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lukranit [14]
3 years ago
11

4(x-2+y) what is this for the distributive property​

Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

4x + 4y - 8

Step-by-step explanation:

4(x - 2 +y) = 4*x -4*2 + 4*y by the distributive property

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Let the random variable x be equally likely to assume any of the values 1/10, 1/5, or 3/10. determine the mean and variance of x
Keith_Richards [23]
Since the values are equally likely and equally spaced, their mean is the middle one.
  the mean is 1/5

The variance is the average of the square of the deviations from the mean.
  σ² = (1/3)((-1/10)² + 0² + (1/10)²) = 2/300
  the variance is 2/300
6 0
3 years ago
How many time can 4 go in to 3​
vfiekz [6]

Answer:

0.75 times.

Step-by-step explanation:

Hope i helped and can i pls have brainliest.

3 0
3 years ago
Select the expression that shows the value of the digits in the number below. (2 points) Four hundred and seventy-three thousand
Mumz [18]

Answer:

4 - Tenth

7 - Hundredth

3 - Thousandth

Step-by-step explanation:

The options are not clear.

However, the question is still solvable.

Given

Four hundred and seventy-three thousandths

Required

Determine the value of each digits

We start by representing as a number.

Represent this with x

x = Four hundred and seventy-three thousandths

x = \frac{473}{1000}

x = 0.473

The digits are: 4, 7 and 3

And they represent:

4 - Tenth

7 - Hundredth

3 - Thousandth

6 0
3 years ago
The countries of Europe report that 46% of the labor force is female. The United Nations wonders if the percentage of females in
Anestetic [448]

Answer:

a) Point estimate p=0.43.

b) The 95% confidence interval for the population proportion of female workers in US is (0.388, 0.473).

c) This confidence interval tells us that, with 95% confidence, the true proportion of females in the U.S. labor force is within 0.388 and 0.473.

d) We can conclude that females do not make up a majority of the US labor force, because we can claim, with 95% confidence, that the true proportion of female workers is under 0.473, which is below 0.5 (or 50%).

Step-by-step explanation:

a) A point estimate can be calculated using the sample results and dividing the amount of female workers in the sample by the sample size:

p=X/n=226/525=0.43

b) We have to calculate a 95% confidence interval for the proportion.

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.43*0.57}{525}}\\\\\\ \sigma_p=\sqrt{0.000467}=0.022

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.022=0.042

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.4305-0.042=0.388\\\\UL=p+z \cdot \sigma_p = 0.4305+0.042=0.473

The 95% confidence interval for the population proportion of female workers in US is (0.388, 0.473).

c) This confidence interval tells us that, with 95% confidence, the true proportion of females in the U.S. labor force is within 0.388 and 0.473.

d) We can conclude that females do not make up a majority of the US labor force, because we can claim, with 95% confidence, that the true proportion of female workers is under 0.473, which is below the 50%.

If the confidence interval have included the value 0.5, we could not be sure (with 95% confidence) that female workers do not represent de majority, as there would be possibility that the true proportion is 0.5.

3 0
4 years ago
The diagonal of a square is 14 m, what is the perimeter
Olin [163]
The diagonal of a square is obtained by using Pythagorean theorem. Letting x be the side of the square, 
                                       x² + x² = 14²
Solving x from the equation gives x a value of approximately 9.899 m. The perimeter of a square is four times the length of its side. Thus, the perimeter of the square is approximately 39.60 meters. 
6 0
3 years ago
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