Answer:
a.
Mean of given distribution=1.95
Standard deviation of given distribution=0.865
Step-by-step explanation:
a.
Mean of given distribution= E(x)=∑[x*P(x)]
Mean of given distribution=0*0.05+1*0.25+2*0.4+3*0.3
Mean of given distribution=0+0.25+0.8+0.9
Mean of given distribution=1.95
Standard deviation of given distribution=σx=√[ E(x²)-(E(x))²]
E(x²)=∑x²p(x)=0²*0.05+1²*0.25+2²*0.4+3²0.3
E(x²)=0+0.25+1.6+2.7
E(x²)=4.55
Standard deviation of given distribution=√[4.55-(1.95)²]
Standard deviation of given distribution=√[4.55-3.803]
Standard deviation of given distribution=√0.748
Standard deviation of given distribution=0.865
Basic trig concepts you have to keep in mind:
SOH CAH TOA
Sine: Opposite of the angle over the hypotenuse
Cosine: Adjacent over hypotenuse
Tangent: Opposite over adjacent
I'll do one of the problems, you should be able to do the rest (It's good practice ;))
51 if you need an explanation I can give that to you
Answer:
<h2><u><em>
125m²</em></u></h2>
Step-by-step explanation:
find the area of the green rectangle and remove the area of the yellow rectangle
(12 - 2) * (16 - 2) - (6 * 2.5) =
10 * 14 - 15 =
140 - 15 = 125m²
We will use d for drama and y for yearbook.
d + y = 64
d = y + 10
Now that we have the system if equations we can use substitution where you plug y+10 in for d in the first equation.
(y + 10) + y = 64
2y + 10 = 64
2y = 54
y = 27
If 27 of the 64 are in the yearbook club, 37 are in drama.