3 1/2 + 5 1/3 =
Solution
Add whole numbers together and fractions together
3 1/2 + 5 1/3 = (3 + 5) + (1/2 + 1/3)
Write fractions with the same denominator
= 8 + (3/6 + 2/6) = 8 5/6
It takes Julia 1/2 hour to wash, comb her hair and put on her clothes, and 1/4 hour to have her breakfast. How much time does it take Julia to be ready for school?
Solution
The total time for Julia to be ready for school is
1/2 + 1/4
Write fractions with the same denominator
= 2/4 + 1/4 = 3/4 of an hour.
Answer:
The required probability is 0.167
Step-by-step explanation:
Consider the provided information.
Let x be the number of breakdown per day.
A new automated production process averages 1.4 breakdowns per day.
λ=1.4
Probability of having three or more breakdowns during a day is:
![P(x\geq 3)=1-[f(0)+f(1)+f(2)]](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%3D1-%5Bf%280%29%2Bf%281%29%2Bf%282%29%5D)
The Poisson probability function is: 
Therefore the required probability is:
![P(x\geq 3)=1-[\frac{\left(1.4^{0}e^{-1.4}\right)}{0!}+\frac{\left(1.4^{1}e^{-1.4}\right)}{1!}+\frac{\left(1.4^{2}e^{-1.4}\right)}{2!}]](https://tex.z-dn.net/?f=P%28x%5Cgeq%203%29%3D1-%5B%5Cfrac%7B%5Cleft%281.4%5E%7B0%7De%5E%7B-1.4%7D%5Cright%29%7D%7B0%21%7D%2B%5Cfrac%7B%5Cleft%281.4%5E%7B1%7De%5E%7B-1.4%7D%5Cright%29%7D%7B1%21%7D%2B%5Cfrac%7B%5Cleft%281.4%5E%7B2%7De%5E%7B-1.4%7D%5Cright%29%7D%7B2%21%7D%5D)
Hence, the required probability is 0.167
<h2>
Answer:</h2>
<u>A direct variation equation is of the form y = m⋅x for some constant value m</u>.
<u>For a direct variation equation passing through</u>
(x,y) = (-11,13)
13 = m × - 11
→ m = - 13/11.
so, as y = m⋅x
y = - 13/11x
<u>Hence, the direct variation equation is [C] - 13/11x</u>.
Percent Change from 125cm to 87.5cm
% Change = (87.5 - 125) / 125 * 100%
= -37.5 / 125 * 100%
= -0.3 * 100%
= -30 %
The percent change is -30 % or 30% decrease.
