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Alborosie
1 year ago
15

Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 h

ours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.
Mathematics
1 answer:
ycow [4]1 year ago
7 0

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

<h3>What are z-scores?</h3>

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that:  x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

Know more about the z-scores here:

brainly.com/question/25638875

#SPJ4

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Answer:

The probability that I will choose a consonant is 62.50%.

Step-by-step explanation:

Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:

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0.625 x 100 = 62.50

Therefore, the probability that I will choose a consonant is 62.50%.

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Amy measured a house and made a scale drawing. The scale of the drawing was 5 millimeters : 2 meters. In the drawing, the dining
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Step-by-step explanation:

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What is the relationship between 5 in these two numbers 8,523 and 9,852
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The 5 in 8523 is 10x greater than the 5 in 9852.

Step-by-step explanation:

Note the place value of the two number's digit 5:

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10 x 10 = 100 ∴ The 5 in 8523 (hundreds place value) is 10x greater than the 5 in 9852 (tens place value).

~

4 0
2 years ago
Please answer if known - thnx so much
zheka24 [161]
The answer is 36. You can multiply top and bottom by 3, or cross multiply and divide.

3 0
3 years ago
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if two of these congruent angles have the same degree measure and Angle1 is (3× + 10) degrees and the Angle 2 is (5× - 4) degree
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Answer:

Each angle = 31 degree

Step-by-step explanation:

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