Answer:
a)
, b) ![m = -27](https://tex.z-dn.net/?f=m%20%3D%20-27)
Step-by-step explanation:
a) The instantaneous rate of change is:
![\frac{dy}{dx} = 8\cdot x + 5](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%208%5Ccdot%20x%20%2B%205)
![\frac{dy}{dx} = 8\cdot (-4)+5](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%208%5Ccdot%20%28-4%29%2B5)
![\frac{dy}{dx} = -27](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20-27)
b) The slope of the tangent line is equal to the instantaneous rate of change found previously.
![m = -27](https://tex.z-dn.net/?f=m%20%3D%20-27)
Answer: 1.8
Step-by-step explanation:
First option is wrong because using a scale factor of 1 would result in the same shape.
Second option is wrong because using a scale factor less than 1 would result in shape 2 becoming smaller.
Third option is most likely as shape 1 looks almost double the size of shape 2.
Fourth option is unlikely because shape 2 would have to expand more than 4/3 to be as large as shape 1.
Fifth option is wrong because the scale factor cannot be less than 1.
The statement of the problem is
Kevin’s family has a history of diabetes. The probability that Kevin would inherit this disease is 0.75. Kevin decides to take a test to check if he has the disease. The accuracy of this test is 0.85
Probability
Test predicts he has it 0.85
Test predicts he doesn’t have it 0.15
Kevin has diabetes 0.75
<span>Kevin doesn’t have diabetes 0.25
</span>
Answers
<span>1) </span>The
probability that Kevin has diabetes and the test predicts he has diabetes
P=0.75*0.85=0.6375
<span>2) </span>The
probability that Kevin has diabetes and the test predicts the opposite to the
true
P=0.75*0.15=0.1125
<span>3) </span>The
probability that Kevin not have diabetes and the test predicts it correctly
P=0.25*0.85=0.2125
<span>4) </span>The
probability that Kevin not have diabetes and the test predicts he has diabetes
P=0.25*0.15=0.0375