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3 years ago

there are 1282 people under the age of 20 in Pierce city. this represents 19% of the population. what is the total population?

Mathematics

2 answers:

Margaret [11]3 years ago

5 0

Let t be the total pop. Then 0.19t = 1282, and t = 1282 / 0.19 = 6747 people

umka2103 [35]3 years ago

4 0

1282*100/X=19

X=6747 the total population

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If Ms. P wants to withdraw $900 from an account earning 4% average annual interest rate at the start of each year for 7 years, h

Ksju [112]

Answer:

Amount he must have in his account today is $5,617.92

Step-by-step explanation:

Data provided in the question:

Regular withdraw amount = $900

Average annual interest rate, i = 4% = 0.04

Time, n = 7 years

Now,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

here,

C = Regular withdraw amount

Thus,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

Present Value = $900 \times\left[ \frac{1-(1+0.04)^{-7}}{ 0.04 } \right] \times(1 + 0.04)$

Present Value = $936 \times\left[ \frac{1 - 1.04^{-7}}{ 0.04} \right]$

Present Value = $936 \times\left[ \frac{1 - 0.759918}{ 0.04} \right]$

Present Value = 936 × 6.00205

Present Value = $5,617.92

Hence,

Amount he must have in his account today is $5,617.92

7 0

3 years ago

Mr.jeff divided his money in the ratio 4:2 between Jon and jack Jon got the smaller amount of $1,256 how much did jack get?

nadezda [96]

Ratio in which Mr.Jeff divided his money between Jack and Jon = 4:2
Let us assume the common ration to be = x
The amount of money that Jon got = $1256
Then
2x = 1256
x = 1256/2
= 628
Then
The amount of money that Jon got = 4 * 628 dollars
= 2512 dollars
So the amount that Jack got is $2512. As Jack got the major or the bigger share of the money, so the answer is correct. I hope the procedure for solving the question is also easy for you to understand.

6 0

3 years ago

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Viefleur [7K]

Answer:

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Step-by-step explanation:

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2 years ago

An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0

zmey [24]

Answer:

96.33% probability that everyone who appears for the flight will get a seat

Step-by-step explanation:

I am going to use the binomial approximation 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .