Ask question

Ask question

All categories

3 years ago

14

a survey of a random sample of 1280 student loan borrowers found that 218 had loans totaling more than $40,000 for their undergr

aduate education. Estimate the true proportion of student loan borrowers who have loans totaling more than $40,000.

1 answer:

AnnyKZ [126]3 years ago

3 0

Answer:

1/10 or 0.1

Step-by-step explanation:218/1280 (40,000 is just a number to knock you off)

You might be interested in

What is the mean absolute deviation of 42 31 1 1 2 4 5 6 7 3

FromTheMoon [43]

The mean absolute deviation is 10.52.

<h3>What is the mean absolute deviation?</h3>

The mean absolute deviation of a dataset is the average distance between each data point and the mean. It is a measure of variation of a data set.

MAD =1/n ∑ l x - m(x) l

Where:

n = total numbers in the data set

x = number

m(x) - median

The first step is to determine the mean of the data set: (42 + 31 + 1 + 1 + 2 4+ 5 + 6 + 7 + 3) / 10 = 10.2

Find the absolute value of the difference between the number and the mean. Add the result | (42 - 10.2) + (31 - 10.2) + (1 _ 10.2) + (1 - 10.2) + (2 - 10.2) + (4 - 10.2) + (5 - 10.2) + (6 - 10.2) + (7 - 10.2) + (3 - 10.2) = 105.2

Divide the sum by the total number in the dataset = 105.2 / 10 = 10.52

To learn more about mean absolute deviation, please check: brainly.com/question/27365177

#SPJ1

5 0

1 year ago

A carpenter wants to cut a 45 inch board into two pieces such that the longer piece will be 7 inches longer than the shorter how

matrenka [14]

Answer:

19 in and 26 in

Step-by-step explanation:

Let the length of the shorter piece be x

Then the longer piece is x + 7

x + x + 7 = 45
2x = 45 - 7
2x = 38
x = 19

Short piece = 19 in

Long piece = 26 in

3 0

3 years ago

beth has a total of $6000 to invest, part at 6% simple interest and part at 8% simple interest. Her return for one year is $410.

natita [175]

Since interest=investment*interest rate*time in years for simple interest, we know that there are 2 separate investments. If the amount invested at 6% simple interest is x dollars and the amount invested at 8% is y dollars, then we know that x+y=6000 since she spent all 6000 dollars on only 2 separate investments. Subtracting y from both sides, we get that 6000-y=x. In addition, we know that her interest for the 6% interest rate is x*0.06*1 as well as y*0.08*1 for the 8% simple interest. Since the total interest is 410$, we know that x*0.06*1+y*0.08*1=410. Since y=6000-x, we plug that in to get x*0.06+(6000-x)*0.08=410. Using the distributive property to expand, we get x*0.06+480-0.08x=410=-0.02*x+480. Subtracting 480 from both sides, we get -0.02*x=-70. After that, we can multiply both sides by -50 (since -0.02 times -50 is 1) to get x=3500=amount invested at 6%. Since the amount invested at 8% is 6000-x, that equals 6000-3500=2500

6 0

3 years ago

The surface area of a trianglular pyramid is 305 square inches. the area of the base is 35 square inches. Each face has a base o

dsp73

S=20 inches
Hope this helps

4 0

3 years ago

The probability that a customer's order is not shipped on time is 0.06. A particular customer places three orders, and the order

charle [14.2K]

Answer:

a) There is a 83.06% probability that all orders are shipped on time.

b) There is a 15.90% probability that exactly one order is not shipped ontime.

c) The probability of at least two orders being late is 1.02% + 0.02% = 1.04%.

Step-by-step explanation:

Probability:

What you want to happen is the desired outcome.

Everything that can happen iis the total outcomes.

The probability is the division of the number of possible outcomes by the number of total outcomes.

In our problem, there is:

-A 6% probability that a customer's order is not shipped on time.

-A 94% probability that a customer's order is shipped on time.

We have these following orders:

O1 - O2 - O3.

(a) What is the probability that all are shipped on time?

The probabilities that each order is shipped on time are O1 = 0.94, O2 = 0.94 and O3 = 0.94. So:

$P = (0.94)^{3}$ = 0.8306

There is a 83.06% probability that all orders are shipped on time.

(b) What is the probability that exactly one is not shipped ontime?

The order's can be permutated. What this means? It means that we can have O1 late and O2,03 on time, O2 late and O1,O3 on time and O3 late and O1, O2 on time. We have a permutation of 3 elements(the orders) with 2 and 1 repetitions(2 on time and one late).

The probability that an order is late is:

$P = (0.94)^{2}(0.06)$ = 0.053 for each permutation

Considering the permutations:

$P = 0.053*p^{3}_{2,1} = 0.053\frac{3!}{2!*1!} = 0.053*3 = 0.1590$

There is a 15.90% probability that exactly one order is not shipped ontime.

(c) What is the probability that two or more orders are not shipped on time?

P = P1 + P2, where P1 is the probability that two orders are late and P3 is the probability that all three orders are late.

P1

Considering the permutations, the probability that two orders are late is:

$P_{1} = p^{3}_{2,1}*(0.94)*(0.06)^{2} = 3*(0.94)*(0.06)^{2} = 0.0102$

There is a 1.02% probability that two orders are late

P2

$P_{2} = (0.06)^3 = 0.0002$

There is a 0.02% probability that all three orders are late.

The probability of at least two orders being late is 1.02% + 0.02% = 1.04%.

5 0

3 years ago