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Helen [10]
3 years ago
5

Mr. Rivera pours 2 cups of blue paint into a jar for each art station. How many jars can

Mathematics
1 answer:
Semmy [17]3 years ago
6 0

Given :

Mr. Rivera pours 2 cups of blue paint into a jar for each art station.

1 cup = 8 ounces.

1 gallon = 128 ounces.

To Find :

How many jars can  he fill with 1 gallon of blue paint.

Solution :

Since, a jar is filled with 2 cups.

1 jar = 2 × 8 = 16 ounces.

So, number of jars required to fill 1 gallon of blue paint is :

n=\dfrac{128}{16}\\\\n=8

Therefore, 8 jars are required to fill 1 gallon of blue paint.

Hence, this is the required solution.

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33 Pieces total

Step-by-step explanation:

4 0
3 years ago
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The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data
Makovka662 [10]

Answer:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

\bar x= \frac{\sum x_i}{n}

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

And the model obtained for this case is:

y = -3.4 +5.2 x

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

r^2 = (-0.66)^2 = 0.4356

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

8 0
3 years ago
A student was asked to name all values of n that make the relation a function. Correct the error.
natta225 [31]

Answer:

1,2,3,

Step-by-step explanation:

I GOT THE ANSWER WRONG AND IT TOLD ME THE CORRECT ANSWER

3 0
3 years ago
Please help. I have no idea how to do this. Find the measure of
vagabundo [1.1K]

m∠A = 40

Step-by-step explanation:

Given AB =AC and  m∠B = 70

Since AB =AC , Triangle ABC is an isosceles Triangle and the corresponding angles B and C are equal.

So m∠B = m∠C = 70

The sum of the 3 Angles of a triangle is 180°.

=> m∠A  + m∠B + m∠C = 180

=> 140 + m∠C = 180

=> m∠C = 40

Hence the answer is  m∠C = 40

6 0
3 years ago
1 1/5 to the power of 3-1
Angelina_Jolie [31]
This is 6/5 to the 2 (6/5 squared). 36/25 is the answer
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3 years ago
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