Answer:
$40
Step-by-step explanation:
Brian starts at $100, then loses 1/4th of the money,
100/4 = 25,
then you subtract 25 from 100, which gives you 75
With the remaining $75, he spends $15 on girl scout cookies,
75 - 15 = 60
He then has $60 remaining, but while walking home, loses 1/3 of the total amount.
60/3 = 20,
you then subtract 20 from 60, which gives you 40
Therefore, $40 is what is remaining.
Answer:
482.84 cm
Step-by-step explanation:
Answer: V(X) = 0.96
Step-by-step explanation: <u>Variance</u> is defined as the average of the squared difference from the sample or population mean.
For a discrete frequency distribution is calculated following the steps:
1) Determine expected value or mean:


E(X) = 1.2
2) Multiply frequency and the squared difference of x and expected value:


3) Add them:
= 1008 + 36 + 384 + 972 = 2400
4) Divide the sum per frequency total:
![V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}](https://tex.z-dn.net/?f=V%28X%29%3D%5Cfrac%7B%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D%7D%7B%5CSigma%20f%7D)

V(X) = 0.96
The variance of the number of cups of coffee is <u>0.96</u>.
Answer:
y = 2(x+5)²- 60
Step-by-step explanation:
f(x) = ax² +bx +c, is the standard form
f(x) = a(x - h)² +k , is the vertex form where the (h, k) is the vertex
y = 2x²+20x -10 ,
factor 2 from the two terms
y = 2(x² +10x) -10,
what perfect square has x² +10x? ... x²+10x +25 = (x+5)²
y = 2(x²+10x+25 )- 50 -10,
add 25 in parenthesis to get a perfect square yet subtract 2*25 = 50 so the equation will stay the same
y = 2(x+5)²- 60,
the equation has the vertex at (-5, -60)
Answer:
SPANISH TALK ENGLISH OK
Step-by-step explanation:
OKKK