Bald-faced hornets have a hive that is approximately cone-shaped, as shown in the image. One such hive has a radius of 15 inches
1 answer:
Answer:
Volume of the hive is 4712.4 square inches.
Step-by-step explanation:
Since hive has the shape of a cone with radius = 15 inches and height = 20 inches
Therefore, volume of the given cone =
Area of the circular base = πr²
Area = π(15)²
= 225π
Volume of the cone =
= 1500π
= 4712.39
≈ 4712.4 square inches
Therefore, volume of the hive is 4712.4 square inches.
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We have the following:
replacing:
Answer: B. x = 40
Step-by-step explanation:
The angles given are supplementary.
Supplementary angles are any two angles that add to 180 degrees, most commonly seen on one side of a straight line.
As these angles are supplementary, we can solve for x by adding both angles to get 180:
This means that the angle on the left is (3*40) + 15, or 135 degrees, while the angle on the right is 45 degrees. These angles add to 180 degrees.
The correct answer choice is B.
Answer: a) 0.545,b) 0.41, c) 0.045, d) not possible.
Step-by-step explanation:
The Sky Ranch is a supplier of aircraft parts. Included in stock are 10 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected without replacement. Let the random variable
x represent the number that are not correctly calibrated.
Complete the probability distribution table.
x={0,1,2,3}
P(x=0)=?
P(x=1)=?
P(x=2)=?
P(x=3)=?
Since we have given that
n = 12
number of good one = 3 from 10
number of bad one = 2
So, P(X=0)=
P(X=1) =
P(X=2)=
P(X=3) is not possible.
Hence, a) 0.545,b) 0.41, c) 0.045, d) not possible.