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3 years ago

Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.

Mathematics

2 answers:

sergey [27]3 years ago

8 0

2/5 and 3/4 need the same second half so 2/5 and 3/4 = 8/20 and 15/20

15/20 - 8/20 - 7/20.

Sarah practiced 7/20 of an hour more than Eloise.

This can not be simplified.

Paha777 [63]3 years ago

6 0

7/12.

Math isn't my best subject, sorry if incorrect.

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Describe how to find the sale price of an item that has been discounted 25%.

Anit [1.1K]

Answer:

Multiply the original price by 75% to find the sale price.

Step-by-step explanation:

100 - 25 = 75%

7 0

3 years ago

"Select the equation of the least squares line for the data: (34.0, 1.30), (32.5, 3.25), (35.0, .65), (31.0, 6.50), (30.0, 5.85)

yulyashka [42]

Answer:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

Step-by-step explanation:

We assume that the data is this one:

x: 34.0, 32.5, 35.0, 31.0, 30.0, 27.5, 29.0

y: 1.30, 3.25, 0.65, 6.50, 5.85, 8.45, 6.50

Find the least-squares line appropriate for this data.

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

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

Where:

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

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

So we can find the sums like this:

$\sum_{i=1}^n x_i = 34.0+ 32.5+ 35.0+ 31.0+ 30.0+ 27.5+ 29.0
=219$

$\sum_{i=1}^n y_i =1.3+3.25+0.65+6.5+5.85+8.45+6.5=32.5$

$\sum_{i=1}^n x^2_i = 34.0^2+ 32.5^2+ 35.0^2+ 31.0^2+ 30.0^2+ 27.5^2+ 29.0^2
=6895.5$

$\sum_{i=1}^n y^2_i =1.3^2+3.25^2+0.65^2+6.5^2+5.85^2+8.45^2+6.5^2=202.8$

$\sum_{i=1}^n x_i y_i =34*1.3 + 32.5*3.25+ 35*0.65+ 31*6.5+30*5.585 +27.5*8.45 +29*6.5=970.45$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6895.5-\frac{219^2}{7}=43.929$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=970.45-\frac{219*32.5}{7}=-46.336$

And the slope would be:

$m=-\frac{46.336}{43.929}=-1.055$

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

$\bar x= \frac{\sum x_i}{n}=\frac{219}{7}=31.286$

$\bar y= \frac{\sum y_i}{n}=\frac{32.5}{7}=4.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=4.643-(-1.055*31.286)=37.643$

So the line would be given by:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

5 0

4 years ago

Help me on this someone

telo118 [61]

Answer:

how to get a mean of the data in the morning and after some time

6 0

3 years ago

A car has 24 miles per gallon, how far can a car travel on 14.5 gallons of gas<br>

True [87]

Answer:

348 miles

Step-by-step explanation:

24 multiplied by 14.5 equals 348

5 0

3 years ago

Read 2 more answers

Sometimes integers are encoded by using four-digit binary expansions to represent each decimal digit. this produces the binary c

wolverine [178]

<span>You're wasting a whole lot of possible 'space' in that encoding solution, but the answer is 4n. </span>

4 0

4 years ago