Find the constant rate of change of the line
1 answer:
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Answer:
<h2>76</h2>Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>- triangles
- equation
- PEMDAS
- this is an isosceles triangle since two sides are equal therefore
- a triangle contains 180°
according to the question
2x+2+2x+2+3x+1=180
solve:
- collect like terms:7x+5=180
- substract 5 from both sides:=>7x+5-5=180-5=>7x=175
- divide both sides by 7: =>7x/7=175/7
- x=25
given:
M∠R=3x+1
substitute the value of x
3×25+1
75+1
76
Answer:
a) No
b) 42%
c) 8%
d) X 0 1 2
P(X) 42% 50% 8%
e) 0.62
Step-by-step explanation:
a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.
b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6
P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7
P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%
c) P(win first game) = 0.4
P(win second game) = 0.2
P(win both games) = P(win first game) × P(win second game) = 0.4 × 0.2 = 0.08 = 8%
d) X 0 1 2
P(X) 42% 50% 8%
P(X = 0) = P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%
P(X = 1) = [ P(lose first game) × P(win second game)] + [ P(win first game) × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%
e) The expected value
f) Variance
Standard deviation