Centimeters might be easier because they can be much more precise than inches when there isn't an ideal length. Kilometers might be easier because it would not require such large numbers to work with.

Step-by-step explanation:

5 0

3 years ago

What are all the fractions are equivalent to 4/12

GarryVolchara [31]

The answers are 1/3, 2/6, 3/9, 4/12

5 0

2 years ago

Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont

solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that $\mu = 36, \sigma = 2$

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

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

$-2.054 = \frac{X - 36}{2}$

$X - 36 = -2.054*2$

$X = 31.89$

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0

2 years ago

Please answer this correctly

Sav [38]

Answer:

The range would not change

Step-by-step explanation:

If we replaced one of the 7s with a 5, we still have a 7. The range will be the highest number minus the lowest number (7 - 1 = 6). So the range would still not change because we still have another 7.

6 0

3 years ago