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Vitek1552 [10]
2 years ago
15

Solve the problem.

Mathematics
2 answers:
storchak [24]2 years ago
8 0

The answer is option D.The solution is in the attached file.

RideAnS [48]2 years ago
6 0

Answer:  -185  (choice D)

=========================================================

Explanation:

  • x = first integer
  • x+1 = second integer

Note how x+1 follows immediately after x. That's what "consecutive" means by definition. An example of consecutive integers would be 7,8,9,10.

Adding those two said integers will lead to -371

first+second = -371

x+(x+1) = -371

2x+1 = -371

2x = -371-1

2x = -372

x = -372/2

x = -186

x+1 = -186+1 = -185

Note how -186+(-185) = -371 to confirm the answer.

The two consecutive integers that add to -371 are -186, -185. The larger of the two is -185 since it's more to the right on the number line.

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The random variable KK has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of
asambeis [7]

Answer:

E 240

Step-by-step explanation:

Geometric Distribution mean = (1- p) / p

16 = (1 - p) / p

16p = 1 - p  ;  17p = 1 ; p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280 , closest to 240

5 0
3 years ago
The otherSites Squared10.A cylinder has a diameter of 12 meters and a height of 9 meters. What is thetotal surface area of the c
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The total surface area of a cylinder is given by the formula

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Given diameter, d=12meters, we will solve for radius

\begin{gathered} \text{diameter,d}=2\times radius,r \\ d=2r \\ r=\frac{d}{2} \\ r=\frac{12m}{2} \\ r=6m \end{gathered}

The height is given as 9meters

Substituting for r and h in the formula will give

\begin{gathered} A_{cylinder}=2\pi r^2+2\pi rh \\ r=6m;h=9m;\pi=3.14 \\ A_{cylinder}=2\times3.14\times6^2+2\times3.14\times6\times9_{} \end{gathered}\begin{gathered} A_{cylinder}=6.28\times36+6.28\times54 \\ =226.08+339.12 \\ =565.2m^2 \end{gathered}

Hence the surface area of the cylinder is 565.2m²

8 0
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(4p+12) What is the value of p?
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Answer:

P could be any number if (4p+12) doesn't equal to number

Step-by-step explanation:

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The scatter plot below shows the relationship between the diameter (x), in mm, and mass f(x), in grams, of a berry: ordered pair
ivann1987 [24]
For this case the first thing we must observe is that the mass increases 0.4 grams when the diameter increases 1 millimeter.
 Therefore, the slope of the line is given by:
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 Thus, the function that best suits the table is given by:
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