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3 years ago

10x−25y Factor the expression using the GCF

Mathematics

1 answer:

denis23 [38]3 years ago

5 0

Answer: 2x-5y

Step-by-step explanation:

The common term in this expression (GCF) is 5. When you take out the 5, you get 2x-5y. This is the answer.

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A graph of what has space between possible data values

MakcuM [25]

Answer:

A discrete graph is a graph that is composed of distinct isolated points. A discrete graph has space between possible data values

Step-by-step explanation:

i hope this helps :)

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4 years ago

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Elza [17]

Answer:

The angle of X is 60

Step-by-step explanation:

In the smaller one it shows 150 and 60 for your answer, the angles are the same, just bigger, therefore 150 is not needed and 60 is the answer, thank you love u

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2 years ago

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Suppose 46% of politicians are lawyers. If a random sample of size 662 is selected, what is the probability that the proportion

Svet_ta [14]

Answer:

0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%

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 normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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 a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Suppose 46% of politicians are lawyers.

This means that $p = 0.46$

Sample of size 662

This means that $n = 662$

Mean and standard deviation:

$\mu = p = 0.46$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{662}} = 0.0194$

What is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%?

p-value of Z when X = 0.46 + 0.04 = 0.5 subtracted by the p-value of Z when X = 0.46 - 0.04 = 0.42. So

X = 0.5

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

By the Central Limit Theorem

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

$Z = \frac{0.5 - 0.46}{0.0194}$

$Z = 2.06$

$Z = 2.06$ has a p-value of 0.9803

X = 0.42

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

$Z = \frac{0.42 - 0.46}{0.0194}$

$Z = -2.06$

$Z = -2.06$ has a p-value of 0.0197

0.9803 - 0.0197 = 0.9606

0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%

8 0

3 years ago

Merit verification 1+1+1+1=R 2+2+2+2=T 3+3+3+3=E 4+4+4+4=N 5+5+5+5=?

AysviL [449]

Answer: ?=Y
Explanation: The letter represents the last letter of the total. For example, 1+1+1+1= 4 (fouR), 3+3+3+3=12(twelvE), therefore 5+5+5+5=20(twentY)

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3 years ago

Select the graph that matches the equation. x + y = 1

snow_lady [41]

This graph is the correct one

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3 years ago

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