The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.
Step-by-step explanation:
Let,
Cost of one French silk cheesecake = x
Cost of one apple cheesecake = y
According to given statement;
8x+y=54 Eqn 1
3x+y=29 Eqn 2
Subtracting Eqn 2 from Eqn 1
Dividing both sides by 5
Putting x=5 in Eqn 1
The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.
Keywords: linear equation, subtraction
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Answer:
The sample mean is min.
The sample standard deviation is min.
Step-by-step explanation:
We have the following data set:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.
The formula for the mean of a sample is
where, is the number of values in the data set.
The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.
To find standard deviation we use the following formula
The mean of a sample is .
Create the below table.
Find the sum of numbers in the last column to get.
Answer:
62°
Step-by-step explanation:
The angle R inscribes the arc FQ, so using the property of inscribed angles in a circle, we have that:
m∠R = mFQ / 2
The arc FQ is the sum of the arcs FP and PQ, so we have:
mFQ = mFP + mPQ = 11x + 7 + 60 = 11x + 67
Now, with the first equation, we have:
12x + 1 = (11x + 67) / 2
24x + 2 = 11x + 67
13x = 65
x = 5°
So we have that mFP = 11x + 7 = 55 + 7 = 62°
Width=w
length=(40-2w)/2=20-w
A=w(40-w)
A=40w-w²
A'=40-2w=0
2w=40
w=20
20x20 is the size of the pen having the greatest area. this tells us the largest rectangle for a given perimeter is a square