Answer:
The probability of the student will pass the quiz = .0546
Step-by-step explanation:
Given -
Total no of question = 10
If the student guesses on each question there are two outcomes true of false
the probability of guesses question correctly = 
the probability of success is (p) =
the probability of guesses question incorrectly =
the probability of failure is (q) = 1- p =
If the student guesses on each question he must answered at least 8 question correctly
the probability of the student will pass the quiz = 
= P(X = 8 ) + P(X = 9) + P(X = 10 )
= 
= 
= 
= 
= .0546
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I’m not sure what you’re asking but hopefully this helps
Answer:
F(-7,3) -> F'(-7,-3)
G(2,6) -> G'(2,-6)
H(3,5) ->H'(3,-5)
Step-by-step explanation:
If you are taking point (a,b) and reflecting it across the x-axis (the horizontal axis), your x value is going to stay the same because you want the point on the same vertical line as (a,b). The y-coordinate is going to be opposite because you want a reflection and the opposite of b will this give you the same distance from the x-axis as b.
So the transformation is this: (a,b) -> (a,-b).
All this means is leave x the same and take the opposite of y.
F(-7,3) -> F'(-7,-3)
G(2,6) -> G'(2,-6)
H(3,5) ->H'(3,-5)
Answer:
Area of the parallelogram is approximately 4,456.2 square feet
Step-by-step explanation:
The lengths of the sides of the parallelogram are 65 feet and 87 feet
The measure of the angle between the sides, Y = 52°
The formula for finding the area of a parallelogram is given as follows;
Area of a parallelogram = A·B·sin(Y)
Where;
'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them
Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;
Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²
