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katrin2010 [14]

2 years ago

3

Maya is buying decorations for school banquet she needs flowers to make centerpieces the flowers come in packages of 12 and cost

$2.50 per package using the ratio find the cost of 60 flowers

1 answer:

castortr0y [4]2 years ago

4 0

Probably 150 not for sure I

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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

Does the type of program people watch influence how much they eat? A total of 94 college students were randomly assigned to one

jolli1 [7]

Answer:

Television has been accused of helping people gain weight because it encourages a sedentary lifestyle. Television is like other entertaining activities that can get people to eat more, including reading, listening to the radio, and interacting with dinner mates.

8 0

2 years ago

Part A: During what interval(s) of the domain is the water balloon's height increasing?

Advocard [28]

Answer:

The answer is below

Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A: During what interval(s) of the domain is the water balloon's height increasing?

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet

Part B: During what interval(s) of the domain is the water balloon's height staying the same?

Between 2 and 4 seconds, the height remains the same at 75 feet. Also from 10 seconds the height of the balloon is at 0 feet

Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest?

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet (i.e. -17.5 ft/s)

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet (i.e. -10 ft/s)

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet (i.e. -10 ft/s)

Hence it decreases fastest from 4 to 6 seconds

Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds

From 10 seconds, the balloon is at the ground, so it remains at the ground (0 feet) even at 16 seconds

6 0

2 years ago

The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5mi

Vlada [557]

<h2>Answer:</h2>

In the 5th year

<h2>Step-by-step explanation:</h2>

For the first year, the salary is 1.2million = 1,200,000

For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000

.

.

.

For the last year, the salary is 1.5million = 1,500,000

This gives the following sequence...

1,200,000 1,275,000 . . . 1,500,000

This follows an arithmetic progression with an increment of 75,000.

<em>Remember that,</em>

The last term, L, of an arithmetic progression is given by;

L = a + (n - 1)d ---------------(i)

<em>Where;</em>

a = first term of the sequence

n = number of terms in the sequence (which is the number of years)

d = the common difference or increment of the sequence

<em>From the given sequence,</em>

a = 1,200,000 [which is the first salary]

d = 75,000 [which is the increment in salary]

L = 1,500,000 [which is the maximum salary]

<em>Substitute these values into equation (i) as follows;</em>

1,500,000 = 1,200,00 + (n - 1) 75,000

1,500,000 - 1,200,000 = 75,000(n-1)

300,000 = 75,000(n - 1)

$\frac{300,000}{75,000} = n - 1$

4 = n - 1

n = 5

Therefore, in the 5th year the maximum salary will be reached.

3 0

2 years ago

Which of the following terms correctly describe the object below. Check all that apply

mars1129 [50]

Answer:

Option a,d and e are correct.

Step-by-step explanation:

Pyramid is the figure in which every base and apex forms triangle.

Polygon is two dimensional figure with straight lines.

Square is a figure in which all four sides are equal.

Solid is a three dimensional figure.

Polyhedron is a three dimensional figure with straight edges and sharp corners.

Prism is a polyhedron with parallel bases.

The given figure is:

Pyramid

Solid

Polyhedron

4 0

2 years ago

Read 2 more answers