Answer:
Step-by-step explanation:
Given that in the weekly ad 5 pound bag of organic apples will cost 13.95 dollars
To find unit rate
Unit rate can be found in two ways either cost of 1 apple or no of apples for 1 dollars
I part:
5 apples = 13.95 dollars
1 apple = 13.95/5 (since direct variation)
Unit rate for one apple= 2.79 dollars
Part II:
13.95 dollars = 1 apple
1 dollar = 1/13.95 = 0.071
=0.07
But normally since apples are countable as 1,2 ... we use the first type of rate only unit rate per apple
Answer:
10x + 12 and 6x² + 11x - 7
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is length and w is width )
= 2(2x - 1) + 2(3x + 7) ← distribute parenthesis
= 4x - 2 + 6x + 14 ← collect like terms
= 10x + 12
--------------------------------------------------
The area (A) of a rectangle is calculated as
A = lw
= (2x - 1)(3x + 7) ← expand using FOIL
= 6x² + 14x - 3x - 7 ← collect like terms
= 6x² + 11x - 7
Answer:
And the 90% confidence interval would be between [566.80 and 579.20]
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=22 represent the sample standard deviation
n=36 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.90 or 90%, the significance would be and , and the critical value for this case would be
And replacing we got:
And the 90% confidence interval would be between [566.8033 and 579.1967]
Answer:
|AB|=
Step-by-step explanation:
A(-11,8) and B(-5,22)
|AB|=
|AB|=
|AB|==
Answer: 8008
Step-by-step explanation:
Total entrees = 16
Number of entrees to choose = 6
Since order does not matter , so we combinations .
Number of combinations to choose r things out of n =
Then, total ways to choose 6 entrees =
Hence, the required number of ways= 8008