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Aneli [31]
3 years ago
13

PLEASE HELP Line A is represented by the equation, y = 1/4x + 5 . (a) Write in slope-intercept form, the equation of a line that

is steeper than line A. (b) Write in slope-intercept form the equation of a line that is a vertical shift down 4 units from line A.

Mathematics
1 answer:
motikmotik3 years ago
7 0

Answer:

a) y= 2x +3

b) y= ¼x +1

Step-by-step explanation:

Please see the attached picture for the full solution.

Further explanation:

b) y-intercept of A= 5

y-intercept of line= 5 -4= 1

Since the gradient of the line is equal to the gradient of line A, gradient of line= ¼.

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A book claims that more hockey players are born in January through March than in October through December. The following data sh
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Complete question :

Birth Month Frequency

January-March 67

April-June 56

July-September 30

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Answer:

Yes, There is significant evidence to conclude that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Step-by-step explanation:

Observed value, O

Mean value, E

The test statistic :

χ² = (O - E)² / E

E = Σx / n = (67+56+30+37)/4 = 47.5

χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295

Degree of freedom = (Number of categories - 1) = 4 - 1 = 3

Using the Pvalue from Chisquare calculator :

χ² (18.295 ; df = 3) = 0.00038

Since the obtained Pvalue is so small ;

P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

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