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ddd [48]
3 years ago
13

The answer of this question in the picture

Mathematics
2 answers:
Arturiano [62]3 years ago
7 0

Answer:

ooooh he cheatingg

Step-by-step explanation:

answer is on the paper isnt it lool?

maks197457 [2]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Note that

sin60° = \frac{\sqrt{3} }{2}, cos60° = \frac{1}{2}

Using trig. ratios in the right triangle

sin60° = \frac{opp}{hyp} = \frac{x}{18} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 18\sqrt{3} ( divide both sides by 2)

x = \frac{18\sqrt{3} }{2} = 9\sqrt{3}

-----------------------------------------------------------------------------

cos60° = \frac{adj}{hyp} = \frac{y}{18} = \frac{1}{2} ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

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Answer:

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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 problem, we have that:

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What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile

This is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

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

1.28 = \frac{X - 125}{24}

X - 125 = 1.28*24

X = 155.72

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