Answer:
D
Step-by-step explanation:
A P E X
The vertex of this parabola has coordinates (1,-1).
The axis symmetry goes trough the vertex. The equation of the axis of symmetry is x=1.
<u>Answer</u>
C. 16 feet
<u>Explanation</u>
The area of a circle is given by the formula:
Area = πr² Where r is the radius of the circle and π = 3.1416
201.0624 = 3.1416 × r²
r² = 201.0624/3.1416
= 64
r = √64
= 8 feet
Diameter is twice the radius.
∴ diameter = 2r
= 2 × 8
= 16 feet
Answer:
The sample proportion
is within 0.03 of the true proportion of customers who are under age 21 is 0.803
Step-by-step explanation:
Total no. of customers = n = 400
We are given that the true population proportion of customers under age 21 is 0.68.
So, p =0.68
q=1-p=1-0.68=0.32
Standard deviation =
We are supposed to find the probability that the sample proportion
is within 0.03 of the true proportion of customers who are under age 21 that is , what is the probability that
is between 0.68 - 0.03 and 0.68+ 0.03

Using Z table

Hence the sample proportion
is within 0.03 of the true proportion of customers who are under age 21 is 0.803
2. Use the second equation (for y) to substitute into the first.
.. x +(2x +4) = 7
.. 3x +4 = 7 . . . . . collect terms
I know you can solve it from there. (x, y) = (1, 6)
3. Let "o" and "r" represent the numbers of orange fish and red fish, respectively.
.. o +r = 31 . . . . . there are 31 fish in a tank
.. o = 7 +r/2 . . . . there are 7 more orange fish than half the number of red fish
The second equation can be substituted into the first.
.. (7 +r/2) +r = 31
.. (3r/2) = 24 . . . . . . subtract 7
.. r = (2/3)*24 . . . . . .multiply by the inverse of the coefficient of r
I know you can solve it from there. (o, r) = (15, 16)