Answer:
0.82
Step-by-step explanation:
given that an athlete suspected of having used steroids is given two tests that operate independently of each other.
Test A has probability 0.9 of being positive if steroids have been used. Test B has probability 0.8 of being positive if steroids have been used.
A and B are independent of each other
Hence P(AB) = P(A) P(B)
Required probability = the probability that atleast one test is positive if steroids have been used
= P(AUB)
= P(A)+P(B)-P(AB)
= 0.9+0.8-0.9*0.8
= 0.82
The two rational numbers between and is ,
<h3>How to find the rational numbers between -3/4 and -2/3?</h3>
In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).
given that -3/4 and -2/3
now take L.C.M between these two rational numbers is 12.
now multiply -3/4 with 3 both numerator and denominator
again multiply -9/12 with 4 both numerator and denominator
now multiply -2/3 with 4 both numerator and denominator
again multiply -8/12 with 4 both numerator and denominator
Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3
Learn more about rational numbers, refer:
brainly.com/question/12088221
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Answer:
c
Step-by-step explanation:
x³ - y³ ← is a difference of cubes and factors as
x³ - y³ = (x - y)(x² + xy + y²)
Given
+ = - 1
Multiply through by xy to clear the fractions
x² + y² = - xy ← substitute into second factor of expansion
x³ - y³ = (x - y)(- xy + xy) = (x - y) × 0 = 0 → c
Answer:
x = 20°
f = 40°
Step-by-step explanation:
4x + 5x = 180°
because a straight line is 180°
so 9x = 180°
1x = 180 ÷ 9
1x = 20
all angles in a triangle add together is 180°
so 7x + f = 180°
1x = 20
7x = 20 × 7
7x = 140°
f = 180° - 140 °
f = 40°