Answer:
654 1/2 cm³
Step-by-step explanation:
First the volume of the cylinder, the formula for that is πr²h
Radius is half of diameter so 7/2=3.5
3.5^2=12.25
12.25x22/7=38.5
38.5x15=577.5
Now the cone, the formula for this is πr²h/3
It has the same radius as the cylinder so 3.5^2=12.25
12.25x22/7=38.5
38.5x6=231
231/3=77
Now we add them together to find total volume.
577.5+77=654.5
Answer:
let x = the amount of orange juice in a full glass.
the glass is 1/6 full = 1/6 * x
add 95 cubic centimeters and the glass becomes 4/5 full.
equation for that is:
1/6 * x + 95 = 4/5 * x
subtract 1/6 * x from both sides of this equation to get:
95 = 4/5 * x - 1/6 * x
multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:
95 = 24/30 * x - 5/30 * x
combine like terms to get 95 = 19/30 * x
multiply both sides of the equation by 30/19 to get:
30/19 * 95 = 30/19 * 19/30 * x
simplify to get:
30/19 * 95 = x
solve for x to get x = 150.
the volume of the glass is 150 cubic centimeters.
1/6 * 150 = 25
4/5 * 150 = 120
the difference between 4/5 full and 1/6 full is 95 cubic centimeters.
solution is that the volume of the glass is 150 cubic centimeters.
Step-by-step explanation:
I need a picture to find the answer
The only function rule that works is A.
Instead of using f(x) - use y
Then place the numbers in for x and see which are true. The answer is A
Answer:
We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 510
Sample mean, 
= 502
Sample size, n = 60
Sample standard deviation, s = 30
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and fail to accept it.
We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.
