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dimulka [17.4K]
3 years ago
6

Fred spends $3.15 on 4 1/2 pounds of peanuts. How much did he pay for each pound of peanuts

Mathematics
1 answer:
vodomira [7]3 years ago
6 0

Answer:

3.15/4.5 = .70 per pound of peanuts he paid for

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Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement
Alex Ar [27]

Answer:

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

Step-by-step explanation:

We use the binomial aproxiation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.173, n = 120. So

\mu = E(X) = np = 120*0.173 = 20.76

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.173*0.827} = 4.14

In a random sample of 120 households, what is the probability that more than 20 households but fewer than 35 households receive a retirement income?

We are working with discrete values, so this is the pvalue of Z when X = 35-1 = 34 subtracted by the pvalue of Z when X = 20 + 1 = 21.

X = 34

Z = \frac{X - \mu}{\sigma}

Z = \frac{34 - 20.76}{4.14}

Z = 3.2

Z = 3.2 has a pvalue of 0.9993

X = 21

Z = \frac{X - \mu}{\sigma}

Z = \frac{21 - 20.76}{4.14}

Z = 0.06

Z = 0.06 has a pvalue of 0.5239

0.9993 - 0.5239 = 0.4754

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

6 0
3 years ago
Please help with these 3 pretty easy problems and explain how you got it!!! 100 POINTS AND BRAINLIEST!!!! Serious answers please
natita [175]

Answer:

Step-by-step explanation:

1)

(x-3)/18=12/9, cross multiply

9(x-3)=18(12)

9x-27=216, add 27 to each side

9x=243, divide each side by 9

x=27

2)

(x-16)/(x+6)=3/5, cross multiply

5(x-16)=3(x+6)

5x-80=3x+18, subtract 3x from each side

2x-80=18, add 80 to each side

2x=98, divide each side by 2

x=49

3)

Since the triangles are similar we can say that

25/(4x-1)=10/(x+5), cross multiply

25(x+5)=10(4x-1)

25x+125=40x-10, subtract 40x from each side

-15x+125=-10, subtract 125 from each side

-15x=-135, divide each side by -15

x=9

7 0
2 years ago
Read 2 more answers
Please help me with Part A and B!
Illusion [34]

Answer:

A. When Katina has $280 in her bank account, 4 months have passed. Plug 4 months into Malorie's bank account equation:

a = 50(4) + 100

a = 200 + 100

a = $300

B. Malorie's bank account changes at a greater rate. Katina's bank account amount increases by $20 each month, whereas Malorie's bank account increases by $50.

Ex: month 5

Katina has 300, 20 more than the previous month.

Malorie has 350, 50 more than the previous month

5 0
2 years ago
A cubical house can hold 4096m of air .find the height of the house​
iren2701 [21]

Answer:

16 m

Step-by-step explanation:

V = s^{3}

4096 = s^{3}

cube root of 4096 = 16

5 0
3 years ago
Graphing Linear Inequality<br><br> y≤ 3/5x-5
Damm [24]
y\leq\frac{3}{5}x-5\\\\for\ x=0\to y=\frac{3}{5}(0)-5=0-5=-5\to A(0;-5)\\\\for\ x=5\to y=\frac{3}{5}(5)-5=3-5=-2\to B(5;-2)\\\\look\ at\ the\ picture

3 0
3 years ago
Read 2 more answers
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