Use the table of random numbers to simulate the situation.
On an average, 45% of the students in a college take a computer
course. Estimate the probability that at least 6 of the next 10
students will take a computer course.
48095
24765
05604
46497
11966
93354
86431
34731
56521
69722
26295
79423
42669
70962
17355
29826
53442
68241
88383
26431
73434
53041
29591
58166
23544
61132
12955
22834
41592
64119
53147
33205
82873
70967
70034
47821
11153
02989
37977
93425
O Possible answer: 60%
O Possible answer: 50%
O Possible answer: 55%
O Possible answer. 45%

Answers

Answer 1

Answer:

40%

Step-by-step explanation:

A set of random numbers can be used for simulating a situation by defining how the numbers will be used to represent the possible outcomes. Trials are repeated using newly-generated random numbers until there are a sufficient number of trials to give a reasonable prediction of the probability of interest.

__

We can simulate the situation as follows:

if a pair of digits is in the range 00-44, then the student will be taking a computer coursea sequence of 10 pairs of digits (4 of the 5-digit numbers) will represent a group of 10 studentsWe are interested in the fraction of groups of 10 that have 6 or more that take a computer course. (Theoretical probability is about 26%.)

Here are our trials and results.

48 09 52 47 65 05 60 44 64 97 -- 3 of 10

11 96 69 33 54 86 43 13 47 31 -- 5 of 10

56 52 16 97 22 26 29 57 94 23 -- 5 of 10

42 66 97 09 62 17 35 52 98 26 -- 5 of 10

53 44 26 82 41 88 38 32 64 31 -- 6 of 10

73 43 45 30 41 29 59 15 81 66 -- 5 of 10

23 54 46 11 32 12 95 52 28 34 -- 6 of 10

41 59 26 41 19 53 14 73 32 05 -- 7 of 10

82 87 37 09 67 70 03 44 78 21 -- 5 of 10

11 15 30 29 89 37 97 79 34 25 -- 7 of 10

__

Of these 10 trials, 4 showed the result that at least 6 of the next 10 students will choose a computer course. That is, the probability is estimated to be about 4/10 = 40%.

_____

Additional comment

Here, we can only predict the probability of interest as some multiple of 10%, since we have numbers sufficient for only 10 trials.

We could arrange the random numbers a different way and reuse them, but we choose not to for the purpose of this answer. For that to make sense, we need to have assurance that these numbers are truly random.

The number of repeated values among these 100 pairs of digits suggests that this is a poor set of numbers to be using. 26 and 41 each show up 4 times, for example. The probability of that happening by chance in a truly random set of numbers is about 0.03%. A chance event is considered to be unlikely if its probability is less than 1%.

Answer 2

Answer:50%

Step-by-step explanation:believe me it is 50%. 40% isn’t even a option. 50% is the correct answer.


Related Questions

What is the percent change 3.9 to 0

Answers

Answer:

a decrease of 100%

Step-by-step explanation:

im not fully sure butni hope it helps

First one to answer, i will mark brainlist

Answers

Answer:

Sides in descending order:  YZ > ZX > XY

Step-by-step explanation:

Sum of all angles of triangle = 180

    104 +52 +  ∠Z = 180

            156 + ∠Z = 180

                      ∠Z = 180 - 156

                      Z = 24

The sides opposite to the biggest is the longest side.

Angles in descending order: ∠X  >  ∠Y >  ∠Z

Sides in descending order:  YZ > ZX > XY

Find another angle

m<Z

180-(104+52)180-15624°

We know higher the angle measure higher the opposite side and vice-versa

Here

X>Y>Z

Hence

YZ>XZ>XY

whats the median 19 19 20 21 2324 25 26 27 29 33

Answers

Answer:

The median is also known as the middle of the data set when it has already been sorted.  So the first thing that we need to do is make sure that our data set is fully sorted.

[tex]19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33[/tex]

Now that we have our data set sorted, we can located the middle.  Since this data set has 11 numbers that means number 6 is going to be our median.  Counting from the left we get that our median is 24.

Hope this helps!  Let me know if you have any questions

Answer: The answer is 24.

Step-by-step explanation: To find the median, you put all your data in order from least to greatest, which would look like:

19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33

Then, cross out the numbers from front to back until you find your middle number.

19, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33

This leaves 24 left, which is the answer!

Which graph shows a negative slope and a positive y-intercept?

Answers

Answer:

The last one ( bottom left)

Step-by-step explanation:

negative slope means the line is going downwards

positive y intercept means the line hits the y axis on a positive number

A window is shaped like a parallelogram
The base of the window is 14.25 inches.
The area is 356.25 square inches. What
is the height of the window?

Answers

Answer:

Do the area divided by the base on a calculator for the answer

Answer:

Height of the window= 25 inches

Step-by-step explanation:

Area of a parallelogram : base * height (of the side taken as base)

so height = area/base =  356.25/14.25 = 25 inches

Help me solve this problem please

Answers

Answer :

C

Explanation :

The question given in C is statistical as compares the data in an item out of a set

For questions 2 z 3. simplify each polynomial
2. 3x²+6-2x+5x-4x²+9
3. 2x²+6x-7x+8-3x²+1​

Answers

Answer:

2. [tex]-x^{2} +3x+15[/tex]

3. [tex]-x^{2} -x+9[/tex]

Step-by-step explanation:

We add like terms together to simplify

2.  3x²-4x²= -x²     -2x+5x= 3x  6+9= 15  all equal to -x²+3x+15

3.  2x²-3x²= -x²      6x-7x= -x    8+1=9      all equal to -x²-x+9

Which number is a rational number?
square root of 15
2.438346835387
17.156
cube root of 85

Answers

17.156 is rational. Hope that helped.

Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?

Answers

The width of the rectangular box with  volume of 150 cubic inches is: 5 inches.

What is the Volume of a Box?

Volume of a box = (length)(width)(height).

Given the following:

Volume of the box = 150 in.³Height = 2 in.Width = w in.Length = w + 10 in.

150 = (w + 10)(w)(2)

2w² + 20w - 150 = 0

Factorize

(w - 5)(w + 15) = 0

w = 5, w = -15

The width cannot be negative, therefore, the width of the box is: 5 inches.

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Which of the following pairs of numbers has 16 as their greatest common factor?


32, 48

32, 48

32, 62

32, 62

48, 36

48, 36

42, 16

42, 16

Answers

Answer:

32, and 48. This is the greatest factor of 16

Lance paid 6% sales tax on a $30 game. What is the total amount did Lance pay?

Answers

Answer:

The answer is attached.

help me find the value of x I will give BRAINLIEST HELP QUICK

Answers

Answer:

560

Step-by-step explanation:

If this isn't correct Im sorry I rushed it should be right but if not it should be close.

If sin = 2/5, what is csc ? (Answer must be in fraction form)

Answers

Answer:

csc x = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

using the identity

csc x = [tex]\frac{1}{sinx}[/tex]

then

csc x = [tex]\frac{1}{\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]

y is directly proportional to the square root of x, y is 75 and x is 100. find a formula linking x and y

Answers

Answer:

y = 7.5[tex]\sqrt{x}[/tex]

Step-by-step explanation:

given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion

to find k use the condition y = 75 , x = 100 , then

75 = k[tex]\sqrt{100}[/tex] = 10k ( divide both sides by 10 )

7.5 = k

y = 7.5[tex]\sqrt{x}[/tex] ← equation of proportion

for 9-10 use the diagram

value of x?

if the circle is centered at point O, what is the measure of MON

Answers

[tex]\bold{ANSWER:}[/tex]
x = 25

[tex]\bold{SOLUTION:}[/tex]

what is the answer of 6x +3y?

Answers

Answer: 3*(2x+y)

Step-by-step explanation:

Which scatter plot shows no association between the variables?

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

There seems to be no strong correlation for scatter plot B.

Hope this helps:) Goodluck!

Each boy in a class has 11 pockets and each girl in a class has 13 pockets. How many boys and girls are in this class if all 21 students have a total of 251 pockets?

Answers

Answer:

10 girls and 11 boys

Step-by-step explanation:

That is the answer!!

Answer:

There are 10 girls and 11 boys.

Step-by-step explanation:

Set up two equations. One equation is from the info that there are 21 total students. The other equation is from the calculation for the number of pockets. See image.

The sum of three consecutive integers is 90. Find the integers. If the smallest integer is x, the equation will be. I NEED HELP PLS SOLVE THIS QUICKLY I BEG YOU.

Answers

Answer:

x = 29

Step-by-step explanation:

Take the smallest integer as x. The next one as (x+1) and the last one as (x+2)

x + (x+1) + (x+2) = 90

x + x + x + 3 = 90

3x = 87

x = 29

Hence, x = 29

Hope this helps out. Feel free to mark me as brainliest! :)

Para hacer los laterales de una caja de madera de 40 cm de ancho, 40cm de largo y 35cm de altura, ¿que superficie de madera necesito?

Answers

Answer:

8800 cm^2

Step-by-step explanation:

superficie = [(40x40)x2] + [(40x35)x2] + [(40x35)x2]

s = (3200) + (2800) + (2800)

s = 8800 cm^2

Solve for x in the equation 3^2(x+3)÷8(x-4)=64÷2x

Answers

Answer:

Hope this helps, it was a hard equation... mark me brainliest

Step-by-step explanation:

9x+27÷8x-24=64÷2x

9x÷8x+3=64÷2x

9x÷8x*2x=61

x^3=244/9

x=

approximately  3.00411

Need help please answer ASAP!

Answers

#34.

If one's price be d

The expression is 20-2d

#35

20% means 0.2 or 2/10

So old area=150(100)=15000

New area increase

15000(2/10)=3000

New area

15000+3000=18000

Option C

#36

Prime numbers inbetween

2,3,5Probability=3/6=1/2

#37

3(x-2)=2x+63x-6=2x+6x=12

#38

1hr additional=1.5(2)=3$

Equation is

y=5+3x

So

12.5=5+3x7.5=3xx=2.5hours

Option A

Answer:

here i have tried 2 question hope it help u

A student used the equation below to create a table.
y=-3x - 5
The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
O (-11, -2)
O (-2,-11)
O (-2, 1)
O (1.-2)
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

second option -2, -11

Step-by-step explanation:

when you put -2 where x is then

y is -11

Help asap. Show your work please :)

Use the function f(x) = 5x2 + 2x − 3 to answer the questions.

Part A: Completely factor f(x). (2 points)

Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)

Answers

A) factor f(x) are 3/5 and -1.

B) x-intercepts of the graph of f(x)  are (3/5, 0) and (-1, 0).

C)  The end behavior is explained by vertex of the graph which is (-0.2, -3.2)

D) The graph is symmetrical about x = -0.2. shown below

What is factorization?

Factorizing is a way of writing an expression as a product of its factors using brackets.

Given function is : 5x² + 2x − 3

A)5x² + 2x − 3

= 5x² + 5x-3x − 3

= 5x(x+1)-3(x+1)

=(5x-3)(x+1)

So, factors will be 3/5 and -1.

B) f(x)= 5x² + 2x − 3

The x-intercepts are when f(x) = 0.

So, x-intercepts are (3/5, 0) and (-1, 0).

C) The x-coordinate of the vertex is the midpoint of the zeros.

 midpoint= (3/5-1)/2

                =-0.2

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

f(-0.2)= 5(-0.2)² + 2(-0.2) − 3

=-3.2

So, the end behavior is explained by vertex of the graph which is (-0.2, -3.2)

D) By plotting the zeroes and the vertex of the f(x).

The axis of symmetry is the x value of the vertex.

Thus,   the graph is symmetrical about x = -0.2.

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help plsls I’ll brainlist i promise this one’s abit confusing tho.

Answers

Answer:

25

Step-by-step explanation:

Please refer to the picture;


What is the measure of the base of the rectangle if the area
of the triangle is 32 ft2 ?

Answers

Answer:

it would be a

Step-by-step explanation:

8x4=32

The base of the given triangle is calculated as: 16 ft

How to find the area of a triangle?

The formula that is used to calculate the area of a triangle is expressed as:

Area of triangle= ½ × base × height

We are given that:

Area = 32 ft²

Height = 4 ft

Thus:

32 = ½ × base × 4

32 = 2 * base

base = 32/2

base = 16 ft

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Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter.

Answers

To find the area of the circle:

 ⇒ need to know the formula: [tex]\pi r^{2}[/tex]

r: radius or half of diameter's length ⇒ 7 meters

Let's calculate:

 [tex]Area = \pi (7)^2=49\pi =153.9380m^3[/tex]

The problem asks us to round to the nearest hundreth:

[tex]Area = 153.94m^3[/tex]

Answer: [tex]153.94m^3[/tex]

Hope that helps!

 

A rectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 x)(9 x) = 88. what does the value of x in her solutions represent? one possible length and one possible width two possible amounts for the widths two possible amounts for the lengths two possible amounts by which the dimensions were changed

Answers

The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft

How to determine the value of x?

The equation is given as:

(6 + x) * (9 + x) = 88

Express 88 as a product of two factors

(6 + x) * (9 + x) = 8 * 11

Express 8 and 11 as a sum

(6 + x) * (9 + x) = (6 + 2) * (9 + 2)

By comparison, we have:

6 + x = 6 + 2

9 + x = 9 + 2

This means that

x = 2

So, we have:

The possible value of x is 2, and the possible dimensions are 8 ft by 11 ft

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Answer: D) two possible amounts by which the dimensions were changed

Step-by-step explanation:

Edg 2022

What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4

Answers

The simplified value of the exponential expression is 2.

How to get the simplified expression?

Here we need to simplify the expression:

[tex]16^{1/4}[/tex]

First, you need to remember that:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Then we can just write:

[tex]16^{1/4} = \sqrt[4]{16}[/tex]

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

[tex]2^4 = 16\\\\\sqrt[4]{16} = 2[/tex]

So we conclude that the simplified value is 2.

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Answer:

The simplified value of the exponential expression is 2.

How to get the simplified expression?

Here we need to simplify the expression:

First, you need to remember that:

Then we can just write:

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

So we conclude that the simplified value is 2.

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Martin takes a test that has five multiple choice questions. Each question has three possible
answers. If Martin guesses on each question, in how many different ways can he answer the
questions on the test?

Answers

Answer:

about 2/5 of the question probability lol

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