Answer:
11pi/6 in^3 or
5.760 in^3 to the nearest thousandth.
Step-by-step explanation:
Volume of ice cream = volume of the cone + volume of the hemisphere
= 1/3 pi r^2 h + 1/2 * 4/3 pi r^3
= 1/3 pi 1^2 * 3.5 + 2/3 pi 1^3 (as the radius = 1/2 * diameter)
= (7/6 + 2/3) pi
= 11pi/6 in^3.
Hi! Let me help you!
This problem is a Venn Diagram question. It is much easier to answer this question with the visual it usually comes with. However, we can employ logic to give this one a smart and logical answer.
What we have so far:
P(A) = 25. This means that the shaded area of A is equal to 25.
P(B/A) = 920. This means that area A subtracted 25 to the value of area B which resulted to 920.
P(B) = 945. How did I arrive with 945? Simple, I just added 25 to 920. Go and be a smart lad and find why I did that.
Solution:
Solving P(A∩B) is quite challenging because like I said, a visual is needed for us to give it a pefect answer. Employing logic and using what we have so far:
If P(A∩B) means A and B intersection, we can assume that it is simply as A + B.
If that is the case, then we can simply pull out our P(A) and P(B), 25 and 945 respectively and add them:
P(A) + P(B) = P(A∩B)
P(A∩B) = 25 + 945
P(A∩B) = 970 <----- What we are looking for
Therefore, P(A∩B) = 970!
The answer is going to be 1/5. hope that helped
Answer:
The solution to that inequality is (-2,2).
Step-by-step explanation:
Given the inequality |x|<2, we have two possibilities
1) x<2 or
2) -x<2 ⇒ x> -2.
Then the intersection between solutions is (-2, 2).
Answer:
The slope is 5/3 and the y-int is -2
Step-by-step explanation:
<u>Step 1: Identify the slope
</u>
The slope is the number attached to the x. Therefore, the slope is 5/3.
<u>Step 2: Identify the y-int
</u>
The y-int is the number that is after the x
y = mx + b
Therefore, the y-int is -2
Answer: The slope is 5/3 and the y-int is -2
