Answer:
A. Corresponding angles
Step-by-step explanation:
Answer:
3 Liters of the 85% Solution
Step-by-step explanation:
You have to draw your buckets. I can't on computer so imagine the fraction bar is the bottom of the buckets.
![\frac{85}{x}+\frac{55}{6}=\frac{65}{x+6}](https://tex.z-dn.net/?f=%5Cfrac%7B85%7D%7Bx%7D%2B%5Cfrac%7B55%7D%7B6%7D%3D%5Cfrac%7B65%7D%7Bx%2B6%7D)
Then we multiply the top of the buckets with the bottom:
85x+330=65x+390
Now we simplify and solve
20x=60
x=3
You need 3 liters of the 85% solution!
B. All rectangles are parallelograms! And C. All equilateral triangles are isosceles! :-)
Answer : 0.0129
Step-by-step explanation:
Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is
years and standard deviation is
years.
Sample size : ![n=40](https://tex.z-dn.net/?f=n%3D40)
Let X be the random variable that represents the age of fleets.
We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.
For z-score,
![z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
For x=14
![z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B14-13.4%7D%7B%5Cdfrac%7B1.7%7D%7B%5Csqrt%7B40%7D%7D%7D%5Capprox2.23)
By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-
![P(x\geq 14)=P(z\geq2.23)\\\\=1-P(z](https://tex.z-dn.net/?f=P%28x%5Cgeq%2014%29%3DP%28z%5Cgeq2.23%29%5C%5C%5C%5C%3D1-P%28z%3C2.23%29%5C%5C%5C%5C1-%200.9871262%3D0.0128738%5Capprox0.0129)
Hence, the required probability = 0.0129
Step-by-step explanation + Answer:
x = 1st job
y = 2nd job
x + y = 22......x = 22 - y
7x + 8.25y = 171.50
7(22 - y ) + 8.25y = 171.50
154 - 7y + 8.25y = 171.50
-7y + 8.25y = 171.50 - 154
1.25y = 17.50
y = 17.50 / 1.25
y = 14 <== 14 hrs at the 8.25 per hr job
x + y = 22
x + 14 = 22
x = 22 - 14
x = 8 <=== 8 hrs at the 7 per hr job