The answer is 4:1
48/12 is 4
Answer:
<h3>A) 204m</h3><h3>B) 188m</h3>
Step-by-step explanation:
Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60
The velocity of the rocket at its maximum height is zero
v = dh/dt = -32t + 96t
At the maximum height, v = 0
0 = -32t + 96t
32t = 96
t = 96/32
t = 3secs
Substitute t = 3 into the modeled function to get the maximum height
h(3) = -16(3)^2 + 96(3) + 60
h(3) = -16(9)+ 288 + 60
h(3) = -144+ 288 + 60
h(3) = 144 + 60
h(3) = 204
Hence the maximum height reached by the rocket is 204m
Get the height after 2 secs
h(t) = -16t^2 + 96t + 60
when t = 2
h(2) = -16(2)^2 + 96(2) + 60
h(2) = -64+ 192+ 60
h(2) = -4 + 192
h(2) = 188m
Hence the height of the rocket after 2 secs is 188m
3(5x-4) =8x+2
15x -12 =8x+2
15x-8x =2+12
7x =14
x =14/7
x=2 (ans)
Answer:
14:6
21:9
28:12
Step-by-step explanation:
Given the initial ratio of 7:3, you can find equivalent ratios by multiplying the two numbers by the same factor:
7 x 2 = 14
3 x 2 = 6
14:6
7 x 3 = 21
3 x 3 = 9
21:9
7 x 4 = 28
3 x 4 = 12
28:12
Answer:
The required sample size for the new study is 801.
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 
.
The margin of error is:
25% of all adults had used the Internet for such a purpose
This means that 
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
What is the required sample size for the new study?
This is n for which M = 0.03. So
Rounding up:
The required sample size for the new study is 801.
