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3 years ago

There are k children in a family, and three fewer adults than kids. How many people are there in this family?

Mathematics

1 answer:

svet-max [94.6K]3 years ago

3 0

Answer:Depending on how many kids or adults there are there is 3 more of the kids.

Step-by-step explanation: let's say you have 2 adults.Since there are 3 more kids than adults there would be 5 children. So all together there is 7 family members

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Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 a

krok68 [10]

Answer:

Jessie scored higher than Reagan.

Step-by-step explanation:

We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.

Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.

For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.

1. <u>Finding z-score for Reagan;</u>

Let X = distribution of SAT scores

SO, X ~ Normal( $\mu=1000, \sigma^{2}=100^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 1000

$\sigma$ = standard deviation = 100

Now, Reagan scored 1140 on the SAT, that is;

z-score = $\frac{1140-1000}{100}$ = 1.4

2. <u>Finding z-score for Jessie;</u>

Let X = distribution of ACT scores

SO, X ~ Normal( $\mu=17, \sigma^{2}=5^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 17

$\sigma$ = standard deviation = 5

Now, Jessie scored 30 on the ACT, that is;

z-score = $\frac{30-17}{5}$ = 2.6

This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.

6 0

3 years ago

A circular pool is 32 foot across.What is the area of the pool rounded to the nearest hundredth of a foot?___square feet.

liberstina [14]

Answer:

correct answer is 95

clear explanation is 86

7 0

2 years ago

HELPPPP- you just got your driver's license. Your parents buy you a car and agree to let you pay them back over a period of 70 m

Nitella [24]

Using the monthly payments formula, it is found that a car with a value of at most $25,293.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

In this problem, we have that the parameters are given as follows:

A = 400, n = 70, r = 0.035.

Hence:

r/12 = 0.035/12 = 0.002917.

Then we have to solve for P to find the maximum value of the car.

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$400 = P\frac{0.002917(1.002917)^{70}}{(1.002917)^{70}-1}$

$P = \frac{400[(1.002917)^{70}-1]}{0.002917(1.002917)^{70}}$

P = $25,293.

More can be learned about the monthly payments formula at brainly.com/question/26267630

#SPJ1

7 0

2 years ago

What type of polynomial is 2x+10

Romashka-Z-Leto [24]

AnswerAnswer:

Binomial

Step-by-step explanation:

there are 2 terms

Have a great day!

If it helped mark me as brainliest!

6 0

2 years ago

Read 2 more answers

PLEASE HELP NEED ANSWER BADLY

rjkz [21]

You do 1/3(area of the base)(height) so it’s (1/3)(32^2)(39). 13,311.999999 cubic yards is the answer.

5 0

2 years ago