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Mathematics

2 answers:

Aleks04 [339]3 years ago

8 0

Question:

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic feet?

Answer:

D) 1047.2

docker41 [41]3 years ago

4 0

Volume of the cone: 1/3 of area of the circle * the height
(1/3)π5²*5=(125/3)π
volume of the cylinder: area of the circle *the height: π5²*10=250π
add up: (125/3)π+(125/3)π+250π≈1047.2
D is the correct answer

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The number of potato chips in a bag is normally distributed with a mean of 75 and a standard deviation of 5. Approximately what

Oxana [17]

Approximately 95% of bags contain between 65 and 85 potato chips.

<u>Step-by-step explanation</u>:

step 1 :

Given,

The mean, M = 75

Standard deviation, SD = 5

step 2 :

From Normal distribution,

The left side of mean is 32% = M-SD, 16% = M-2SD and 2% = M-3SD

The right side of mean is 32% = M+SD, 16% = M+2SD and 2% = M+3SD

step 3 :

Calculate for left side: M-SD = 75-5 = 70 and M-2SD = 75-10 = 65

Calculate for right side: M+SD = 75+5 = 80 and M+2SD = 75+10 = 85

step 4 :

Calculate the percentage between 65 and 85:

(M-SD) + (M-2SD) + (M+SD) + (M+2SD) = 32% + 16% + 32% + 16%

= 96 % (which is approximately 95 %)

4 0

2 years ago

The number of stamps that Kaye and Alberto had were in the ration of 5:3 respecctively. After Kaye gave Alberto 10 of her stamps

masha68 [24]

Answer: The correct option is

(D) 60.

Step-by-step explanation: Given that the number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively.

After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5.

We are to find the number of stamps that Kaye had more than Alberto.

Let the number of stamps Kaye and Alberto has are 5x and 3x respectively.

Then, according to the given information, we have

$(5x-10):(3x+10)=7:5\\\\\Rightarrow \dfrac{5x-10}{3x+10}=\dfrac{7}{5}\\\\\Rightarrow 25x-50=21x+70\\\\\Rightarrow4x=120\\\\\Rightarrow x=\dfrac{120}{4}\\\\\Rightarrow x=30.$