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2 years ago

11

Can I get some help with 4) and 5) plz

1 answer:

bulgar [2K]2 years ago

3 0

Plan 1 is the best choice because plan 2 would be an extra $120.00 more for the year.

No because Pam is reading 42 pages every hour so in 5 hours she would have only read 210 pages. Zack is reading 45 pages in an hour so he would finish just under 5 hours.

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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

There are 11 students on the tennis team. The coach selects 3 of them to go to atennis clinic. In how many ways can he choose 3

Komok [63]

Answer:

165 ways

Step-by-step explanation:

Selection deals with combination

There are a total of 11 from which 3 are to be selected

11C3 = 11!/3!(11-3)!

= 11!/(3!x8!)

=(11x10x9x8!)/(3x2x8!)

=11x10x9/6

=11x5x3 = 165 ways

8 0

3 years ago

Samuel made a list of his test scores: 88, 100, 92, 80, 85, 94, and 90. What is the lowest test score he can get on his next tes

yulyashka [42]

Answer:

he needs to get a 91 to have a mean score of 90

Step-by-step explanation:

add up all the known scores to get 629

let 's' = lowest test score

(629 + s) ÷ 8 = 90 [we divide by 8 because there are 7 known and 1 unknown score)

cross-multiply to get:

629 + s = 720

s = 720-629

s = 91

4 0

2 years ago

While running for class president, Lily handed out a campaign button. The button has a diameter of 4 inches. What is the button'

77julia77 [94]

Answer:

r=2

Step-by-step explanation:

Divide diameter by 2 since the diameter is half of radius

4/2=r

r=2

3 0

1 year ago

Read 2 more answers

Please help! I will mark brainliest! Random answers will be reported.

pantera1 [17]

Answer:D’ (0, -1)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers