PLEASE HELP THANKS!!

Mathematics

2 answers:

mafiozo [28]3 years ago

6 0

Answer: a) x = 5 b) x = 12

Step-by-step explanation: For each one you just do the inverse to get it on the other side of the equal sign. For example x + 3 = 8 would be like this :

1. x + 3 = 8

2. x + 3 - 3 = 8 -3

( + 3 - 3 cancels out)

3. x = 5

zzz [600]3 years ago

5 0

a. x + 3 = 8

x = 8 - 3

x = 5

b. x - 5 = 7

x = 7 + 5

x = 12

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The lengths of bolts in a batch are distributed normally with a mean of 3 cm and a standard

ValentinkaMS [17]

Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

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 3 cm and a standard deviation of 0.04 cm.

This means that $\mu = 3, \sigma = 0.04$