The rate of change will be given by:
v(h)=3√h=3h^0.5
The rate of change will be:
v'(h)=(3×0.5)x^-0.5=1.5x^-0.5
hence when h=2 meters, then the rate of change will be:
v'(h)=1.5×2^-0.5
v'(h)=1.061 m/s
Answer:
We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%
Step-by-step explanation:
From the question we are told that
The sample proportion is 
The standard error is 
Given that the confidence level is 95% then the level of significance is mathematically represented as

=> 
Generally from the normal distribution table the critical value of
is

Generally the margin of error is mathematically represented as

=> 
=> 
Generally 95% confidence interval is mathematically represented as

=> 
=>
Converting to percentage
Answer:
x=2, y=2
Step-by-step explanation:
3x + y = 8
2x + 4y = 12
Multiply the first equation by -4
-12x -4y = -32
Then add to the second equation
-12x -4y = -32
2x + 4y = 12
------------------------
-10x + 0y = -20
-10x = -20
Divide by -10
-10x/-10 = -20/-10
x =2
Now find y
3x+y = 8
3(2)+y = 8
6+y = 8
y = 8-6
y =2
16 is ur a. hope it helps
Answer: 
<u>Step-by-step explanation:</u>
There are 61 boys --> 38 girls
A) 19 chose football: 5 are girls --> 14 are boys
B) 38 girls: 28 chose running, 5 chose football --> 5 girls chose tennis
C) 31 students chose tennis: 5 are girls --> 26 are boys.
D) 61 boys: 14 chose football, 26 chose tennis --> 21 boys chose running.

Total running = 21 boys + 28 girls = 49
Total students = 99
