Answer:
First statement correct
Second statement not correct
You did it correctly though
Step-by-step explanation:
Since the lines have have same slope they would be parallel lines and never intersect each other hence inconsistent solution hence the first statement is correct.
A system of linear equations in which the two equations represent the same line; there are an infinite number of solutions to a dependent system, but these lines don't overlap each other hence no infinitely many solution thus not a dependent system and hence not correct
Using it's concept, it is found that the probabilities are given as follows:
a.1/2, 1/9, 5/9.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, 90 out of 180 individuals are children, hence the probability is given by:
p = 90/180 = 1/2.
Out of 90 adults, 60 - 50 = 10 preferred cheeseburgers, hence the probability is given by:
p = 10/90 = 1/9.
Of the 180 individuals, 90 are children, and 10 are adults who prefer cheeseburgers, hence the probability is given by:
p = 100/180 = 10/18 = 5/9.
Hence option a is correct.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
Step-by-step explanation:
You can think of this as adding the area of the rectangular portion of the deck (length x width) and the semicircular portion (πr^2)/2.
(l×w)+(πr^2)/2
(10×7)+((π2^2)/2
79+2π
This is a 30-60-90 right triangle.
In this special triangle, opposite 60 degrees = sqrt{3}. Thus, x = sqrt{3}.
