Answer:
x = 4
Step-by-step explanation:
we know that 72 and (2x + 10) add up to 90
90-72 = 18
(2x + 10) = 18
2x = 8
x = 4
The fraction part of a mixed numeral is added to the whole number.
Use a calculator to divide 13/20.
13/20 = 0.65
34 13/20 = 34 + 13/20 = 34 + 0.65 = 34.65
Answer:
a. 19.68 miles per gallon.
b. 26.32 miles per gallon.
Step-by-step explanation:
Mean gas mileage (μ) = 23.0 mpg
Standard deviation (σ) = 4.9 mpg
In a normal distribution, for any length X, the z-score is determined by the following expression:

In a normal distribution, the 25th percentile (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile has a corresponding z-score of z = 0.677
a. The first quartile of the distribution of gas mileage is

19.68 miles per gallon.
b. The third quartile of the distribution of gas mileage is

26.32 miles per gallon.
Answer:
1/3
Step-by-step explanation:
slope is just change in y over change in x
on a graph this can be found by counting the change in units
look at the point at (-3,0)
find the change in y by starting at that point and counting up or down until you reach another point.
the next point (-4,-3) is three units down (change of -3)
now go back to the first point and count left or right until you reach the other point to get change of x
the other point is one unit left (change of -1)
change of y over change of x = -1/-3=1/3
Answer:
For the first question the sample size is n= 3850


And replacing we got:


We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.
Step-by-step explanation:
We have the following info given:
represent the estimated proportion of all people who like the movie
represent the sample size selected
For the first question the sample size is n= 3850
For the second part they gives to us the margin of error:

We know that the confidence interval for a population proportion
of interest is given by:

And the margin of error is given by:

So then the confidence interval can be found with this formula:

And replacing we got:


We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.