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dusya [7]
3 years ago
5

Timothy bought groceries two days during the week: • Timothy purchased $11.25 worth of groceries and paid $12.15 after taxes on

Monday • Timothy paid $59.13 after taxes on a purchase of groceries that cost $54.75 on Friday Which equation models the relationship between the cost of groceries after taxes, and the cost of groceries before taxes?​
Mathematics
1 answer:
butalik [34]3 years ago
5 0

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let me help out.

Timothy purchased $11.25 worth of groceries and paid $12.15 after taxes on Monday.

We would solve this using direct proportion.

y = kx.

12.15 = 11.25k

k = 12.15 / 11.25

k = 1.08

Timothy paid $59.13 after taxes on a purchase of groceries that cost $54.75 on Friday.

y = kx.

59.13 = 54.75k

k = 59.13 / 54.75

k = 1.08

The equation that models the relationship will be:

y = 1.08x

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const2013 [10]

Answer:

x = 12.48

y = 13.22

Step-by-step explanation

Im not sure if its correct

10^2 + b^2 = 16^2

100 + b^2 = 256

b^2 = √156

b = 12.48

b= 12 ( If needed to round to the nearest whole number)

a^2 + 15^2 = 20^2

a^2 + 225 = 400

a^2 = √175

a = 13.22

a = 13 ( If needed to round to nearest whole number)

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How does the graph change frorm point G to point K?
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The average number of minutes Americans commute to work is 27.7 minutes. The average commute time in minutes for 48 cities are a
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Answer:

a) \bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = 27.2

b) For this case we have n =48 observations and we can calculate the median with the average between the 24th and 25th values on the dataset ordered.

20.4 20.4 20.5 21.7 22.3 23.3 23.6 23.7 23.7 23.7  23.9 23.9 24.1 24.3 24.7 24.9 25.1 25.1 25.1 25.2  25.3 25.6 26.1 26.1 26.4 26.5 26.7 27.1 27.1 27.4  27.6 28.4 28.6 28.6 28.7 28.8 28.8 29.6 31.0 32.0  32.0 32.4 32.5 32.9 33.1 34.5 38.4 44.1

For this case the median would be:

Median = \frac{26.1+26.4}{2}=26.25 \approx 26.3

c) Mode= 23.2, 25.1

And both with a frequency of 3 so then we have a bimodal distribution for this case

Step-by-step explanation:

For this case we have the following dataset:

23.6, 26.5, 28.6, 28.6, 23.7, 25.3, 24.9, 28.7, 26.7, 32.4, 20.4, 23.9, 32.0, 32.5, 23.7, 26.1, 21.7, 26.1, 38.4, 24.1, 20.5, 25.2, 31, 26.4, 27.1 ,25.1, 25.1, 23.7, 23.9, 32.9, 28.8, 25.6, 28.8, 28.4, 32, 27.6, 29.6, 44.1, 27.1, 24.7, 22.3, 24.3, 23.3, 27.4, 20.4, 25.1, 34.5, 33.1

Part a

We can calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = 27.2

Part b

For this case we have n =48 observations and we can calculate the median with the average between the 24th and 25th values on the dataset ordered.

20.4 20.4 20.5 21.7 22.3 23.3 23.6 23.7 23.7 23.7  23.9 23.9 24.1 24.3 24.7 24.9 25.1 25.1 25.1 25.2  25.3 25.6 26.1 26.1 26.4 26.5 26.7 27.1 27.1 27.4  27.6 28.4 28.6 28.6 28.7 28.8 28.8 29.6 31.0 32.0  32.0 32.4 32.5 32.9 33.1 34.5 38.4 44.1

For this case the median would be:

Median = \frac{26.1+26.4}{2}=26.25 \approx 26.3

Part c

For this case the mode would be:

Mode= 23.2, 25.1

And both with a frequency of 3 so then we have a bimodal distribution for this case

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