= < > ≥ ≤ ≠
I think there’s more but those are the basics
The perimeter is 2b+2h.
2(x+4)+2(x-6)=88
2x+8+2x-12=88
4x-4=88
4x=90
x=22.5
Any questions?
Answer:
Step-by-step explanation:
Hello!
Given the variables
X: daily hotel room rate
Y: amount spent on the entertainment
See second attachment for scatter plot.
The population regression equation is E(Yi)= α + βXi
To estimate the y-intercept and the slope of the regression equation you have to apply the following formulas:
a= Y[bar]-bX[bar]
n= 9; ∑X= 945; ∑X²= 103325; ∑Y= 1134 ∑Y²= 148804; ∑XY= 123307
X[bar]= ∑X/n= 945/9= 105
Y[bar]= ∑Y/n= 1134/9= 126
a= 126 - 1.03*105= 17.49
^Y= 17.49 + 1.03Xi
Slope interpretation: The estimated average amount spent on entertainment increases 1.03 every time the daily hotel room rate increases one unit.
If the room rate for Chicago is $128 (X), to predict the mount spent in entertainment (Y) you have replace it in the estimated regression line:
^Y= 17.49 + 1.03Xi= 17.49 + 1.03*128= 149.33
The expected amount spent on entertainment for Chicago is $149.33
I hope this helps!
Step1. -7x+14>-3x-6
step2. -7x+3x+14>-6
step3. -7x+3x>-6-14
step4. -4>-6-14
step5. -4x>20
step6.x<5
The answer is x<5
the area of the first shape is 4 times 12 which is 48 and the area of the second shape is 2 times 10 which is 20
48+20= 68 mi2