First find the volume of the cylinder.
The formula is: V=πr²h
Plug the numbers in the figure into the formula.
V=πr²h
V=π×3²×10
V=π×9×10
V=π90
V=282.743
Therefore, the volume of the cylinder is approximately 282.7in³
Find the volume of the rectangluar prism.
V=lwh
V=12×7×4
V=84×4
V=336
Therefore, the volume of the rectangular prism is 336in³
Add the volumes:
282.7+336=618.7
The volume of the composite solid is approximately 618.7in^3
Answer:
4/52 or 1/13
Step-by-step explanation:
In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.
There are 4 kings, 4 queens, 4 aces, and 4 jacks.
So the probability of drawing a king would be:
4/52 = 1/13
Answer:
Therefore, the solution is:
Step-by-step explanation:
We calculate the given integral. We use the substitution t = 7x.
Therefore, the solution is:
They are all like-terms so you can add 7y+3y which equals 10y. Then subtract 10y-17y and you get a negative number; -7y
<h3>
Answer: B) The time to complete a specific task.</h3>
For any two different time values, it is possible to find the midpoint or average of them. For instance, if it takes 10 minutes to do the task on Monday, and then 11 minutes to do the task on Tuesday, then it takes (10+11)/2 = 21/2 = 11.5 minutes to do the task on average. Because we are able to find a midpoint like this, and a decimal midpoint makes sense, this means time is a continuous variable.
In contrast, the number of new hires must be a whole number. If we had 10 hires on Monday and 11 hires on Tuesday, then it doesn't make sense to say we hired 11.5 people. So choice A is ruled out. Similar situations play out with choices C and D, which is why we can rule those out too. Choices A, C and D are discrete variables.
