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GenaCL600 [577]
2 years ago
13

I need help ASAP!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
masya89 [10]2 years ago
7 0

Answer:

-2.5

Step-by-step explanation:

hope I helped<3

HACTEHA [7]2 years ago
4 0

Answer: -2.5



Step-by-step explanation:

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An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equ
kompoz [17]

Answer:

0.62% probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

Normal probability distribution.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 800, \sigma = 40, n = 16, s = \frac{40}{\sqrt{16}} = 10

Find the probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

This probability is the pvalue of Z when X = 775. So

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

Z = \frac{775 - 800}{10}

Z = -2.5

Z = -2.5 has a pvalue of 0.0062. So there is a 0.62% probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

5 0
3 years ago
Question 5 of 8 2 Points Which values are solutions to the inequality below? Check all that apply. x2 &gt; 10
Ket [755]

Answer:

4 and -4

Step-by-step explanation:

> means greater than

x² > 10

4² > 10 → True, 16 is greater than 10

-4² > 10 → True, 16 is greater than 10

8 0
3 years ago
Find the distance between points.
SashulF [63]

Answer:

3 units

Step-by-step explanation:

Here, The distance between two points is 3 units

<u>-TheUnknownScientist</u>

4 0
3 years ago
A baker uses 3 muffin tins for 36 muffins. How many muffin tins does she use for 60 muffins?
ser-zykov [4K]
If she used 3 for 36 we can assume the muffin tins hold 12 muffins, so we can do 60 divided by 12 to get 5!

She uses 5 muffin tins!
6 0
3 years ago
Read 2 more answers
The x intercept of f(x) =log4x is what
sergey [27]

Answer:

The Answer is 1

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
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