It goes into 855, 19 times.
Answer:
b.For each additional dollar paid to a tutor, we expect exam score to increase by 1.5 points, holding number of hours of sleep per week and number of study hours fixed.
Step-by-step explanation:
Hello!
For any multiple regression model, you can define the estimated slope as "the change or modification of the estimated average of Y when one of the explanatory variables increases one unit while the others remain constant.
In this example the dependant variable is:
Y: Exam score
And you have three explanatory variables:
X₁: salary of the teacher ($).
X₂: hours of sleep per week of a student.
X₃: number of study hours of a student.
The estimated model is ŷ= 65 + 1.5X₁ + 0.2X₂ + 0.5X₃
You need to interpret the estimated slope of the amount paid to the teacher b₁= 1.5
The units of the slope are units of Y by units of X, in this case, Y has no units so it is 1/$.
Then we can say that for every additional dollar paid to the teacher, the estimated mean score of the exam will increase by 1.5 1/$ while the weekly sleep hours and study hours remain constant.
I hope it helps!
Answer:
Each side of the L-shaped sidewalk is 126 m and 32m respectively.
Step-by-step explanation:
Given:
Total length of the sidewalk = 158 meters
Cutting across the lawn the distance = 130 meters
The L-shaped lawn will be treated as a right angled triangle.
So the 130 m distance is the hypotenuse here.
Let one side of the L-shaped lawn be 'x' meter so the another side will be (158-x) meters.
Applying Pythagoras formula.
So,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Applying quadratic formula;
Quadratic formula : 
where a=1 and b=-158 and c=4032
So the value of x= 126 and 32.
The length of each side of the sidewalk is 'x'= 126 m and '(158-x)'='(158-126)'=32 m
Answer:
Step-by-step explanation:
Look at the number and the angles
Multiple the angles all together that's how u find x
Answer:
Step-by-step explanation:
Triangle WXY is a right angle triangle.
From the given right angle triangle
WY represents the hypotenuse of the right angle triangle.
With ∠W as the reference angle,
WX represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine WY, we would apply the Sine trigonometric ratio
Sin θ = opposite side/hypotenuse. Therefore,
Sin 36 = 5/WY
WY = 5/Sin36 = 5/0.5878
WY = 8.5 to the nearest tenth
