Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
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The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25
Answer: 
cups of pineapple juice .
Step-by-step explanation:
Equation of direct proportion between x and y:
As per given,
Let x = quantity of pineapple juice and y = quantity of orange juice.
, 
, 
Put these values in an equation we get
Hence, he needs cups of pineapple juice .
Answer:
6.7
Step-by-step explanation:
1^2+1^2= root 2
4^2+7^2 = root 65
1/2*root 2 *(root 65/2) = 2.85*2=5.700877+1
=6.7
P = 2(L + W)
P = 50
L = 15
50 = 2(15 + W)
50 = 30 + 2W
50 - 30 = 2W
20 = 2W
20/2 = W
10 = W.....so the width is 10 inches
Answer:
X= 38°
Y = 142°
Step-by-step explanation:
let the angle vertically opposite to 142° = w
therefore, w= 142° ( vertically opposite angles are equal)
hence,x+ w =180° ( two interior angles sum up to 180°)
x+ 142° = 180°
x= 180 - 142 = 48°
X = 38°
then calculating for Y
X + Y = 180° ( angles on a straight line sum up to 180°)
38+Y = 180
Y = 180- 38
Y = 142°
<h2>we're done here...</h2><h2>please don't forget to rate and mark brainliest!!!</h2>
