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3 years ago

Solve these problems please converting fractions to decimals1/6 = 2/11 =

Mathematics

1 answer:

Arada [10]3 years ago

5 0

Try to use long division! To calculate a fraction as a decimal, you can act like the slash is a division symbol.

So, to calculate 1/6 as a decimal, divide 1 by 6 on a sheet of paper (or a calculator) and you’ll find out what it is.

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Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production grou

krok68 [10]

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: $H_0: \mu = 12$

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

$H_a: \mu \neq 12$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that $\mu = 12$

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that $n = 15, X = 12.05, \sigma = 0.08$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}$

$z = 2.42$

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

6 0

2 years ago

bearhunter [10]

Answer:

38 women

Step-by-step explanation:

Question 9 (1 point)

In the middle school PTA there is a total of 47 men and women. The number of women the PTA is 2 more than four times the number of men. How many women are in the

PTA?

Let the number of men = x

Let the number of women = y

x + y = 47

y = 2 + 4x

We substitute

x + 2 + 4x = 47

Collect like terms

5x = 47 - 2

5x = 45

x = 45/5 = 9

y = 2 + 4x

y = 2 + 4 × 9

y = 2 + 36

y = 38

Therefore, the number of women = y = 38 women

5 0

2 years ago

According to chebyshev's theorem, the maximum proportion of data values from a data set that are more than 2 standard deviations

vodka [1.7K]

<span>All you have to do is learn Chebyshev's theorem in terms of k, then substitute 2 for k. Here is Chebyshev's theorem in terms of k: According to Chebyshev's theorem, the proportion of values from a data set that is further than standard deviations from the mean is at most . Then when you plug in 2 for k, you get: According to Chebyshev's theorem, the proportion of values from a data set that is further than standard deviations from the mean is at most . or writing for , According to Chebyshev's theorem, the proportion of values from a data set that is further than standard deviations from the mean is at most . Or if you prefer a decimal answer: According to Chebyshev's theorem, the proportion of values from a data set that is further than standard deviations from the mean is at most . Or if you prefer a percent answer: According to Chebyshev's theorem, the proportion of values from a data set that is further than standard deviations from the mean is at most %. </span>

5 0

2 years ago

A rectangular painting measures 11 inches by 15 inches and contains a frame of uniform width around the four edges. The perimete

HACTEHA [7]

The width would have to be 15 because the perimeter is 60 inches then you divide it by 4 and ill give you 15

5 0

2 years ago

Please help with this geometry question too.

musickatia [10]

Answer:

V = 1250π/3 mm³

V = 1309 mm³

Step-by-step explanation:

The composite figure is made up of a cylinder with radius 5 mm and two hemispheres of radius 5 mm. The height of the cylinder is

20 mm - 5 mm - 5 mm = 10 mm

The two hemispheres make up a full sphere of radius 5 mm.

V = πr²h + (4/3)πr³

V = π(5 mm)²(10 mm) + (4/3)π(5 mm)³

V = [(25 mm²)(10 mm) + (4/3)(125 mm)³]π

V = [250 mm³ + 500/3 mm³]π

V = 1250π/3 mm³

V = 1309 mm³

3 0

3 years ago