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Dovator [93]
2 years ago
7

Rewrite the fraction 7/8 to the -1 power without the exponent (7/8 to the negative 1 power

Mathematics
2 answers:
olga_2 [115]2 years ago
6 0

Answer:

Step-by-step explanation:

(7/8) to the  negative power is 8/7

stellarik [79]2 years ago
4 0

Answer:

The answer is 8/7

Step-by-step explanation:

(7/8 to the negative 1 power is 8/7)

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Set up the equation 3x+1= 4x-7 and you’ll get your answer
4 0
2 years ago
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A triangle has an area of 54 square inches the height of the triangle is 12 inches what is the length of the base of the triangl
prohojiy [21]

Answer:

<em>The base of the triangle = 9inches</em>

Step-by-step explanation:

<u>Explanation</u>:-

The area of the triangle = \frac{1}{2} bh square units

Given area of the triangle(A) = 54 square inches

Given the height of the triangle (h) = 12 inches

now  equating     \frac{1}{2}  b h = 54

                          \frac{1}{2}  b (12)  = 54

now simplification, we get

                           6 b = 54

Dividing '6' on both sides, we get

                             b = 9

The base of the triangle = 9 inches

<u>Conclusion</u>:-

<em>The base of the triangle = 9 inches</em>

6 0
3 years ago
On a number line, what is the distance between -9 and -5?
Makovka662 [10]

Answer:

The distance on a number line between -9 and -5 would be 4. This is kinda easy.

Step-by-step explanation:

4 0
3 years ago
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Answer:

A

Step-by-step explanation:

3 0
2 years ago
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A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life
alisha [4.7K]

Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

H_0: \mu \leq 10

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

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

10 is tested at the null hypothesis:

This means that \mu = 10

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that n = 45, X = 10.5, s = 1.8

Then

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}

t = 1.86

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0
2 years ago
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