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aksik [14]
3 years ago
14

Question 7 please????

Mathematics
2 answers:
Ahat [919]3 years ago
7 0

Answer:

I think it would be 17 because if you subtract 47 by 13 it will give you 34 and if you divide it by 2 it will give you 17.

Make me brainliest

Andreyy893 years ago
7 0

Answer:

The length of longer piece is 30 inches.

Step-by-step explanation:

Firstly, you have to make an expression in terms of x where x represents the length of the <u>s</u><u>h</u><u>o</u><u>r</u><u>t</u><u>e</u><u>r</u><u> </u><u>p</u><u>i</u><u>e</u><u>c</u><u>e</u> . Given that the total length is 47 inches and the longer piece is 13 inches longer that the shorter one. Using this information, you can form an expression :

Shorter piece =>

x inches

Longer piece =>

(13 + x) inches

Total length =>

x + 13 + x = 47

2x + 13 = 47

now, you can solve to find the value of x by substracting 13 to both sides then divide it by 2:

2x + 13 - 13 = 47 - 13

2x = 34

2x ÷ 2 = 34 ÷ 2

x = 17 inches

We have found the shorter piece. The question wants to find the longer piece so you have to substitute the value of x into the expression of longer piece :

Let x be 17 inches,

13 + x = 13 + 17

= 30 inches

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Answer:

z = -1.53 --- test statistic

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Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

n_1 = 80     \bar x_1= 104   \sigma_1 = 8.4

n_2 = 70    \bar x_2 = 106    \sigma_2 = 7.6

H_o: \mu_1 - \mu_2 = 0 --- Null hypothesis

H_a: \mu_1 - \mu_2 \ne 0 ---- Alternate hypothesis

\alpha = 0.05

Solving (a): The test statistic

This is calculated as:

z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}

So, we have:

z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}

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This is calculated as:

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p = 2 * P(Z < -1.53)

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