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3 years ago

The product of two numbers is −72. One of the factors is −9, what is the other factor?

Mathematics

2 answers:

frez [133]3 years ago

4 0

The other factor is eight because 9 multiplied by eight is 72 and a negative times a positive is a negative

VikaD [51]3 years ago

4 0

Answer: The other factor is 8.

Step-by-step explanation: Given that the product of two numbers is −72 and one of the factors is −9.

We are to find the other factor.

Let the other factor be represented by f.

Then, according to the given information, we have

$(-9)\times f=-72\\\\\Rightarrow f=\dfrac{-72}{-9}\\\\\Rightarrow f=8.$

Thus, the other factor is 8.

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50%

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2 years ago

Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of

zhannawk [14.2K]

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

$H_{0}: p = 0.29$

We want to test the hypothesis that this is true, so the alternate hypothesis is:

$H_{a}: p \neq 0.29$

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.

0.29 is tested at the null hypothesis:

This means that $\mu = 0.29, \sigma = \sqrt{0.29*0.71}$

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that $n = 100, X = 0.21$

Value of the test statistic:

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

$z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}$

$z = -1.76$

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

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3 years ago

How can you put 32.3 as a mixed number in the simplest form

ludmilkaskok [199]

32.3 is a decimal number in which 3 is the digit at the tenth place.

Mixed number contains a whole number and a fraction part.

32.3 expressed as mixed fraction is $32\frac{3}{10}$ , here 32 is the whole number and $\frac{3}{10}$ is the fraction part.

$\frac{3}{10}$ is the fraction in the simplest form.

For this reason, 32.3 expressed as a mixed number in the simplest form is $32\frac{3}{10}$ .

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3 years ago

Find the value of f(-7)

Reika [66]

Answer:

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Step-by-step explanation:

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3 years ago

Find the missing side

Wittaler [7]

Answer:

See below

Step-by-step explanation:

Remember SOHCAHTOA

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case we use TOA.

tan(71) = x/34

x = tan(71) * 34

x = 98.7

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2 years ago