The general equation is y-k=a(x-h)² where (h,k) is the vertex.
So in this case we have y+12=a(x+6)².
Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².
Answer: x=90
Step-by-step explanation:
because the range is 8, and the highest value in the data set is 98, x must equal 96
First, find the actual difference / spread between the buy and sell rates:
$0.7714 - $0.7621 = $0.0093.
To find the percentage, we need to divide either given amount ($0.7621 or $0.7714) and to multiply the result by 100%:
($0.0093 / $0.7714) * 100% = 1.21%
1280 students
53%
This is the answer to the question
Answer:
66.28% of students study more than 8 hours
Step-by-step explanation:
The percent of students study more than 8 hour can be calculated as
P(X>8)=?
P(X>8)=P((X-mean)/sd>(8-9.92)/4.54)
The calculated z-score is -0.42.
P(X>8)=P(Z>-0.42)
P(X>8)=P(0<Z<-0.42)+P(0<Z<∞)
P(X>8)=0.1628+0.5=0.6628.
Thus, 66.28% of students study more than 8 hours.