Answer:
Use pythagorean theorem.
Step-by-step explanation:
The length of the shorter sides are 1 & 4
1^2+4^2=c^2
1+16=c^2
17=c^2
So, the length, rounded to the nearest whole inch, would be 4.
To find the perimeter, you need to find the side lengths first.
The short sides are 6 & 7.
6^2+7^2=c^2
36+49=c^2
85=c^2
So the length for that would be 8, in the nearest whole number.
Add all of the side lengths together.
6+7+8= 21
The perimeter is 21.
Answer:
B = R - M
Step-by-step explanation:
1. R = M + B Subtract M
2. R - M = B
A = event the person got the class they wanted
B = event the person is on the honor roll
P(A) = (number who got the class they wanted)/(number total)
P(A) = 379/500
P(A) = 0.758
There's a 75.8% chance someone will get the class they want
Let's see if being on the honor roll changes the probability we just found
So we want to compute P(A | B). If it is equal to P(A), then being on the honor roll does not change P(A).
---------------
A and B = someone got the class they want and they're on the honor roll
P(A and B) = 64/500
P(A and B) = 0.128
P(B) = 144/500
P(B) = 0.288
P(A | B) = P(A and B)/P(B)
P(A | B) = 0.128/0.288
P(A | B) = 0.44 approximately
This is what you have shown in your steps. This means if we know the person is on the honor roll, then they have a 44% chance of getting the class they want.
Those on the honor roll are at a disadvantage to getting their requested class. Perhaps the thinking is that the honor roll students can handle harder or less popular teachers.
Regardless of motivations, being on the honor roll changes the probability of getting the class you want. So Alex is correct in thinking the honor roll students have a disadvantage. Everything would be fair if P(A | B) = P(A) showing that events A and B are independent. That is not the case here so the events are linked somehow.
<h2>○=> <u>Correct answer</u> :</h2>
of the drink is fruit juice
<h3>○=> <u>Steps to derive correct answer</u> :</h3>
Quantity of water in a drink = 650 ml
Quantity of fruit juice in a drink = 150 ml
Total quantity of both items in the drink :
Thus, the total quantity of both items in the drink = 800 ml
Let the percentage of of fruit juice in the drink be x%.
Which means :
Then, the percentage of water in the drink :
Thus, the percentage of water in the drink = 81.25%
<h3>○=> <u>Therefore</u> :</h3>
▪︎Percentage of fruit juice in the drink = 18.75%
▪︎Percentage of water in the drink = 81.75%
Answer:
x = 3
Step-by-step explanation:
4 + 12.5 > 11x - 3.5 - 2x
16.5 = 5.5x
16.5/5.5 = x
