Three more than five times a number is the same as thirty more than twice the number
2 answers:
Let's start by defining our unknown number.
Let's call it x.
Now, Let's handle the first part of it. 3 more than five times a number. That can be represented by the following
Now we handle the second part, "Thirty more than twice the number"
Which can be represented by
So, now we set them equal, since it tells us that these expressions are the same. Then we just solve the equation
The answer is 9
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Answer:
The probability that a student has a college degree or is not married is 0.8308.
Step-by-step explanation:
The information provided is:
Total number of high school seniors (<em>N</em>) = 650.
Number of seniors with a college degree (<em>n</em> (C)) = 400.
Number of seniors who were married, (<em>n</em> (M)) = 310.
Consider the Venn diagram below.
The probability of an event, say E, is the ratio of the favorable outcomes of <em>E</em> to the total number of outcomes of the experiment.
That is,
Here,
n (E) = favorable outcomes of <em>E</em>
N = total number of outcomes of the experiment.
The probability of the union of two events is:
Compute the probability that a student has a college degree or is not married as follows:
From the Venn diagram:
n (C) = 400
n () = N - n (M) = 650 - 310 = 340
n (C ∩ ) = 200
The value of P (C ∪ ) is:
Thus, the probability that a student has a college degree or is not married is 0.8308.
Answer:
x = 4
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = , then using the upper 45°
sin45° = =
=
( cross- multiply )
x = 4