Which ordered pair is a solution of the equation? − 4 x + 7 = 2 y − 3 −4x+7=2y−3
1 answer:
Answer:
The equation is
−4x+7=2y−3
Which can be rewritten as
2y−3 = -4x +7
2y = -4x + 10
y = -2x + 5
The equation represents the line shown in the image below.
Any point that belongs to the line is an ordered pair that represents a solution
To find any ordered pair that satisfies the equation, we place an arbitrary value for x and find the corresponding y value with the equation.
For example
x = 0 ,
y = -2(0) + 5 = 5
(0,5) is an ordered pair
x = 1 ,
y = -2(1) + 5 = 3
(1,3) is an ordered pair
x = 2 ,
y = -2(2) + 5 = 1
(2,1) is an ordered pair
And so on
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Answer:
0.017559
Step-by-step explanation:
Data provided:
Probability of Households Having cable TV, p₀ = 76% = 0.76
Therefore,
The probability that the Households not having cable TV = 1 - 0.76 = 0.24
Sample size, n = 225 households
sample proportions is less than 82% i.e p = 0.82
Now,
The standard error, SE =
or
SE =
or
SE = 0.02847
and,
or
or
Z = 2.107
therefore,
P(sample porportions < 0.82) = P(Z < 2.107)
now from the p value from the Z table
we get
P(sample porportions < 0.82) = 0.017559