A.
Let x = age of Samantha.
Then x - 2 = age of Emily,
and x + 2 = age of Lauren.
b.
x - 2 + x + x + 2 = 42
c.
x - 2 + x + x + 2 = 42
3x = 42
x = 14
x - 2 = 14 - 2 = 12
x + 2 = 14 + 2 = 16
The ages of the sisters are 12, 14, 16.
Answer:
f(7) = 158
Step-by-step explanation:
To evaluate f(7) substitute t = 7 into f(t)
f(7) = 3(7)² + 11 = (3 × 49) + 11 = 147 + 11 = 158
Answer: 4.25 pound of meat
Step-by-step explanation:
This is a addition questions, all you have to do is to add the numbers together. But you have to convert all the fractions and decimal to the same thing first. In this case, I'll convert all the fraction to decimal.
2.42 + 0.75 + 0.36 ✕ 3 = 4.25 pound
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.
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(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,
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.
Let's solve your inequality step-by-step. <span><span><span>−<span>5x</span></span>+20</span><5</span>
<span />Step 1: Subtract 20 from both sides. <span><span><span><span>−<span>5x</span></span>+20</span>−20</span><<span>5−20</span></span><span><span>−<span>5x</span></span><<span>−15</span></span>
<span><span /></span>Step 2: Divide both sides by -5.<span><span><span><span><span> −<span>5x</span></span><span>−5</span></span></span></span><<span><span><span><span>−15</span><span>−5</span></span></span></span></span><span>x>3</span>
Answer: <span>x><span>3</span></span>
