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leonid [27]
2 years ago
11

A customer's total cell phone bill this month is $50.50. The company charges a monthly fee of $18 plus five cents ($0.05) for ea

ch call. Use n to represent the number of calls.
Mathematics
2 answers:
Ber [7]2 years ago
8 0
18+0.05n=50.50

50.50-18=32.50
32.50/0.05=650

n=650
Lelu [443]2 years ago
6 0
This will be your equation:

18+.5n.

18 flat fee, .5 (50) cent for every call.
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Answer:

11) c. the independent variables are not col-linear

12) b. Bar graph

13) a. Units of distance from the mean

14) d. None of the above

15) b. The difference between the predicted Y and observed Y

16) c. There is no spatial auto-correlation

17) a. It has a low Adjusted R²

18) c. A point that can influence the regression in a way that reflects the value of most other points

19) c. Rejecting the Null hypothesis incorrectly

20) c. The variable is not normally distributed

Step-by-step explanation:

11) With simple linear regression there is a col linear relationship between the dependent variable and the independent variables

Therefore, the correct option is c. the independent variables are not col linear

12) The bar graph which is also known as a bar chart, is used for the frequencies of data that are categorized

Therefore, the correct option is b. Bar graph

13) The z-value is a measure of the distance from the mean, therefore, the correct option is a. Units of distance from the mean

14) The higher the R² value the increased correlation between the factors of the dependent variable and the independent variable

Therefore, the correct option is d. None of the above

15) In an OLS residual error = Observed value of Y - Predicted value of Y

Therefore, the best option is b. The difference between the predicted Y and observed Y

16) A Moran's I value of zero indicates perfect randomness or no auto-correlation

The correct option is therefore, c. There is no spatial auto-correlation

17) The adjusted R² value increases when the added variable improves the model to the observation correlation more than would be expected by chance alone, therefore, the correct option is a. It has a low Adjusted R²

18) A leverage point is a point that is far from the other points in the observation, therefore, the correct option is c. A point that can influence the regression in a way that reflects the value of most other points

19) A type 1 error occurs when an accurate (statistically acceptable) null hypothesis is rejected therefore, the correct option is c. Rejecting the Null hypothesis incorrectly

20) The Quantile-Quanttile (QQ) plot is a technique used for checking the commonness of the sources of two sets of data, therefore sources of data that are from the source (hence normally distributed) align with the diagonal lines in a QQ-Plot

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8 0
2 years ago
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Blababa [14]

Answer:

\cos(\alpha +\beta)=\frac{2}{3}(1-\frac{\sqrt{5}}{5})

Step-by-step explanation:

Let the hypotenuse of the smaller triangle be h units.

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h^2=4^2+2^2

h^2=16+4

h^2=20

h=\sqrt{20}

h=2\sqrt{5}

From the smaller triangle;

\cos (\alpha)=\frac{4}{2\sqrt{5} }=\frac{2}{\sqrt{5} } and \sin(\alpha)=\frac{2}{2\sqrt{5} }=\frac{1}{\sqrt{5} }

From the second triangle, let the other other shorter leg of the second triangle be s units.

Then;

s^2+4^2=6^2

s^2+16=36

s^2=36-16

s^2=20

s=\sqrt{20}

s=2\sqrt{5}

\cos(\beta)=\frac{2\sqrt{5} }{6}=\frac{\sqrt{5} }{3}

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\sin(\beta)=\frac{4}{6}=\frac{2}{3}

We now use the double angle property;

\cos(\alpha +\beta)=\cos(\alpha)\cos(\beta) -\sin(\alpha)\sin(\beta)

we plug in the values to obtain;

\cos(\alpha +\beta)=\frac{2}{\sqrt{5} }\times \frac{\sqrt{5} }{3}-\frac{1}{\sqrt{5} }\times \frac{2}{3}

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Answer:

so the closet value will be 21.

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In this question we have to calculate the value of 85% of 25.

To calculate the percentage first we have to write percentage to the fraction and then multiply with 25.

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