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GalinKa [24]
3 years ago
13

The expression -5p + 20 factored is factor out the coefficient of the variable

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer: -5(p-4)

Step-by-step explanation: The coefficient of a variable is the number multiplying it. To factor it, take the coefficient out and put it outside the parantheses. However, if you do that, make sure you take that coefficient out of all of your other terms!

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You need 1 1/4 cup of sugar to make 20 cookies to make 12 cookies how much sugar do you need​
solniwko [45]
3/4 bc 1 1/4 divided by 20 is 1/16. 1/16 times 12 is 3/4
5 0
2 years ago
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
2 years ago
Without overlapping, how many college basketball courts 94ft x 50ft would fit into a football field 360ft x 160ft?
Volgvan
Area of basketball court: 94 x 50 = 4700 square feet

area of football field: 360 x 160 = 57600 square feet

57600 / 4700 = 12.26

so 12 basketball courts 
7 0
3 years ago
What is the answer here and explain why.
Mama L [17]

Answer:

x = 8

Step-by-step explanation:

Given

- 4(- x + 8) = 0

- 4≠ 0, so

- x + 8 = 0 ( subtract 8 from both sides )

- x = - 8 ( multiply both sides by - 1 )

x = 8

4 0
2 years ago
Read 2 more answers
Find he measure of xi<br> 5x-2<br> H
Aleks [24]
I think it’s-10. Hope it’s right.
5 0
3 years ago
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