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3 years ago

2 out of 5 runners finished in fewer than 10 minutes. What percent of the runners finished in fewer than 10 minutes?

Mathematics

1 answer:

34kurt3 years ago

8 0

Answer:

40%

Step-by-step explanation:

2/5 can be converted to 40/100 by multiplying the numerator and denominator by 20.

40/100 is equivalent to 40%.

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A certain plant runs three shifts per day. Of all the items produced by the plant, 50% of them are produced on the first shift,

Snezhnost [94]

Answer:

0.2941 = 29.41% probability that it was manufactured during the first shift.

Step-by-step explanation:

Conditional Probability

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.

In this question:

Event A: Defective

Event B: Manufactured during the first shift.

Probability of a defective item:

1% of 50%(first shift)

2% of 30%(second shift)

3% of 20%(third shift).

$P(A) = 0.01*0.5 + 0.02*0.3 + 0.03*0.2 = 0.017$

Probability of a defective item being produced on the first shift:

1% of 50%. So

$P(A \cap B) = 0.01*0.5 = 0.005$

What is the probability that it was manufactured during the first shift?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.005}{0.017} = 0.2941$

0.2941 = 29.41% probability that it was manufactured during the first shift.

6 0

3 years ago

How do i cancel free trial

frez [133]

CHECK THE TERMS OF USE... 

UNDER THAT, YOU'LL SEE SUBSCRIPTIONS, ETC... 

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3 years ago

Read 2 more answers

What is the absolute value of -7? How far is it from zero?

Reil [10]

It is 7 away from zero

8 0

3 years ago

Read 2 more answers

PLEASE HELP!!! ILL MARK A HIGH POINT COUNT, GIVE BRAINLIEST, FIVE STARS, AND GIVE THANKS TO WHOEVER ANSWERS CORRECTLY!!!!

Westkost [7]

Each letter of the alphabet is worth two times as much as the one before it, implying that the value of each letter rises in mathematical progression. The formula for finding the nth term of an arithmetic progression would be used. I am written as

a + (n - 1)d = Tn

Where

The number of terms in the arithmetic sequence is represented by n.

The common difference of the terms in the arithmetic sequence is represented by d.

The first term of the arithmetic sequence is represented by a.

Tn stands for the nth word.

Based on the facts provided,

n = 26 characters1 Equals a

3 minus 1 equals 2 (difference between 2 letters)

Therefore,

1 + (26 - 1)2 = T26

51 = T26

The formula for calculating the sum of an arithmetic sequence's n terms

is as follows:

[2a + (n - 1)d] Sn = n/2

As a result, S26 is the sum of the first 26 terms.

S26 = 20/2[2 1 + (26 - 1)2] S26 = 20/2

[2 + 50] S26 =

676 = S26 = 13 52

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horsena [70]

Answer:

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