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2 years ago

13

Rachel bought a sweater at the sale price of $38. The original cost of the sweater was $52. What percent represents the discount

that Suzanne received when buying the sweater?

1 answer:

pentagon [3]2 years ago

3 0

Answer:77

Step-by-step explanation:

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Rena is building a 1:1801:1801, colon, 180 scale model of a real castle. Her model has a rectangular base that is 333 feet wide

liubo4ka [24]

Answer:

388,800 ft^2.

Step-by-step explanation:

Scale = 1 : 180

Actual length, Ls = 180 × 4

= 720 ft

Actual width, Bs = 180 × 3

= 540 ft

Area of a rectangle = Ls × Bs

= 540 × 720

= 388,800 ft^2.

7 0

2 years ago

The following table shows the annual income, in dollars, and amount spent on vacation, in dollars, for a sample of 8 families.

marishachu [46]

Answer:

a. Scatterplot is attached.

b. Positive Correlation

c. Correlation coefficient=0.9219

Step-by-step explanation:

a.

The following procedure will be used to obtain the scatter plot

Open an Google Sheets file online or excel sheet on your computer.
In column B and C, enter the Income and Vacation data as provided above.
Select the data > click on insert CHART.
Chose Scatter Chart option

Click OK.

A scatter plot visualizing your data should be displayed as attached.

b.

On your computer, open a spreadsheet in Google Sheets.
Double-click on your scatter plot.
At the right, click on Customize tab and then Series.
Scroll down and check the Trend line box

-From the trend line, your notice that your variables have a positive correlation.

-As the income increases, so does vacation expenditure.

c. The correlation coefficient can be calculated as follows.

Click on any empty cell in the sheet and enter the formula
"=CORREL((y-axis range),(x-axis range))"
ENTER

-From our Google Sheets calculation our variables have a positive correlation and the correlation coefficient is 0.9219

-The correlation coefficient,r can also be calculated manually:

-let x be income, and y be vacation and divide all the values by 100 to make the smaller and easier to manipulate:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2}}\\\\\\\sum xy=153914\\\sum x=4485\\\sum y=246\\\sum x^2=2878447\\(\sum x)^2=4485^2=20115225\\(\sum y)^2=246^2=60516\\\sum y^2=8392\\n=8\\\\\#substitute \ and \ solve \ for \ r\\\\=\frac{8\times153914-4485\times 246}{\sqrt{[8\times 2878447-4485^2][8\times 8392-246^2]}}\\\\=0.92186\\\\\approx 0.9219$

4 0

2 years ago

Lucinda began the year with a certain balance in her bank account. During the first month, she made 3 withdrawals of $25 each. D

ryzh [129]

A and D !!!!!!!!!!!!!!

7 0

2 years ago

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What is the slope of the following 12x - 6y = 30

blagie [28]

Answer:

$slope = m = 2$

6 0

2 years ago

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At the county fair, the operator of a game guesses a contestant’s weight. For each pound the operator’s guess differs from the c

BartSMP [9]

Answer: $| x - \frac{15}{3} | = 120$ or $\frac{1}{3}| 3 x - 15|= 120$ or $| 3x - 15| = 360$ or $| x - 5 | = 120$

Step-by-step explanation:

Since, According to the question,

For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive $3.

And, If a contestant weighing x pounds received $15

Then the guessed weight of contestant = $| x - \frac{15}{3} |$

But, Again according to the question,

The guessed weight is 120 pounds,

Thus, $| x - \frac{15}{3}|= 120$

⇒ $\frac{1}{3}| 3 x - 15|= 120$

⇒ $| 3x - 15|= 3\times 120$ (by multiplying 3 on both sides)

⇒ $| 3x - 15|= 360$

⇒ $3| x - 5|= 360$

⇒ $| x - 5|= 120$ ( On dividing both sides by 3 )

4 0

2 years ago

Read 2 more answers