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
and standard deviation
, the z-score of a measure X is given by:

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 
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So



has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Answer:
1/4
Step-by-step explanation:
because you basically divided by two on
Answer:
3m/s
Step-by-step explanation:
Your welcome
Simplify in Math, like in English, means to make as simple as possible - as "down to the roots as possible".
In the example = 36 + 10 . To simplify fully would be = 46 since that is as simple as it gets.
In algebra, to simplify fully might involve 14 = 2x, where to simplify fully would be to find x (x = 7)
Answer:
Option D, 15 and 10
Step-by-step explanation:
<u>Step 1: Convert the words into an expression</u>
A number is 5 less than 2 times another number. Their sum is 25.
<em>2x - 5 = 25</em>
<em />
<u>Step 2: Solve for x</u>
2x - 5 + 5 = 25 + 5
2x / 2 = 30 / 2
<em>x = 15</em>
<em />
Answer: Option D, 15 and 10