Answer:
And the 90% confidence interval would be between [566.80 and 579.20]
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=22 represent the sample standard deviation
n=36 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.90 or 90%, the significance would be and , and the critical value for this case would be
And replacing we got:
And the 90% confidence interval would be between [566.8033 and 579.1967]
Answer:
1) 180 is a straight line, so 180 - 118 = <em>62</em>
2) 180 degrees are in a triangle, so 180 - (62) - 73 = <em>45</em>
3) 180 is a straight line, so 180 - 73 = 107. There are 180 degrees in a triangle, so 180 - 49 - 45 = <em>86</em>
Answer:
145,000÷5=29000
or 14500÷5=2900
Step-by-step explanation:
To answer this question, you should set up and equation before doing anything else. So for this question you 're going to set up two equations.
The first equation is 2x+5y=33
The second equation is 8x+3y=30
Once you do that you have to solve for either X or Y by canceling out the other one. In this problem figuring out the Y is easier because you can cancel the X's more easily than the Y. To cancel a variable, they have to add up to 0.
So to cancel the X you multiply the equation 2x+5y=33 by -4.
That gives you -8x-20y= -132
Then you set up the two equations and add them together.
(-8x-20y= -132) + (8x+3y=30)
That gives you -17y = -102
So then you solve for Y by dividing by -17. You find out that Y is equal to 6. Then you plug the 6 back into the ORIGINAL equations and solve for X, which turns out to be 1.5
Hope this helped and if you get confused or have questions please ask :)
5 2/3 - 1 1/4
5-2 =3
2/3 - 1/4 = 8/12 - 3/12 = 5/12
answer is 3 5/12