Answer:
x=-6
Step-by-step explanation:
Answer:
107.50
Step-by-step explanation:
Given the following :
Midpoint (S)____F
S y 93 95 97 99 101 103 105 107 109 111 f 19 25 38 17 12 10 5 4 4 2
Calculating the mean and standard deviation using a calculator :
The mean(m) of the data above = 98.12
Standard deviation (sd) = 4.02
Proportion = 99% of population
From z table = 2.33
Using :
Zscore =(x - m) / sd
2.33 = (x - 98.12) / 4.02
2.33 * 4.02 = x - 98.12
9.3666 = x - 98.12
9.3666 + 98.12= x
x = 107.4866
X = 107.50
1) find the corresponding y values for when x = 0 and when x = 4,
when x = 0, y = 4
when x = 4, y = 4
the coordinates are (0,4) and (4,4)
2) to calculate the average rate of change, find the slope of the two points:
(0,4) (4,4)
(change in y) 4 - 4 = 0
(change in x) 4 - 0 = 4
0/4 = 0
the average rate of change is 0!
Answer:
0
Step-by-step explanation:
=-5/6-7/6+2
=-12/6+2
=-2+2=0
Answer:
t=3.5 seconds
Step-by-step explanation:
Given
h(t) = −16t^2 + 111t + 0
h'(t)= -32t + 111
Maximum height occurs when h(t) = 0 and the ball begins to fall
h(t)= -32t + 111=0
-32t + 111=0
-32t=-111
Divide both sides by -32
t=3.46872
Approximately, t=3.5 seconds
Recall,
Maximum height occurs when h(t) = 0
h(t)= -32t + 111=0
= -32(3.46872)+111
= -110.99904+111
= 0.00096 ft
