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svetoff [14.1K]
3 years ago
7

What is the interquartile range of the following data set 2, 5, 9, 11, 18,30, 42, 55, 58, 73, 81

Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0

Answer:

4.2/5. 4.

Step-by-step explanation:

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Determine the following:
dolphi86 [110]

Answer:

a) P(X = 0) = 0.5997

b) P(X = 9) = 0.0016

c) P(X = 8) = 0.0047

d) P(X = 5) = 0.4018

Step-by-step explanation:

These following problem are examples of the binomial probability distribution.

Binomial probability

Th binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

(a) for n = 4 and π = 0.12, what is P(X = 0)?

P(X = 0) = C_{4,0}.(0.12)^{0}.(0.88)^{4} = 0.5997

(b) for n = 10 and π = 0.40, what is P(X = 9)?

P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016

(c) for n = 10 and π = 0.50, what is P(X = 8)?

P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0047

(d) for n = 6 and π = 0.83, what is P(X = 5)?

P(X = 5) = C_{6,5}.(0.83)^{5}.(0.17)^{1} = 0.4018

3 0
3 years ago
What is the multiplication inverse or reciprocal of each number?
Degger [83]

Answer:

4

9/8

Step-by-step explanation:

Given the fraction a/b, the reciprocal is expressed as 1/(a/b) = b/a

For 1/4;

1/4

= 1÷1/4

= 1 * 4/1

= 4

Hence the reciprocal is 4

b) 8/9

= 1 ÷ 8/9

= 1 * 9/8

= 9/8

Hence the reciprocal of 8/9 is 9/8

8 0
2 years ago
What notation is used to represent the distance from point A to B
borishaifa [10]

Answer:

Absolute Value

Step-by-step explanation:

Absolute Value is very useful in finding the distance between two points on the number line. The distance between any two points a and b in the number line is

|a-b| or |b-a|.

7 0
2 years ago
Quadrilateral ABCD is rotated 145° about point T. The result is quadrilateral A'B'C'D'. Which congruency statement is correct?
lilavasa [31]
<span>The congruency statement should be that which shows the congruency of the corresponding angle and the sides. In the rotation of the polygon, the angle A is congruent with angle A' still. The same is true for all the angles and sides. The congruency statement is therefore, ABCD is congruent to A'B'C'D' The answer to this item is letter A. </span>
3 0
3 years ago
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If you drive at 100km/hr for 6 hours, how far will you go
tatiyna
600km. Because 100 kilometers an hour times 6 equals a distance of 600km.
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