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Mkey [24]
3 years ago
7

Find the value of x to the nearest degree.

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0
I believe it’s D sorry if I’m wrong
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A battery has a lifetime that is approximately normally distributed with a mean of 600 hours and a standard deviation of 50 hour
miss Akunina [59]

Answer:

A. Your battery is likely defective since such poor performance is extremely unlikely.

Step-by-step explanation:

When the distribution is normal, we use 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.

If X is more than two standard deviations from the mean, it is considered an unlikely outcome.

In this question, we have that:

\mu = 600, \sigma = 50

Which of the following conclusions is the most appropriate given this information?

Lasted 400 hours, so X = 400.

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

Z = \frac{400 - 600}{50}

Z = -4

4 standard deviations from the mean, so unlikely.

So the correct answer is:

A. Your battery is likely defective since such poor performance is extremely unlikely.

3 0
2 years ago
Please what is the answer for <br> 2:3q+1:4q=20
zhuklara [117]

Answer: Q=240/11

Step-by-step explanation:

3 0
3 years ago
a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is
nekit [7.7K]

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = \frac{adjacent}{hypotenuse} = \frac{12}{l} ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = \frac{12}{cos70} ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

4 0
3 years ago
What is the area of the following trapezoid?<br> 13.5 yd 2<br> 3.38 yd 2<br> 6.75 yd 2<br> 8.25 yd 2
Neporo4naja [7]

Answer:

area =  \frac{a + b}{2} h \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =  \frac{2 + 7}{2}  \times 1.5 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 6.75 {yd}^{2}

8 0
3 years ago
What graph is correct?​
Gekata [30.6K]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
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