Side length of 216 cubic yards
2 answers:
Answer:
6 yards
Step-by-step explanation:
The volume of a cube can be found using the following formula.
We know the volume is 216 cubic yards, so we can substitute 216 yd³ in for v.
We want to find the side length. Therefore, we must isolate the variable, s, on one side of the equation.
s is being cubed. The inverse of cubed is the cube root. Take the cube root of both sides of the equation.
The side length of the cube is 6 yards.
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Answer:
0.281 = 28.1% probability a given player averaged less than 190.
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.
A bowling leagues mean score is 197 with a standard deviation of 12.
This means that
What is the probability a given player averaged less than 190?
This is the p-value of Z when X = 190.
has a p-value of 0.281.
0.281 = 28.1% probability a given player averaged less than 190.
Answer:
Change in sulfur oxide in the air =
Step-by-step explanation:
Data provided in the question:
Relation between the amount of sulfur oxide in the air and the population as:
S² = 110P² + 20P + 600
Population growth rate, = 10 people per month
Now,
change in sulfur oxide with time i.e
differentiating the given relation with respect to time 't'
we have
=
+ 20
at P = 100 and = 10 people per month
we have
= 2 × 110 × 100 × 10 + 20
or
= 220020
or
=
or
Change in sulfur oxide in the air =