Answer:
The triangle EFG can be constructed with the following specifications: , , , , , .
Step-by-step explanation:
A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:
Angle E
Angle F
Angle G
The triangle EFG can be constructed with the following specifications: , , , , , .
1/2÷1/4=2. As a result, there are 2 bags that being filled. Hope it help!
Answer:
$60
Step-by-step explanation:
Let the company's fixed charge be "x"
And let the the hourly rate be "h"
Firstly, 2 hours + fixed = $110, we can write:
2h + x = 110
Next, 3 hours + fixed = $150, we can write:
3h + x = 150
We multiply the first equation by "-1" to get:
-1 * [2h + x = 110] = -2h - x = -110
Now we add this equation to the 2nd:
3h + x = 150
-2h - x = -110
-------------------
h = 40
Hence, the hourly rate is $40
So, it would cost 1.5 * 40 = $60 for 1.5 hours
Answer:
P(C|Y) = 0.5.
Step-by-step explanation:
We are given the following table below;
X Y Z Total
A 32 10 28 70
B 6 5 25 36
C 18 15 7 40
Total 56 30 60 146
Now, we have to find the probability of P(C/Y).
As we know that the conditional probability formula of P(A/B) is given by;
P(A/B) =
So, according to our question;
P(C/Y) =
Here, P(Y) = and P(C Y) = {by seeing third row and second column}
Hence, P(C/Y) =
= = <u>0.5.</u>