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melamori03 [73]
3 years ago
5

find the value of x2 values that separate the middle 90% from the rest of the distribution for 8 degrees of freedom

Mathematics
1 answer:
Anettt [7]3 years ago
4 0

Answer:

With alpha 0.95 and 8 degrees of freedom χ²= 2.73

And with alpha 0.05 and 8 degrees of freedom χ²=15.51

Step-by-step explanation:

The significance level ∝ = 1- 0.9 = 0.1

But we need the area of the middle so we divide this significance level with 2

so that we get exactly the middle area .

Dividing 0.1/2= 0.05

So we will have two values for chi square

One with  0.9 + 0.05 = 0.95 alpha and one with 0.05 alpha . This is because the chi square is right tailed.

So with alpha 0.95 and 8 degrees of freedom χ²= 2.73

And with alpha 0.05 and 8 degrees of freedom χ²=15.51

This can be shown with a graph.

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3 years ago
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Pls answer this. its easy but for me nah
zlopas [31]

Answer:

1. acute

2. Right

3. maybe acute

4. obtuse

5. acute

6. obtuse

7. straight

8. obtuse

9. acute

10. obtuse

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12. acute

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8 0
3 years ago
Martha estimated there were 96 marbles in a jar for a contest. The actual number of marbles in the jar was 118. What was the per
matrenka [14]
To find percent error, you subtract the actual number from your estimate, take the absolute value, and divide by the actual number.

l 96 - 118 l
l -22 l
l 22 l
l 22 l / 118
0.19%  (this was rounded)

Hope this helps!
3 0
3 years ago
Is the function in the table linear or nonlinear and why? x y 0,−100 and 1,-50 and 2,0 and 3,100 and 4,150. (A)The function is n
Studentka2010 [4]

Answer:

The correct option is c.

Step-by-step explanation:

Linear function: The rate of change of a linear function is always constant.

Non-Linear function: The rate of change of a non-linear function is not constant.

From the given coordinate pairs it is noticed that the function is passing through the points (0,-100), (1,-50), (2,0), (3,100) and (4,150).

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

The slope of function for points (0,-100) and (1,-50) is

m_1=\frac{-50-(-100)}{1-0}=50

The slope of function for points (2,0) and (3,100) is

m_2=\frac{100-0}{3-2}=100

Since the slopes of function are different, therefore the given function is non-linear.

The function is not linear because the rate of change is not constant and option c is correct.

7 0
3 years ago
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Write the equation of the conic section with the given properties:
timurjin [86]

Answer:

\frac{x^2}{64} + \frac{y^2}{25} =1

Step-by-step explanation:

An ellipse with vertices (-8, 0) and (8, 0)

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Distance between (-8,0) and (8,0) = 16

2a= 16

so a= 8

Vertex is (h+a,k)

we know a=8, so vertex is (h+8,k)

Now compare (h+8,k) with vertex (8,0) and find out h and k

h+8 =8, h=0

k =0  

a minor axis of length 10.

Length of minor axis = 2b

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General formula for the equation of horizontal ellipse is

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b} =1

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5 0
3 years ago
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