Answer:
radius=11.5
diameter=23
Step-by-step explanation:
The volume of a sphere is V=4/3 Pi r^3
We can use this to solve for the radius.
555.4= 4/3 (3.14)r^3
Solve for r how you would any other equation. Multiply 4/3 and 3.14.
555.4=4.187 r^3
Divide both sides by 4.187
132.65=r^3
To get rid of the ^3, find the cube root of both sides on a calcualtor.
r= 11.5
The diameter is the radius time two.
11.5 (2)=23.
Hope this helps!
Note: When I say both sides, I mean both sides of the = sign.
Answer:
Heights of 29.5 and below could be a problem.
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.
The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.
This means that 
There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.
Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus


Heights of 29.5 and below could be a problem.
Answer:

Step-by-step explanation:

We will start by using the quadratic formula.

We will simplify that and get:

So our answers would be:

2(4x+5)>7x+20 perform indicated multiplication on left side
8x+10>7x+20 subtract 7x from both sides
x+10>20 subtract 10 from both sides
x>10
or in interval notation, x=(10, +oo)
Answer:
Step-by-step explanation:
0.2x + 2.7x - 8.1 = 6.9 + 1.1x
0.2x + 2.7x - 1.1x = 6.9 + 8.1
1.8x = 15
x = 15/1.8
x = 8.33