Answer:
critical value = 1.645
The 90% confidence interval = ( -22.62, -17.58)
Step-by-step explanation:
Given that:
the sample size 
= 178
the sample size 
= 226
the sample mean 
= 54.4
the sample mean 
= 74.5
population standard deviation 
= 18.58
population standard deviation 
= 9.52
level of significance ∝ = 1 - 0.90 = 0.10
The critical value for 
is 1.645
For the construction of our confidence interval, we use 90% since that is used to find the critical value.
∴
The margin of error = 
2.52
The lower limit = 
= ( 54.4-74.5) - (2.52)
= -20.1 - 2.52
= -22.62
The upper limit = 
= ( 54.4-74.5) + (2.52)
= -20.1 + 2.52
= -17.58
The 90% confidence interval = ( -22.62, -17.58)
Answer: 1
Step-by-step explanation:
Experimental probability is the actual result you get from an experement.
Theoretical probability is the change that you will get that result.
(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)
therefore,
1/6 is the Theoretical probability because you are using a six-sided number cube.
for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.
1/6 equals 8/48.
therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.
6 is not one of the answer choices listed so 1 must be your answer.
The slope perpendicular to an undefined slope is: 0
Example:
x = 5 is a vertical line and has an undefined slope.
The line perpendicular to it is y = <em>any value</em> which has a slope of 0.
I hope this makes sense. If not, please post the homework question so we can help you find the circumcenter.
2.5 is the answer because you need to divide 80 by 32 to get the answer 2.5. so now multiply 2.5 by 32 and if you get 80 that means your answer is correct
