<u>Answer:</u>

<u>Step-by-step explanation:</u>
Distance traveled by a car between two cities = 1/6 distance
Time taken to travel between the two cities = 3/5 hours
Therefore, to find how much of the distance the car can travel in 1 hour, we need to divide the given distance by the given time to get:
(
) ÷ (
)
Change the later fraction to its reciprocal to solve:
×
= 
Therefore, in one hour, the car can travel 5/18 of the distance.
Answer:
80
Step-by-step explanation:
f(3)=4(3)^3-3(3)^2+5(3)-16
f(3)=4(3*3*3)-3(3*3)+15-16
f(3)=4(27)-3(9)+15-16
f(3)=108-27+15-16
f(3)=81+15-16
f(3)=96-16
f(3)=80
X = 2
Using the trapezoid mid segment theorem, knowing that the mid segment is parallel to the bases and half as long as the sum of the lengths of the bases, we add the lengths of the two bases and set it equal to two times the length of the mid segment.
7x+3+ 15= 16(2)
7x+18= 32
Subtract 18 from both sides.
7x = 14
Divide both sides by 7.
X = 2.
You can check your work by solving for the length of the base 7x + 3.
7(2)+3 =17
Then, add the length of the two bases together.
15 + 17 = 32. Half of 32 equals sixteen, which is your mid segment.
(correct me if i’m wrong, i got the theorem off of the internet and did the rest of the work myself.)
Answer:
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
Step-by-step explanation:
The standard deviation is the square root of the variance. Since the variance is 25, the sample's standard deviation is 5.
We have the sample standard deviation, not the population, so we use the t-distribution to solve this question.
T interval:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 0.95(
). So we have T = 1.761
The margin of error is:
M = T*s = 1.761*5 = 8.805.
The upper end of the interval is the sample mean added to M. So it is 75 + 8.805 = 83.805.
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
Answer:
26
Step-by-step explanation:
Substitute the values of r and s into the equation:
10 + r(s - 1 ) =
10 + 4(5 - 1 )
Then use Pemdas to solve the rest.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction