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Mariulka [41]
3 years ago
5

What number is needed to complete the pattern below 66 73 13 21 52 _1020

Mathematics
1 answer:
Dimas [21]3 years ago
6 0
<span>Answer 61 73-66= 7 21-13 = 8 ?? -52= 9 20-10 = 10 ??=61</span>
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A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly
Keith_Richards [23]

Answer:

0.7208 = 72.08% probability that this whole shipment will be accepted.

Step-by-step explanation:

For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used 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.

4% rate of defects

This means that p = 0.04

26 tablets

This means that n = 26

What is the probability that this whole shipment will be accepted?

Probability that at most one tablet does not meet the specifications, which is:

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

Thus

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

P(X = 0) = C_{26,0}.(0.04)^{0}.(0.96)^{26} = 0.3460

P(X = 1) = C_{26,1}.(0.04)^{1}.(0.96)^{25} = 0.3748

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.3460 + 0.3748 = 0.7208

0.7208 = 72.08% probability that this whole shipment will be accepted.

3 0
3 years ago
Can SOMEONE please help me solve this :)?
julia-pushkina [17]

Answer:

it is 5x;b=-1x;c=5

Step-by-step explanation:

6 0
3 years ago
What does x stand for in 4+x=3x
Irina18 [472]

x stands for a variable, in which the variable would be replaced by a number(s) that would make the equation true.

Hope this helps

7 0
3 years ago
Kimi and Jordan are each working during the summer to earn money in addition to
cluponka [151]

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

<u>Kimi</u>

  • Earnings = $9 per hour
  • Weekly allowance = $8

So, the equation for Kimi's weekly earning is:

y =9x + 8

<u />

<u>Jordan</u>

  • Earnings = $7 per hour
  • Weekly allowance = $16

So, the equation for Jordan's weekly earning is:

y = 7x + 16

Equate both equations

7x + 16 = 9x + 8

Collect like terms

9x - 7x = 16 - 8

2x =8

Divide both sides by 2

x =4

Hence, their earnings would be the same after 4 hours

Read more about linear equations at:

brainly.com/question/13729904

7 0
2 years ago
Expand and simplify 5(3x+2)-2(4x-1)
blsea [12.9K]

5(3x+2)-2(4x-1)

= 15x+10-8x+2

= 7x+12

6 0
1 year ago
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