Answer:
392
Step-by-step explanation:
Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.
Extend lines XQ, YR, YS and XP and mark their intersection as A and B.
Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore
- all angles of the quadrilateral XAYB are right angles
- all sides of XAYB are congruent and equal to 6 + 8 = 14 units.
Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,
Answer:
6 years
Step-by-step explanation:
First, you need to write an equation for this problem. I'll write it in slope intercept:
y = mx + b
where m is the slope and b is the y-intercept
To find m, do (change in y/change in x):
using (2, 59000) and (5, 72500),
(72500 - 59000) / (5 - 2)
= 13500 / 3
= 4500
So we have y = 4500x + b
To find b, plug in one of the points into the equation with the slope:
using (2, 59000),
y = 4500x + b
59000 = 4500(2) + b
59000 = 9000 + b
50000 = b
So now you have an equation: y = 4500x + 50000. Now that there is an equation, just insert the given y-value and solve:
when y = 77000
y = 4500n + 50000
= 77000 = 4500x + 50000
= 27000 = 4500x
= 6 = x
So, when Claire's Salary is 77000, her number of years at the company is 6.
Null hypothesis: 
Alternative hypothesis: 
The null is based on a recent study that 81% of the population (in this case senior citizens) takes at least one medication. The alternative hypothesis is basically the flip of the claim made in the null.
If Amelia wanted to know if the percentage was less than 81%, then the alternative would be p < 0.81
If Amelia wanted to know if the percentage was larger than 81%, then the alternative would be p > 0.81
However, she wants to know if the percentage is 81%.
Answer: they had a bad reputation
Step-by-step explanation:
