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Katyanochek1 [597]
3 years ago
8

vOfficials at a major university wanted to know what percent of their students recycle paper. They conducted a random survey and

found these results: Answer All the time Usually Only when it’s convenient Never Probability 0.55 0.25 0.15 0.05 What is the probability that a randomly selected student at this university recycles at least some of the time? answer to two decimal places:
Mathematics
1 answer:
Svetllana [295]3 years ago
6 0

Answer:

The probability is 0.95

Step-by-step explanation:

In this question, we are interested in calculating the probability that a randomly selected student of the university recycles at least some of the times

Mathematically, the probability that student recycles at least some of time = 1 - probability that the student never recycles all the time

From the question, the probability that the student never recycles all the time = 0.05

Substituting this into the equation given above;

Probability that a randomly selected student at the university recycles at least some of the time = 1-0.05 = 0.95

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If the volume of a sphere is equal to the volume of a cube, what is the ratio of the edge of the cube to the radius of the spher
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Answer: The answer is (C) 1.61.

Step-by-step explanation: Given that the volume of a sphere is equal to the volume of a cube. We are to find the ratio of the edge of the cube to the radius of the sphere.

Let, 'r' be the radius of the sphere and 'e' be the edge of the cube. Then, the volume of the sphere is given by

V_s=\dfrac{4}{3}\pi r^3,

and the volume of the cube is

V_c=e^3.

According to the question, we have

V_s=V_e\\\\\Rightarrow \dfrac{4}{3}\pi r^3=e^3\\\\\\\Rightarrow \dfrac{4}{3}\times\dfrac{22}{7}r^3=e^3\\\\\\\Rightarrow 88r^3=21e^3\\\\\Rightarrow 4.44r=2.75e\\\\\Rightarrow \dfrac{e}{r}=\dfrac{4.44}{2.75}\\\\\Rightarrow e:r=1.61.

Thus, the correct option is (C) 1.61.

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2 years ago
Write an equation of the line with a slope of −1/2 and a y-intercept of 1.
masha68 [24]

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y=-1/2x+1

Step-by-step explanation:

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3 years ago
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5,000-5,000+1.3x<10,000-5,000

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20. Rectangle ABCD is transformed to create rectangle EFGH. What sequence of
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B

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Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about th
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They have the same y-intercept.

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