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3 years ago

1. What is the length of AD?

Mathematics

1 answer:

lozanna [386]3 years ago

4 0

Answer:

Step-by-step explanation:

you can add the absolute value of -7 with 8 so it's 15

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Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, 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.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

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

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0

3 years ago

PLZ QUICKLY SOMEONE ANSWER the question is find value of a

klasskru [66]

Angle p equals 90 degrees so angle a equals 180-90-41=49

4 0

3 years ago

Because all airline passengers do not show up for their reserved seat, an airline sells 125 tickets for a ﬂight that holds only

bekas [8.4K]

Answer: a) 0.9961, b) 0.9886

Step-by-step explanation:

Since we have given that

Probability that does not show up = 0.10

Probability that show up = 0.90

Here, we use "Binomial distribution":

n = 125 and p = 0.90

Number of passengers that hold in a flight = 120

a) What is the probability that every passenger who shows up can take the ﬂight?

$P(X\leq 120)=\sum_{x=0}^{120}^{125}C_x(0.90)^x(0.10)^{125-x}=0.9961$

(b) What is the probability that the ﬂight departs with empty seats?

$P(X\leq 119)=\sum _{x=0}^{119}^{125}C_x(0.90)^x)(0.10)^{125-x}=0.9886$

Hence, a) 0.9961, b) 0.9886

3 0

3 years ago

Please help me have to turn it in 30 minutes.

Anestetic [448]

24+15+11=50, the total number of times the markers were chosen.

Since 11 of these 50 tries resulted in a red and blue marker, the probability is 11/50. This is equal to 0.22 or 22%.

4 0

3 years ago

What is the volume of this box?<br> 4 in long<br> 12in high<br> 3in wide

Natali5045456 [20]

Answer:

Step-by-step explanation:

Multiply the length, width and height to find the volume of the box

6 0

3 years ago

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