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3 years ago

Pat and Julie share some money in the ratio 2 : 5

Mathematics

1 answer:

Hitman42 [59]3 years ago

6 0

Answer:

22.50

Step-by-step explanation:

the ratio is 2:5 so if julie got 45 then pat would get half of what julie got

45 divided by 2

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A basketball coach kept stats for his team in free throw percentage and steals (among others). At the last game, Erin's free thr

Setler79 [48]

Answer:

Due to the higher z-score, she did better in the free throw category.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

She did better in the category that she had the higher z-score:

Free-throws:

Her free throw percentage was 79%, which means that $X = 79$

The team averaged 87% from the free throw line with a standard deviation of 12, which means that $\mu = 87, \sigma = 12$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{79 - 87}{12}$

$Z = -0.67$

Steals:

She had 4 steals, which means that $X = 4$

Averaged 7 steals with a standard deviation of 3, which means that $\mu = 7, \sigma = 3$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{4 - 7}{3}$

$Z = -1$

Due to the higher z-score, she did better in the free throw category.

6 0

3 years ago

Plssss help meeeee!!!!!!!!!!!!!!!!!!!

igomit [66]

Answer:

b = -30

Step-by-step explanation:

-b/5 - 27 = -21

~Add 27 to both sides

-1/5b = 6

~Multiply -5 to both sides

b = -30

Best of Luck!

8 0

3 years ago

-1^{2008} + (-1)^{2007} = ? (1 - (-1)^[11])^[2] = ? Questions for fun~

vladimir2022 [97]

1. -2
2. 4
Is the answers to the following questions

7 0

3 years ago

Determine the value of each expression. i11=

Basile [38]

Answer:

11 * I

Unless you can tell me what I is equal to, I can't give you a number as an answer. Just take what ever I is equal to, an multiply it by 11. If the answer choices are equations rather than numbers, than just say 11 * 1.

If the question comes with any more information, please comment so I can give you a stronger answer.

Hope this helps! :)

-Sophia

7 0

3 years ago

Which characteristics will prove that ΔDEF is an acute, isosceles triangle?

ololo11 [35]

Answer:

a. segment DE and segment EF are congruent to each other but not to segment DF, and their slopes are not related.

Step-by-step explanation:

In order for a triangle to be isosceles, two of the line segments must be congruent. (eliminates choices C and D)

If the slopes of the congruent segments are negative reciprocals of each other, the triangle is a right triangle, not an acute triangle. (eliminates choice B)

With choices B, C, D eliminated, we are left with choice A.

However, that necessary description is not sufficient to constrain the triangle to be an acute triangle. In order for the triangle to be acute, the third side must be less than √2 times the length of either of the congruent sides.

The correct answer is "none of the above."

3 0

3 years ago