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juin [17]
3 years ago
12

Suppose that the pages per book in a library are normally distributed with an unknown mean and standard deviation. The book leng

ths of 39 randomly sampled books are used to estimate the mean of the population. What t-score should be used to find the 99% confidence interval for the population mean?
Mathematics
1 answer:
Elanso [62]3 years ago
6 0

Answer:

A t-score of 2.0244 should be used to find the 99% confidence interval for the population mean

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 39 - 1 = 38

Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of 0.99(t_{99}). So we have T = 2.0244.

A t-score of 2.0244 should be used to find the 99% confidence interval for the population mean

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Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)
alex41 [277]

Answer:

\large \boxed{y =  -  \frac{1}{9} x -  \frac{5}{9} }

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

\large{m =  \frac{1 - ( - 2)}{ -14 - 13} } \\  \large{m =  \frac{1 + 2}{ - 27} } \\  \large{m =  \frac{3}{ - 27}  =  -  \frac{1}{9} }

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

\large \boxed{y = mx + b}

We already know m-value as we substitute it.

\large{y =  -  \frac{1}{9} x  + b}

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

\large{y = -  \frac{1}{9} x + b} \\  \large{ - 2 =  -  \frac{1}{9} (13) + b} \\  \large{ - 2 =  -  \frac{13}{9}  + b} \\  \large{ - 2 +  \frac{13}{9}  = b} \\  \large{ -  \frac{5}{9}  = b}

Finally, we know b-value. Then we substitute it in our equation.

\large{y =  -  \frac{1}{9} x + b} \\  \large{y =  -  \frac{1}{9} x -  \frac{5}{9} }

4 0
2 years ago
What is -7/9 in a decimal
kicyunya [14]

Answer:

-0.78

Step-by-step explanation:

you would round the number up after you divide.

6 0
3 years ago
Read 2 more answers
A credit card company offers an annual 2% cash-back rebate on all gasoline
Nitella [24]

$4,350  x 0.02 = $87

$360  - $87 = $273

Interest $270 no rebate

so $273 - $270 = $3

6 0
2 years ago
PLEASE HELP ME, I HAVE BEEN WAITING FOR A DAAYY!! How old am i if 400 reduced by 3 times my age is 244?
Vlad1618 [11]

Answer:

52 years

Step-by-step explanation:

Let

Your age = x

3 times your age = 3 * x

= 3x

The equation can be written as:

400 - 3x = 244

400 - 244 = 3x

156 = 3x

Divide both sides by 3

x = 156/3

x = 52

Therefore,

Your age is 52 years

4 0
2 years ago
7 Carolina fosters 5 puppies. For each puppy she buys a crate that costs c dollars
Elena L [17]

2 Answers:

Choice B and Choice C

====================================================

Reasoning:

c = cost of one crate (some unknown amount in dollars)

c+20 = cost of a crate and a leash

5(c+20) = cost of five sets of items mentioned

5(c+20) = 475 is one equation we can form

5c+100 = 475 is another equation we can form

I used the distributive rule to go from 5(c+20) to 5c+100.

The 100 indicates that the five leashes combine to $100, since 5*20 = 100.

The 5c represents the cost of all five crates combined.

So 5c+100 is another way to express the total cost of all five crates and all five leashes.

---------------

Side note: Solving either equation leads to c = 75, meaning that each crate costs $75.

4 0
2 years ago
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