Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.
we are given

where
y is average gas mileage in miles per gallon
x is speed in miles per hour
we have to find average gas mileage at a speed of 60 miles per hour
so, we have

now, we can plug it and find y

we get

so,
the best approximate for the average gas mileage at a speed of 60 miles per hour is 30.7 mi/gal...........Answer
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
The equation of the line in point slope form is

we're going to analyze two cases
<em>First case</em>


substitute

therefore
y plus 6 equals StartFraction 2 Over 5 EndFraction left-parenthesis x plus 2 right parenthesis
<em>Second case</em>


substitute

therefore
y plus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x plus 2 right parenthesis
Answer:
x=1 2/5
Step-by-step explanation:
Replace y with 0 and solve for x.
Answer:
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
Step-by-step explanation:
we know that
The equation of the line into point slope form is equal to

we have


substitute
