Answer:
the answer is A.
Step-by-step explanation:
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<span>The given function is f(x) = (7x + 1)/2. Write it as y = (7x)/2 + 1/2. To determine the inverse do these 3 steps. Step 1: Swap x and y to obtain x = (7y)/2 + 1/2. Step2: Solve for y. First, multiply through by 2 to obtain 2x = 7y + 1. Second, subtract 1 from each side to ontain 2x - 1 = 7y. Third, divide through by 7 to obtain (2x - 1)/7 = y. Step 3: Set y to the inverse of f(x) to obtain f^(-1) (x) = (2x - 1)/7.</span>
Based on the accuracy of the test and the probability of Kevin having the disease, the following are true:
- Probability that Kevin has diabetes and the test predicts this = 0.6375.
- Probability that Kevin has diabetes and the test doesn't predicts this = 0.1125.
- Probability that Kevin doesn't have diabetes and the test predicts this = 0.2125.
- Probability that Kevin doesn't have diabetes and the test doesn't predicts this = 0.0375.
<h3>Probability that Kevin has diabetes and the test predicts this</h3>
= Probability that Kevin has diabetes x Accuracy of test
= 0.75 x 0.85
= 0.6375
<h3>Probability that Kevin has diabetes and the test doesn't predicts this</h3>
= Probability that Kevin has diabetes x (1 - Accuracy of test )
= 0.75 x ( 1 - 0.85)
= 0.1125
<h3>Probability that Kevin doesn't have diabetes and the test predicts this</h3>
= Probability that Kevin doesn't have diabetes x Accuracy of test
= ( 1 - 0.75) x 0.85
= 0.2125
<h3>Probability that Kevin doesn't have diabetes and the test doesn't predicts this</h3>
= Probability that Kevin doesn't have diabetes x (1 - Accuracy of test )
= ( 1 - 0.75) x (1 - 0.85)
= 0.0375
In conclusion, the probability depends on the accuracy of the test and the probability of having diabetes.
Find out more on probability at brainly.com/question/6354635.
1) −3x+y=−13
4x+5y=1
−3x+y=−13( this is y)
Now it's time for you to add
−3x+y+3x=−13+3x
Next you will substitute (3x-13) for y in the equation 4x+5y=1
4x+5y=1
4x+5(3x−13)=1
19x−65=1 <<<(for this part you start to simplify)
19x−65+65=1+65
19x=66
Then you get
19x/19= 66/19
x=66/19
Now it's time for you to substitute 66/19
y=3x−13
y=3(66/19)−13
Then for y you get
y=−49/19
So the answer for number one is
x=66/19 y=49/19.
2)x−y=−4
x−y=1
First things first add y to both sides
x−y+y=−4+y
Your result is:
x=y−4
It's time to substitute
x−y=1
y−4−y=1
−4=1
What you need to do now is add
−4+4=1+4
and you get 0=5
For this problem you have no solutions.
Hope this helps
Y // -1 , 0 , 1 , 2 , 3 , 4 , 5