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Blababa [14]
3 years ago
7

For each system of equations, drag the true statement about its solution set to

Mathematics
1 answer:
Bess [88]3 years ago
7 0
The first one is zero solution because 6x+3 will never be 6x-3 and the second one is one soupy toon because 6x+3=2x+1 equals one solution
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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 value of x?
Nata [24]

Answer:

8

Step-by-step explanation:

hypotenuse^2= leg^2 + leg^2

10^2= 6^2 + x^2

100= 36 + x^2

100-36= x^2

64= x^2

√64=√x^2

8= x

7 0
3 years ago
Compare the mean of the population with the mean of a sample.
Veseljchak [2.6K]

Answer:1:4

2:3.25

3:0.75

8 0
3 years ago
Read 2 more answers
Find the distance between the points (-3, 11) and (5, 5).<br><br> 10<br><br> 2<br><br> 2
Masja [62]
The correct answer is 10
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3 years ago
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If RT is greater than BA, which correctly compares c and s
Fofino [41]

Answer:


Step-by-step explanation:

The answer is B

By the converse of the hinge theorem, mC = mS. FALSE. EITHER ANGLE IS LARGER THAN THE OTHER

By the hinge theorem,TS > AC.  FALSE. CONGRUENT SIDES BASED ON THE GIVEN IMAGE.

By the converse of the hinge theorem, mS > mC.the statement that is true

By the hinge theorem, BA = RT. FALSE. 3RD SIDE OF EITHER TRIANGLE WILL BE LONGER THAN THE OTHER.


3 0
3 years ago
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