simple numbers of which the product is 9. After this we already know the 9 is to be multiplied by the t to make it 9t=8. We divide both side by the 9 and get a result of t=8/9

Which unit would be best for measuring the thickness of a coin?

» kilometer
») centimeter
() meter millimeter​

Answers

Answer:

centimeter is the best to meause with

What point appears to be the solution to the system of
equations shown in the graph?

Answers

Answer:

x = -2

y= -5

is the solution of the system of equations

A soda manufacturer claims that its Cherry Fizz soda has more carbonation than a competitor’s Cherry Eclipse soda. Bottles of both types of soda are opened, covered with a balloon, and then shaken. The diameter of each balloon is then measured. The mean balloon diameters are 2.3 inches for the Cherry Fizz soda and 2.1 inches for the Cherry Eclipse soda. A 90 percent confidence interval to estimate the difference in mean diameters, in inches, is (−0.8,1.2). Which of the following claims is supported by the interval?

Answers

Answer:

E) Because the interval contains 0, it is possible that there is no difference in mean carbonation levels.

Step-by-step explanation:

Hello!

The soda manufacturer claims that it's Cherry Fizz soda that has more carbonation than the competitor's Cherry Eclipse soda.

To test this claim they compared the carbonation by opening bottles of each soda, covered them with a balloon, and agitated the bottle to release the gas into the ballon. Later the balloon's diameter of each bottle of soda was measured.

Be the variables:

X₁: Diameter of a balloon filled with the gas of a Cherry Fizz soda bottle.

X₂: Diameter of a balloon filled with the gas of a Cherry Eclipse soda bottle.

X[bar]₁= 2.3 inches

X[bar]₂= 2.1 inches

The difference between the two means μ₁-μ₂ was estimated with a 90% CI, obtaining: [-0.8;1.2]inches

Usings 90% confidence level you can expect the interval [-0.8;1.2]inches to include the difference between the diameter of the balloons filled with the gas of the Cherry Fizz soda and the diameter of the balloons filled with the gas of the Cherry Eclipse soda.

The claims are:

A) Because 2.3 inches is larger than 2.1 inches, the manufacturer is correct, and Cherry Fizz has more carbonation.

INCORRECT, the given values are sample measures, you cannot reach any valid conclusions by simply comparing them.

B) Because the interval has more positive than negative values, Cherry Fizz has more carbonation.

INCORRECT, the confidence interval provides a range of values for the estimated parameter, it is equally probable that the parameter is closer to the lower bond, the upper bond, or in the middle of the interval.

C) Because 2.3 and 2.1 are very similar, there is no difference in the mean carbonation levels.

INCORRECT, same as in item A, you cannot reach any valid conclusion by just comparing the sample values, a propper hypothesis test is needed.

D) The interval cannot be interpreted because negative measurements are not possible.

INCORRECT, this interval vas made to estimate the difference between the two means, therefore if one value is less than the other it is possible to observe negative values.

If the CI was to estimate the value of the mean diameter of the balloons of one of the groups, then a negative measurement would be invalid.

E) Because the interval contains 0, there may be no difference in mean carbonation levels.

CORRECT

If you were to test the hypotheses

H₀: μ₁-μ₂=0

H₁: μ₁-μ₂≠0

Using a significance level, complementary to the confidence level used to construct the interval α: 0.1 you can decide whether or not the difference between population means are equal to zero or not.

If the interval contains the zero, then you do not reject the null hypotheses and there is no difference between the population means.

If the interval doesn't include the zero, then you reject the null hypothesis.

I hope this helps!

E) Because the interval contains 0, it is possible that there is no difference in mean carbonation levels.

What will be the answer?

The soda manufacturer claims that it's Cherry Fizz soda that has more carbonation than the competitor's Cherry Eclipse soda.

To test this claim they compared the carbonation by opening bottles of each soda, covered them with a balloon, and agitated the bottle to release the gas into the ballon. Later the balloon's diameter of each bottle of soda was measured.

Be the variables:

X₁: Diameter of a balloon filled with the gas of a Cherry Fizz soda bottle.

X₂: Diameter of a balloon filled with the gas of a Cherry Eclipse soda bottle.

X[bar]₁= 2.3 inches

X[bar]₂= 2.1 inches

The difference between the two means μ₁-μ₂ was estimated with a 90% CI, obtaining: [-0.8;1.2]inches

Usings 90% confidence level you can expect the interval [-0.8;1.2]inches to include the difference between the diameter of the balloons filled with the gas of the Cherry Fizz soda and the diameter of the balloons filled with the gas of the Cherry Eclipse soda.

The claims are:

A) Because 2.3 inches is larger than 2.1 inches, the manufacturer is correct, and Cherry Fizz has more carbonation.

INCORRECT, the given values are sample measures, you cannot reach any valid conclusions by simply comparing them.

B) Because the interval has more positive than negative values, Cherry Fizz has more carbonation.

INCORRECT, the confidence interval provides a range of values for the estimated parameter, it is equally probable that the parameter is closer to the lower bond, the upper bond, or in the middle of the interval.

C) Because 2.3 and 2.1 are very similar, there is no difference in the mean carbonation levels.

INCORRECT, same as in item A, you cannot reach any valid conclusion by just comparing the sample values, a propper hypothesis test is needed.

D) The interval cannot be interpreted because negative measurements are not possible.

INCORRECT, this interval vas made to estimate the difference between the two means, therefore if one value is less than the other it is possible to observe negative values.

If the CI was to estimate the value of the mean diameter of the balloons of one of the groups, then a negative measurement would be invalid.

E) Because the interval contains 0, there may be no difference in mean carbonation levels.

CORRECT If you were to test the hypothesesH₀: μ₁-μ₂=0H₁: μ₁-μ₂≠0

Using a significance level, complementary to the confidence level used to construct the interval α: 0.1 you can decide whether or not the difference between population means are equal to zero or not.

If the interval contains the zero, then you do not reject the null hypotheses and there is no difference between the population means.

If the interval doesn't include the zero, then you reject the null hypothesis.

Thus the interval contains 0, it is possible that there is no difference in mean carbonation levels.

To know more about null Hypothesis follow

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8 x
105 is how many times as great as 8 x 10-l?
10 4
10 6
10 -4
10 -6​

Answers

Answer:

10 6

................

Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.

8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7

Find the range and the outlier(s), if any, of the data set.

Answers

Answer:

The range is 5, there are no outliers.

Step-by-step explanation:

To find the range, just subtract the smallest number from the largest number. In this case, the largest number is 10 and smallest number is 5. 10 - 5 is 5 so there's your answer!

A line has the equation 3x–4y–12=0.

What are the x- and y-intercepts of the graph of this equation?

Answers

Answer:

Step-by-step explanation:

y intercept is -3

x intercept is 4

Answer: x intercept = 4 and y intercept = -3

Step-by-step explanation:

In order to find the x intercept, set y=0 and solve the equation.

3x-4y-12=0

3x-4(0)-12=0

3x-12=0

add 12 to both sides

3x=12

divide both sides by 3

x = 4

The x intercept is 4.

To find the y intercept, set x = 0.

3x-4y-12=0

3(0)-4y-12=0

-4y-12=0

add 12 to both sides

-4y=12

divide both sides by -4

y = -3

The y intercept is -3.

Hope this helps! Have a great rest of your day :)

Three methods, A, B and C, are available for teaching a certain industrial skill. The failure rate is 15% for A, 5% for B and 10% for C. The method A is used 30%, B is used 40% and C is used 30% of the time. A worker is taught the skill by one of the methods but fails to learn it correctly. a. (10 points) What is the probability that he was taught by method A? b. (5 points) What is the probability of B given A?

Answers

Answer:

a) so the correct answer is that the probability that method A has been taught is 0.4737

b) the probability that B receives A is 0.5

Step-by-step explanation:

With the previous data we know that 3 methods teach an industrial skill and when putting into practice a worker does not learn, we have the failure rates like this:

method A fails 15%

method B fails: 5%

method C fails: 10%

usage percentages:

A: 30%

B: 40%

C: 30%

a) the probability that method A has been taught is as follows:

P (failure rate) = P (A) * P (failure rate A) + P (B) * P (failure rate B) + P (C) * P (failure rate C)

we replace the data obtaining:

P = 0.3 * 0.15 + 0.4 * 0.05 + 0.3 * 0.1 = 0.095

P ( failure rate A) = P (A) * P (failure rate A) / P (failure rate)

we replace the data obtaining:

 0.3 * 0.15 / 0.095 = 0.4737

so the correct answer is that the probability that method A has been taught is 0.4737

b) the probability that B receives A is as follows:

P (B | A) = P (B) = 0.50

Jessica bought the ingredients to make chicken soup, and wanted to make a double batch, which would be 18 cups of soup. A quick Google search told her that this was 259.9 cubic inches. She hoped the soup pot below would be big enough. The soup pot is 9 inches tall with a radius of 3.5 inches. What is the volume of the soup pot? Answer choices are rounded to the nearest tenth cubic inch. 169.6 cubic inches 890.6 cubic inches 197.9 cubic inches 346.4 cubic inches

Answers

Answer: 346.4 in^3

Step-by-step explanation:

The pot can be thinked as a cylinder:

The volume of a cylinder is equal to:

V = (pi*r^2)*h

where h is the height, r is the radius and pi = 3.1416

Here we have that: r = 3.5in, h = 9in.

Then the volume is:

V = 3.1416*(3.5in)^2*9in = 346.4in^3

Help .....................

Answers

Answer:

~ 2 kilometers in length of the actual path ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

        1       =           10,000      ⇒   x - centimeters in length of actual path

       20                    x

2. Now let us cross multiply, and solve through simple algebra for x:

10,000 * 20 = x,

x = 200,000 centimeters of the width of the item in reality

3. The answer demands in km, so let us convert 200,000 cm ⇒ km:

200,000/100,000 = 2 kilometers in length of the actual path

7y - 2y + 8 = 19 + 4y

Answers


7y - 2y + 8 = 19 + 4y

7y - 2y - 4y = 19 - 8

1y = 19 - 8

1y = 11

Ans is y = 11

Which two months experienced the earliest sunrises?

(Month one is January)

Answers

6 and 7

(june and july)

Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the 1,019 randomly chosen adults, 60% had used the Internet within the past month to obtain medical information. Use the results of this survey to create an approximate 95% confidence interval estimate for the percentage of all American adults who have used the Internet to obtain medical information in the past month.

Answers

Answer:

[tex]0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570[/tex]

[tex]0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630[/tex]

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

Step-by-step explanation:

The information given we have the following info given:

[tex] n = 1019[/tex] represent the sampel size

[tex] \hat p=0.6[/tex] represent the sample proportion of interest

The confidence level is 95%, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]

The confidence interval for the mean is given by the following formula:  

[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

Replacing the info given we got:

[tex]0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570[/tex]

[tex]0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630[/tex]

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

Jean Paul laying in his bathroom. The room measured 10 feet in length and 6 feet in width. What is the area of the bathroom.

Answers

Answer:

60 ft^2

Step-by-step explanation:

6x10

get off of the bathrrom floor jean you sicko

Answer:

6 x 10 = 60 ft.^2

(A = b h)

Step-by-step explanation:

Why is he laying on his bathroom floor/tub/whatever-

Area is base times height. (length times width, if you will)

10 x 6

      =60


A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below:
90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)
Part B: What is the probability that a student who does not like watching television also does not like reading? Explain your answer. (5 points)​

Answers

Answer:

Part A = 73.91%

Part B = 1/2 probability

Step-by-step explanation:

Part A - 90 + 20 + 80 + 40 = 230(total students)

90 + 80 = 170 students who like tv and reading

170/230 × 100 = 73.91%

Part B - 20(no read)/40(no tv) = 1/2 probability

Which fraction equals a repeating decimal?
30/50
13/25
5/30
13/10

Answers

Answer:

5/30

Step-by-step explanation:

5/30 = 1/6 =0.166666666...

The fraction equals a repeating decimal is 5/30.

What are decimals?

A decimal numeral system is the standard system for denoting integer and non-integer numbers. The way of denoting numbers in the decimal system is often referred to as decimal notation.

Now the given fractions are,

30/50

13/25

5/30

13/10

Converting them into decimals we get,

30/50 = 0.6

13/25 = 0.52

5/30 = 0.1666..

13/10 = 1.3

Thus the repeating decimal is 0.1666..

So, the fraction with repeating decimal is 5/30 = 0.1666..

Thus, the fraction equals a repeating decimal is 5/30.

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Convert the polar coordinates to rectangular form (√2,-π\4)

Answers

Answer:

(1, -1)

Step-by-step explanation:

To convert polar to rectangular coordinates, use these identities:

x = rcos(Ф)y = rsin(Ф)x² + y² = r²  

Here we were given the point [tex](\sqrt{2},-\frac{\pi}{4})[/tex] which is our (r, Ф) point

We can now plug these values into our x and y equations to convert to rectangular and find our (x, y) point

x = [tex](\sqrt{2} )cos(-\frac{\pi}{4} )= (\sqrt{2})(\frac{\sqrt{2} }{2})=\frac{2}{2}=1[/tex] y = [tex](\sqrt{2} )sin(-\frac{\pi}{4} )= (\sqrt{2})(-\frac{\sqrt{2} }{2})=-\frac{2}{2}=-1[/tex]

So our (x, y) point is (1, -1)

[tex](\sqrt{2},-\frac{\pi}{4}) = (1, -1)[/tex]

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five percent of all type A goggles are returned within 10 days after the sale, whereas only two percent of type B are returned. If a pair of goggles is returned within the first 10 days after the sale, the probability that the goggles returned are of type B is

Answers

Answer:

[tex]\dfrac{14}{29}[/tex]

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

[tex]P(A \cap E)[/tex] will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

[tex]P(B \cap E)[/tex] will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

[tex]P(E \cap A) = P(A) \times P(E/A)[/tex]

[tex]P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%[/tex]

[tex]P(E \cap B) = P(B) \times P(E/B)[/tex]

[tex]P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%[/tex]

[tex]P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%[/tex]

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

[tex]P(B/E) = \dfrac{P(E \cap B)}{P(E)}[/tex]

[tex]\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}[/tex]

So, the required probability is [tex]\dfrac{14}{29}.[/tex]

Plz help
What does “|” mean in mathematical term
Thanks

Answers

Answer:

Step-by-step explanation:

If you meant " | ", as in |x|, that's "absolute value."  The domain of this function is "all real numbers," and the range is "all real numbers zero or greater."

BRAINLIST+11 Pts!!!
Jim just found a job with a take-home pay of $950 per month. He must pay $400 for rent and $100 for groceries each month. He also spends $100 per month on transportation. If he budgets $50 each month for clothing, $100 for restaurants and $50 for everything else, how long will it take him to save $1,800?

Answers

Answer:12 months

Step-by-step explanation:

400+400=800 so  950-800=150 1800/150=12

If y= 1/4x and x = -12, find y.

Answers

Answer:

y = -3

Step-by-step explanation:

y= 1/4x and x = -12

Substitute x=12 into the first equation

y = 1/4(-12)

y = -3

Answer:

-3

Step-by-step explanation:

1/4 x -12

10% of 20% of 30% is equal to?

Answers

Answer:

The final percent would be (10/100) x (20/100) x (30/100) =  0.006 = 0.6%

Answer:3/500

Step-by-step explanation:

10% of 20% of 30%

10/100 of 20/100 of 30/100

1/10 x 1/5 x 3/10

(1x1x3)/(10x5x10)

3/500

help plz now quick if right brain list

Answers

Answer:

c= 5 yards.

Step-by-step explanation:

4*1.5=6

30/6= 5

The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm197.5 cm and a standard deviation of 8.3 cm8.3 cm. a. Find the probability that an individual distance is greater than 210.90210.90 cm. b. Find the probability that the mean for 1515 randomly selected distances is greater than 196.00 cm.196.00 cm. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

Answers

Answer:

a) 5.37% probability that an individual distance is greater than 210.9 cm

b) 75.80% probability that the mean for 15 randomly selected distances is greater than 196.00 cm.

c) Because the underlying distribution is normal. We only have to verify the sample size if the underlying population is not normal.

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 normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

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

In this question, we have that:

[tex]\mu = 197.5, \sigma = 8.3[/tex]

a. Find the probability that an individual distance is greater than 210.9 cm

This is 1 subtracted by the pvalue of Z when X = 210.9. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{210.9 - 197.5}{8.3}[/tex]

[tex]Z = 1.61[/tex]

[tex]Z = 1.61[/tex] has a pvalue of 0.9463.

1 - 0.9463 = 0.0537

5.37% probability that an individual distance is greater than 210.9 cm.

b. Find the probability that the mean for 15 randomly selected distances is greater than 196.00 cm.

Now [tex]n = 15, s = \frac{8.3}{\sqrt{15}} = 2.14[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 196. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{196 - 197.5}{2.14}[/tex]

[tex]Z = -0.7[/tex]

[tex]Z = -0.7[/tex] has a pvalue of 0.2420.

1 - 0.2420 = 0.7580

75.80% probability that the mean for 15 randomly selected distances is greater than 196.00 cm.

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The underlying distribution(overhead reach distances of adult females) is normal, which means that the sample size requirement(being at least 30) does not apply.

Create an equation for the graph Above,Answer should be in y=kx or
y=x+b*
Your answer

Answers

Answer:

y=2x

Step-by-step explanation:

Every one x is two y.

Angle of rotation :(((

Answers

Answer:

144

Step-by-step explanation:

360/5 x 2  = 144

Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm.

Answers

Answer:1017.36 cm^3

Step-by-step explanation:

Diameter=18cm

Radius=r=18/2=9cm

Height=h=12cm

Volume of cone=1/3 x π x r^2 x h

Volume of cone=1/3 x 3.14 x 9^2 x 12

Volume of cone=1/3 3.14 x 9 x 9 x 12

Volume =(1x3.14x9x9x12) ➗ 3

Volume =3052.08 ➗ 3

Volume =1017.36

Volume of cone=1017.36 cm^3

What is the coefficient in yhe expression 10x+8

Answers

Answer: The coefficient would be 10x
Explanation: the coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

Answer:

It is x

Step-by-step explanation:

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