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2 years ago

She uses 18 square inches of paper for each card How many square feet of paper does she need to make 150 cards

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

8 0

Answer:

225

Step-by-step explanation:

Well, we already know how many square inches each card is. 18. All we need to do is multiply that number by 150 because we need to make 150 cards. So:

18 x 150 = 2,700inches.

Now all we need to do is divide the number of inches by the amount each foot is. Each foot is 12 inches. So:

2,700 ÷ 12 = 225.

225 is your answer.

Hope this helps and have a nice day!

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When was the last time that texas tried to become its own state

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Answer:

The Texas Declaration of Independence was signed in 1836 and the Texas Republic ratified its own constitution shortly after. In 1837, the U.S. formally recognized Texas as a nation, but the new country struggled economically without any of the resources of its larger neighbors, leading most (but not all) residents to welcome statehood by the time it came through in 1845. Only a little more than a decade passed, however, before the state tried to secede from its national government again, joining with the Confederacy in 1861.

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3 years ago

A university found that of its students withdraw without completing the introductory statistics course. Assume that students reg

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Answer:

A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.

a. Compute the probability that 2 or fewer will withdraw (to 4 decimals).

= 0.0355

b. Compute the probability that exactly 4 will withdraw (to 4 decimals).

= 0.1304

c. Compute the probability that more than 3 will withdraw (to 4 decimals).

= 0.8929

d. Compute the expected number of withdrawals.

= 6

Step-by-step explanation:

This is a binomial problem and the formula for binomial is:

$P(X = x) = nCx p^{x} q^{n - x}$

a) Compute the probability that 2 or fewer will withdraw

First we need to determine, given 2 students from the 20. Which is the probability of those 2 to withdraw and all others to complete the course. This is given by:

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 2) = 20C2(0.3)^2(0.7)^{18}\\P(X = 2) =190 * 0.09 * 0.001628413597\\P(X = 2) = 0.027845872524$

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 1) = 20C1(0.3)^1(0.7)^{19}\\P(X = 1) =20 * 0.3 * 0.001139889518\\P(X = 1) = 0.006839337111$

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 0) = 20C0(0.3)^0(0.7)^{20}\\P(X = 0) =1 * 1 * 0.000797922662\\P(X = 0) = 0.000797922662$

Finally, the probability that 2 or fewer students will withdraw is

$P(X = 2) + P(X = 1) + P(X = 0) \\= 0.027845872524 + 0.006839337111 + 0.000797922662\\= 0.035483132297\\= 0.0355$

b) Compute the probability that exactly 4 will withdraw.

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 4) = 20C4(0.3)^4(0.7)^{16}\\P(X = 4) = 4845 * 0.0081 * 0.003323293056\\P(X = 4) = 0.130420974373\\P(X = 4) = 0.1304$

c) Compute the probability that more than 3 will withdraw

First we will compute the probability that exactly 3 students withdraw, which is given by

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 3) = 20C3(0.3)^3(0.7)^{17}\\P(X = 3) = 1140 * 0.027 * 0.002326305139\\P(X = 3) = 0.071603672205\\P(X = 3) = 0.0716$

Then, using a) we have that the probability that 3 or fewer students withdraw is 0.0355+0.0716=0.1071. Therefore the probability that more than 3 will withdraw is 1 - 0.1071=0.8929

d) Compute the expected number of withdrawals.

E(X) = 3/10 * 20 = 6

Expected number of withdrawals is the 30% of 20 which is 6.

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Simply take the numerator (3) and denominator (7) and add them together.

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2 years ago

She uses 18 square inches of paper for each card How many square feet of paper does she need to make 150 cards​

She uses 18 square inches of paper for each card How many square feet of paper does she need to make 150 cards