Answer:
pq = 7
Step-by-step explanation:
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = p(5, 4) and (x₂, y₂ ) = q(- 2, 4)
pq =
=
=
= 7
Which system of inequalities has this graph as it’s solution
1 answer:
Answer:
Option (B)
Step-by-step explanation:
In the graph attached,
Two lines graphed have the equations as,
y = 2x - 3 [A line having y-intercept as (-3)]
[Line having y-intercept as (4)]
Since both the lines have been represented by the dotted lines therefore, these lines will represent the inequalities [having the signs less than (<) or greater than (>)].
Now shaded region will decide the signs of the inequalities.
Since, shaded region of y = 2x - 3 is on the left side, inequality showing this region will be,
y > 2x - 3
Since, shaded region of is above the line, inequality showing this region will be,
Therefore, Option (B) will be the answer.
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Answer:
For this case we want to determine if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than .66 (a;ternative hypothesis) and then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And the estimated proportion for this case would be:
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to determine if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than .66 (a;ternative hypothesis) and then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And the estimated proportion for this case would be: