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3 years ago

What is 1/8 - 7/8 ? ( its a fraction)

Mathematics

1 answer:

kap26 [50]3 years ago

4 0

Answer:

1/8-7/8= -3/4

Step-by-step explanation:

1/8-7/8 is just like 7/8-1/8 but is the opposite

7/8-1/8=6/8 or 3/4

1/8+6/8=7/8

1/8-1/8=0

0-6/8= -6/8 or -3/4

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

polet [3.4K]

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.

5 0

3 years ago

Add the product of (-16) and (-9) to the quotient of (-132) by 6.

alukav5142 [94]

9*16-132/6=122...........

8 0

2 years ago

Plot the vertices (–2, –8), (–2, 2), and (8, 2). What is the last vertex of the rectangle? What is the area of the rectangle? sq

Wewaii [24]

Answer:

the last vertex is (8,-8)

the area of the rectangle is 100 square units

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Pls help me with this

tamaranim1 [39]

Answer:

Step-by-step explanation:

So you start with 5.7 miles which is the first ride and the long ride is 5 2/3 times longer so you multiply 5.7 by 5 2/3. 5.7 is equivalent to 5 7/10 so you multiply 5 7/10 by 5 2/3. If we get common denominators we will end up with 5 21/30 and 5 20/30 then you multiply. You will get 32.3: 32.3 is equivalent to 32 and 3/10. Then you add that to 5 and 7/10. You will get 38.

Answer: 38

3 0

3 years ago

Wesley and Lincoln went fishing. Wesley caught a fish 15 3/16 inches long and Lincoln caught a fish 12 3/4 inches long. How many

Arlecino [84]

Answer:

2 7/16 inches longer

Step-by-step explanation:

15 3/16 - 12 3/4= 243/16 - 51/4 = 243/16 - 204/16= 39/16 inches longer

39/16=2 7/16 inches longer

8 0

1 year ago