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Natali [406]
3 years ago
14

Whats the difference between a subset and a proper subset? {5,8} {2,5,8} Is {5,8} a subset of {2,5,8}.

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:

\{5,8\} is a subset of \{2,5,8\}

Step-by-step explanation:

Required

Difference between subset and proper subset

To answer this question, I will use the following illustration.

A = \{1,2,3\}

B = \{2,3\}

C = \{1,2,3\}

In the above sets, set B is a proper subset of set A because all elements of B can be found in A, but not element of A can be found in B.

Set C is a subset of A because A = C

Using the above illustration, we have:

\{5,8\} and \{2,5,8\}

\{5,8\} is a subset of \{2,5,8\}, because 5 and 8 are in \{2,5,8\} but 2 which ca be found in \{2,5,8\} is not in \{5,8\}

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Based on the model ​N(11541154​,8686​) describing steer​ weights, what are the cutoff values for ​a) the highest​ 10% of the​ we
yaroslaw [1]

Answer:

a) x = 1225.68

b) x = 1081.76

c)  1109.28 < x < 1198.72

Step-by-step explanation:

Given:

- Th random variable X for steer weight follows a normal distribution:

                                    X~ N( 1154 , 86 )

Find:

a) the highest​ 10% of the​ weights? ​

b) the lowest​ 20% of the​ weights? ​

c) the middle​ 40% of the​ weights? ​

Solution:

a)

We will compute the corresponding Z-value for highest cut off 10%:

                                   Z @ 0.10 = 1.28

                                    Z = (x-u) / sd

Where,

u: Mean of the distribution.

s.d: Standard deviation of the distribution.

                                   1.28 = (x - 1154) / 86

                                      x = 1.28*86 + 1154

                                      x = 1225.68

b)

We will compute the corresponding Z-value for lowest cut off 20%:

                                   -Z @ 0.20 = -0.84

                                    Z = (x-u) / sd

                                   -0.84 = (x - 1154) / 86

                                      x = -0.84*86 + 1154

                                      x = 1081.76

c)

We will compute the corresponding Z-value for middle cut off 40%:

                                    Z @ 0.3 = -0.52

                                    Z @ 0.7 = 0.52

                                    [email protected] < x < [email protected]

                       -.52*86 + 1154 < x < 0.52*86 + 1154

                                  1109.28 < x < 1198.72

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