Step-by-step explanation:
y = 400 × 0.75
y = 300
300 milligrams = 0.75 hours
x = 3 hours
3(300) = 0.75x
900 = 0.75x
x = 1200
The most reasonable estimate for the height of a two-story house is "15 meters".
The 15 centimeters is not reasonable, it is too small. While the 15 kilometers is not also reasonable since it is too big. Kilometers is used for long distance.
Answer:
14t + 58 ≤ 150
Step-by-step explanation:
If she cannot spend more than what she has, which is 150, the inequality sign has to be "less than or equal to". It's ok if she spends less than 150, but not ok if she spends more, because she doesn't have it to spend.
We know the cost of 1 pair of jeans is 58. Now she wants to make up the difference by getting as many $14 shirts as possible (the number of shirts being our unknown).
That means that the cost of the jeans PLUS the unknown number of shirts cannot exceed 150.
Therefore, the inequality is:
14t + 58 ≤ 150
The trend of the plotted points has a positive slope, so we can eliminate -0.95 and 0. Next we need to determine how strong the correlation is from a scale of -1 to 1 where the strongest is closer to -1 or 1.
Since we cannot draw a line through all of the points, the answer cannot be 1.
Between 0.75 and 0.95, we should go with 0.95 because if we were to draw a best fit line through the points, most of them would be close to or on the line. If the answer was 0.75, the correlation would be much weaker.
So the answer is 0.95.
Ans:8x-3y=27
Step-by-step explanation:
let,A,B be the line which have points (3,-1),(6,7)
here,
(3,-1)=(x1,y1)
(6,7)=(x2,y2)
then,
slope of line AB =(y2-y1/x2-x1)
=(7+1/6-3)
=8/3
Now,
equation of the line AB,
(y-y1)=m(x-x1)
(y+1)=8/3(x-3)
3y+3=8x-24
-8x+3y=-24-3
-8x+3y=-27
-(8x-3y=27)
8x-3y=27
Hence, the equation of the line through the points (3,-1) ,(6,7) is 8x-3y=27.
