Answer:
Might be
Step-by-step explanation:
A.) The probability of all dependent events can be calculated using the OR formula
First one:
cos(A)=AC/AB=3/4.24
cos(B)=BC/AB=3/4.24
Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1
Second one:
To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).
If that's the case, AE is a transversal of parallel lines AB and DE.
And Angle A is congruent to angle E (alternate interior angles).
Therefore sin(A)=sin(E)=0.5
Answer:
15
Step-by-step explanation:
For these kind of problems, its best to use a Venn Diagram.
Lets break down the information:
<em>There are 50 students total.</em>
<em>25 take Math competiton classes.</em>
<em>29 take Geometry</em>
<em>12 take history and </em><em><u>no math classes</u></em>
<em>19 take </em><em><u>both math classes</u></em>
Now, make a Venn Diagram.
[Look at the photo attached. Also, the blank spaces in the Venn Diagram are ones that no student takes.]
The 12 taking history and no math classes and 3 kids not taking any of those classes look like they're the only ones not taking either math class.
12 + 3 = 15.
So the answer is 15.
[I'm not sure if this is correct or if I made a mistake so please let me know! Thank you! I hope this helps!]
:)