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2 years ago

Eighth grade ) T.5 Pythagorean theorem: word problems 87U

Mathematics

1 answer:

Komok [63]2 years ago

7 0

Answer:

The tree is 12 feet tall

Step-by-step explanation:

Let a represent the length of where the bird was sitting to the oak tree

let b represent the height of the tree

let c represent the length at which the bird flew

by pythagoras theorem

c²=a²+b²

b²=c²-a²

$b = \sqrt{ {c}^{2} - {a}^{2} }$

subtitute in the values

$b = \sqrt{ {15}^{2} - {9}^{2} }$

$b = \sqrt{225 - 81}$

$b = \sqrt{144}$

$b = 12$

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First, 126/32 so divide top and bottom by 2

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answer

a = 16
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2 years ago

Write a number of your choice, using the following clues:

guapka [62]

Answer:

Step-by-step explanation:

90÷2= 45

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2 years ago

Read 2 more answers

Dog food costs 9$ per bag and cat food costs 8$ per bag. if billy spent 89$ and purchased 6 bags of dog food, how many bags of c

REY [17]

6 bags of dog food × $9 = 54
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$35 / $8 = 4.375, but you can't have decimals for cat food bags so round down.

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3 years ago

The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4. Suppose 64 golfers play

Vilka [71]

Answer:

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .