What is the asymptote of the exponential function y=3^x-3
1 answer:
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Answer:
See below and attached
Step-by-step explanation:
<u>As per the graph we have:</u>
- Coordinates of JL are J(-7, 4), L(-4, 0)
- Coordinates of MP are M(-10, 8), P(-1, -4)
<u>Slope formula is:</u>
- m = (y₂ - y₁)/(x₂ - x₁)
<u>Slope of JL:</u>
- (0 - 4)/(-4-(-7)) = - 4 / 3
<u>Slope of MP:</u>
- (-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3
Answer:
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner
Step-by-step explanation:
Given data:
51% of male voters preferred a Republican candidate
sample size = 5490
To win the vote one needs ≈ 2746 votes
In order to advice Gallup appropriately lets consider this as a binomial distribution
n = 5490
p = 0.51
q = 1 - 0.51 = 0.49
Hence > 5 while
< 5
we will consider it as a normal distribution
From the question :
number of male voters who prefer republican candidate ( mean ) ( u )
= 0.51 * 5490 = 2799.9
std = =
= 37.0399 ---- ( 1 )
determine the Z-score = (x - u ) / std ---- ( 2 )
x = 2746 , u = 2799.9 , std = 37.0399
hence Z - score = - 1.4552
hence
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner