Amount of flour used in bread recipe = 
cups
Amount of flour used in muffin recipe = 
cups
We have to determine how much more flour is in the recipe.
Since, more amount of flour is used in bread recipe than in muffin recipe.
Total amount of more flour = 
= 
= 
= 
Therefore, more cup of flour is used in bread recipe than in muffin recipe.
Now, we will determine the total amount of flour used in both recipe.
Total amount of flour used in bread and muffin recipe
= 
= 
=
= 6 cups
Therefore, total 6 cups of flour are used in both the recipes.
By geometry, there is a relationship between the tangent PA and the segments PB and PE, namely
PA^2=PB*PE
so
PE=PA^2/PA=6^2/4=9
BE=PB-PE=9-4=5
Answer:
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Step-by-step explanation:
Answer:
(5.240 ; 8.760)
Step-by-step explanation:
Given :
Sample mean, xbar = 7
Standard deviation, s = 2.29
Sample size, n = 9
95% confidence interval for the population mean :
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 0.05 ; df = 8 = 2.306
Margin of Error = 2.306 * 2.29/sqrt(9)
Margin of Error = 1.760
Lower boundary = (7 - 1.760) = 5.240
Upper boundary = (7 + 1.760) = 8.760
(5.240 ; 8.760)
The smaller number is 15 and larger number is 36.
Step-by-step explanation:
Let,
Smaller number = x
Larger number = y
According to given statement;
The sum of two numbers is 51.
x+y = 51 Eqn 1
Four times the smaller number is 24 more than the larger number.
4x = y+24
4x - 24 = y
y = 4x-24 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 5
Putting x=15 in Eqn 2
The smaller number is 15 and larger number is 36.
Keywords: linear equation, substitution
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