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melamori03 [73]
3 years ago
12

What is the range of the following set of data: 12, -2, 9, 3, 2.4, 7.1, 11?

Mathematics
2 answers:
gladu [14]3 years ago
8 0
The answer to this question is 46.6
Vedmedyk [2.9K]3 years ago
6 0
Step #1 = Order from least to greatest

-2 , 2.4 , 3 , 7.1 , 9 , 11 ,  12


Step #2 = Subtracts the highest number from the lowest number

12 - (-2) = 14


Your answer is: 14 

Have an amazing day and stay hopeful!

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g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability th
xxTIMURxx [149]

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability distribution

The 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}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

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

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

Sampling with replacement:

I consider a success choosing a black ball, so p = \frac{50}{150+50} = \frac{50}{200} = 0.25

We want 2 black balls and 2 white, 2 + 2 = 4, so n = 4, and we want P(X = 2).

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

P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so N = 200

Sample of 4, so n = 4

50 are black, so k = 50

We want P(X = 2).

P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

3 0
2 years ago
What is the sum of x^2 - 3x + 7 and 3x^2 + 5x - 9
Dmitrij [34]

Hey there!

The answer to your question is 4x^2+2x-2

Given:

x^2-3x+7 and 3x^2 +5x-9

First, we can start by adding like terms. The following are like terms:

x^2 and 3x^2

-3x and 5x

7 and -9

Now, we can add these pairs together, giving us:

4x^2

2x

-2

Now, add all this together, and we get our answer as:

4x^2 + 2x - 2

Have a terrificly amazing day!

7 0
3 years ago
Find the mid segment of GH
noname [10]

Answer:

B. 2

Step-by-step explanation:

Based on the Midsegment of a trapezoid theorem:

GH = (BC + FE)/2

9x - 3 = (19 + (5x + 1))/2) (substitution)

9x - 3 = (20 + 5x)/2

Cross multiply

2(9x - 3) = 20 + 5x

18x - 6 = 20 + 5x

Collect like terms

18x - 5x = 20 + 6

13x = 26

Divide both sides by 13

x = 26/13

x = 2

8 0
3 years ago
What is the volume of the rectangular prism, in cubic cm?<br> 9 cm<br> 4 cm<br> 12 cm
Over [174]

Answer:

V =432 cm^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 9*4*12

V =432 cm^3

5 0
2 years ago
X=7 and y=-2x+5 <br>help!
rusak2 [61]

If x = 7 you substitute all the x in the equation by 7:

y = -2(7) + 5
y = -14 + 5
y = -9


Hope it helped,

Happy homework/ study/ exam!

4 0
3 years ago
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