Answer:
The linear model is not appropriate.
Step-by-step explanation:
In regression, the difference amid the observed-value of the dependent-variable (y) and the predicted-value (
) is known as the residual (e).
A residual plot is a graphical representation of the residuals on the y-axis and the independent variable on the x-axis. If the data-points on the residual plot are randomly spread around the x-axis, a linear regression model is appropriate for the data. And if the residual plots shows a non-random or a U or inverted U pattern, a nonlinear model is more appropriate for the data.
The residual provided shown an inverted U pattern. That is the points are not scattered around he graph.
Thus, the linear model is not appropriate.
Answer:
462 ft/s
Step-by-step explanation:
The height of the bullet is modeled by:
h(t) = -16t² + 925t------------------------------------ (1)
The speed of the bullet is modeled by the first derivative of equation (1)
dh/dt= -32t + 925------------------------------------ (2)
At maximum height, dh/dt = 0
0 = -32t + 925
32t = 925
t = 925/32
= 28.91 seconds
This means that the total time to reach maximum height is 28.91 seconds
Substituting into equation (1) we can calculate the maximum height:
h = -16 (28.91)² +925 (28.91)
= -13,372.61 + 26,742.675
= 13,367.065 ft
Average speed = Total distance/ Total time
= 13,367.065/28.91
= 462.368
≈ 462 ft/s
The answer here is simple to work out. We know that Ella has a total of $2.16. We need to determine each piece of gums value.
We also know that if the pieces of gum were one penny cheaper, she would have received three additional pieces.
At 8 pieces we know that each piece costs 27 cents. If the pieces of gum were one cent cheaper, she would have ended up with 8.64 pieces. Even with rounding, because the answer is not 11, we know that this is incorrect.
At 9 pieces we know that each piece costs 24 cents. If the pieces of gum were one cent cheaper, she would have ended up with 9.39 pieces. Even with rounding, because the answer is not 12, we know that this is incorrect.
At 16 pieces we know that each piece costs 13.5 cents. If the pieces of gum were one cent cheaper, she would have ended up with 17.28 pieces. Even with rounding, because the answer is not 19, we know that this is incorrect.
At 24 pieces we know that each piece costs 9 cents. If the pieces of gum were one cent cheaper, she would have ended up with 27 pieces. We know this is the correct answer because 27-24 is 3.
The correct answer is D) 24
Answer: Phelan now have 44.69 US dollars. of the original 250 US dollars.
Step-by-step explanation:
Given, Phelan spent 150 euros on his trip.
1 European euro = 1.3687 US dollars
So, 150 euros = 150 × 1.3687 US dollars
= 205.305 US dollars
≈ 205.31 US dollars [ Rounded to the nearest cent. ]
Initially he had 250 US dollars, now he has left (250-205.31)US dollars that is
44.69 US dollars.
Hence, Phelan now have 44.69 US dollars. of the original 250 US dollars.
