Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Answer:
A <u>z-score</u> indicates how far an individual raw score falls from the mean of a distribution; the <u>standard deviation</u> indicates how the scores in general scatter around the mean.
Step-by-step explanation:
We have been given an incomplete statement. We are supposed to complete the given statement.
We know that z-score of a data set indicates that a sample score or raw score is how many standard deviation away from the mean. Z-score indicates the distance of a raw score is above or below mean in units.
Therefore, the correct word for 1st blank would be "z-score".
We also know that standard deviation represents the variation of a data set. It tells that data points of a data set are how much close or away from mean of the data set.
Therefore, the correct word for 2nd blank would be "standard deviation".
Y = 42.5x + 45.....for 5 hrs.....x = 5
y = 42.5(5) + 45
y = 212.50 + 45
y = 257.50 <===
Answer:
w= 150
x= 60
because when two pentagons are similar corresponding angles are congruent .
Step-by-step explanation:
Ok to figure it out you first find the common factor, which is 12
so the fractions become 8 3/12 and 10/12 then you subtract those 2,
8 3/12-10/12 is 7 5/12.
Hope That Helps!!!