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Answer:
E(Y) = 1.666667
Step-by-step explanation:
By E(Y), we mean the expected value of Y. This is given as:
E(Y) = ,
Where F is the frequency.
As given:
The sample space (S) = {T,T,H}
And has a probability of:
H = 1/3
T = 2/3.
Frequency:
H = 1
T = 2.
Thus,
E(Y) = 1*(1/3) + 2*(2/3)
E(Y) = 1.666667.
Step-by-step explanation:
2/5 oz. for 1 cup
40 oz for x cups
2/5x = 40
x = 100 cups
Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc
In this case:
a=15 cm
b=10 cm
c=5 cm
cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1
A=arc cos -1=180º This is impossible, because:
A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).
Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.
p(x) × q(x)
= (3x² - x + 1) × (2x² + 3x - 2)
= 6x⁴ + 9x³ - 6x² - 2x³ - 3x² + 2x + 2x² + 3x - 2
= 6x⁴ + 7x³ - 7x² + 5x - 2