Ausation<span> vs. </span>Correlation<span>. </span>Causation<span> at its simplest definition refers to determining the cause or reason for some sort of phenomenon. ... A </span>correlation<span> is simply a recognized </span>relationship between<span> two things or events, but it does not imply</span>causation<span>. Rather, in cases of </span>correlation<span>, one thing or event predicts another. hope it helps</span>
Answer:
a. 45 π
b. 12 π
c. 16 π
Step-by-step explanation:
a.
If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:
Radius: 3
Height: 5
Then the volume of the cylinder is:
V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π
b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:
Radius: 3
Height: 4
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π
c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):
Then we will have:
Radius: 4
Height: 3
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π
Answer:
94.50
Step-by-step explanation:
I used a calculator
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
Part 1
The correct option is B
Part 11
The correct option is H
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
Generally the sample mean for the input temperature is mathematically represented as
Generally the sample mean for the output temperature is mathematically represented as
Generally the difference between the mean of the input temperature and that of the output temperature is
=>
=>
Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as
=>
=>
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
Generally the p-value is mathematically represented as
From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of df = n-1 = 15-1 = 14
So
From the values obtained we see that the hence the decision rule is fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.
Answer:
322 1/2 miles
Step-by-step explanation:
Recall how s = d/t ; speed = distance/time.
To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.
speed × time = distance/time × time
speed × time = distance
distance = speed × time ; d = st.
Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.
Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.
Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.
Distance 1 + Distance 2 = Total distance.
270 miles + 52 1/2 miles = 322 1/2 miles.