Answer:
false negatives - 2%
false positives - 3%
Step-by-step explanation:
Here is the complete question :
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
% of results will be false negatives, and % of results will be false positives.
False negative means a negative result which in actuality it is positive
False negative = 100% - percent of positive result
100% - 98% = 2%
False positive result means a positive result which in actuality is negative
False positive = 100% - percent of false positive
100 - 97 = 3%
<em><u>Answer:</u></em>
(x − 4)² −4
<em><u>Step-by-step explanation:</u></em>
Use the form ax² + bx + c, to find the values of a, b, and c.
a = 1 , b = − 8 , c = 12
Consider the vertex form of a parabola.
a (x + d)² 2 + e
Find the value of d using the formula d = b/2a.
Reduce the expression by cancelling the common factors.
Factor 2 out of 8.
d = − 2⋅4/2⋅1
Cancel the common factors.
Factor 2 out of 2⋅1.
d = − 2⋅4/2(1)
Cancel the common factor.
Cancel '
d = − '2'⋅4/'2'⋅1
Rewrite the expression.
d = − 4/1
Divide 4 by 1.
d = − 1⋅4
Multiply −1 by 4.
d = −4
Find the value of e using the formula
e = c − b2²/4a.
Simplify each term.
Multiply 4 by 1.
e = 12 − (−8)²/4⋅1
Raise −8 to the power of 2.
e = 12 − 64/4⋅1
Multiply 4 by 1.
e = 12 − 64/4
Divide 64 by 4.
e = 12 − 1⋅16
Multiply −1 by 16.
e = 12 − 16
Subtract 16 from 12.
e = −4
Substitute the values of a, d, and e into the vertex form a(x + d)² + e.
(x − 4)² −4
In the smallest of the three triangles (with sides ) we have
In the second-largest triangle (with sides ), the length of the missing side is . Then in the largest triangle (with sides ), we have
Equivalently, we have
In turn, we find
Answer:
4536 cm2
Step-by-step explanation:
Answer:
46 cm²
Step-by-step explanation:
Find the area of the rectangle and the triangle, then subtract. Take a look at the steps to know how.
The area of the rectangle:
10×7=70
Area of triangle:
1/2×6×8=24
Subtract the area of the triangle from the area of the rectangle.
70-24=46.
The area of the new shape is 46 cm².
It is cm² because it is a 2D object.
Hope this helps!