Answer:
41
Step-by-step explanation:
(2/5) x - 8 = 9 - ( 3/5 )
First you need to multiply everything with inversely proportional number of 2/5 to get x alone.
(2/5) x - 8 = 9 - ( 3/5 ) / × 5/2
x - (8 × 5/2) = 9 × 5/2 - (3/5 × 5/2)
x - 40/2 = 45/2 - 15/10
Now you switch 40/2 on the other side, but when you do this, you need to change it's sing (minus to plus). We do that so x can be alone on one side.
x = 45/2 - 15/10 + 40/2, contracted, it look like this:
x = 22,5 - 1,5 + 20
and x = 41
Step-by-step explanation:
26=r+10
subtract 10 from both sides
26-10=16. 10-10=0
16=r
Answer: Our required percentage would be 57%.
Step-by-step explanation:
Since we have given that
Probability of applicants with a Math SAT of 700 or more were admitted = 34%= P(A|E)= 0.34
Probability of applicants with a Math SAT of less than 700 were admitted = 16% = 0.16 = P(A|E')
Probability of all applicants had a Math SAT score of 700 or more = 38% = 0.38=P(E)
Probability of all applicants had a Math SAT score of less than 700 = 100-38=62% = 0.62=P(E')
So, using Bayes theorem, we get that
Probability of admitted applicants had a Math SAT of 700 or more P(E|A) is given by
![\dfrac{P(E).P(A|E)}{P(E).P(A|E)+P(E').P(A|E')}\\\\=\dfrac{0.38\times 0.34}{0.38\times 0.34+0.62\times 0.16}\\\\=0.57\\\\\approx 57\%](https://tex.z-dn.net/?f=%5Cdfrac%7BP%28E%29.P%28A%7CE%29%7D%7BP%28E%29.P%28A%7CE%29%2BP%28E%27%29.P%28A%7CE%27%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7B0.38%5Ctimes%200.34%7D%7B0.38%5Ctimes%200.34%2B0.62%5Ctimes%200.16%7D%5C%5C%5C%5C%3D0.57%5C%5C%5C%5C%5Capprox%2057%5C%25)
Hence, our required percentage would be 57%.
hi <3
area = length x width
substitute the values in:
7426 = length x 79
rearrange to get the answer:
length = 94 cm
hope this helps :)