Answer:
Gradient = Change in y / Change in x
Gradient = (-7-3) / (0-4)
Gradient = -10/-4
Gradient = 2.5
So the answer is 10/4, which is 2.5
Answer:
(5, 21)
Step-by-step explanation:
The x-coordinate of the midpoint of a segment is half of the sum of the x-coordinates of the endpoints.
The y-coordinate of the midpoint of a segment is half of the sum of the y-coordinates of the endpoints.
Let the unknown point have coordinates (x, y).
x-coordinate:
(5 + x)/2 = 5
5 + x = 10
x = 5
y-coordinate:
(-1 + y)/2 = 10
-1 + y = 20
y = 21
The other endpoint has coordinates (5, 21).
Answer:
$1226.78<x<$1301.22
Step-by-step explanation:
The formula for calculating confidence interval is expressed as;
CI = xbar ± z×(s/√n)
Given
Mean (xbar) = $1264
z is the z score at 90% CI = 1.645
s is the standard deviation = $150
n is the sample size = 44
Substitute
CI = 1264±1.645(150/√44)
CI = 1264±1.645(150/6.63)
CI = 1264±1.645(22.624)
CI = 1264±37.22
CI = (1264-37.22, 1264+37.22)
CI = (1226.78, 1301.22)
Hence the confidence interval of the mean is $1226.78<x<$1301.22
Answer:
2. scale factor 2 | x = 4.5
3. scale factor 1.5 | x = 12
Step-by-step explanation:
I’m pretty sure it’s x-3y over 2
