Answer:
1) 287.97; 2) 75.396 [in³].
Step-by-step explanation:
1) the rule:
V=1/3 *πhr²;
2) according to the formula above:
V₁=1/3 *3.1415*11*5²=287.97 [in³];
V₂=1/3 *3.1415*8*3²=75.396 [in³].
Using the normal distribution, the areas to the left are given as follows:
a) 0.7910.
b) 0.6664.
c) 0.3707.
d) 0.8508.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X, and is also the area to the left of Z.
Hence:
- The area to the left of Z = 0.81 is of 0.7910.
- The area to the left of Z = 0.43 is of 0.6664.
- The area to the left of Z = -0.33 is of 0.3707.
- The area to the left of Z = 1.04 is of 0.8508.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
Cone
Step-by-step explanation:
Options:
a) Cone b) Cube
c) Cylinder d) Triangular prism
From the given options (a) to (d), option (a) is true.
This is so, because.
The volume (V) of a cone is:

This is as a result of dilating the cylinder by 1/3 whose volume is:

In other words:

<em>i.e. the cross-section of the cylinder (V2) being dilated by 1/3 (which is between 0 and 1) gives the cone (V1)</em>
Ummm me dont do math but i say dat it wuz a goowd numbwa 2
Answer:

combine like terms afterwards .. for the polynomial