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ki77a [65]
3 years ago
9

I’ll mark brainlest:( i need help!

Mathematics
1 answer:
enyata [817]3 years ago
7 0

Answer: Choice A)  3 \sqrt{26}

==================================================

Work Shown:

\text{The two points are } (x_1,y_1) = (6,7) \text{ and }  (x_2,y_2) = (3,-8)\\\\d = \text{Distance between } (x_1,y_1) \text{ and } (x_2,y_2)\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} = \text{Distance Formula}\\\\d = \sqrt{(6-3)^2+(7-(-8))^2}\\\\d = \sqrt{(6-3)^2+(7+8)^2}\\\\

d = \sqrt{(3)^2+(15)^2}\\\\d = \sqrt{9+225}\\\\d = \sqrt{234}\\\\d = \sqrt{9*26}\\\\d = \sqrt{9}*\sqrt{26}\\\\d = 3\sqrt{26}\\\\

When going from 234 to 9*26, the idea here is to factor where one factor is the largest perfect square possible. That way we can use the rule \sqrt{x*y} = \sqrt{x}*\sqrt{y} to break up the root and simplify.

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Answer:

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3 years ago
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Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

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Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

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z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.

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2 years ago
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Need help with this. ASAP!!
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The first choice is correct trust meh. Have a nice day/night !

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