Let
x--------------> the third stone measure
we know that
the recommended height for the bench is ------> 20 in
20=[4 3/8]+[4 1/2]+[5 1/4]+[x]
4 3/8---------> (4*8+3)/8=35/8
4 1/2---------> (4*2+1)/2=9/2
5 1/4---------> (5*4+1)/4=21/4
20=[35/8]+[9/2]+[21/4]+[x]
<span>x=20-(35/8)-(9/2)-(21/4)</span>
x=20-(35+4*9+2*21)/8----->
20-113/8------- > (8*20-113)/8
x=47/8----------
> 5.875=5 7/8
<span>
<span>the
answer is 5 7/8 in</span></span>
The probability notation for the probability of choosing a green marble is P(G)
<h3>What is probability?</h3>
This is simply defined as the extent to which something is likely to occur.
The probability that an event will occur is given as the ratio of the number of favorable outcomes to the total number of outcomes.
<h3>How to determine the probability notation</h3>
Probability notation is a symbol used in indicating the probability of an occurring event. Since our focus is on the probability of obtaining a green marble, then the probability notation will be P(G). This is illustrated below:
- Event of green marble = nG
- Total event = nT
- Probability of green marble = P(G)
P(G) = nG / nT
Learn more about probability:
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Answer:
Step-by-step explanation:
Hope this helps!
This may or may not be right.
You know that they are a graduate, and the total number of graduates are 2610.
The amount of graduates receiving financial aid is 1879.
The probability that a graduate student is on financial aid is: 1879/2610 = 0.7199 or 72%
Answer:
Step-by-step explanation:
You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic
using (0, 7):
gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):
and
so
12 = 4a - 2b
Now for the next point (-1, 12):
and
so
5 = a - b
Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:
12 = 4a - 2b
5 = a - b
Multiply the bottom equation by -4 to get a new system:
12 = 4a - 2b
-20 = -4a + 4b
Add those together to get rid of the a terms and end up with
-8 = 2b so
b = -4
Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:
5 = a - (-4) and
5 = a + 4 so
a = 1 and the equation for the quadratic function is
