Answer:
The required confidence interval is (3.068,4.732)
Step-by-step explanation:
Consider the provided information.
He plans to use a 90% confidence interval. He surveys a random sample of 50 students. The sample mean is 3.90 alcoholic drinks per week. The sample standard deviation is 3.51 drinks and wants to construct 90% confidence interval.
Thus, n=50, 
=3.90 σ=3.51
Now find degree of freedom.
The confidence level is 90% and df=49
Therefore,
Now by using t distribution table look at 49 df and alpha level on 0.05.
Calculate SE as shown:
Now multiply 1.67653 with 0.4964
Therefore, the marginal error is: 1.67653 × 0.4964≈ 0.832
Now add and subtract this value in given mean to find the confidence interval.
Hence, the required confidence interval is (3.068,4.732)
We have the rational expression
; to simplify it, we are going to try to find a common factor in the numerator, and, if we are luckily, that common factor will get rid of the denominator
.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable
, and the least exponent of that variable is 1, so
will be the other part of our common factor. Lets put the two parts of our common factor together to get
.
Now that we have our common factor, we can rewrite our numerator as follows:
We are luckily, we have
in both numerator and denominator, so we can cancel those out:
We can conclude that the simplified version of our rational function is
.
Answer:
1,3,4,5,6,10,11,14,16,17,18,20
Step-by-step explanation:
I've been there so many times. Hope you have a great day!
Answer:
A. 1 25/42
Step-by-step explanation: =-3 5/6 +5 3/7
= (-23/6)+ (38/7)
=(-161+228)/42
=-67/42
Answer:
The fourth choice.
Step-by-step explanation:
Because since 90 miles is basically counted as your first day, you do the number of days, n, minus 1 and then multiply it by 5 to find the number of miles walked after the first day. Then you add it to 90.
