Answer:
22
Step-by-step explanation:
x + 90 + 68 = 180
x + 158 = 180
x = 22
Answer:
a) [24.114,29.2858]
b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP
Step-by-step explanation:
a)
The 95% confidence interval is given by the interval
![\bf [ \bar x-z^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]](https://tex.z-dn.net/?f=%20%5Cbf%20%5B%20%5Cbar%20x-z%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%2C%20%5Cbar%20x%2Bt%5E%2A%5Cfrac%7Bs%7D%7B%5Csqrt%20n%7D%5D)
where
= 26.7 is the sample mean
s = 17.7 is the sample standard deviation
n = 180 is the sample size
Since the sample size is big enough, we can use the Normal N(0,1) to compute 
and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))
and our 95% confidence interval is
![\bf [26.7-1.96*\frac{17.7}{\sqrt{180}}, 26.7+1.96*\frac{17.7}{\sqrt{180}}]=\boxed{[24.114,29.2858]}](https://tex.z-dn.net/?f=%20%5Cbf%20%5B26.7-1.96%2A%5Cfrac%7B17.7%7D%7B%5Csqrt%7B180%7D%7D%2C%2026.7%2B1.96%2A%5Cfrac%7B17.7%7D%7B%5Csqrt%7B180%7D%7D%5D%3D%5Cboxed%7B%5B24.114%2C29.2858%5D%7D)
(*)
This value can be computed in Excel with
<em>NORMINV(1-0.025,0,1)</em>
and in OpenOffice Calc with
<em>NORMINV(1-0.025;0;1)</em>
b)
Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP
Answer:
Step-by-step explanation:
There are two. This can be factored which will find both of them.
y = (x - 3)(x - 1)
x - 3 = 0
x - 3 + 3 = 3
x - 1 = 0
x - 1 + 1 = 1
x = 1
The zeros are (3,0) and (1,0)
Here we have some problems about circles, the solutions are:
- a) 490.6 yd^2
- b) x = 15
- c) x = 27
<h3>
How to find the area of a circle?</h3>
We know that for a circle of diameter D, the area is given by:
A = pi*(D/2)^2
where pi = 3.14
In the image we can see that the diameter of the circle is 25 yd, replacing that in the area equation we get:
A = 3.14*(25yd/2)^2 = 490.6 yd^2
<h3>How to find the value of x?</h3>
<u>For the second image</u>, each line creates two 180° angles. So, if we look at the tilted line, we can see that it is divided in two angles, one of 37° and the other that depends of x, so we can write:
180° = 37° + (9x + 8)°
180° - 37° - 8° = (9x)°
135°/9° = x = 15
So the value of x is 15.
For the last image:
Notice that we have a 90° angle denoted, then <u>the other 3 sections must add up to 270°.</u>
270° = 54° + (2x + 21)° + (5x + 6)°
Now we solve this for x:
270 - 54 - 21 - 6 = 2x + 5x
189 = 7x
189/7 = x = 27
x is equal to 27
If you want to learn more about circles, you can read:
brainly.com/question/25306774
Answer:
Ah I-ready. I think maybe the second one
Step-by-step explanation:
