Consider a picnic. If you want to buy enough hot dogs and buns without having any left over, you need to balance the number of p
ackages of buns (which usually contain 8 buns) with the number of packages of hot dogs (which usually contain 10 dogs).What is the smallest number of packages of buns and hot dogs you need, respectively?Express your answer as two integers separated by a comma.
1 answer:
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Answer:
Step-by-step explanation:
Given is the probability distribution of a random variable X
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) E(X) = Mean of X = sum of xp = 5.3
Std dev = square root of variance = 0.9
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b) For sample mean we have
Mean = 5.3
Variance = var(x)/n =
c)
Answer:
The value of mHLK will be "(204)°".
Step-by-step explanation:
The given values are:
mJI = (3x+2)°
mHLK = (15x-36)°
and,
m∠HML = (8x-1)°
then,
mHLK = ?
Now,
By using chord-chord formula of angle, we get
On putting the values in the above formula, we get
⇒
On applying cross-multiplication, we get
⇒
⇒
On subtracting "18x" from both sides, we get
⇒
⇒
On adding "2" both sides, we get
⇒
⇒
⇒
⇒
On putting the value of "x" in mHLK = (15x-36)°, we get
⇒ (15x-36)° = (15×16-36)°
⇒ = (240-36)°
⇒ = (204)°
So that mHLK = (204)°