A quickie. If n identical dice are rolled, number of possible outcomes are?

1 answer:

4 0

In rolling one die, there are 6 possible outcomes because each die has 4 faces. The number of outcomes when rolling n dice is equal to 6^n. By this, the number of outcomes when 2 dice are rolled is 36, 216 for 3 dice, and so on.

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The mean temperature for the first 4 days in January was 8°C. The mean temperature for the first 5 days in January was 7°C. What

ahrayia [7]

Answer : The 5th day = 3 Celsius

Explanation:
the average of the first 4 day is 8
Which mean the combine temp on the first 4 day is 8 x 4 = 32

Now on the first 5 day the average temp is 7

Then the combine temp on the first 5 day is 7 x 5 = 35

Find the 5th day

4 days combine temp + 5th day = the combine temp of 5 days

32 + 5th day = 35
5th day = 35-32
5th day temp = 3C

3 0

3 years ago

A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim

Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 14$