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2 years ago

Consider continuous functions f, g, h, and k. Then complete the statements.

Mathematics

2 answers:

Nonamiya [84]2 years ago

5 0

Answer:

H K

Step-by-step explanation:

I just got 100% on this

solmaris [256]2 years ago

4 0

Answer:

g and g

Step-by-step explanation:

just did

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An important factor in selling a residential property is the number of times real estate, agents show a home. A sample of 21 hom

Natalka [10]

Using the t-distribution to build the 99% confidence interval, it is found that:

The margin of error is of 3.64.

The 99% confidence interval for the population mean is (19.36, 26.64).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm t\frac{s}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

t is the critical value.

n is the sample size.

s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.

The other parameters are given as follows:

$\overline{x} = 23, s = 8, n = 21$

The margin of error is given by:

$M = t\frac{s}{\sqrt{n}} = 2.086\frac{8}{\sqrt{21}} = 3.64$

Hence the bounds of the interval are:

$\overline{x} - M = 23 - 3.64 = 19.36$

$\overline{x} + M = 23 + 3.64 = 26.64$

The 99% confidence interval for the population mean is (19.36, 26.64).

More can be learned about the t-distribution at brainly.com/question/16162795

#SPJ1

7 0

1 year ago

Lauren will make annual contributions in the amount of $4,770, on average, to a 401(k) over the next 34 years. Her employer will

fredd [130]

Answer:

$610,297.11

Step-by-step explanation:

The problem seems to make several assumptions:

contributions are made at the end of each year
contributions and employer matching funds are not taxed until retirement
the 15% tax rate applies to the account balance amount at retirement

Of these, the last is least likely to be true in the United States.

___

Based on the assumptions above, we compute the amount from the future value of the series of contributions, then subtract 15% from that result.

FV = P·((1 +r)^n -1)/r . . . . where P is the amount of each payment, r is the annual interest rate, n is the number of payments.

The amount deposited each year is ...

$4770 + 0.60·4770 = $7630

Then the future value after 34 deposits is ...

FV = 7630·(1.055^34 -1)/0.055 ≈ 717,996.60

When this amount is reduced by the assumed 15% tax rate, it becomes ...

$717,996.60 - 0.15·717,996.60 = $610,297.11

4 0

3 years ago

A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. [

BigorU [14]

Answer:

i only understand part A:

a) Yes, the more time the plant spend in sunlight, the taller it grows. for example, the plant that spend no time in the sun only grows to 4cm while the plant that spent 9 hours in the sun grew to 31

4 0

3 years ago

Which term best describes the system of equations?

Oduvanchick [21]

Answer:

coincident

Step-by-step explanation:

The first equation is 3 times the second equation, so describes exactly the same line. The lines are "coincident".

7 0

3 years ago

There are 24 adults and 30 children at a science museum

vovikov84 [41]

Okay so let’s start by figuring what the total number of people is. To get that we add 24 and 30.
24+30= 54
So we have a total of 54 people.
Now, how many children are there?
30 children... which means the ratio is 30:54

Thirty children to fifty four people total at the museum.

Hope this helps!
Contact me if you have any more questions or concerns.

3 0

3 years ago