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3 years ago

Mary and Benjamin are driving to their friend Paar's house for a berday party Mary drives 9

Mathematics

1 answer:

SpyIntel [72]3 years ago

6 0

Answer:

3.2 miles

Step-by-step explanation:

Given that Mary drives 9 miles north and 6 miles east to get there, the resultant miles will be achieved by using pythagorean theorem

R = sqrt ( 9^2 + 6^2 )

R = sqrt ( 81 + 36 )

R = sqrt ( 117 )

R = 10.82 miles

while Ben drives 3 miles south and 7 miles west

Use the same pythagorean theorem to find the resultant displacement

R = sqrt ( 3^2 + 7^2 )

R = sqrt ( 9 + 49 )

R = sqrt ( 58 )

R = 7.62 miles

The difference in miles to where Mary and Benjamin live will be difference in the resultant displacement of the two

Difference = 10.82 - 7.62 = 3.2 miles.

Therefore, Mary live 3.2 miles from Benjamin.

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At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician

Serhud [2]

Answer:

The value of the test statistic is $t = 1.97$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 250$

The alternate hypotesis is:

$H_{1} \neq 250$

Our test statistic is:

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

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

In this problem:

$X = 251.6, \mu = 250, \sigma = 5.4, n = 44$

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

$t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}$

$t = 1.97$

The value of the test statistic is $t = 1.97$

4 0

3 years ago

Which graph can be used to find the solution(s) to 4x=-4x?

Elden [556K]

<h2>Answer:</h2>

The graph is shown in the Figure below

<h2>Step-by-step explanation:</h2>

In this exercise, we have an equation. On the left side we have a straight line with slope $m=4$ and there is no any y-intercept. On the right side, on the other had, we also have a straight line, but the slope here is $m=-4$ . Therefore, by plotting these two straight lines, we have that the solution is the origin, that is, the point $(0, 0)$ .