Answer:

Step-by-step explanation:
well the values for x are from -2 to ∞
so we can write it as

Well turn 60 into a decimal 0.60 and then multiply by 25 which is 15
remember of in math means multiply
Answer: The answer is (d) It is an irrational number.
Step-by-step explanation: Given formula for circumference of a circle is

where 'd' is the length of the diameter and a rational number.
We are to choose one of the given four options for the circumference 'c' of the circle.
We know that the circumference of a circle with diameter 'd' is given by

Comparing this with the given equation, we get

Now, the product of a rational and an irrational number is again irrational, so 'r × d' will be an irrational number.
Hence, the circumference, c = rd is irrational.
Thus, the correct option is (d) It is an irrational number.
Let

denote the event that an HD is defective, and

the event that a particular HD was produced at facility

.
You are asked to compute



From the definition of conditional probabilities, the first two will require that you first find

. Once you have this, part (c) is trivial.
I'll demonstrate the computation for part (a). Part (b) is nearly identical.
(a)

Presumably, the facility responsible for producing a given HD is independent of whether the HD is defective or not, so

.
Use the law of total probability to determine the value of the denominator:

We know each of the component probabilities because they are given explicitly: 0.015, 0.02, 0.01, and 0.03, respectively. So

and thus

(b) Similarly,

(c)
Answer:
when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). The signs of the coordinates change .
In the given graph point H' is (-3,-2) .The pre image of this point will be point H .Point H will have coordinates which will have signs of both coordinates opposite to that of point H'.
Coordinates of point H will be (3,2)
Step-by-step explanation: