Answer:
0.627%
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability of a randomly selected household to be audited and owns a dog = P(A ∩ B) = P(A) x P(B)
where A = household tax returns audited
B = percentage of households that own dogs
0.0165 x 0.38 = 0.627%
The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B
<h3>Properties of the function</h3>
The following are the properties of the sin trigonometric ratio of the function;
- The sine graph rises till +1 and then falls back till -1 from where it rises again.
- The function y = sin x is an odd function
- The domain of y = sin x is the set of all real numbers
- The range of sine function is the closed interval [-1, 1]
- The amplitude of the function is half its range value
- One cycle of the function is 6. 28
From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.
Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B
Learn more about the sine function here:
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Expand the brackets first
5(wx-v) = 9(x + v)
5wx - 5v = 9x + 9v
Get all x's on one side and everything on on the other side
9x - 5wx = 9v + 5v
factorise out the x
x(9-5w) = 14v
then divide by 9-5w
x = 14v/(9-5w)
Answer:
22.5° and 67.5°
Step-by-step explanation:
The sum of complementary angles equal 90°.
Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.
Thus, the following expression can be written to represent this case:
Solve for x
Divide both sides by 4
The measure of the complementary angles are:
x = 22.5°
3x = 3(22.5) = 67.5°
Answer:
75 degrees
Step-by-step explanation:
The corresponding angle is 75 degrees
