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Airida [17]
3 years ago
7

Help Please! (8th Grade Math) :)

Mathematics
2 answers:
Yanka [14]3 years ago
6 0

Answer:

c = 75 in

Step-by-step explanation:

The hypotenuse of a right triangle is found by the Pythagorean theorem:

<em>a² + b² = c²</em> (a and b are the legs, c is the hypotenuse)

Plug in: <em>45² + 60² = c²</em>

Square + square root: √(2025 + 3600) = c

Add: √5625 = c

Square root: 75 in = c (no negatives because we are finding distance)

PilotLPTM [1.2K]3 years ago
4 0

75 inches. You use the pythagorean theorem

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3 years ago
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Mark A machine has two parts labeled A and B. The probability that part A works for one year is 0.8 and the probability that par
Mrrafil [7]

Answer:

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.

This means that P(A) = 0.8, P(B) = 0.6

The probability that at least one part works for one year is 0.9.

This means that: P(A \cup B) = 0.9

We also have that:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

So

0.9 = 0.8+0.6 - P(A \cap B)

P(A \cap B) = 0.5

Calculate the probability that part B works for one year, given that part A works for one year.

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.8} = 0.625

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

3 0
3 years ago
A normal distribution has a mean of 101 and a standard deviation of 3.4. What is the z-score of 105? Enter your answer, rounded
oee [108]

Answer:

Z-score = 1.18

Step-by-step explanation:

The z-score measures how many standard deviations from the mean a data is

Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation

Z =\frac{X-\mu}{\sigma}

Where

μ is the mean, x is a data of the population and \sigma is the standard deviation

In this case

\mu =101\\\\\sigma = 3.4\\\\X = 105

Then the z-score is

Z = \frac{105-101}{3.4}\\\\Z = 1.18

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Answer:

A.

1. 6/9

2. 6/3

3. 3/6

4. 9/6

5. 3/9

B.

1. 8/12

2. 3/7

3. 5/3

4. 12/15

5. 20/25

Step-by-step explanation:

You can turn a ratio from #:# into #/# so if the ratio was 3:9 the fraction form would be 3/9.

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