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3 years ago

What is 0.75 as a mixed number

Mathematics

1 answer:

OLga [1]3 years ago

5 0

Answer:

3/4

Step-by-step explanation:

Start by putting 75 over 100 because it is in the hundredths place.

$\frac{75}{100}$

Now you need to simplify. I'm going to start by dividing by 5.

75 divided by 5=15

100 divided by 5=20

Looking at what we have left you can see it's still not simplified so we can divide by 5 again.

15 divided by 5=3

20 divided by 5=4

This gives us $\frac{3}{4}$ as the end result because nothing else other than one goes into both evenly.

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A bag contains yellow marbles and blue marbles, 37 in total. The number of yellow marbles is 7 more than 5 times the number of b

Mazyrski [523]

Answer:

Step-by-step explanation:

let b represent the number of blue marbles then

yellow = 5b + 7 and

b + 5b + 7 = 37, that is

6b + 7 = 37 ( subtract 7 from both sides )

6b = 30 ( divide both sides by 6 )

b = 5

Thus there are 5 blue and 5(5) + 7 = 25 + 7 = 32 yellow marbles

5 0

3 years ago

On Friday, Leslie sold 9 3/8 pitchers of lemonade from her lemonade stand. On Saturday, she sold 3 times as much lemonade as on

shtirl [24]

Answer:

28 1/8

Step-by-step explanation:

8 0

3 years ago

2.85 as a mixed number

Phoenix [80]

$2.85=2+0.85=2+ \frac{85}{100} =2+ \frac{5*17}{5*20} =2+ \frac{17}{20} =2\frac{17}{20}$

I hope you got the idea

3 0

3 years ago

An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

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

Where:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

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

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

3 years ago

What does range mean in maths

Karo-lina-s [1.5K]

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

4 0

3 years ago

Read 2 more answers