Answer:
F(2, 11/2)
Step-by-step explanation:
The expression:
(x-2)² = 10(y - 3)
can be rewritten in the vertex form as follows:
(x-2)² = 10y - 30
(x-2)² + 30 = 10y
1/10(x-2)² + 3 = y
General vertex form is:
y = a(x-h)² + k
then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and <em>a </em>= 1/10
The focus of a parabola is located ar F(h, k+p), where <em>p</em> = 1/(4a). Replacing into these equations:
p = 1/(4*1/10) = 5/2
F(2, 3+5/2) = F(2, 11/2)
Answer:
The minimum sample needed to provide a margin of error of 3 or less is 52.
Step-by-step explanation:
The confidence interval for population mean (<em>μ</em>) is:

The margin of error is:

<u>Given:</u>
MOE = 3
<em>σ </em>= 11
The critical value for 95% confidence interval is: 
**Use the <em>z</em>-table for critical values.
Compute the sample size (<em>n</em>) as follows:

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.
Answer:
6(a)+14
Step-by-step explanation:
First you need to find f(a) and f(2) separately, then add them together after
f(a) = 6(a)+1
f(2) = 6(2)+1 = 12+1 = 13
so f(a)+f(2) = 6(a)+1+13 = 6(a)+14
Answer:
Type A coffee in lbs = 97 lbs
Step-by-step explanation:
Type a = 4.55/lbs = x
type b = 5.70/lbs = y
Total in lbs = 147lbs
total in sales = 726.50
First,
x + y = 147 lbs -------------------equ 1
4.55x + 5.70y = lbs ------------ equ 2
<em>Multiply equ 1 by 4.55</em>
4.55x + 4.55y = 668.85 -------------equ 3
4.55x + 5.70y = 726.50 ------------equ 4
<em>Subtracting equ 3 from equ 4</em>
1.15y = 57.65
y = 50
<em>Substituting y = 50 into equ 1</em>
x + 50 = 147
x = 97
Answer:
18 gallons
Step-by-step explanation:
1/6 of container is 3 gallons
so 6/6 is 18 gallons
Hope this helps. Pls give brainliest.