Find the value of x so that the line through the pair of points has the given slope.
1 answer:
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The line segment goes through (-2,3) and (1,-3).
The slope of the line is
Therefore the equation of the line segment is of the form
y = -2x + b
Because the line segments goes through (-2,3), therefore
-2(-2) + b = 3
4 + b = 3
b = -1
Answer: The equation is y = -2x - 1
The slope of the line is
Therefore the equation of the line segment is of the form
y = -2x + b
Because the line segments goes through (-2,3), therefore
-2(-2) + b = 3
4 + b = 3
b = -1
Answer: The equation is y = -2x - 1
Answer:
Step-by-step explanation:
Hello!
The objective is to test if the population proportion of gamers that prefer consoles is less than 28% as the manufacturer claims.
Of 341 surveyed players, 89 said that they prefer using a console.
The sample resulting sample proportion is p'= 89/341= 0.26
If the company claims is true then p<0.28, this will be the alternative hypothesis of the test.
H₀: p ≥ 0.28
H₁: p < 0.28
α: 0.05
To study the population proportion you have to use the approximation of the standard normal ≈N(0;1)
This test is one-tailed left, i.e. that you'll reject the null hypothesis to small values of Z, and so is the p-value, you can obtain it looking under the standard normal distribution for the probability of obtaining at most -0.82:
P(Z≤-0.82)= 0.206
Using the p-value approach:
If p-value ≤ α, reject the null hypothesis
If p-value > α, don't reject the null hypothesis
The decision is to not reject the null hypothesis.
Then at a level of 5%, you can conclude that the population proportion of gamers that prefer playing on consoles is at least 28%.
I hope this helps!