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Lorico [155]
3 years ago
6

The lifetime of a 2-volt non-rechargeable battery in constant use has a Normal distribution with a mean of 516 hours and a stand

ard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than 541.60 hours.

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

Answer:

True

Step-by-step explanation:

Data

mean (\mu) = 516 hours

standard deviation (\sigma) = 20 hours

expected lifetime (X) = 541.6 hours

In the figure attached, standard normal distribution table can be seen. Z is computed as follows:

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

Z = \frac{541.6 - 516}{20}

Z = 1.28

In table can be seen that the area between 0 and 1.28 is 0.3997, or simply 0.4. The area until Z = 0 is 0.5; so, the total area until Z = 1.28 is 0.9. That means 90% of batteries would have 541.6 lifetime hours.

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6 0
3 years ago
A produce supplier ships boxes of produce to individual customers. The distribution of weights of shipped boxes is approximately
schepotkina [342]

Answer:

0.67(4)+ 36

Option D

Step-by-step explanation:

Given that a producer ships boxes of produce to individual customers.(say x)

X is a normal random variable with mean = 36 and std dev  =4 lbs

By definition of std normal variate we know that

\frac{x-36}{4} is N(0,1)

75th percentile of std normal distribution is

0.675

Hence corresponding x would be

36+0.675(4)

Option D matches with this value

Hence answer is option D

0.67(4)+ 36

5 0
3 years ago
Read 2 more answers
HELP! What is the measure of angle 5? WILL GIVE BRAINLIEST!
Volgvan

Answer:

142 degrees

Step-by-step explanation:

38 degrees and measure of angle 2 are same side interior angles so then measure of angle 2 is 38. Then I did 180-38 which is the answer 142 degrees.

5 0
3 years ago
Which expression is equivalent to the expression below?<br><br> 2.1 + (–3.7h) + 1.9h – 1.4
PtichkaEL [24]

Answer:

Idk if this is an option but 0.7-1.8h

Step-by-step explanation:

In this equation, to simplify, you can add like terms. You would do 2.1-1.4 and (-3.7h)+1.9h. When you do the math, you get 0.7-1.8h. Always look out for like terms! Hope this Helps!

6 0
4 years ago
There is enough information to prove that triangles tno and gcm are congruent. true false
Hatshy [7]

False,  there is not enough information provided to Prove that both the triangles are congruent.

<h3>What is the congruent triangle?</h3>

Triangles have three sides and three angles, as we discovered in pre-algebra. We also discovered that a triangle's total angle is 180 degrees.

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.

Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.

These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.

If we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle, then these two triangles are probably congruent.

When two angles and a non-included side in one triangle are congruent to the corresponding angles and side of another triangle, we are left with the final scenario that results in congruent triangles.

The given data doesn't satisfy any of the conditions.

Hence, there is not enough information provided to Prove that the two triangles are congruent.

To learn more about the, congruent triangle visit:

brainly.com/question/12413243

#SPJ4

5 0
2 years ago
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