Answer:
C. 5 weeks.
Step-by-step explanation:
In this question we have a random variable that is equal to the sum of two normal-distributed random variables.
If we have two random variables X and Y, both normally distributed, the sum will have this properties:
To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:
The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:
The nearest answer is C. 5 weeks.
Answer:
16
Step-by-step explanation:
Given
C=2r and r=8
So
C=2×8 (as r=8)
C=16 (ans)
Answer:
The equation would be y = 2x + 3
Step-by-step explanation:
In order to solve this, we first need to find the slope of the line between (-2, 5) and (2, 3). In order to do this, we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (3 - 5)/(2 - -2)
m = -2/4
m = -1/2
Now that we have the original line with a slope of -1/2, we can tell a perpendicular line would have a slope of 2. This is because perpendicular lines have opposite and reciprocal slopes. Now we can use that slope and the given point in point-slope form to get the answer. Be sure to solve for y.
y - y1 = m(x - x1)
y + 7 = 2(x + 5)
y + 7 = 2x + 10
y = 2x + 3
1. --> d
2. --> b
3. --> a
4. --> c
1 is d because that is the only piece of information that sounds like a given.
2 is b because we know that from the given, m∠1 is complementary to m∠2 and in the first problem, m∠1 + m∠2 = 90, they are added together. The definition of complementary angles is "Two angles with measures that, when added together, equal 90 degrees". Same thing with m∠3 and m∠2.
3 is a because since both of the problems equal 90 degrees, you can just take away the 90 and put an equal sign in between the two problems because they equal the same thing.
4 is c because you are subtracting m∠2 from the problems and ending up with just m∠1 = m∠3.
Hope this helps! :)
Answer:
I wasn't sure how you're supposed to answer, so the answers for each scenario are in the explanation!
Step-by-step explanation:
From here, there can be a few different answers:
The exact answer is A=36π inches^2.
If you need to round, round this to wherever you need it: A=113.0973355292326... inches^2
If you're using 3.14 for pi, the answer is A=113.04 inches^2.
