Answer:
Option 2 and 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Average speed = distance/time
<u>Distance is:</u>
- 15 m/s * 10 s + 25 m/s *5 s =
- 150 m + 125 m =
- 275 m
<u>Time is</u>
<u>Av. speed </u>
Answer:
The estimate of Y changes by -2 or decreases by 2.
Step-by-step explanation:
We are given the following information:
Using Multiple regression, the relationship of Y to four other variables was established as:
![Y = 12 + 3X_1- 5X_2 + 7X_3 + 2X_4](https://tex.z-dn.net/?f=Y%20%3D%2012%20%2B%203X_1-%205X_2%20%2B%207X_3%20%2B%202X_4)
increases 2 units and
increases 1 unit, while
and
remain unchanged.
Predicted Y =
![Y_p = 12 + 3(X_1+2) - 5(X_2+1) + 7X_3 + 2X_4](https://tex.z-dn.net/?f=Y_p%20%3D%2012%20%2B%203%28X_1%2B2%29%20-%205%28X_2%2B1%29%20%2B%207X_3%20%2B%202X_4)
Change in Y =
![Y_p - Y \\= 12 + 3(X_1+2) - 5(X_2+1) + 7X_3 + 2X_4-(12 + 3X_1 - 5X_2 + 7X_3 + 2X_4)\\= 12-12+3(X_2+1-X_2)-5(X_2+1-X_2) + 7X_3 - 7X_3 + 2X_4 - 2X_4\\=3 - 5\\= -2](https://tex.z-dn.net/?f=Y_p%20-%20Y%20%5C%5C%3D%2012%20%2B%203%28X_1%2B2%29%20-%205%28X_2%2B1%29%20%2B%207X_3%20%2B%202X_4-%2812%20%2B%203X_1%20-%205X_2%20%2B%207X_3%20%2B%202X_4%29%5C%5C%3D%2012-12%2B3%28X_2%2B1-X_2%29-5%28X_2%2B1-X_2%29%20%2B%207X_3%20-%207X_3%20%2B%202X_4%20-%202X_4%5C%5C%3D3%20-%205%5C%5C%3D%20-2)
The estimate of Y changes by -2 or decreases by 2.
The number of boats are 8; so, he needs a total of 8*126 gallons.
In order to get the partial products, first you have to decompose 126 in its hundreds, tens and ones, that is, 126 = 100 + 20 + 6. Then multiply each of this terms by 8, as follows
8*100 = 800
8*20 = 160
8*6 = 48
Finally you have to add the results of these multiplications, that is, 800 + 160 + 48 = 1008. Therefore, he needs 1008 gallons for all the boats.
Answer: B. Ryder had $6.25. He needs to buy school supplies and ends up owing his mother $2.50
Step-by-step explanation: The number line only has single digits and every other answers have extreme changes while B has the lowest change that fits in the number line.