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:
x=1
Step-by-step explanation:
5x-(x+1)=5-2x
distribute
5x-x-1 = 5-2x
4x-1 = 5-2x
add 2x on each side
4x-1+2x = 5-2x+2x
6x -1 = 5
add 1 on each side
6x-1+2 = 5+1
6x = 6
divide by 6
6x/6 = 6/6
x = 1
Answer:
y = 3x -5
Step-by-step explanation:
6x - 2y = 10
-6x. -6x
Inverse Operations
-2y = -6x + 10
÷-2. ÷-2. ÷-2
y = 3x - 5
Answer:
Lon's Lawns
Step-by-step explanation:
32X9=288
25X10+50=300
Answer:
D. 116
Step-by-step explanation:

V = (1/3)π(4)²(6.9)
V = 36.8π
V ≈ 115.55
<em>Note: You will NEVER use slant height to calculate the area, only to calculate the normal height if unknown. In this problem, we did not use it at all so try not to get confused!</em>
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<h2>BRAINLIEST please if this helped!</h2>