Answer:
0.375
Step-by-step explanation:
Given that F is the event that a student is enrolled in a finance course, and let S be the event that a student is enrolled in a statistics course.
It is known that 40% of all students are enrolled in a finance course and 35% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and finance.
P(F) = 0.40: P(S) = 0.35: P(FS) = 0.15
A student is randomly selected, and it is found that the student is enrolled in finance.
Probability that this student is also enrolled in statistics/ student is enrolled in finance.
= 
(Using conditional probability formula)
Let's simplify step-by-step.<span><span><span><span><span>8<span>x4</span></span><span>y3</span></span>+<span><span>4<span>x3</span></span><span>y2</span></span></span>−<span><span>2<span>x2</span></span>y</span></span>−<span><span>12<span>x2</span></span><span>y4</span></span></span><span>=<span><span><span><span><span><span><span>8<span>x4</span></span><span>y3</span></span>+<span><span>4<span>x3</span></span><span>y2</span></span></span>+</span>−<span><span>2<span>x2</span></span>y</span></span>+</span>−<span><span>12<span>x2</span></span><span>y4</span></span></span></span>Answer:<span>=<span><span><span><span><span>8<span>x4</span></span><span>y3</span></span>−<span><span>12<span>x2</span></span><span>y4</span></span></span>+<span><span>4<span>x3</span></span><span>y2</span></span></span>−<span><span>2<span>x2</span></span><span>y</span></span></span></span>
First we need to find the heigh of the soda can be rearanging the volume formula,
. We can make that
We know that V is 36 and radius is half of the diameter, so radius is 2.
h = 2.87
Now, we can use the height to figure out the volume of a cone. The volume of a cone is
R is 2 again and h is 2.87
12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
Answer:
The constant rate of proportionality is r = 0.2
Step-by-step explanation:
We have an equation in the following format:
y = rx
In which r is the constant rate of proportionality.
To find r, we find a pair of x and y and replace.
8|1.6
This means that when x = 8, y = 1.6. So
y = rx
1.6 = 8r
8r = 1.6
r = 1.6/8
r = 0.2
The constant rate of proportionality is r = 0.2
Rememeber thath you can do anything to an eqation as long as you do it to both sides
12a-7+12a=13
add like terms
24a-7=13
add 7 to both sides
24a=20
divide both sides by 24
a=20/24
a=5/6
