Answer:
He would 36 miles all together.
Step-by-step explanation:
Consider the diagram showing the path Joel biked. Joel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, he would have ride 36 miles all together. Joel’s starting point is x.
In order to solve this, we must use the Pythagorean theorem.
The amount of miles would be found by adding the 3 sides together to find the sum or answer.
15 + 9 + 12 = 36 miles
Answer:
![\chi^2 = \frac{(83-90)^2}{90} +\frac{(68-72)^2}{72}+\frac{(85-78)^2}{78}+\frac{(64-60)^2}{60} = 1.66](https://tex.z-dn.net/?f=%5Cchi%5E2%20%3D%20%5Cfrac%7B%2883-90%29%5E2%7D%7B90%7D%20%2B%5Cfrac%7B%2868-72%29%5E2%7D%7B72%7D%2B%5Cfrac%7B%2885-78%29%5E2%7D%7B78%7D%2B%5Cfrac%7B%2864-60%29%5E2%7D%7B60%7D%20%3D%201.66)
And the answer would be:
c. 1.66
Step-by-step explanation:
We need to conduct a chi square test
The statistic to check the hypothesis is given by:
the observed values for this case are:
![Freshemen=83](https://tex.z-dn.net/?f=%20Freshemen%3D83)
![Sophomores=68](https://tex.z-dn.net/?f=%20Sophomores%3D68)
![Juniors = 85](https://tex.z-dn.net/?f=%20Juniors%20%3D%2085)
![Seniors= 64](https://tex.z-dn.net/?f=Seniors%3D%2064)
The expected values for this case are:
![Fres_E =0.3*300= 90](https://tex.z-dn.net/?f=%20Fres_E%20%3D0.3%2A300%3D%2090)
![Sop_E =0.24*300= 72](https://tex.z-dn.net/?f=%20Sop_E%20%3D0.24%2A300%3D%2072)
![Jun_E = 0.26*300 =78](https://tex.z-dn.net/?f=Jun_E%20%3D%200.26%2A300%20%3D78)
![Sen_E = 0.20*300= 60](https://tex.z-dn.net/?f=%20Sen_E%20%3D%200.20%2A300%3D%2060)
Then the statistic would be given by:
![\chi^2 = \frac{(83-90)^2}{90} +\frac{(68-72)^2}{72}+\frac{(85-78)^2}{78}+\frac{(64-60)^2}{60} = 1.66](https://tex.z-dn.net/?f=%5Cchi%5E2%20%3D%20%5Cfrac%7B%2883-90%29%5E2%7D%7B90%7D%20%2B%5Cfrac%7B%2868-72%29%5E2%7D%7B72%7D%2B%5Cfrac%7B%2885-78%29%5E2%7D%7B78%7D%2B%5Cfrac%7B%2864-60%29%5E2%7D%7B60%7D%20%3D%201.66)
And the answer would be:
c. 1.66
So the equation you would have to set up would be: (3m)+(2m-5)=90.
If your wondering where I got the 90 from I got it because the question states it is a right angle.
So now you combine like terms:
3m+2m=5m
Which leaves you:
5m+(-5)=90 or 5m-5=90
Then you do the opposite operation by changing subtraction to addition:
5m-5=90
+5
(Don’t forget your do the same on the other side)
5m-5=90
+5 +5
—————-
And then your left with:
5m=95
Then you divide by 5 on both sides by creating a fraction:
5m=95
—- —-
5 5
And you get your answer:
m=19
Answer:
222 cups
Step-by-step explanation:
24*3=72
72*3=216
3*2=6
216+6=222
Answer:
n= 29
Step-by-step explanation:
multiply to remove the fraction, then set the unknown to 0 then solve