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ANEK [815]
3 years ago
15

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) What is t

he mean of the xbar sampling distribution
Mathematics
1 answer:
Illusion [34]3 years ago
8 0

Answer:

Sample mean (xbar) = 40

Step-by-step explanation:

Given that :

Sample size (n) = 64

Population mean (μ) = 40

Standard deviation (σ) = 5

The sample mean is equal to the population mean according to the central limit theorem.

The sample standard deviation = standard error = ;

Standard Error = σ / √n

Standard Error = 5 / √64

Standard Error = 5 / 8

Standard Error = 0.625

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A software company sells an education version (e) and a commercial version (c) of its popular image editing software. During the
geniusboy [140]
Make 2 equations let x=150 y=600/180000  than plug and chug
4 0
3 years ago
Read 2 more answers
Which of the number(s) below are potential roots
Gnom [1K]

Answer:

+1 is the potential root of the function.

Step-by-step explanation:

Given;

p(x) = x⁴ + 22x⁴ – 16x - 12

A potential root of the function is zero of the function. That is a potential root will reduce the function to  zero or close to zero.

To determine this, we test each of the root given;

p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700

p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803

p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5

p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068

The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.

8 0
3 years ago
Nora's math teacher said that each question answered correctly on a test would be
lbvjy [14]

Answer:

add one please i wanna help!

Step-by-step explanation:

8 0
3 years ago
Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much
lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}

(1.0275)^{16}P = 15000

P = \frac{15000}{(1.0275)^{16}}

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

In which:

  • P is the payment.
  • n is the number of payments.
  • r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

6 0
1 year ago
if a fish tank,8/11 of the fish have a red stripe on them.If 16 of the fish have red stripes,how many total fish are in there
Arisa [49]
8/11--------> 16

to find the total number of fish, divide 16 by 8 and multiply it by 11,

16÷8=2
2×11=22

total number of fish= 22

check,

22÷11×8=16

if you want to find the number of fish without the red stripes,

8/11--------> 16
11/11------->22
3/11--------->?

you can either subtract 16 by 22=6
or
22÷11×3=6

hope this helps......
3 0
3 years ago
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