Well here is how you solve.
You first combine like-terms.
3x + 1 + 2x = 2 + 4x
5x + 1 = 2 + 4x
Then you isolate the variable by subtracting 1 from both sides.
5x = 1 + 4x
Then you do the same with 4x.
1x = 1
Now divide.
x = 1
Now I know this isn't the exact answer but if you look at the options you have, one of those shouldn't be shown, then that would be your answer. I hope this helps love! :)
Answer: Hi! All of the answers and work are below. Please double check on your work just to make sure. Hope this helped! :)
Step-by-step explanation:
attached below :)
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!
Answer:
<h2>Width of the rectangle is 2</h2>
Step-by-step explanation:
A rectangle can is made up of two right angled triangle as shown.
Since area of a rectangle =
Area of one of the triangle =
The length and width of the triangle will be the same as that of the rectangle i.e 5units long and 2units wide
Area of one of the triangle =
Area of one of the triangle = 5units²
The area of the triangle above will equal one half of a rectangle that is 5 units long and 2 units wide.
Https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/calculating-interquartile-range-iqr
This is a link that I gave to my little sister that helped her understand what interquartile range is. It has an example as well! I hope this helps!