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3 years ago

Help plz it is only one question

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

It would be 43.75% because

7÷16=0.4375
0.4375×100=43.75%

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A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

17 randomly selected pens

This means that $n = 17$

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is $P(X \leq 2)$ when $p = 0.1$ . So

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167$

$P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315$

$P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762$

0.762 = 76.2% probability that this shipment is accepted

8 0

3 years ago

Is 52ft greater than or less than 912in

viktelen [127]

52 ft is less than 912.

There is 12 inches in a foot, so I did 52 x 12 = 624. 624 is less than 912.

6 0

3 years ago

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For which value of Theta is tan Theta equal to sin Theta?<br>A. pi<br>B. pi/2<br>C. pi/4<br>D. pi/6

AnnyKZ [126]

Answer:

a. pi

Step-by-step explanation:

7 0

3 years ago

Given the Functions.

Furkat [3]

Answer:

The Answer is: A, B, and E.

Step-by-step explanation:

The given equations are:

f(x) = -2x + 8

g(x) = 6x - 10

Test each option:

a. g(-1) = 6(-1) - 10 = -6 - 10 = -16, True.

b. g(2) = 6(2) - 10 = 12 - 10 = 2, True

c. f(4) = -2(4) + 8 = -8 + 8 = 0, False

d g(6) = 6(6) - 10 = 36 - 10 = 26, False

e f(2) = -2(2) + 8 = -4 + 8 = 4, True

Hope this helps!! Have an Awesome day!!! :-)

4 0

2 years ago

for the State Fair next month 132 people volunteer to plan the fairs activities the volunteers form 12 equal groups how many vol

MA_775_DIABLO [31]

Answer:

132/12

Step-by-step explanation:

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3 years ago

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