Recognize and represent proportional relationships between quantities. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
Answer:
The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
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 = 16 - 1 = 15
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.7531
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg
The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg
The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.
Answer:
y = 3x+9
Step-by-step explanation:
We can use the slope intercept form
y = mx+b
where m is the slope and b is the y intercept
y = 3x +b
Substitute the point into the equation
6 = 3(-1) +b
6 = -3+b
Add 3 to each side
6+3 = -3+3+b
9 = b
y = 3x+9
Answer:
and 
Step-by-step explanation:
Given that
and
, the parametric equations are obtained by algebraic means:
1)
Given
2)
Given
3)
Associative and modulative properties
4)
Existence of multiplicative inverse/Commutative property
5)
Associative property
6)
/ 
7)
Modulative property
8)
Existence of additive inverse
9)
Associative and commutative properties
10)
Distributive property
11)

12)
By 1)
13)
/Result
14)
Compatibility with addition
15)
Compatibility with addition
16)
Associative property
17)
Associative property
18)
Associative and commutative properties/Definition of subtraction/Result
In consequence, the right answer is
and
.