Answer: 17
Step-by-step explanation: have a great day <3
Answer:
7.2 feet
Step-by-step explanation:
The volume of a sphere is V = . In simple terms, you're cubing the radius, multiplying it to pi, and then multiplying 4/3.
Using the formula, we cube the radius of 1.2 feet.
1.2 x 1.2 x 1.2 = 1.728
Then, you multiply 1.728 with pi.
1.728 x = 5.42867210
Afterwards, you multiply 5.42867210 with .
5.42867210 x = 7.23822946667
Since the instructions say to round the nearest tenth, it becomes 7.2 feet.
Answer:
The middle 90% of all freshman biology majors' GPAs lie between 2.31 and 3.43.
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 2.87 and standard deviation .34.
This means that
Middle 90% of scores:
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile.
5th percentile:
X when Z has a pvalue of 0.05. So X when Z = -1.645.
95th percentile:
X when Z has a pvalue of 0.95. So X when Z = 1.645.
The middle 90% of all freshman biology majors' GPAs lie between 2.31 and 3.43.
Answer: (6,-3)
Explanation:
(1) 2
x-3y=21
(2) y
=
3
−
x
Substituting eq 2 in eq 1
2
x
−
3
(
3-x)=21
2
x-9+3x=21
5
x
−
9
=
21
5
x
=
30
x
=
6
Put x=
6 in eq 2 we get,
y
=3
−
6
y
=
−
3
Solution : (
6
,
−
3
)