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dem82 [27]
3 years ago
14

Which one of the following is an equation? O 3m + 2 3m 2 3m +2 = 11

Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0

Answer:

3m+2=11

Step-by-step explanation:

Because equation is joined with equal sign

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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
2(3.4-6)2+80:(17-5.3)2+3.√49
yaroslaw [1]
This is. Pemdas. P is puntion. M mutupaTy d division a. Aadd s subtraant
8 0
3 years ago
Solve for y; 1/y = a/w + w/a ​
AVprozaik [17]
Do it yourself GET OFF THIS APPPPP just kidding idk the answer
8 0
3 years ago
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2√72÷√8±√2<br><br> I Need help with this question fast
Oxana [17]

2√72 / √8 ± √2

If the denominator is √8 + √2,

2√72 / √8 + √2

= 2√(2*2*2*3*3) / √(2*2*2) + √2

= 2*2*3√2 / 2√2 + √2

= 12√2 / 3√2

= 4

4 0
3 years ago
Please help now i need it quick
liubo4ka [24]
1. Out of a study of 64 dentists, 56 recommended.
2. 3 is the answer. Hope you do well on your test :)))
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3 years ago
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