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irga5000 [103]
2 years ago
13

Sky high. on a sunny, warm day, a student decides to fly a kite on the college green just to relax. his kite takes off and soars

. he lets all 150 feet of the string out and attracts a crowd of onlookers. there is a slight breeze, and a spectator 90 feet away from the student notices that the kite is directly above her. unlike a real kite, this math-question kite has the string going in a straight line from the student to the kite. how high is the kite from the ground?
Mathematics
1 answer:
Ahat [919]2 years ago
4 0
60 feet high is your answer
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The ordered pairs show (height in inches, men’s shoe size). (70, 9.5) (67, 8) (69, 9) (72, 11.5) (68, 7.5) (60, 6) (71, 11) Use
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Answer: A

Step-by-step explanation:

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marin [14]

Answer:

480 mm³

Step-by-step explanation:

The volume (V) of a pyramid is

V = \frac{1}{3} area of base × height, hence

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2 years ago
Solve the following inequality: –1 + 6(–1 – 3x) > –39 – 2x.    
insens350 [35]
<span>–1 + 6(–1 – 3x) > –39 – 2x. 
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7 0
3 years ago
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According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t
nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that p = 0.2

Suppose that sixteen adults in the United States are selected randomly.

This means that n = 16

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281

P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126

P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111

P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0
3 years ago
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