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Pavlova-9 [17]
2 years ago
14

You wonder if weather (rain, cloudy or sunny) makes a difference on mood (happy or not). To determine this, you sample the moods

of 200 people on a sunny day, 200 people on a rainy day and 200 people on a cloudy day and record whether they were happy or not. You then want to do a chi square test on this data. What are the degrees of freedom?
Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
6 0

Answer:

2

Step-by-step explanation:

Drawing a table to show the different weather and mood options :

The degree of freedom :

________ WEATHER ________

__________Rain ____ sunny _____ cloudy

Happy

|

Not happy

Here, we have a contingency table formatted in rows and columns

The columns = 3

The rows = 2

Degree of freedom :

(rows - 1) * ( columns - 1)

(2 - 1) * (3 - 1)

1 * 2

= 2

The degree of freedom = 2

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Tan(x+pi/2)= negative cot x
DIA [1.3K]
I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x

Identity is confirmed

6 0
3 years ago
Find the slope of the line passing through the point (-3, 6) and the origin.<br> M=
Nuetrik [128]
You know b=0 because it is passing through the orgin (0,0) and b is the y intercept. You input (-3,6) as (x,y)

7 0
3 years ago
A children's slide has a length of 5.8m. The vertical ladder is 2.6m above the groubd. Find the angle the slide makes with the g
Elodia [21]

<u>Answer</u>


26.6°


<u>Explanation</u>

You are required to use the trigonometric ratio, sine, to find that angle.

SinФ = opposite/hypotenuse


sin Θ = 2.6/5.8

= 0.4483


The angle Θ = Anti-sine(0.4483)

= 26.633°


The angle the slide makes with the ground, correct to one decimal place is 26.6°

8 0
3 years ago
Read 2 more answers
the perez family has a rectangle fish tank. How much water will the tank hold if its length is 3 feet, its width is 2 feet, and
myrzilka [38]

V = 3 x 2 x 3 = 18

answer

B) 18 cubic feet

7 0
3 years ago
my hw write find an equation of the line passing through (-2,3) and (4,-5) I have to write the equation in slope-intercept form
Viefleur [7K]

Answer:

The line passing through the given points is:

y=-\frac{4}{3}x+\frac{1}{3}

in its slope-intercept form

Step-by-step explanation:

Start by finding the slope of the segment that joins the two given points using the slope formula:

slope=\frac{y_2-y_1}{x_2-x_1}

which for our case renders:

slope=\frac{3-(-5)}{-2-4}=\frac{8}{-6} =-\frac{4}{3}

Now we can find the y-intercept by using any one of the given points in the general slope-intercept form of a line with this slope:

y=-\frac{4}{3} x+b\\3=-\frac{4}{3} (-2)+b\\3=\frac{8}{3}+b\\b=3-\frac{8}{3} \\b=\frac{9-8}{3} \\b=\frac{1}{3}

Therefore, the equation of the line becomes:

y=-\frac{4}{3}x+\frac{1}{3}

3 0
2 years ago
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