Answer:
Step-by-step explanation:
1. x/10=12/15
x*15=10*12
x=10*12/15
x=2*5*3*4/5*3=8
x=8
2. x/9=8/6
x*6=9*8
x=9*8/6
x=3*3*8/3*2=24/2
x=12
Each piece must be 1/12 of the whole. They must add up to 9/8 of a meter.
(9/8 m) * (1/12) = 9 / 96 m long. But this reduces.
3 / 32 m long is lowest form of the answer
Check
If you multiply 3/32 by 12, you should get back to 9/8
3/32 * 12 = 36/32 = 9/8 which is what we tried to do.
Answer:
:=?¿ZV16
Step-by-step explanation:
Last one for sure, the others im not too sure about
Answer:
657
Step-by-step explanation:
We are told in the question that:
A university plans to award scholarships to students whose scores are in the top 7%.
The top 7% means
100 - 7% = 93%
These means the student must be in the 93rd percentile
We solve using the z score formula.
z = (x-μ)/σ, where
x is the raw score?
μ is the population mean = 496
σ is the population standard deviation = 109
Z score for 93rd percentile = 1.476
1.476 = x - 496/109
Cross Multiply
1.476 × 109 = x - 496
160.884 = x - 496
x = 160.884 + 496
x = 656.884
Approximately to the nearest whole number = 657
Therefore, the minimum score required for the scholarship 657