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elena-s [515]
3 years ago
12

Two sides of a triangle have measures of 6 inches and 12 inches. Which measure could be the length of the third side?

Mathematics
1 answer:
kondaur [170]3 years ago
3 0

Answer: Yes an isosceles triangle has at least two sides that have equal measures.

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A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mea
uysha [10]

Answer:

The 90th percentile for the distribution of the total contributions is $6,342,525.

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}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums of size n, the mean is \mu*n and the standard deviation is s = \sqrt{n}*\sigma

In this question:

n = 2025, \mu = 3125*2025 = 6328125, \sigma = \sqrt{2025}*250 = 11250

The 90th percentile for the distribution of the total contributions

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

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

By the Central Limit Theorem

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

1.28 = \frac{X - 6328125}{11250}

X - 6328125 = 1.28*11250

X = 6342525

The 90th percentile for the distribution of the total contributions is $6,342,525.

3 0
3 years ago
What is the domain of the function?
Nostrana [21]

Answer:

option c........... .

6 0
2 years ago
Help me I need an answer today!!!!!!!
krek1111 [17]
The rate of change is 25 because it goes 25 50 75 100 think of it like quarters
4 0
2 years ago
10 push-ups in 2 days= ?
bekas [8.4K]

Answer:

10 pushups?

or 20 if you do 10 pushups per day.

that would be an extra 24 calories burned (12 each day), depending on how fit you are, and not nearly enough pushups to be of any help to your physical health.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
HELP PLZ AGAIN. Same material. It is still timed. Will give 50 pts and brainly. This is vital to my math grade. Time is on the e
Sliva [168]

Answer:

slope-intercept form: y = x+2

The slope is 1

y-interspet is -2

Step-by-step explanation:

hope it helps

7 0
3 years ago
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