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Gnesinka [82]
3 years ago
15

In a survey at a local college, 18% of students reported that they do not own a mobile device with internet capabilities. if 20

students are selected at random, find the probability that at most 5 students don't own a mobile device with internet capabilities.
Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Answer:

0.64

Step-by-step explanation:

The probability that randomly selected student doesn't own a mobile device with internet capabilities is p=0.18 and the probability that randomly selected student owns a mobile device with internet capabilities is q=1-p=1-0.18=0.82.

If 20 students are selected at random, the probability that at most 5 students (0 students, 1 student, 2 students, 3 students, 4 students or 5 students) don't own a mobile device with internet capabilities is

Pr=C_{20}^0p^0q^{20}+C_{20}^1p^1q^{19}+C_{20}^2p^2q^{18}+C_{20}^3p^3q^{17}+C_{20}^4p^4q^{16}+C_{20}^5p^5q^{15}=q^{20}+20pq^{19}+190p^2q^{18}+1,140p^3q^{17}+4,875p^4q^{16}+15,504p^5q^{15}\approx 0.6405021423\approx 0.64.

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nikdorinn [45]

Answer:

Juan travel 31.4 feet farther than Fred in one rotation.

Step-by-step explanation:

In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:

s=\theta \cdot r (Eq. 1)

Where:

r - Radius, measured in feet.

\theta - Angular arch, measured in radians.

s - Change in linear position, measured in feet.

If both makes one rotation in the carousel, we obtain the change in linear position of each player:

Fred (r = 7\,ft, \theta = 2\pi)

s= 2\pi\cdot (7\,ft)

s = (3.14)\cdot (7\,ft)

s = 21.98\,ft

Juan (r = 17\,ft, \theta = 2\pi)

s= 2\pi\cdot (17\,ft)

s = (3.14)\cdot (17\,ft)

s = 53.38\,ft

And the difference between both travelled distances is:

\Delta s = 53.38\,ft-21.98\,ft

\Delta s = 31.4\,ft

Juan travel 31.4 feet farther than Fred in one rotation.

4 0
3 years ago
Which graph represents the function y = -2cos(21x)?<br> helllppp
stealth61 [152]

Answer:

See attached graph

Step-by-step explanation:

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7 0
3 years ago
Which of the following is the formula for the volume of a pyramid with base area b and height h
fgiga [73]

Answer:

Step-by-step explanation:

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7 0
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PLEASE HELP Algebra 1
4vir4ik [10]

Answer:

9, y=9

Step-by-step explanation:

So, there is one thing we always need to remember to find the y intercept.

This is that the y intercept can always be found on the middle line of the graph, when x is at 0.

What we must do is look at the graph, look at where the function hits x=0, and see what the y value is.

In this case, when x equals 0, we can see that y is 9.

So the y intercept is 9.

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s2008m [1.1K]

The only true statement is A:

"The data show a negative linear relationship."

<h3></h3><h3>Which statement is true?</h3>

On the graph, we can see how the car's vale decreases almost linearly with the age of the car.

Where the response variable would be the one on the y-axis, which is the car's value.

For that linear behavior, we know that there is a correlation coefficient different than zero. So options B, C, and D are false.

Finally, we already saw the linear behavior (decreasing, so the slope is negative). Then we conclude that the only true statement is A.

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