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3 years ago

What is the midline equation for the function h(x)=−3cos(πx+2)−6?

Mathematics

1 answer:

Rus_ich [418]3 years ago

6 0

Answer:

y = -6

Step-by-step explanation:

y=acos(bx+c)+d

d = -6 .. vertical shift

midline: y = -6

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Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0

3 years ago

What is the selling price of a $2,499 motorcycle if a $249 discount is given?

erma4kov [3.2K]

The answer is $2,250. (D). To get the answer you do 2,499-249= 2,250. Hope this helps!!

5 0

3 years ago

Which expression is equivalent to -8? A=-2^-3 B=(-1/2)^-3 C=(1/2)^-3 D=2^-3

sladkih [1.3K]

Answer:

The answer is option B.

Step-by-step explanation:

$( - \frac{1}{2} ) ^{ - 3} = ( - 2) ^{3} = - 8$

Hope this helps you

4 0

3 years ago

Read 2 more answers

Sunday by 11:59pm

beks73 [17]

Answer:

The amount of markup is 88 dollars.

Step-by-step explanation:

Given that the whole sale price of bicycle is: $400

$P = \$400$

Mark up is the profit that the seller of the product makes after selling the product more in price more than its cost or buying price.

Given that mark up percentage is 22%

It can be written mathematically as:

$Mark\ up = 22\%\ of\ Price\\Mark\ up = 0.22 * P\\Mark\ up = 0.22 * 400\\= \$88$

Hence,

The amount of markup is 88 dollars.

7 0

3 years ago

The tour cost $359 per person you pay have to pay a deposit of $78 in advance how much do you more do you need to pay

horrorfan [7]

Answer:

$437

Step-by-step explanation:

6 0

3 years ago