Converting this into an equation, we get:
6x+4y=14
-8x-4y=-12
We can solve this by adding the system of equations.
6x+4y=14
+ -8x-4y=-12
-------------------------
-2x=2
Simplifying, we get that x=-1. We can replug this into one of the equations to get y. We'll choose 6x+4y=14
Plugging in -1 for x, we get that:
6(-1)+4y=14
which is
-6+4y=14
which is
4y=20
Simplify this to get that y=5
To check, you can plug in x and y into both equations to make sure that they are true.
6(-1)+4(5)=14
-6+20=14
14=14 which is true
-8(-1)-4(5)=-12
8-20=-12
-12=-12 which is true
x=-1 and y=5
:)
True.
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. ... All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
Take the total of how much Zoe earned then divide it by how many hours she worked:
28.38/3.3 = $8.60 per hour
Answer:
Step-by-step explanation:
Hello!
Given the variables
Y: standardized history test score in third grade.
X₁: final percentage in history class.
X₂: number of absences per student.
<em>Determine the following multiple regression values.</em>
I've estimated the multiple regression equation using statistics software:
^Y= a + b₁X₁ + b₂X₂
a= 118.68
b₁= 3.61
b₂= -3.61
^Y= 118.68 + 3.61X₁ - 3.61X₂
ANOVA Regression model:
Sum of Square:
SS regression: 25653.86
SS Total: 36819.23
F-ratio: 11.49
p-value: 0.0026
Se²= MMError= 1116.54
Hypothesis for the number of absences:
H₀: β₂=0
H₁: β₂≠0
Assuming α:0.05
p-value: 0.4645
The p-value is greater than the significance level, the decision is to not reject the null hypothesis. Then at 5% significance level, there is no evidence to reject the null hypothesis. You can conclude that there is no modification of the test score every time the number of absences increases one unit.
I hope this helps!
