Answer:
Part 1) The units rates are
A)
B)
C)
D)
Part 2) The best buy is the size 48 1/4 oz
Step-by-step explanation:
we know that
To find out the unit rate divide the total cost by the total volume
Part 1) Calculate the unit rate for each size
case A) we have
8 1/2 ounce bottle costs $0.99
Convert mixed number to an improper fraction
Find the unit rate
case B) we have
18 2/2 oz. bottle costs $1.49
Convert mixed number
Find the unit rate
case C) we have
48 1/4 oz. carton costs $2.49
Convert mixed number to an improper fraction
Find the unit rate
case D) we have
64 3/4 oz. carton costs $3.75
Convert mixed number to an improper fraction
Find the unit rate
Part 2) which size is the best buy
we know that
The best buy is the one with the smallest unit rate
so
The best buy is the size 48 1/4 oz
Answer:
C = 79, B = 26 degrees
Step-by-step explanation:
tan C = 5.1323
To find C you use your calculator . Press tan-1 ( or it might be arctan) then the value 5.1323 Then ENTER.
C = 79 degrees to nearest degree.
cos B = 0.8954
B = 26 degrees
Answer:
The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).
Critical value t=1.318
Step-by-step explanation:
We have to calculate a 80% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=0.165.
The sample size is N=25.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
The degrees of freedom for this sample size are:
The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).
If X is between P and Q, then PQ is the whole line segment and XQ and XP are line segments that add up to PQ. Therefore, you can make an equation where XQ and XP add up to PQ.
XQ + XP = PQ
(3k) + (7k - 2) = 6k + 18
Combine like terms.
10k - 2 = 6k + 18
Add 2 to both sides.
10k = 6k + 20
Subtract 6k from both sides.
4k = 20
Divide both sides by 4.
k = 5
Plug 5 for k into XP.
XP = 7(5) - 2 ⇒ 35 - 2
XP = 33