Answer:

Step-by-step explanation:
<u>Surface Area</u>
The surface area of a cylinder of height h and radius r is given by:

It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:

The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.
Now we calculate the side area of the can:


We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:

The total area of the label is:

The area of the label is 
Answer:
C. 34.15 oz
Step-by-step explanation:
Problems of normally distributed samples are 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:

How heavy does a box have to be for it to be labeled overweight?
Top 5%, so X when Z has a pvalue of 1-0.05 = 0.95.
So X when Z = 1.645.




So the correct answer is:
C. 34.15 oz
Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92
where V is the volume of each sphere
Solving for V
V = 113.0973
The formula for the volume of the sphere is:
V = (4/3) π r³
Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³
Since V = 113.0937
113.0937 = (1/6) π D³
D = 6
<span>Therefore, the diameter is 6 inches </span>
Answer:
the equation for y=20=1/2
Step-by-step explanation:
y=1/4
y=0.25
Answer:
0.364
Step-by-step explanation:
3 is in the tenths place
6 is in the hundredths place
4 is in the thousandths place
so it's 0.364 because it goes up to the thousandths place