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ioda
4 years ago
7

[7 points] A sample of 78 anchor bolts was randomly selected and the shear strength (in kips) of each was measured, resulting in

a sample mean of 4.25 and a sample standard deviation of 1.30. (a) Calculate a 98% confidence interval to estimate the true mean shear strength. [4 points] (b) Suppose that the shear strength for all bolts in the population was not normally distributed. Would the confidence interval found in part (a) still be valid
Mathematics
1 answer:
vovangra [49]4 years ago
6 0

Answer:

Step-by-step explanation:

We want to determine a 98% confidence interval to estimate the true mean shear strength of anchor bolts.

Number of sample, n = 78

Mean, u = 4.25

Standard deviation, s = 1.3

For a confidence level of 98%, the corresponding z value is 2.33.

We will apply the formula

Confidence interval

= mean ± z × standard deviation/√n

It becomes

4.25 ± 2.33 × 1.3/√78

= 4.25 ± 2.33 × 0.147

= 4.25 ± 0.34

The lower end of the confidence interval is 4.25 - 0.34 = 3.91

The upper end of the confidence interval is 4.25 + 0.34 = 4.59

b) the confidence interval would still be valid because the number of samples is large(> 30)

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Jasmine borrowed $15,000 for 8 years and she paid $6,600 in interest. What was the interest rate for Jasmine's loan?
Virty [35]

Answer:

D) 5.5%

Step-by-step explanation:

To find the interest rate, use the equation:  I = prt


I = Interest = $6,600


p = principal = $15,000


r = rate = unknown


t = time = 8 years



Now plug the numbers into the equation.


6,600 = 15,000 * r * 8


6,600 = 120,000 * r



Now isolate the variable by dividing both sides of the equation by 120,000.


0.055 = r



Now change the rate to a percent by moving the decimal point 2 digits to the right.


5.5% = r   OR   r = 5.5%


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5 0
3 years ago
Tim deposit 4500 in a savings account that pays 4.5% simple interest. How much interest does she earn into years?
sertanlavr [38]

Answer:

ummmm is it meant to ask in 2 years instead of into years? if so

5 0
3 years ago
CDs R Us sells books on tape and on Cd. Tapes sell for $10 and Cds sell for $15.
jeyben [28]

Answer:

10 tapes and 6 Cds

Step-by-step explanation:

As tapes sell for $10 and CD sell for $15, let t be the number of tapes bought and c the number of cds, we can write an equation for the expenditure in the form:

10c + 16t = expenditure

We also n=know she spent 220, so:

10c + 16t = 220

As she bought 16 items, the sum of CD and tapes must be equal to 16. So:

c + t = 16

If we take this last equation and subtract t in both sides:

c = 16 - t

We got the number of CD depending on the number of tapes. We can replace this in the first equation to get t:

10 [16 - t] + 16t = 220

160 - 10 t +16t = 220

160 + 6t = 220

If we subtract 160 in both sides

6t = 220 - 160

6t = 60

Dividing both by 6:

t = 60/6 = 10

So, she purchased 10 tapes. As in total she purchased 16 items she must have purchased 6 cds.

Solution: She purchased 10 tapes and 6 CDs

4 0
4 years ago
Does the function below represent a linear function, an exponential function, a quadratic function, or none of these?
Butoxors [25]

The equation of the function given as (x)= 5 * 2^x is an exponential function

<h3>How to determine the function type?</h3>

The equation of the function is given as

f(x)= 5 * 2^x

An exponential function is represented as

f(x) = a * b^x

Where

Initial value = a

Rate = b

This means that

a = 5

b = 2

Hence, the equation of the function given as (x)= 5 * 2^x is an exponential function

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7 0
2 years ago
The cost of renting a car is 35/we plus $0.25/mi traveled during that week. An equation to represent the cost would be y= 35+0.2
MaRussiya [10]

ANSWER

260 miles

EXPLANATION

The equation that models the cost is

y = 35 + 0.25x

If you have a maximum of $100 to spend for the car rental, then we can equation the cost function to

$100 to determine the maximum number of miles you could travel.

35 + 0.25x = 100

0.25x = 100 - 35

0.25x = 65

x =  \frac{65}{0.25}

x = 260mi

Therefore the maximum number of miles you can travel is 260 miles

7 0
3 years ago
Read 2 more answers
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