Using the probability concept, it is found that there is a 0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.
<h3>What is a probability?
</h3>
- A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
Researching the problem on the internet, it is found that:
- 538 seniors responded with a choice other than college.
- Of those students, 99 + 83 + 49 + 31 + 63 + 71 = 396 are not from high school b.
Hence:
0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.
You can learn more about the probability concept at brainly.com/question/26148436
the discount is 22.5 * .2 =
round 22.5 to 20
20 *.2
Choice B
Please, use parentheses to enclose each fraction:
y=3/4X+5 should be written as <span>y=(3/4)X+5
Let's eliminate the fraction 3/4 by multiplying the above equation through by 4:
4[y] = 4[(3/4)x + 5]
Then 4y = 3x + 20
(no fraction here)
Let 's now solve the system
4y=3x + 20
4x-3y=-1
We are to solve this system using subtraction. To accomplish this, multiply the first equation by 3 and the second equation by 4. Here's what happens:
12y = 9x + 60 (first equation)
16x-12y = -4, or -12y = -4 - 16x (second equation)
Then we have
12y = 9x + 60
-12y =-16x - 4
If we add here, 12y-12y becomes zero and we then have 0 = -7x + 56.
Solving this for x: 7x = 56; x=8
We were given equations
</span><span>y=3/4X+5
4x-3y=-1
We can subst. x=8 into either of these eqn's to find y. Let's try the first one:
y = (3/4)(8)+5 = 6+5=11
Then x=8 and y=11.
You should check this result. Subst. x=8 and y=11 into the second given equation. Is this equation now true?</span>
Answer:
Correct option: second one
Step-by-step explanation:
Let's check each option to find the correct one.
First option: x and y increase by 2.3 times, so the figure expands. So this is not the correct option.
Second option: x and y decrease 0.52 times, so the figure is reduced. So this is the correct option.
Third option: x and y are translated by 1/3 of their position, so the figure is not reduced.
Fourth option: x and y increase by 7/2 times, so the figure expands. So this is not the correct option.
Correct option: second one
470,925.8 in expanded form is ...
400,000 + 70,000 + 900 + 20 + 5 + 0.8
Hope this helps
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