What is the approximate semiannual rate of growth for an investment that has an annual rate of 10%?

Suppose that time spent on hold per call with customer service at a large telecom company is normally distributed with a mean µ

lana66690 [7]

Answer:

0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8 minutes

Standard Deviation, σ = 2.5 minutes

Sample size, n = 25

We are given that the distribution of time spent is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{2.5}{\sqrt{25}} = 0.5$

P(sample mean is between 7.8 and 8.2 minutes)

$P(7.8 \leq x \leq 8.2)\\\\ = P(\displaystyle\frac{7.8 - 8}{0.5} \leq z \leq \displaystyle\frac{8.2-8}{0.5})\\\\ = P(-0.4 \leq z \leq 0.4})\\\\= P(z < 0.4) - P(z < -0.4)\\\\= 0.6554 -0.3446= 0.3108$

0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.

4 0

4 years ago

$12,000 is invested for 4 years at a simple interest rate of 1.5%. How much does the investment earn?

bixtya [17]

12'000×1.5 I think might need to multiple your answer by 4 yet

5 0

3 years ago

Find the value of x. Round the length to the nearest tenth.

Mamont248 [21]

From right triangle trigonometry, we have the following:

$\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ ,

where the "opposite side" means the opposite side to angle with measure $35^o$ , and "adjacent side" means the adjacent side to angle with measure $35^o$ .

$tan(35^o)$ is a constant which can be found using a calculator.

In the calculator of the pc press: view - scientific - 35 - tan.

This gives $tan(35^o)=0.7$

Thus, back in the equation $\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ we substitute as follows and solve:

$\displaystyle{0.7= \frac{x }{12 }\\\\$

$x=0.7\cdot12=8.4$

Answer: 8.4 cm

5 0

3 years ago

Read 2 more answers

*brainliest for best answer thank you* Solve for b.

vekshin1

Hello from MrBillDoesMath!

Answer:

The fourth choice, b = +\- sqrt( sg + a^2)

Discussion:

s = (b^2 - a^2)/g => multiply both sides by "g"

sg = b^2 - a^2 => add a^2 to both sides

sg + a^2 = b^2 => take the square root of each side

b = +\- sqrt( sg + a^2)

which is the fourth choice.

Thank you,

MrB

7 0

3 years ago

4.2.6

Gnom [1K]

Answer:

3

Step-by-step explanation:

<u>Given</u>

length =6x 106 mm
width = 2x 106 mm

<u>Ratio of length to width:</u>

6x106 / 2x106 = 6/2 = 3

Answer is 3 times

6 1

4 years ago