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Molodets [167]
3 years ago
5

Sugar-free gum contains 40% less calories than regular gum. If a piece of regular gum contains 40 calories , how many calories d

oes a piece of sugar gum contain?
Mathematics
2 answers:
xz_007 [3.2K]3 years ago
5 0
Hey You!

40*40% = 16

40 - 16 = 24

A piece of sugar gum contains 24 calories.
Karolina [17]3 years ago
4 0

24 calories because

40/100*40 calories = 16 calories

40-16=24 calories

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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
A function g(x) has the points (-2, 8) and (2, 8 ) on its graph. Is the function:
Marianna [84]
The function is odd.
3 0
3 years ago
Write 9 41/80 as a decimal
jolli1 [7]
Leave the whole number alone for now. Divide 41 by 80 and you get 0.5125

So your answer is 9.5125
6 0
3 years ago
Suppose that each of 935 smokers received a nicotine patch, which delivers nicotine to the bloodstream but at a much slower rate
nika2105 [10]

Answer:

26.2% of smokers,when given this treatment, would refrain from smoking for at least 6 months.

Step-by-step explanation:

In this problem, we have that:

935 smokers received the treatment(nicotine patch).

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Assuming it is reasonable to regard this sample as representative of all smokers, estimate the percentage of all smokers who, when given this treatment, would refrain from smoking for at least 6 months.

This percentage is 245/935 = 0.2620.

26% of smokers,when given this treatment, would refrain from smoking for at least 6 months.

7 0
3 years ago
Problem page isabel runs 7 miles in 50 minutes. at the same rate, how many miles would she run in 75 minutes?
sammy [17]
<span>if isabel runs 7 miles in 50 minutes, then you know she runs 7/50 miles in one minute, right? So multiply that by the number of minutes she did run, and you can find the distance:


</span><span> 7
------ x 75 =
50


525
------
50


</span><span> If you plug that fraction into your calculator, you get 10.5, so 10 and a half miles.</span>
8 0
3 years ago
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