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Phoenix [80]
3 years ago
8

Can someone help me with Question 1 Please? I forgot how to do it- Also, No links please!​

Mathematics
2 answers:
koban [17]3 years ago
5 0

Answer:

\frac{5}{6}

Step-by-step explanation:

Hi there!

We are given the following expression:

\frac{1}{6} ÷\frac{1}{5}

And we would like to solve it

Whenever we are dividing fractions, we are actually multiplying the first fraction (in this case, 1/6) by the reciprocal of the second fraction (in this case, 1/5), which is the "flipped" version of that fraction; the value that is in the numerator becomes the value in the denominator, and the value in the denominator becomes the value in the numerator.

So the reciprocal of 1/5 is 5/1, or 5/1

So we will multiply 1/6 by 5

\frac{1}{6} * 5 = \frac{5}{6}

The fraction is in the simplest form; 5/6 is the answer.

Hope this helps!

kobusy [5.1K]3 years ago
5 0
1/6 divided by 1/5
When dividing fractions we keep the first fraction the same , change the sign to multiplication and flip second fraction. Some teachers use KCF (keep change flip) as a way for students to remember .
So let’s do it :
1/6 x 5/1 = 5/6
Your answer is 5/6
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11. Write the equation of the line in slope-intercept form that is parallel to the line y = - 4x + 2 and
notsponge [240]

Answer:

y= -4x                                                                                                                                                                                      

Step-by-step explanation:

hope this helps and lmk if you need anything!

5 0
3 years ago
The data below represent the number of days​ absent, x, and the final​ grade, y, for a sample of college students at a large uni
Zina [86]

Answer:

The equation of the regression line is: y~=~88.518 ~-~ 3.068 \cdot x

Step-by-step explanation:

Linear regression is a linear approach to modelling the relationship between a dependent variable and one or more independent variables.

Let X be the independent variable and Y be the dependent variable. We will define a linear relationship between these two variables as follows:

Y=bX+a

We have the the following data:

\begin{array}{c|cccccccccc}No. \:of \:absences,\:x&0&1&2&3&4&5&6&7&8&9\\Final \:grade, y&88.5&85.7&82.8&80.3&77.4&73.1&63.6&68.1&65.2&62.4\end{array}

To find the line of best fit for the points, follow these steps:

Step 1: Find X\cdot Y and X\cdot X as it was done in the table.

Step 2: Find the sum of every column:

\sum{X} = 45 ~,~ \sum{Y} = 747.1 ~,~ \sum{X \cdot Y} = 3108.8 ~,~ \sum{X^2} = 285

Step 3: Use the following equations to find intercept a and slope b:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 747.1 \cdot 285 - 45 \cdot 3108.8}{ 10 \cdot 285 - 45^2} \approx 88.518 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 10 \cdot 3108.8 - 45 \cdot 747.1 }{ 10 \cdot 285 - \left( 45 \right)^2} \approx -3.068\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~a ~+~ b \cdot x \\y~&=~88.518 ~-~ 3.068 \cdot x\end{aligned}

The graph of the regression line is:

4 0
3 years ago
Diana has a pentagonal garden with the dimensions shown in the diagram. What is the area of Diana’s garden?
Naily [24]

Answer:

n, vsfd

Step-by-step explanation:

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3 years ago
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amm1812

Answer:

Step-by-step explanation:

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3 years ago
A pair of shoes usually sells for $61. If the shoes are 40% off, and sales tax is 8%, what is the total price of the shoes, incl
Pie

Answer:

3952.8$

Step-by-step explanation:

61$ : 100 = x : 60% (since it is 40% off, the remaining is 60% of the price)

100x : 61 x 60

100x : 3360

3360 divided by 100

x = 36.6

36.6 : 100% = x 108%

100x : 36.6 x 108

x = 3952.8

3952.8 divided by 100

39.528

6 0
3 years ago
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