A. Convert to vertex form:-
= -0.8(x^2 - 4x) + 6
= -0.8 ((x - 2)^2 - 4)) + 6
= -0.8(x - 2)^2 + 9.2
Maximum height of the ball is 9.2 feet Answer
b. horizontal distance at this height = 2 feet. Answer
c. this distance will be the positive root of f(x) = 0
-0.8(x - 2)^2 = -9.2
(x - 2)^2 = 11.5
xi-2 = sqrt 11.5 = 3.39
required distance = 5.39 = 5.5 feet answer
8h=6h-14
subtract 6h from both sides
2h=14
divide by 2
h=7
Answer:
they will have to sample 60 machined metal parts
Step-by-step explanation:
Given that;
Margin of Error E = 6.74
at 90% Confidence Interval, z = 1.645 { from table }
Range R = maximum range - minimum range = 220 - 93 = 127
standard deviation σ = R / 4 = 127/4= 31.7500
How many machined metal parts would they have to sample n = ?
to get our sample size, we use the following formula
n = [ zσ / E ]²
we substitute in our values
n = [ 1.645 × 31.7500 / 6.74 ]²
n = [ 52.2287 / 6.74 ]²
n = [ 7.7490 ]²
n = 60.047 ≈ 60
Therefore, they will have to sample 60 machined metal parts
53. The ratio of apple over orange = 3:2 The total number of fruits are 60 pieces. Now, find the total number of apples and total number of oranges. => first, let’s add 2 + 3 = 5 Thus, we have 5 division for 60 pieces fruits, => 60 / 5 => 12 let’s solve for the apple => 12 x 3 = 36 Now. The orange => 12 * 2 = 24 => 36 + 24 = 60 Thus the ratio is 36 : 24
