Answer:
Step-by-step explanation:
The equation of a linear function in point-slope form is y – y1 = m(x – x1)
The point is A (x1 , y1)
in this exercice : x1 = 3 and y1 =2
let A(3,2) B(-9,6)
the slope is : m = (YB - YA)/(XB -XA)
(6-2)/(-9-3) =4/(-12) = -1/3
the slope is m = -1/3
The equation is : y – y1 = m(x – x1)
y-2 =-1/3 ( x-3)
or : 3y-6 = -x+3
Let us say that the samples for fifty movies is 1 and
samples for thirty five is 2. To solve the test statistic z, we can use the
formula:
z = (p1 – p2) / sqrt [p (1 – p) (1 / n1 + 1 / n2)]
Where,
p1 = is the proportion for sample 1 = 0.36
p2 = is the proportion for sample 2 = 0.23
n1 = number of samples = 50
n2 = number of samples = 35
while p can be calculated using the formula:
p = [p1 * n1 / (n1 + n2)] + [p2 * n2 / (n1 + n2)]
p = [0.36 * 50 / (50 + 35)] + [0.23 * 35 / (50 + 35)]
p = 0.211764705 + 0.094705882
p = 0.306470587
Going back for the calculation of z:
z = (0.36 – 0.23) / sqrt [0.306 (1 – 0.306) (1 / 50 + 1 /
35)]
z = 1.279
Therefore the nearest answer is:
z = 1.29
After two years the value of the car would of gone down by $1,755 leaving the total amount the car is worth at 21,645
Answer:
Population standard deviation (σ) = 0.3 in
Step-by-step explanation:
Sample mean = 3.07 in
Sample standard deviation (s) = 0.21 in
Sample size (n) = 62 cups
Population standard deviation (σ) = ?
The point estimate for the population standard deviation is given by sample standard deviation divided by the square root of the sample size:
Answer:
Root 37
Step-by-step explanation:
All of the others are square numbers so they have no decimal numbers. Root 37 = 6.08...... making it an irrational number.
