<u>Given</u>:
The given function 
which models the value of Mark’s car, where x represents the number of years since he purchased the car.
We need to determine the approximate value of Mark's car after 7 years.
<u>Value of the car:</u>
The value of the car after 7 years can be determined by substituting x = 7 in the function , we get;
Rounding off to the nearest dollar, we get;
Thus, the approximate value of Mark's car after 7 years is $14278.
Hence, Option a is the correct answer.
Answer:
<em>(6,3), last option</em>
Step-by-step explanation:
<u>Symmetry To A vertical line</u>
If the point Q (unknown) is symmetric to point P(2,3) with respect to x=4, it means it's located at the same distance to the line as P while keeping the same y-coordinate.
The point P has a distance of 4-2=2 units with respect to x=4. Q must have its x coordinate equal to 4+2=6, and keeping the y-coordinate equal to 3
The coordinates of Q are (6,3), last option
<span>The correct answer is 0.385.
Explanation<span>:
Decimals deal with powers of 10, such as 10, 100, 1000, etc. We can change this to a power of 10 by dividing both top and bottom by 2; this will give us 100 in the denominator.
77/2=38.5, so we have 38.5/100.
Dividing by 100 is the same as moving the decimal two places to the left, so we have 0.385.</span></span>
Answer:
The 98% confidence interval for the mean consumption of milk among people over age 32 is between 3.3 and 3.5 liters.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 2.327.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3.4 - 0.1 = 3.3 liters
The upper end of the interval is the sample mean added to M. So it is 3.4 + 0.1 = 3.5 liters
The 98% confidence interval for the mean consumption of milk among people over age 32 is between 3.3 and 3.5 liters.
