A line that passes through th epoints (2,3) and (b,7) is parallel to the line y = -2x + 17. Find the value of b
1 answer:
Answer:
b = 0
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 2x + 17 is in this form with slope m = - 2
• Parallel lines have equal slopes, hence
slope of line through the 2 points is - 2
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (b, 7)
m = =
, hence
= - 2 ( cross- multiply )
- 2(b - 2) = 4
- 2b + 4 = 4 ( subtract 4 from both sides )
- 2b = 0 ⇒ b = 0
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Answer:
there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.
Step-by-step explanation:
Given that:
A marketing organization claims that more than 10% of its employees are paid minimum wage.
The null hypothesis is:
The alternative hypothesis is:
If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted
i.e Decision Rule: fails to reject the null hypothesis
Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.