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3 years ago

Use the distributive property to find out 16(38). Please show work.

Mathematics

1 answer:

Grace [21]3 years ago

5 0

Answer:

Hello : Use the distributive property

16(38) = 16 ( 30 + 8 ) =(16×30) +(16×8) = 480 +128 = 608

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Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much o

emmainna [20.7K]

Answer:

The 95% confidence interval $81.852 < \mu < 280.098$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 180.975$

The standard deviation is $\sigma = 143.042$

The sample size is n = 8

Given that the confidence level is 95% then the level of significance is

$\alpha =( 100- 95) \%$

=> $\alpha =0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96 * \frac{ 143.042 }{\sqrt{8} }$

=> $E = 99.123$

Generally 95% confidence interval is mathematically represented as

$\= x -E < \mu < \=x +E$

=> $180.975 -99.123 < p < 180.975 +99.123$

=> $81.852 < \mu < 280.098$

5 0

3 years ago

Eduardo is painting a rectangular wall that is 96 inches high and 110 inches long. What is the area of the wall?

EastWind [94]

<h3>Required Answer:-</h3>

Here the height and length are the sides of the rectangular wall and we have to find the area.

Area of rectangle is given by:

$= l \times b$

where l is the length and b is the breadth/width according to the question. Plugging the given values:

$= 110 \times 96 \: {inch}^{2}$

$= 10560 \: {inch}^{2}$

<h3>Hence:-</h3>

The area of the wall is 10560 inch²

8 0

4 years ago

Youre purchasing a new television with a 32" screen. the 32" measurement represents the diagonal measurement of the screen. You

Nonamiya [84]

Answer:

B. 28 inches

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem.

a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse (diagonal)

16^2 + b^2 = 32^2

256 + b^2 =1024

Subtract 256 from each side

256-256 + b^2 =1024-256

b^2 = 768

Take the square root of each side

sqrt(b^2) = sqrt(768)

b = 27.7128129

Rounding to the nearest inche

b = 28 inches

3 0

3 years ago

Which represents the solution(s) of the system of equations, y=-x^2+6x+16 and y=-4x+37? Determine the solution set algebracicall

padilas [110]

Option C is the correct answer.

4 0

3 years ago

Can someone help me please ?

Oliga [24]

I think that it might be "c" but I am not sure but hey it is worth a shot sorry if I am wrong!

7 0

3 years ago