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2 years ago

What is the upper quartile of the following set 28, 45, 12, 34, 36, 45, 19, 20

Mathematics

2 answers:

Nataly_w [17]2 years ago

8 0

Answer:

Q3 = 40.5

Step-by-step explanation:

The first step to solve your exercise is ordering all the elements of the data set.

So the ordered data set is:

12, 19, 20, 28, 34, 36, 45, 45

The upper quartile is the median of the upper half of a data set. Mathematically, the upper quartile is the term at the position P defined by the equation below

$P = \frac{3(n+1)}{4}$

This exercise data-set has a cardinality of 8, so n = 8.

$P = \frac{27}{4}$

However, P = 6.75. When the decimal part is .75, we subtract .25, so P = 6.50.

So, the upper qurtily is the average between the 6th and 7th terms in the ordered set.

Uq = Q3 = (45+36)/2 = 40.5

Mariulka [41]2 years ago

7 0

Answer:

40.5

Step-by-step explanation:

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Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro

bearhunter [10]

The question is incomplete. Here is the complete question:

Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.95 probability that he will hit it. One day, Samir decides to attempt to hit 10 such targets in a row.

Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?

Answer:

40.13%

Step-by-step explanation:

Let 'A' be the event of not missing a target in 10 attempts.

Therefore, the complement of event 'A' is $\overline A=\textrm{Missing a target at least once}$

Now, Samir is equally likely to hit each of the 10 targets. Therefore, probability of hitting each target each time is same and equal to 0.95.

Now, $P(A)=0.95^{10}=0.5987$

We know that the sum of probability of an event and its complement is 1.

So, $P(A)+P(\overline A)=1\\\\P(\overline A)=1-P(A)\\\\P(\overline A)=1-0.5987\\\\P(\overline A)=0.4013=40.13\%$

Therefore, the probability of missing a target at least once in 10 attempts is 40.13%.

6 0

1 year ago

Read 2 more answers

The album The Best of Radiohead, by Radiohead, has a list price of $13.83, and the album The King of Limbs, by Radiohead, has a

neonofarm [45]

Answer:

206 albums The King of Limbs and 34 albums The Best of Radiohead sold

Step-by-step explanation:

Let x be the no. of The album The Best of Radiohead sold .

We are given that total sales of both albums in one week is 240 albums.

So, number of albums The King of Limbs = 240 -x

Cost of 1 album The Best of Radiohead by Radiohead is $13.83

Cost of x album The Best of Radiohead by Radiohead = 13.83x

Cost of 1 album The King of Limbs, by Radiohead= $7.83

Cost of (240-x) album The King of Limbs, by Radiohead=7.83(240-x)

The total cost revenue of both albums in that week is 2083.20

So, 13.83x+7.83(240-x)=2083.20

13.83x+1879.2-7.83x=2083.20

13.83x-7.83x=2083.20-1879.2

6x=204

$x=\frac{204}{6}$

x=34

The no. of The album The Best of Radiohead sold is 34

Number of albums The King of Limbs = 240 -x =240-34=206

Hence 206 albums The King of Limbs and 34 albums The Best of Radiohead sold

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1 year ago

Christian is going to invest $310 and leave it in an account for 20 years. Assuming the interest is compounded daily, what inter

Artist 52 [7]

Answer:

r=5.86%

Step-by-step explanation:

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1 year ago

Find a function of the form y=Asin(kx)+C or y=Acos(kx)+C whose graph matches the function shown. ( in the picture)

m_a_m_a [10]

Answer:

Your answer is: y = -3cosπ /2 - 3

Step-by-step explanation:

We learned this last semester in pre calculus lol XD

4 0

2 years ago

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Which of the following equations has a maximum at (9,7)

Luba_88 [7]

Answer:

Step-by-step explanation:

Answer:

option C ⇒ C) y = -x² + 18x - 74

Step-by-step explanation:

The given options are:

A) y = -x² + 14x - 40

B) y = -x² - 18x - 88

C) y = -x² + 18x - 74

D) y = -x² - 14x - 58

=================================

The general equation of the parabola has the form:

y = f(x) = ax² + bx + c

The vertex of the parabola has the coordinates (h , k)

where h = $\frac{-b}{2a}$

and k = f(h) = f( $\frac{-b}{2a}$ )

Check option A: a = -1 , b = 14 ⇒ (h,k) = (7, f(7) ) = (7 , 9)

Check option B: a = -1 , b = -18 ⇒ (h,k) = (-9, f(-9) ) = (-9,-7)

Check option C: a = -1 , b = 18 ⇒ (h,k) = (9, f(9) ) = (9,7)

Check option D: a = -1 , b = -14 ⇒ (h,k) = (-7, f(7) ) = (-7,-9)

So the equation which has a maximum at (9,7) ⇒ y = -x² + 18x - 74

<u>So, the correct answer is option C</u>

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1 year ago

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