Answer:
decrease by 50%
Step-by-step explanation:
Decreased by 60% = (100%-60%)x = 0.4x.
Decreased by 20% = (100%-20%)x = 0.8x.
initial fraction, and we can see that denominator will increase 2 times, so fraction will decrease 2 times, or decrease by 50%.
Answer:
Ava's share = $20
Charlotte's share = $16
Step-by-step explanation:
15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36
27x = 36 : add x terms
x = 36 / 27 : divide both sides of equation by 27
x = 4 / 3
Ava's share = 15x = 15 * 4/3 = 20
Charlotte's share = 12x = 12 * 4/3 = 16
Answer:
Hello! Your answer is 71.
Step-by-step explanation:
(48+59+62+71) =240
240 ÷ 4 = 60.
The 4 is the four different points he got.
The 60 is the average percent.
HOPE THIS HELPS!
Answer:
40
Step-by-step explanation:
FAC = FAE + EAD +CAD
We know FAC = 180 and CAD = 50 and EAD = 90
180 = FAE + 90 +50
Combine like terms
180 = FAE + 140
Subtract 140 from each side
180-140 = FAE +140-140
40 = FAE
Answer: 3.712 hours or more
Step-by-step explanation:
Let X be the random variable that denotes the time required to complete a product.
X is normally distributed.
![X\sim N(\mu=3.2\text{ hours},\ \sigma=0.4\text{ hours} )](https://tex.z-dn.net/?f=X%5Csim%20N%28%5Cmu%3D3.2%5Ctext%7B%20hours%7D%2C%5C%20%5Csigma%3D0.4%5Ctext%7B%20hours%7D%20%29)
Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.
Then, ![P(\dfrac{X-\mu}{\sigma}>\dfrac{x-\mu}{\sigma})=0.10](https://tex.z-dn.net/?f=P%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%29%3D0.10)
![P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]](https://tex.z-dn.net/?f=P%28z%3E%5Cdfrac%7Bx-3.2%7D%7B%5Csigma%7D%29%3D0.10%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D)
As,
[By z-table]
Then,
![\dfrac{x-3.2}{0.4}=1.28\\\\\Rightarrow\ x=0.4\times1.28+3.2\\\\\Rightarrow\ x=3.712](https://tex.z-dn.net/?f=%5Cdfrac%7Bx-3.2%7D%7B0.4%7D%3D1.28%5C%5C%5C%5C%5CRightarrow%5C%20x%3D0.4%5Ctimes1.28%2B3.2%5C%5C%5C%5C%5CRightarrow%5C%20x%3D3.712)
So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.