Answer:
d.)33.33%
Step-by-step explanation:
There are a total of 102 students that enjoy watching soccer most.
Of those 102, 34 are middle school students; that makes the relative frequency 34/102 = 33.33%.
Answer:
<h2>x = 7</h2>
Step-by-step explanation:
To find the value of the value of x when
y = 14 we must first find the relationship between them
The statement
The value of y varies directly with x is written as

where k is the constant of proportionality
when x = 218
y = 436
So we have
436 = 218k
Divide both sides by 218
k = 2
So the formula for the variation is
<h2>y = 2x</h2>
when y = 14
We have
14 = 2x
Divide both sides by 2
<h3>x = 7</h3>
Hope this helps you.
Answer:
1
Step-by-step explanation:
First, convert all the secants and cosecants to cosine and sine, respectively. Recall that
and
.
Thus:


Let's do the first part first: (Recall how to divide fractions)

For the second term:

So, all together: (same denominator; combine terms)

Note the numerator; it can be derived from the Pythagorean Identity:

Thus, we can substitute the numerator:

Everything simplifies to 1.
D. 48 she must rent 48 in order to receive the cash prize