Answer – True
To begin an indirect proof, you assume the inverse of what you intend to prove is true. An indirect proof takes the conclusion from a hypothesis and assumes that the inverse is true until a contradiction is reached, thus showing that if the inverse is true there would be a contradiction. In other words, indirect proof demonstrates that something else apart from the given statement (usually algebraic or geometric) would not make sense.
Answer: P(A and B) is greater than P(A)
P(A and B) should be smaller than P(A).
Step-by-step explanation:
Given : P(A and B) = 0.40
P(A) = 0.20
Using the given formula of the conditional probability will be
But we know that the probability of any event cannot be more than 1.
Also, the probability of the intersection must be less than the probability of individual event.
Thus , in the given question P(A and B) must be smaller than P(A).
Answer: A
Explanation: The zeroes of f(x) are the value/s of x such that f(x) = 0. So, we need to find the values of x in the equation f(x) = 0.
Note that
f(x) = 0
⇔ x² + 3x - 10 = 0
By factoring into binomials, x² + 3x - 10 = (x + 5)(x - 2). Thus,
x² + 3x - 10 = 0
⇔ (x + 5)(x - 2) = 0
⇔ x + 5 = 0 or x - 2 = 0
⇔ x = -5 or x = 2
Hence, the zeroes of x are -5 and 2.
Answer:
True
Step-by-step explanation:
Answer:
m<y=50
Step-by-step explanation:
The total interior angles of a triangle is 180 degrees. This is a right triangle, the right angle measures 90 degrees. The given angle is 40 degrees.
Add 90 and 40.
90+40=130
Subtract 130 from 180.
180-130=50
m<y=50
Check:
90+40+50=180
90+90+180
180=180
