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3 years ago

Find the critical value zα/2 that corresponds to a 93% confidence level.

1 answer:

4 0

The critical value is used to compute the margin of error. (Margin of error = Critical value x Standard deviation of the statistic or Margin of error = Critical value x Standard error of the statistic).
If the statistic has normal sampling distribution, then the the critical value can be expressed as a t score or as a z score.
α = 1 - (confidence level / 100)
α = 1 - (93 / 100)=1-0.93=0.07
The critical probability is: pc= 1 - α/2 pc=1-0.035=0.965
The critical value is 1.81.

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Given that set A has 48 elements and set B has 21 elements, determine each of the following. (a) The maximum possible number of

yKpoI14uk [10]

Answer: The required answers are

(a) 69, (b) 21, (c) 21 and (d) 0.

Step-by-step explanation: We are given that the set A has 48 elements and the set B has 21 elements.

(a) To determine the maximum possible number of elements in A ∪ B.

If the sets A and B are disjoint, that is they do not have any common element. Then, A ∩ B = { } ⇒ n(A ∩ B) = 0.

From set theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)=48+21-0=69.$

So, the maximum possible number of elements in A ∪ B is 69.

(b) To determine the minimum possible number of elements in A ∪ B.

If the set B is a subset of set A, that is all the elements of set B are present in set A. Then, n(A ∩ B) = 21.

From set theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)=48+21-21=48.$

So, the minimum possible number of elements in A ∪ B is 21.

(c) To determine the maximum possible number of elements in A ∩ B.

If the set B is a subset of set A, that is all the elements of set B are present in set A. Then, n(A ∩ B) = 21.

So, the maximum possible number of elements in A ∩ B is 21.

(d) To determine the minimum possible number of elements in A ∩ B.

If the sets A and B are disjoint, that is there is no common element in the sets A and B . Then, n(A ∩ B) = 0.

So, the maximum possible number of elements in A ∩ B is 0.

Thus, the required answers are

(a) 69, (b) 21, (c) 21 and (d) 0.

6 0

3 years ago

How do you do number 2? Help please and thank you.

Dmitrij [34]

Answer:

{3,-1}

Step-by-step explanation:

m^2 -2m -3=0

What 2 numbers multiply to -3 and add to negative 2

-3* 1 = -3

-3 +1 =-2

(m-3) (m+1) =0

Using the zero product property

m-3 = 0 m+1 =0

m=3 m=-1

{3,-1}

6 0

3 years ago

Where to locate the nonnegative abscissa, positive ordinate

Fofino [41]

The location to the nonegative abscissa, positive ordinate is in the Q1 it means it is in the fisrt quadrant as seen in the next image: http://www.mathnstuff.com/math/spoken/here/1words/q/q2.htm
Hope this helps

4 0

3 years ago

Using the following image, find GH given HI = 1 and GI = = 9.

shepuryov [24]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the bases, height, perimeter, and the area from the trapezoid? please help me

Sergio039 [100]

Answer:

base : 30 cm

height : 20 cm

perimeter : 92 cm

Area : 400 cm

Step-by-step explanation:

base : 30 cm

height : 20 cm

perimeter : 27 + 30 + 25 + 10

: 92 cm

Area : (1/2 ( a + b) ) x h

: (1/2 ( 10 + 30) ) x 20

: (20) x 20

: 400 cm

3 0

3 years ago