9514 1404 393
Answer:
3) y = -1
5) x = -14
Step-by-step explanation:
The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.
__
3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:
y = -1
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5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:
x = -14
Answer:
(0.102, -0.062)
Step-by-step explanation:
sample size in 2018 = n1 = 216
sample size in 2017 = n2 = 200
number of people who went for another degree in 2018 = x1 = 54
number of people who went for another degree in 2017 = x2 = 46
p1 = x1/n1 = 0.25
p2 = x2/n2 = 0.23
At 95% confidence level, z critical = 1.96
now we have to solve for the confidence interval =
<h2>
</h2>
= 0.02 ± 1.96 * 0.042
= 0.02 + 0.082 = <u>0.102</u>
= 0.02 - 0.082 = <u>-0.062</u>
<u>There is 95% confidence that there is a difference that lies between - 0.062 and 0.102 on the proportion of students who continued their education in the years, 2017 and 2018.</u>
<u></u>
<u>There is no significant difference between the two.</u>
Answer:
y = 2x - 7
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 + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
To find c substitute (5, 3 ) into the partial equation
3 = 10 + c ⇒ c = 3 - 10 = - 7
y = 2x - 7 ← equation of parallel line
Answer:
No, you can't form a triangle because angles in a triangle add up to 180 degrees.
Step-by-step explanation:
100+50+50= 200 degrees, which means that you cant form a triangle with these measurements because angles in a triangle have to add up to 180 degrees.
Answer:
3240°
Step-by-step explanation:
For a regular icosagon,
sum of interior angles measure=180(n-2)°
180(20-2)
180(18)=3240°
