Answer:
The slope is undefined.
Step-by-step explanation:
x=-5 is not a function, therefore, the slope would be undefined.
Answer:
Step-by-step explanation:
The formula for determining the confidence interval for the difference of two population means is expressed as
z = (x1 - x2) ± √(s²/n1 + s2²/n2)
Where
x1 = sample mean of group 1
x2 = sample mean of group 2
s1 = sample standard deviation for data 1
s2 = sample standard deviation for data 2
For a 95% confidence interval, the z score is 1.96
From the information given,
x1 = 25 pounds
s1 = 9 pounds
n1 = 78
x2 = 14 pounds
s2 = 7 pounds
n2 = 43
x1 - x2 = 25 - 14 = 11
√(s²/n1 + s2²/n2) = √(9²/78 + 7²/43) = √1.038 + 1.1395)
= 1.48
The upper boundary for the confidence interval is
11 + 1.48 = 12.48 pounds
The lower boundary for the confidence interval is
11 - 1.48 = 9.52 pounds
Answer:
Rate Of Change= 7
Step-by-step explanation:
all you have to do is see the difference, imma make a table here first
x y
1 10
3 24
6 45
11 80
15 108
from 10 to 24 you add 14
from 1 to 3 you add 2
so y/x
14/ 2 = 7
check:
from 24 to 45 you add 21
from 3 to 6 you add 3
so y/x
21/3 = 7
From y/x your final answer will always be 7.
So the rate of change will be 7.
Hope this helped a little!
Answer:
She should cut each diagonal piece 10 ft long.
Step-by-step explanation:
The bottom face of the box is a rectangle 8 ft by 6 ft.
A diagonal of a rectangle divides the rectangle into two congruent right triangles. With a right triangle you can use the Pythagorean theorem.
a = length of rectangle = leg of right triangle
b = width of rectangle = other leg of right triangle
c = diagonal of rectangle = hypotenuse of right triangle
a^2 + b^2 = c^2
(8 ft)^2 + (6 ft)^2 = c^2
64 ft^2 + 36 ft^2 = c^2
c^2 = 100 ft^2
Take the square root of each side.
c = 10 ft
Answer: She should cut each diagonal piece 10 ft long.
The event "not rolling 1, 3, 4, or 5" is the same event as "rolling 2 or 6".
Since the possible outcomes of a number cube have the same probability, the probability of rolling 2 or 6 is given by