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Phoenix [80]
3 years ago
7

What is the value of x, given that OP II NQ?

Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Answer:

Option C. x = 12

Step-by-step explanation:

we have that

Traingles MOP and MNQ are similar

therefore

The ratio of its corresponding sides is proportional

\frac{MO}{MN}=\frac{MP}{MQ}

substitute the values

\frac{21+7}{21}=\frac{36+x}{36}

28*36=21*(36+x)\\ \\1,008=756+21x\\ \\21x=252\\ \\x=12\ units

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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
Anybody know this question?
sattari [20]
The answer would be C. Mike can drive at the most 500 miles.
$200 - the rent for the week ($125)= $75
$75/($.15) the money per mile
500 miles.
Hope This Helps!
~Cupkake
3 0
3 years ago
Rafael counted a total of 40 white cars and yellow cars there are nine times as many white cars as yellow cars how many white ca
natta225 [31]
The answer probably 16 I don't really know
5 0
3 years ago
Find the value of x so that (x,-4) is on the line given by -2x + 3y = 6.
lord [1]

Answer:

Step-by-step explanation:

-2x + 3y = 6.....(x, -4)...so y = -4

-2x + 3(-4) = 6

-2x - 12 = 6

-2x = 6 + 12

-2x = 18

x = -18/2

x = -9

so the value of x is -9.....(-9,-4)

6 0
3 years ago
Which of the following is not an undefined term?
olganol [36]
Which of what following? Is it suppose to be multiple choice?
4 0
3 years ago
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