What’s -7 1/3 divided by 1 2/9
1 answer:
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Answer:
h≈6.93 units
Step-by-step explanation:
To find the height of a cone with radius 2 units and volume of 29 cubic unit, we will follow the steps below;
first, write down the formula for finding the volume of a cone;
v=πr²
where v is the volume of the cone
r is the radius of the cone and
h is the height of the cone
From the question given, radius r = 2 units and volume v = 29 units³
π = 3.14
We can now proceed to insert the values into the formula and then solve for h
v=πr²
29 = 3.14 × 2² ×
29= 3.14 × 4 ×
29= 12.56 ×
29 =
Multiply both-side of the equation by 3
29 × 3 = × 3
At the right-hand side of the equation 3 will cancel-out 3
87 = 12.56 h
Divide both-side of the equation by 12.56
87/12.56 = 12.56 h /12.56
At the right-hand side of the equation 12.56 will cancel-out 12.56 leaving us with just h while on the left-hand side of the equation 87 will be divided by 12.56
6.926756 = h
h = 6.926756
h≈ 6.93 to the nearest hundredth
h≈6.93 units
Answer:
0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
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.
What is the probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials?
2.45 standard deviations above the mean is Z = 2.45, so this probability is the p-value of Z = 2.45.
Looking at the z-table, Z = 2.45 has a p-value of 0.9929.
0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials