If f(x)= -3x -6and f(n)=9, what is the value of n?

The amounts (in ounces) of randomly selected eight 16-ounce beverage cans are given below. See Attached Excel for Data. Assume t

motikmotik

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The amounts (in ounces) of randomly selected eight 16-ounce beverage cans are given below.

16.5, 15.2, 15.4, 15.1, 15.3, 15.4, 16, 15.1

Assume that the amount of beverage in a randomly selected 16-ounce beverage can has a normal distribution. Compute a 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans and fill in the blanks appropriately.

A 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is ( , ) ounces. (round to 3 decimal places)

Answer:

$99\% \: \text {confidence interval} = (14.886, \: 16.113)\\\\$

Therefore, the 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (14.886, 16.113) ounces.

Step-by-step explanation:

Let us find out the mean amount of the 16-ounce beverage cans from the given data.

Using Excel,

=AVERAGE(number1, number2,....)

The mean is found to be

$\bar{x} = 15.5$

Let us find out the standard deviation of the 16-ounce beverage cans from the given data.

Using Excel,

=STDEV(number1, number2,....)

The standard deviation is found to be

$s = 0.4957$

The confidence interval is given by

$\text {confidence interval} = \bar{x} \pm MoE\\\\$

Where $\bar{x}$ is the sample mean and Margin of error is given by

$$ MoE = t_{\alpha/2} \cdot (\frac{s}{\sqrt{n} } ) $ \\\\$

Where n is the sample size, s is the sample standard deviation and is the t-score corresponding to a 99% confidence level.

The t-score corresponding to a 99% confidence level is

Significance level = α = 1 - 0.99 = 0.01/2 = 0.005

Degree of freedom = n - 1 = 8 - 1 = 7

From the t-table at α = 0.005 and DoF = 7

t-score = 3.4994

$MoE = t_{\alpha/2}\cdot (\frac{s}{\sqrt{n} } ) \\\\MoE = 3.4994 \cdot \frac{0.4957}{\sqrt{8} } \\\\MoE = 3.4994\cdot 0.1753\\\\MoE = 0.6134\\\\$

So the required 99% confidence interval is

$\text {confidence interval} = \bar{x} \pm MoE\\\\\text {confidence interval} = 15.5 \pm 0.6134\\\\\text {confidence interval} = 15.5 - 0.6134, \: 15.5 + 0.6134\\\\\text {confidence interval} = (14.886, \: 16.113)\\\\$

Therefore, the 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (14.886, 16.113) ounces.

8 0

4 years ago

The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa

Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

$A=P(1+\frac{r}{n})^{nt}$

Where A = amount (98,000)

P = Principal amount (P)

r = rate of interest 4.1% (0.041)

n = number of compounding interest monthly (12)

t = time (35 years)

$98,000=P(1+\frac{0.041}{12})^{(12)(35)}$

$98,000=P(1+0.003416)^{(420)}$

$98,000=P(1.003416)^{(420)}$

98,000 = P(4.189386)

= 4.189386P = 98,000

P = $\frac{98000}{4.189386}$

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0

4 years ago

Read 2 more answers

Please help me thank you so much.

rewona [7]

Question 1:

Here's an interesting property of trapezoids:

Since this is a trapezoid, we know the following:
a+36 = 180
b+113 = 180

We only want to solve for a

a + 36 = 180

Subtract both sides by 36

a = 144

Your answer is the second choice.

Question 2:

Since LM is the midsegment, the length of LM is the average of the length of AB and DC.

(AB + DC) / 2 = LM

(46 + 125) / 2

= 171 / 2

= 85.5

The last choice is your answer.

Have an awesome day! :)

4 0

3 years ago

The second of two numbers is 6 times the first. their sum is 84. find the numbers

ddd [48]

X = first numbery = second number Since the second of there two numbers is 6 times the first, this means y equals 6 times x. Therefore, the equation formed will be y = 6x. The second condition is that the same of the two numbers 77. Therefore:x + y = 77Since y = 6x, we can substitute y for 6x and get x + 6x = 77. Simplifying this we get 7x = 77.Therefore, x = 11. We found out the first number, x, equals 11. To find out what y is, we just plug it back into the equation x + y = 77. Therefore, 11 + y = 77 --> y = 66 Answer: The first number equals 11, and the second number equals 66.

3 0

3 years ago

AB is the diameter of a circle with center P. the coordinates of the endpoint of the diameter are (1,3) and 6,6) what are the co

AnnZ [28]

find the coordinates of the middle point of the diameter
center=((1+6)/2;(6+3)/2)
coordinates of P =(3.5,4.5).
no 5 option is right
hope it helps

4 0

4 years ago