Answer: 31
Step-by-step explanation:
To find the distance, find the difference between the number.
23 - (-8) = 31 So the distance is 31 units.
Note: To go from -8 to 23 you will have to add 31 to -8 and to go from 23 to -8 you will have to subtract 31 so the distance is 31
2t + 5b = 20
8t + 3b = 29
Multiply the first equation by-4
-8t -20b = -80
8t + 3b = 29
-17b = -51
b = 3
Plug 3 in for b into either equation and solve for t.
2t + 5(3) = 20
2t + 15 = 20
2t = 5
Divide both sides by 2
t = 2.50
Step-by-step explanation:
So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.
Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...
Step 2: Make sure all radicals are simplified. ...
Step 3: Simplify the fraction if needed.
Answer:
Accept the claim that mean = 8.2oz.
Step-by-step explanation:
Given that a company claims that its coffee cans contain 8.2 ounces of coffee, on average.
To check this, normally large samples are drawn and sample mean is calculated
Then hypotheses created as
H0: Mean = 8.2
Ha: Mean not equals 8.2
The std deviation of sample is found out and then 95% confidence interval is calculated.
If the sample mean falls within 95% confidence interval, then we are 95% confident that for large samples, the sample mean would fall within this interval. Also the claim can be accepted.
Hence conclusion is accept null hypothesis that mean = 8.2 oz.
