Find the product of 543.1187 and 100 A. 5.431187 B. 54,311.87 C. 5,431.187 D. 54.31187 Can someone also explain how they came up with the answer so that I can understand? (do you move the decimal? If so, to the left or right? How many times you move it?

Answers

Answer 1
Answer: 543.1187*100=\boxed{54311.87}

When you're multiplying by a power of 10 such as 100, the decimal point moves two places to the right. Note that this corresponds with the number of zeroes in 100. Of course our number is going to get bigger, not smaller, which means we'd have to be going right. If we multiplied by something like 0.001, we'd also be going two places, just going smaller and to the left.
Answer 2
Answer:

The answer would be 543.1187 X 100= {54311.87}


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. The mean width of 12 iPads is 5.1 inches. The mean width of 8 Kindles is 4.8 inches. a. What is the total width of the iPads? b. What is the total width of the Kindles? c. What is the mean width of the 12 iPads and 8 Kindles?

Answers

Answer:

a) 61.2, b) 38.4 and c) 4.98

Step-by-step explanation:

Given:

The mean width of 12 I-Pads is 5.1 inches.

The mean width of 8 Kindles is 4.8 inches.

Question asked:

a. What is the total width of the I-Pads?

b. What is the total width of the Kindles?

c. What is the mean width of the 12 I-Pads and 8 Kindles?

Solution:

As we know:

Mean =(Sum\ of\ observations)/(Number\ of\ observations)\n \n Mean\ width =(Sum\ of\ width\ of\ all \ I-pad)/(Number \  of\ I-pad)

5.1=(Sum\ of\ width\ of\ all\ I-pad)/(12) \n \n By \ cross\ multiplication\n \n Sum\ of\ width\ of\ all\ I-pad}=5.1*1 2\n \n Sum\ of\ width\ of\ all\ I-pad}= 61.2

a) Thus, the total width of the I-Pads are 61.2 inches.

Mean\ width =(Sum\ of\ width\ of\ all\ Kindles)/(Number \  of\ Kindles)

4.8=(Sum\ of\ width\ of\ all\Kindles)/(8) \n \n By \ cross\ multiplication\n \n Sum\ of\ width\ of\ all \ Kindles=4.8*8\n \n Sum\ of\ width\ of \ all\ Kindles}=38.4

b) Thus, total width of the Kindles are 38.4 inches.

Combined width of both I-pad and Kindles = 61.2 + 38.4 = 99.6 inches

Combined number of observations = 12 + 8 =20

Combined mean of width of the 12 I-Pads and 8 Kindles = Combined width of both I-pad and Kindles / Combined number of observations

Combined mean of width of the 12 I-Pads and 8 Kindles = (99.6)/(20) =4.98\ inches

c) Thus, the mean width of the 12 I-Pads and 8 Kindles is 4.98 inches.

Final answer:

The total width of the iPads is 61.2 inches and for the Kindles, 38.4 inches. When calculated together, the mean width of the iPads and Kindles is 4.98 inches per device.

Explanation:

This question deals with the calculation of means (averages) and total values. To find the total width of the iPads, we multiply the mean width by the number of iPads:

5.1 inches * 12 iPads = 61.2 inches.

For the Kindles, we do the same:

4.8 inches * 8 Kindles = 38.4 inches.

To find the mean width of all the devices together, we add up the total widths and divide by the total number of devices:

(61.2 inches + 38.4 inches) / (12 iPads + 8 Kindles) = 99.6 inches / 20 devices = 4.98 inches/device.

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Solve the equation.
2(x + 4) = x + 13

A. −3
B. −1
C. 5
D. 7

Answers

2x + 8 = x + 13
x = 5
The answer is C) x = 5

Here are the steps I did.

1. Expand ( 2x + 8 = x + 13)

2. Subtract 8 from both sides ( 2x = x + 13 - 8)

3. Simplify x + 13 - 8 to x + 5 ( 2x = x + 5)

4. Subtract x from both sides ( 2x - x = 5)

5. Simplify 2x - x to x ( x = 5)

A 7/16 inch-long bolt is used in a machine. What is the length written as a decimal?

Answers

7/16 can rewritten as;
7÷16
=0.4375
So, 7/16 is the same as 0.4375

Question 1467: Heteroscedasticity means that the variability of y values is larger for some x values than for others. True or False?

Answers

Final answer:

Heteroscedasticity does mean that the variability of y-values is larger for some x values than for others, which is a condition that can impact the efficiency of your estimator and lead to incorrect conclusions in regression analysis.

Explanation:

The statement 'Heteroscedasticity means that the variability of y values is larger for some x values than for others' is True. In the context of regression analysis, heteroscedasticity refers to the variability of the random disturbance (the y-values) being different across elements of an independent variable (the x-values). For instance, the variance of errors might increase or decrease with the level of the dependent variable. This violates the assumption of homoscedasticity in ordinary least squares (OLS) regression, which presumes that the variation around the regression line is the same for all values of the independent variable. The presence of heteroscedasticity could impact the efficiency of your estimator and could lead to incorrect conclusions about the relationship between the dependent and independent variables.

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HELP ASAP PLEASE I NEED HELP

Answers

Answer:

A

Step-by-step explanation:

I think it is I'm not sure but I hope it is

Find all the powers of 4 in the range 4 through 1,000.

Answers

4^1 = 4
4^2 = 16
4^3 = 64
4^4 = 256