Answer:
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
Step-by-step explanation:
Information given
represent the sample mean
population mean
s= 5.2 represent the sample standard deviation
n=59 represent the sample size
Confidence interval
The confidence interval for the true mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence interval is 0.90 or 90%, the significance is
and
, and the critical value is
Now we have everything in order to replace into formula (1):
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
Hello!
The least common denominator is like the least common multiple. As you can see, these numbers already have the same denominators, and cannot be divided any further as they are prime.
Therefore, our answer is 3.
I hope this helps!
Answer: THE LAST OPTION
Step-by-step explanation:
1. You have the following equation given in the problem:

2. If you multiply both sides of the equation shown above by 6, you obtain the following:


3. When you simplify the equation, you obtain the following equivalent equation:

Hey there! I'm happy to help!
Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. We already have the slope, so our equation so far is y=3/2x+b. We just need to find the b for it to be complete.
To do this, we plug in a point on the line and solve for b. We have a point (-3,-4), so let's use it and solve.
-4=3/2(-3)+b
Undo parentheses.
-4=-9/2+b
Add 9/2 to both sides
b=1/2
Therefore, our equation is y=3/2x+1/2.
Have a wonderful day! :D