Answer:
98.19
Step-by-step explanation:
Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h
Answer:
Red: 1/5 or 0.2 or 20% (depends if the question asked you to give the answer in fraction/decimal/percentage. Either way, it's still correct)
Black: 0
Blue: 2/5 or 0.4 or 40%
Step-by-step explanation:
In total, the bag contains 10 balls,
- There are no black marbles so you have 0 chance of pulling them out.
Answer:
0.375 cups or 3/8
Step-by-step explanation:
divide 3/4, or 0.75 by 2!
Answer:
The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month
P(X≥ 2800) = P(Z₁≥1.5) = 0.0768
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Mean of the Population (μ) = 2500 gallons
Standard deviation of the population (σ) =200 gallons
Let 'X' be a random variable in Normal distribution
Given X = 2800

<u><em>Step(ii):-</em></u>
The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month
P(X≥ 2800) = P(Z₁≥1.5)
= 0.5 - A(Z₁)
= 0.5 - A(1.5)
= 0.5 -0.4232 ( from normal table)
= 0.0768
<u><em>Conclusion</em></u>:-
The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month
P(X≥ 2800) = P(Z₁≥1.5) = 0.0768
Answer:

Step-by-step explanation:
We are given that:

Where A and B are positive acute angles.
And we want to find cos(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:

Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:

In summary:
With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.
With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.
We can rewrite our expression as:

Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:

Simplify:
