Answer:
395.2
Step-by-step explanation:
104 x 3 .8 = 395.2
Good luck on the test!
The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.
So, we can make the equation
. We need to find b, and put b in.
To find b, put in the numbers of y and x.

Solve for b:

Now replace b in the original equation with 12 and that will be the answer:
The answer is
.
Answer:
<em>The prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. </em>
Step-by-step explanation:
<em>A</em><em>. the prediction interval is narrower than the confidence interval.</em>
the prediction interval is always wider than the confidence interval.
<em>B</em><em>. the prediction interval provides an interval estimation for the expected value of y while the confidence interval does it for a particular value of y.</em>
False
<em>C</em><em>. the prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. </em>
<em>True</em>
<em>D.</em><em> the confidence interval is wider than the prediction interval.</em>
the prediction interval is wider
Answer:
530 grams
Step-by-step explanation:
970 grams = 0.970 kg
1 kg = 1000 grams
Thus: 500+30 = 530 grams
The airplane reaches its maximum height of 81 feet in 12 seconds.
<h3>Behavior of curves</h3>
If y =
, it means that the second derivate is 2 which is positive, then there is a minimum turning point.
If y = -
, it means that the second derivative will be -2 which is negative, then there is a maximum turning point.
Analysis:
h(t) = -
+ 81
By expanding,
h(t) = -(
- 24t + 144) +81
h(t) = -
+ 24t - 144 + 81
h(t) = -
+ 24t - 63
at turning point d/dt(h(t)) = 0
d/dt (h(t)) = -2t +24
-2t +24 = 0
if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.
2t = 24
t = 12 seconds
h(t) at t = 12
h(t) =
+ 24(12) - 63 = 81 feet
In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.
Learn more about minimum and maximum points: brainly.com/question/14993153
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