Answer:
Step-by-step explanation:
Firstly, we can simplify the ratio of boys to girls to
1
:
2
.
Then, to find out how many students each ratio represents, we add up
1
and
2
to get
3
(
1
+
2
=
3
).
By dividing
3
by the number of students, we can find how many students ONE ratio represents:
24
3
=
8
.
So ONE ratio is equal to
8
boys. Since our simplified ratio of boys to girls is
1
:
2
already, we do not have to do further multiplying - the number of boys is simply
8
.
For the girls, simply multiply
2
by
8
to get
16
.
Check:
8
boys
+
18
girls
=
24
students
.
Answer:

Step-by-step explanation:

Use the trigonometric identity

Then,

Answer:
<h2>D. 0.389</h2>
Step-by-step explanation:
We need to find the probability of a studend taking a humanities class, given the student is male.
In this case, the total number of outcomes 180, which is the total number of male students. The possible event is 70, which is all male students which take humanities class.
So, the probability is

Therefore, the right answer is D., the probability that a student is taking a humanities class, given the student is male, is 0.389, rounded to the nearest thousandth.
Answer:
30
Step-by-step explanation:
For the minimum free throws, he must put every throw to the basket.
So, let n be the number of throws for Tuesday, in which all the throws are successful.
So, over both the days, total free throws he makes= 15+n.
Total numbers of throws that went in the basket= 6+n.
As he wants at least 80% of his balls to go in the basket.
So, 6+n is greater than or equal to 809% of 15+n, i.e



Hence, the minimum number of free throws required on Tuesday to reach his goal is 30.
The area of a rectangle is length times width or base times height
so 5 times 2x-3
if you multiply them together 5(2x-3) you would get 10x-15
there is no value of x
so the area would be 10x-15ft^2