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3 years ago

Please fill in the blank

Mathematics

1 answer:

Jobisdone [24]3 years ago

8 0

So 2 to the 3rd power is 8 and 2 to the -3 power would be negative 8.Now u multiply 8 and negative 8 and u get -64.So 2 to the to the -32 power should be the answer.hope this can help u!

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15. Which table correctly lists the x- and y-values for the equation 5x + y = 14?

Natalija [7]

Answer:

Step-by-step explanation:

Given

5x + y = 14 ( subtract 5x from both sides )

y = 14 - 5x

Substituting values of x into the right side allows the corresponding value of y to be found.

x = - 1 : y = 14 - 5( - 1) = 14 + 5 = 19

x = 0 : y = 14 - 5(0) = 14 - 0 = 14

x = 1 : y = 14 - 5(1) = 14 - 5 = 9

Hence the corresponding values of x and y are

x y

- 1 19

0 14

1 9

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3 years ago

7 yd equals how many m

JulijaS [17]

The answer is 6.4008 meters or rounded is 6.4

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3 years ago

All of the following solid figures except _____ have two congruent, parallel bases.

12345 [234]

The only example that does not have parallel congruent bases is the rectangular pyramid. The reason is that all pyramids are formed from a base and then all lateral faces are triangles meeting at one point on the top of the pyramid.

5 0

4 years ago

An appliance store decreases the price of a 19-In television set 27% to a sale price of $471.58. What was the original price?

umka21 [38]

This means that $471.58 is equal to 100-27= 73% of the original price. We are trying to find 100%

$471.58/73= x/100

Cross multiplication method:
471.58*100= 47158
47158/73= $646=x

Final answer: $646.00

8 0

4 years ago

A publisher reports that 75% of their readers own a particular make of car. A marketing executive wants to test the claim that t

Korolek [52]

Answer:

The p-value of the test is of 0.0536 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the executive's claim.

Step-by-step explanation:

A publisher reports that 75% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.

At the null hypothesis, we test if the proportion is of 75%, that is:

$H_0: p = 0.75$

At the alternate hypothesis, we test if the proportion is different of 75%, that is:

$H_1: p \neq 0.75$

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.

75% is tested at the null hypothesis:

This means that $\mu = 0.75, \sigma = \sqrt{0.75*0.25}$

A random sample of 280 found that 70% of the readers owned a particular make of car.

This means that $n = 280, X = 0.7$

Value of the test statistic:

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

$z = \frac{0.7 - 0.75}{\frac{\sqrt{0.75*0.25}}{\sqrt{280}}}$

$z = -1.93$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion differing from 0.75 by at least |0.7 - 0.75| = 0.05, which is P(|z| > 1.93), which is 2 multiplied by the p-value of z = -1.93.

Looking at the z-table, z = -1.93 has a p-value of 0.0268.

2*0.0268 = 0.0536.

The p-value of the test is of 0.0536 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the executive's claim.

5 0

3 years ago