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Gennadij [26K]
4 years ago
12

If other factors are held constant, which set of sample characteristics is most likely to reject a null hypothesis stating that

m
Mathematics
1 answer:
EleoNora [17]4 years ago
4 0

Answer:

M = 90 for a sample of n = 100

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance or M = 90 with s sample of n = 100. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

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Please help me!!!! So confused
yarga [219]

<em>Question:</em>

The area of the kite is 48 cm². What are the lengths of the diagonals PR and QS?

________


<em>Solution:</em>

You can split the kite into two isosceles triangles:   PSR and PQR.

Assume that both diagonals intersect each other at the point O.


•   Area of the triangle PSR:

           m(PR) · m(OS)
A₁  =  ————————
                     2

           (x + x) · x
A₁  =  ——————
                  2


           2x · x
A₁  =  ————
              2


A₁ = x²        (i)


•   Area of the triangle PQR:

            m(PR) · m(PQ)
A₂  =  ————————
                     2

           (x + x) · 2x
A₂  =  ——————
                  2

           2x · 2x
A₂  =  ————
               2

           4x²
A₂  =  ———
             2


A₂ = 2x²        (ii)


So the total area of the kite is

A = A₁ + A₂ = 48


Then,

x² + 2x² = 48

3x² = 48

            48
x²  =  ———
            3

x² = 16

x = √16

x = 4 cm


•   Length of the diagonal PR:

m(PR) = x + x

m(PR) = 2x

m(PR) = 2 · 4

m(PR) = 8 cm


<span>•   </span>Length of the diagonal SQ:

m(SQ) = x + 2x

m(SQ) = 3x

m(SQ) = 3 · 4

m(SQ) = 12 cm


I hope this helps. =)


Tags:  <em>polygon area triangle plane geometry</em>

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Answer:

A

Step-by-step explanation:

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Answer:

Step-by-step explanation:

diagram attached represents a function g(x).

Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).

a). For input value x = 7, out put value of the function is y = 9.

   Therefore, g(7) = 9 will be the answer.

b). Range of the function g(x) is the set of output values.

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c). Inverse of the function g(x) will have,

   Domain: {12, 9, 9, 17}

   Range: {4, 7, 10, 15}

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   Since, "a function can't have two output values for the same input value".

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