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3 years ago

Find the value of the variable if P is between J & K.

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

Answer:

Step-by-step explanation:

well you see I just guessed :D

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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 280 engines

DENIUS [597]

Answer:

The value of the test statistic is $t = -2.09$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 6.6$

The alternate hypotesis is:

$H_{1} \neq 6.6$

Our test statistic is:

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

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

In this problem, we have that:

$X = 6.5, \mu = 6.6, \sigma = \sqrt{0.64} = 0.8, n = 280$

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

$t = \frac{6.5 - 6.6}{\frac{0.8}{\sqrt{280}}}$

$t = -2.09$

The value of the test statistic is $t = -2.09$

4 0

3 years ago

Here are two rectangles.

Sophie [7]

Answer:

$AB=9.5\ cm$

Step-by-step explanation:

step 1

Find the length side PQ

we know that

The area of rectangle PQRS is given by

$A=(PQ)(QR)$

$A=66\ cm^2$

$66=(PQ)(QR)$

substitute the value of QR

$66=(PQ)(12)$

solve for PQ

$PQ=66/12\\PQ=5.5\ cm$

step 2

Find the length side AB

we know that

The perimeter of rectangle ABCD is given by

$P=2(AB+BC)$

we have

$P=30\ cm\\BC=PQ=5.5\ cm$

substitute

$30=2(AB+5.5)$

solve for AB

$15=AB+5.5\\AB=15-5.5\\AB=9.5\ cm$

6 0

2 years ago

Snowcat [4.5K]

Answer:

Step-by-step explanation:

AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.

7 0

2 years ago

Solve by factoring. m^2+8m+7=0 A. 8,7 B. -7,1 C. -7,-1 D. 7,1

REY [17]

The answer is c, -1 or -7

Hope this helped :)

5 0

3 years ago

r=35.7+1.37t The equation above relates the urbanization rate r, as a percent, in a particular country to the number of years t

Lubov Fominskaja [6]

Answer: 37.07

because 35.7+1.37 is 37.07

5 0

2 years ago