Answer:
If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is
Use following formulas to determine volumes of sphere and cylinder:
wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.
Then
Answer 1: correct choice is C.
If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So
R'=2R, r'=2r, h'=2h.
Write the new fask volume:
Then
Answer 2: correct choice is D.
Step-by-step explanation:
Multiply both sides by 45
40=1350+a
Subtract 1350 from both sides, get answer
-1310=a
Answer:
B
Step-by-step explanation:
I think the answer is bbecause for perimeter you just add all the sides up. so you would add 8+8 or 8x2 which would be 16 and 3x2 or 3+3 which is 6. Then you add the two roducts you got together to find the final sum added together which would be 22.
6x^2 +30x - 36
6( x^2 +5x -6)
6(x^2 -x+6x-6)
6[ x(x-1) 6(x-1)]
(x-1) (x+6)
We know that the probability of picking a nervous person is 0.2. This implies that the probability of picking someone who is not nervous is 0.8.
When we pick a sample of two people, we multiply the probabilities of each single person. So, the possible outcomes and their respective probabilities are:
- Both people not nervous:
- First person nervous, second person not nervous:
- First person not nervous, second person nervous:
- Both people nervous:
Out of these four scenarios, the last three correspond to the description "at least one of the two is nervous". So, we have to sum their probability:
Alternatively, and probably more easily, we could solve this problem by complementary probability: we know that if event has probability , then the negation of has probability .
So, the negation of "at least one person is nervous" is "none of the two is nervous". We know that the probability of "no nervous people" is 0.64 (see above), so the probability of its negation (at least one nervous) is