Answer: the maximal height is 14.75 units of distance.
Step-by-step explanation:
We want to find the maximum height of the function
h(t) = -16*t^2 + 24*t + 5
In order to find the maximum, we need to find the value of t where the derivate of h(t) is equal to zero, then we evaluate our original function in that time.
The derivate of h(t) (or the vertical velocity) is:
h'(t) = 2*(-16)*t + 24 = -32*t + 24
we want to find the value of such:
0 = -32*t +24
32*t = 24
t = 24/32 = 0.75
Now we evaluate our height function in that value.
h(0.75) = -16*0.75^2 + 25*0.75 + 5 = 14.75 units
Answer:
3.45 x 10^5 hope this helps
Answer:
2.9% = 0.029 in decimal form. Percent means 'per 100'. So, 2.9% means 2.9 per 100 or simply 2.9/100. If you divide 2.9 by 100, you'll get 0.029
Step-by-step explanation:
Answer:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.
So 292 - 240 = 52 read below or at eight grade level, and that 
80% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).
Grab your calculator and enter 16231 then the divide key then 23 and finally = or exe.
you should get 705.696 to nearest thousandth.
