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Dimas [21]
3 years ago
5

Which property justifies the fact that 5(x - 2) is equivalent to 5x - 10

Mathematics
1 answer:
Misha Larkins [42]3 years ago
3 0
I believe it is the distributive property.
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For what value does x does 3^2x= g^3x-4<br> A)1<br> B)2<br> C)3<br> D)4
netineya [11]
The question has an error because the letter g does not make sense in the context.

I will assume that the g is really the number 9.

In that case, the equation to solve would be:

3^{2x} =  9^{3x-4}

You can solve for x following these steps:

1) make      9=3^2

=>

3^{2x} = 3^{2(3x-4)}

2) Given that the basis are equal the exponents have to be equal =>

2x = 2(3x - 4)

3) Solve:

2x = 6x - 8

6x - 2x = 8

4x = 8

x = 8/4

x = 2 which is the option B) which leads me to think that a 9 instead of g in the equation should be right.

Under that assumption, the answer is the option B) x = 2.

3 0
3 years ago
3/5 divided by 3 equals?
kaheart [24]
0.200000000000000000
6 0
3 years ago
A=1/2(2x6)x4 i need helppp !!
Nostrana [21]

Answer:

A=24

Step-by-step explanation:

First, we do the equations in the brackets(2x6) which is 12.

Before that, there is a 1/2 which means dividing whatever is inside the brackets by 2 which then becomes 6.

Then we x4 so the answer is 24.

7 0
2 years ago
Read 2 more answers
Find the median, mean, and range.
11Alexandr11 [23.1K]
Mean:
21.14

Median:
12

Range:
3

7 0
3 years ago
Read 2 more answers
Suppose 45% of the population has a college degree.
levacccp [35]

Using the normal distribution, there is a 0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}, as long as np \geq 10 and n(1 - p) \geq 10.

The proportion estimate and the sample size are given as follows:

p = 0.45, n = 437.

Hence the mean and the standard error are:

  • \mu = p = 0.45
  • s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.45(0.55)}{437}} = 0.0238

The probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3% is <u>2 multiplied by the p-value of Z when X = 0.45 - 0.03 = 0.42</u>.

Hence:

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

By the Central Limit Theorem:

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

Z = (0.42 - 0.45)/0.0238

Z = -1.26

Z = -1.26 has a p-value of 0.1038.

2 x 0.1038 = 0.2076.

0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

More can be learned about the normal distribution at brainly.com/question/28159597

#SPJ1

8 0
1 year ago
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