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Llana [10]
3 years ago
7

What is the sum of the integers between √22 and √78 ?

Mathematics
1 answer:
serg [7]3 years ago
4 0
I got 13.5 (rounded) hoped I helped you out
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Look at the figure. If m∠JKM = 48, find m∠J.
vladimir2022 [97]

Answer:

42

Step-by-step explanation:

The measure of angle K is 48, the measure of angle m is 90. From there you have 138 degrees. A triangle is 180 degrees. You subtract 138 from 180.

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WILL GIVE BRAINLIEST!! A ramp is 12 inches high and rises with a 17° angle. How long is the base?
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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

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4 years ago
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Number of years since rose bush was planted
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3 years ago
Which one is greater 3/8 or 2/6
Katyanochek1 [597]

Answer: 3/8

Step-by-step explanation:

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