The value of the probability P(A) is 0.40
<h3>How to determine the
probability?</h3>
The given parameters about the probability are
P(A or B) = 0.6
P(B) = 0.3
P(A and B) = 0.1
To calculate the probability P(A), we use the following formula
P(A and B) = P(A) + P(B) - P(A or B)
Substitute the known values in the above equation
0.1 = 0.3 + P(A) - 0.6
Collect the like terms
P(A)= 0.1 - 0.3 + 0.6
Evaluate the expression
P(A)= 0.4
Hence, the value of the probability P(A) is 0.40
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Answer:
3 1/3 and 2
Step-by-step explanation:
Let the numbers be x and y and let z be the constant of proportion. Then
xy = 5z ...............(1)
x + y = 4z ...........(2)
x - y = z ..............(3) Adding (2) and (3)
2x = 5z
x = 5z/2 ................(4)
Substituting for x in equation 1:
5z/2 * y = 5z
y = (5z * 2) / 5z = 2.
Substituting for y in equations (2) and (3):
x + 2 = 4z
x - 2 = z Subtracting:
4 = 3z
z = 4/3.
Substituting for z in equation (4)
x = 5(4/3) /2
x = 20/6 = 10/3 = 3 1/3.
So the 2 numbers are 3 1/3 and 2.
Checking the results:
xy = 2 * 10/3 = 20/3 = 5 * 4/3 = 5z
x + y = 10/3 + 2 = 16/3 = 4 * 4/3 = 4z.
x - y = 10/3 - 2 = 4/3 = z.
Answer:
(x+4)(x-8)
Step-by-step explanation:
Answer:
$245
Step-by-step explanation:
the shoes would have been $140 and the shirt $105