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Lemur [1.5K]
3 years ago
15

a city has a population of 370000 people. suppose that each year the population grows by 4,5%. what will the population be after

15 years
Mathematics
1 answer:
sashaice [31]3 years ago
6 0

Population=370000

Population growth=4.5%

Increase in Pop growth in a year=

( {100+4,5}/100 )×370000= 386,650 people

Therefore growth in 15years=

386650×15 =

5,413,100 people

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You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly sele
Damm [24]

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.093

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that n = 20, s = 31.61

What is the margin of error for this estimate?

M = T\frac{s}{\sqrt{n}}

M = 2.093\frac{31.61}{\sqrt{20}}

M = 14.79

The margin of error for this estimate is of 14.79 yards per game.

3 0
3 years ago
Please help me with this question
aksik [14]
Only the first choice is correct.
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4 0
3 years ago
Using the definitions of odd and even functions, explain why y= sin x+1 is neither odd nor even.
Artyom0805 [142]

Answer:

Step-by-step explanation:

The graph is symmetric with respect to the origin therefore it is on odd function. The graph is symmetric to the y- axis therefore it is an even function. The majority of functions are neither odd nor even, however, sine and tangent are odd functions and cosine is an even function.

7 0
3 years ago
Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur
Schach [20]
X: earn per  hour during the week
y: earn per hour during the weekend

13x + 14y = 250.90
15x + 8y = 204.70

Multiply the first equation by 4 and the second equation by 7

52x + 56y = 1003.6
105x + 56y = 1432.90

Subtract the first equation from the second:

 53x = 429.30

x = 429.30/ 53
x = 8.10

Solve any of the equation for y:

15x + 8y = 204.70

y = [204.70 - 15(8.10)]/8 = 10.40

y - x = 10.40 -8.10 = 2.30

Answer: she earns $2.30 per hour more during the weekend than during the week.


8 0
3 years ago
Read 2 more answers
Find the solution to the system 9x−4y=−13 and 9x−2y=−20
BaLLatris [955]

Answer:

x = -3, y = -3.5.  As an ordered pair it is (-3, -3.5).

Step-by-step explanation:

9x − 4y = −13

9x − 2y =  -20

Subtract:-

-2y = 7

y = -3.5.

Substitute for y in the first equation:

9x - 4(-3.5) = -13

9x =  -27

x = -3.

3 0
4 years ago
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