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sleet_krkn [62]
3 years ago
6

A new extended-life light bulb has an average life of 750 hours, with a standard deviation of 50 hours. If the life of these lig

ht bulbs approximates a normal distribution, about what percent of the distribution will be between 600 hours and 900 hours?
Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0

Answer:

99.7% of the distribution will be between 600 hours and 900 hours.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 750

Standard deviation = 50

What percent of the distribution will be between 600 hours and 900 hours?

600 = 750 - 3*50

600 is 3 standard deviations below the mean

900 = 750 + 3*50

900 is 3 standard deviations above the mean

By the Empirical Rule, 99.7% of the distribution will be between 600 hours and 900 hours.

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What is the solution to the equation 13.7y = 6.2y + 30?
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Here, we are required to determine the solution to the equation: 13.7y = 6.2y + 30?

The solution to the equation is y = 7.5

The solution is thus,

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Therefore, y = 30/7.5 = 4

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Read more:

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2 years ago
Let s represent a false statement, let p represent a true statement, and let r represent a false statement. Find the truth value
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Work Shown:

s = false

p = true

r = false

-p = false, which is the opposite of statement p

s or -p = false or false = false

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8 0
3 years ago
Assign a variable to each quantity and write each statement as an inequality. Then give an example
RideAnS [48]

Answer:

1.

Variable: x

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Value that matches: 12

2.

Variable: y

Inequality: y < 66

Value that matches: 60

Step-by-step explanation:

Solving (1):

Let x be the variable

Reading through the question, we have the inequality to be represented by "at most".

At most is used for less than or equal to.

Hence, the expression can be represented by:

x ≤ 12

The range of this inequality is limited to all natural number that do not exceed 12.

Examples are 8, 2, 11, 12

Solving (2):

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Reading through the question, we have the inequality to be represented by "below".

Below means less than

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Examples are 65, 1 , 60......

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3 years ago
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