Answer:
C.)
Step-by-step explanation:
The area formula:
Insert the values:
Use the distributive property:
:Done
The model represents an equation.
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<em><u>Question:</u></em>
Jenny is making tie-dyed shirts for her class with her school colors, blue and yellow. She used a total of 8 ounces of fabric paint. The amount of blue paint is 3 times the amount of yellow paint. Make a diagram to show the ratio of blue paint to yellow paint
<em><u>Answer:</u></em>
The ratio of blue paint to yellow paint is 3 : 1
<em><u>Solution:</u></em>
Let "x" be the amount of blue paint in ounces
Let "y" be the amount of yellow paint in ounces
<em><u>She used a total of 8 ounces of fabric paint</u></em>
Therefore,
x + y = 8 -------- eqn 1
<em><u>The amount of blue paint is 3 times the amount of yellow paint</u></em>
Amount of blue paint = 3 times the amount of yellow paint
x = 3y ------- eqn 2
<em><u>Substitute eqn 2 in eqn 1</u></em>
3y + y = 8
4y = 8
Divide both sides by 4
y = 2
<em><u>Substitute y = 2 in eqn 2</u></em>
x = 3(2)
x = 6
Therefore , the amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces
<em><u>Find the ratio </u></em>
To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint
Which means, of every 4 parts of paint, three parts are blue and one part is yellow
The diagram is attached below
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:
Where
is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
The confidence interval can be calculated using following formula:
Where
We know that standard deviation is simply a square root of variance:
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income: