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:
1)B:63°
2)A:59°
Step-by-step explanation:
1.ABC is a right triangle at C then angle ACB=90°(right angle)
Angle CAB=27°(see the given)
measure of the angles in any triangle is 180°
then angle CBA=
measure of all the angles - (measure ACB+measure CAB)
=180°-(90°+27°)
=63°
2. Same explanation of angle B:
in the right triangle DEF: angle DEF=90°
angle D=31°(given)
Then measure of angle A=180°-(angle E + angle D)
=180-(90+31)=59°
Answer:
x - 11
Step-by-step explanation:
- A number stands for an unknown variable in which x takes it place
- The word fewer alerts us to subtraction, thus the minus sign
- 11 fewer than a number is the same as saying a number minus 11.
A -3 subtracted by 10 is -13 and it stays 2
Answer:
2.6 ft/s
Step-by-step explanation:
Given that a soccer ball kicked into the air reaches 15 feet in 3 second. The first rate or speed will be:
Rate 1 = 15/3 = 5 feet/s
and falls to 3 feet after 5 seconds. Also, the second rate or second speed will be:
Rate 2 = ( 15 - 3 ) / 5
Rate 2 = 12 / 5
Rate 2 = 2.4 ft/ s
What is the rate of change between the 3rd second and the 5th second? That is, the change in speed. Which can be expressed as:
The rate of change = 5 - 2.4
The rate of change = 2.6 ft/s
