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
The factored expression which represents the net change in the number of blog subscriptions over 10 months is :
- 3(11 - 7) + 4(-8)
- Hence, the net change is -20
Change : -8, 11, -7, -7, -7, -8, -8, -8, 11, 11
To factor the values in the change variable :
-7 has a frequency of 3
-8 has a frequency of 4
11 has a frequency of 3
Values having the same frequency can be factored together :
Hence, we have ;
3(11 - 7) = 3(11 - 7) = 3(4) = 12 - - - - (1)
-8 having a value of 4 can be factored thus ; 4(-8) = -32 - - (2)
Joining both equations :
3(11-7) + 4(-8)
3(11 - 7) + 4(-8)
3(4) + 4(-8)
12 + (-32)
= - 20
Therefore, the factored expression for the net change in subscription is 3(11-7) + 4(-8)
Learn more :brainly.com/question/18904995
Answer:

Step-by-step explanation:
Step 1: Expand by distributing sum groups.

Step 2: Expand by distributing terms.

Step 3: Expand by distributing terms.

Step 4: Collect like terms.

Step 5: Simplify.

Answer:
1/6 + 4/6 = 5/6
Step-by-step explanation:
I hope this helped
Answer:
$38.40
Step-by-step explanation:
to get your total you multiply
48 x 20% =9.60
then you subtract 48.00 - 9.60 = $38.40