Answer:
Step-by-step explanation:
There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. This means that the number of freshmen is 3/10 × total number of students.
Number of freshmen = 3/10×950 =285 freshmen
The ratio of the number of sophomore to all students is 1:2. This means that the number of sophomore is 1/2 × total number of students.
Number of sophomore = 1/2×950 =475 sophomore
The ratio of the number of freshmen to sophomore is the number of freshmen/ the number of
sophomore.
It becomes 285/475 = 57/95
82. Dora bought one package of each 1-pound pork, 2-pound pork and 4-pound pork.
Thus, she got a total of:
=> 1 pound + 2 pounds + 4 pounds = 7 pounds of pork.
Question: How many ¼ pound of hamburger she can make then with this given number of pork in pounds.
=> ¼ = 1 / 4 = .25
Now, let’s divide 7 pounds by .25 pounds
=> 7 / .25 = 28
Thus, She can make 28 hamburgers in all.
Answer:
The 90% confidence interval using Student's t-distribution is (9.22, 11.61).
Step-by-step explanation:
Since we know the sample is not big enough to use a z-distribution, we use student's t-distribution instead.
The formula to calculate the confidence interval is given by:
Where:
is the sample's mean,
is t-score with n-1 degrees of freedom,
is the standard error,
is the sample's size.
This part of the equation is called margin of error:
We know that:
degrees of freedom
Replacing in the formula with the corresponding values we obtain the confidence interval:

Answer:
I guess we have the table:
x f(x)
-4 7
-2 5
0 3
2 1
4 - 1
To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:
slope = (y2 - y1)/(x2 - x1)
let´s use the first two:
(-4,7) and (-2, 5)
Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1
Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:
(-4, 7) and (0,3)
S = (3 - 7)/(0 -(-4)) = -4/4 = -1
Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.
This means that the slope of this function is equal to zero.
This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1