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noname [10]
3 years ago
5

Suppose there is a 1.1 Fahrenheit a drop in temperature for every thousand feet that an airplane climbs into the sky and the tem

perature on the ground is 57.9 Fahrenheit what will be the temperature at the altitude of 11,000 feet
Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

45.8 degrees

Step-by-step explanation:

We know that the temp before take off is 57.9

We also know the temp decreases every 1,000 feet so

if we are 11,000 feet in the air and divide that 11000/1000=11

We know that the temp drops 11 times

11x1.1=12.1

57.9-12.1=45.8 degrees

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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
Find the surface area of the figure below. Round to the nearest tenth if necessary.​
Contact [7]

Answer:

173.4 cm^2

Step-by-step explanation:

Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4 cm^2

6 0
2 years ago
What are some potential changes that would lead to a positive impact for something on this planet that man himself changed origi
exis [7]

recycling the right things in the right places - for example, receipts cannot be recycled, and if they are out into paper recycling then this can often cause problems and a whole batch of paper to be recycled can be ruined. this means that a whole bunch of stuff has to go to waste.

5 0
3 years ago
VERY EASY
Nookie1986 [14]

Answer:

1. b+15=27

2. 4*X=36

3. y-9=12

4. k/7=21

Step-by-step explanation:

sum means addition and product means to multiply and difference means subtraction and divided means to divide :)

5 0
2 years ago
Read 2 more answers
Find the probability of picking a purple marble from a jar with 14 green and 14 purple<br> marbles.
iris [78.8K]

Step-by-step explanation:

n(s)=28

n(p)=14

p(p)= n(p)/n(s)

= 14/28

=1/7

4 0
3 years ago
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