Suppose that you have three consecutive positive integers where the product of the smaller and larger number is equal to 15 more
1 answer:
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By solving a quadratic equation, it can be verified that
The owl population will disappear after 329.12 years
What is a quadratic equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A two degree equation is known as quadratic equation.
Here, a quadratic equation needs to be solved
The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=
For population to disappear, p =0
But t = -9.115 is not possible as time cannot be negative
So, the owl population will disappear after 329.12 years
To learn more about quadratic equation, refer to the link-
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Answer:
16.7%.
Step-by-step explanation:
There are initially pencils in the bag.
Take a pencil out of this bag of 47 pencils. 15 out of the 47 pencils blue. Let represent the event of getting a blue pencil on the first pick. The probability of getting a blue pencil is:
.
There are now pencils left in the bag. However, given that the first pencil removed from the bag is blue, the number of red pencils in the bag will still be 24. Take another pencil out of this bag of 46 pencils. Let
represent the event of getting a red pencil on the second pick. The possibility that the second pencil is red given that the first pencil is blue will be:
.
The question is asking for the possibility that the first pencil is blue and the second pencil is red. That is:
.
Answer: The answer is (B) ∠SYD.
Step-by-step explanation: As mentioned in the question, two parallel lines PQ and RS are drawn in the attached figure. The transversal CD cut the lines PQ and RS at the points X and Y respectively.
We are given four angles, out of which one should be chosen which is congruent to ∠CXP.
The angles lying on opposite sides of the transversal and outside the two parallel lines are called alternate exterior angles.
For example, in the figure attached, ∠CXP, ∠SYD and ∠CXQ, ∠RYD are pairs of alternate exterior angles.
Now, the theorem of alternate exterior angles states that if the two lines are parallel having a transversal, then alternate exterior angles are congruent to each other.
Thus, we have
∠CXP ≅ ∠SYD.
So, option (B) is correct.
