Answer:
The volume of the toy is
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula
In this problem, the wide of the toy is equal to the diameter of the hemisphere
so
----> the radius is half the diameter
substitute
step 2
Find the volume of the cone
The volume of the cone is given by
we know that
The radius of the cone is the same that the radius of the hemisphere
so
The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy
substitute the given values
step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so
assume
Using the normal distribution, it is found that the mean is of and the standard deviation is of .
<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.
In this problem, we have that the p-value of Z when X = 30 is of 0.1, hence, when X = 30, Z = -1.28, so:
The p-value of Z when X = 32.5 is of 0.2, hence when X = 32.5, Z = -0.84, hence:
Hence:
More can be learned about the normal distribution at brainly.com/question/27643290
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I have a lead pencil and only 2 pieces of lead left. One is 5/6 inches long and the other is 1/3 inches long. How many times longer is the 5/6 then the 1/3?
Answer:4.1
Step-by-step explanation:
c=AB
C=26°
B=122°
b=8
Using sine rule
c/sinC = b/sinB
c/sin26=8/sin122
Sin26=0.4384
Sin122=0.8480
c/0.4384=8/0.8480
Cross multiply
c x 0.8480=8 x 0.4384
c x 0.8480=3.5072
Divide both sides by 0.8480
(c x 0.8480)/0.8480=3.5072/0.8480
c=4.1
Answer:
∠A = 88°
Step-by-step explanation:
= 180° - (50° + 38°)
= 180° - 88°
= 92°
∠A + 92° = 180°
∠A = 180° - 92°
∠A = 88°