Answer:
The surface area is divided by 4.
Step-by-step explanation:
Surface area of a sphere is 4πr².
When the diameter is 28 the radius is 14. So: 4π(14)² = 784π
If you cut the diameter in half you get 14. The radius is now 7.
4π(7)² = 196π.
784/4 = 196 so divided by 4.
Solving the rational equation
the value of x is 7
Step-by-step explanation:
We need to solve rational equation:
and find value of x.
Solving:

Cross multiplying:

So, value of x = 7.
Solving the rational equation
the value of x is 7
Keywords: Solving the rational equation
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Answer:
a
Step-by-step explanation:
Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645




Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645




Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Answer:
I used Desmos. Heres a picture of what its supposed to look like.
Step-by-step explanation: