<span>supplementary angles sum = 180
</span>lets x = measure of angle Y
x + 3x = 180
4x = 180
x = 45
angle Y = 45
angle X = 3 x 45 = 135
answer
Angle X = 135
Answer:
Distance around the circle is perimeter.
Perimeter = radius * 2 * π = diameter * π
Step-by-step explanation:
π = constant =3.14
Answer:
just look at the decimal after the decimal number is the tenths place the hundreds place and so on if i have to round 567.1092 i would round the nine up to make the zero a one so my rounded answer would be 567.11
Step-by-step explanation:
Answer:
I gave you most of the answer. I'll let you check my work and find the point using the solution.
Step-by-step explanation:
The first thing we do is we divide by negative one in the first equation to get
y = -x.
-3x + 3y = -36
Plug in y = -x and get
-3x + 3(-x) = -36
= -3x - 3x = -36
This equals -6x = -36
divide both sides by -6 and you get 6. 6 is your x value
Plug 6 back in to the second equation.
-3x + 3y = -36
-3(6) + 3y = -36
-18 + 3y = -36
3y = -18
y = -6
Answer:
a) Margin of error = 166.311
b) sample size ≥ 62
Step-by-step explanation:
Given:
Average cost = $1599
Sample size = 50 persons
Standard deviation = $600
Confidence level is 95%
a) Margin of error = ![z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Now for confidence level of 95% z-value = 1.96
Thus,
Margin of error = ![1.96\frac{600}{\sqrt{50}}](https://tex.z-dn.net/?f=1.96%5Cfrac%7B600%7D%7B%5Csqrt%7B50%7D%7D)
or
Margin of error = 166.311
b) For Margin of error ≤ 150
≤ 150
or
≤ 150
or
≤ √n
or
√n ≥ 7.84
or
n ≥ 61.4656
Therefore,
sample size ≥ 62