A set of cards contains the numbers 1 through 20. Mathieu chooses a card a random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?

Answers

Answer 1
Chance of multiple of 5 is 4 / 20 or 1 / 5.
This means that the answer is 200 / 5
Answer = 40
Answer 2

Answer: There are 40 times that Mathieu can expect to choose a multiple of 5.

Step-by-step explanation:

Since we have given that

Numbers between 1 to 20 = 20

Numbers which are divisible by 5 = 4

i.e. {5,10,15,20}

So, Probability that getting a number divisible by 5 is given by

[tex]\dfrac{4}{20}=\dfrac{1}{5}[/tex]

If the number of trials = 200

Then, Number of times Mathieu expect to choose a multiple of 5 is given by

[tex]\dfrac{1}{5}\times 200\\\\=40[/tex]

Hence, there are 40 times that Mathieu can expect to choose a multiple of 5.


Related Questions

find the sum of 23 and 87

Answers

Sum means to add two or more numbers. Add 23 and 87 together.

Sum= 23 + 87
Sum= 110

ANSWER: The sum is 110.

Hope this helps! :)

Answer: 110

Step-by-step explanation: I would start by adding 3 from 23 to 87 which is 90. Then I would add 20 to 90 after that, 110. Hopefully this will help.

A rectangle is 25 inches long and 13 inches wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. $$ in2

Answers

I believe your answer is 325/1.

Work: 

Area =  L x W
13 x 25 = 325


Answer:

325/100 = 13/4 or 31/4

Step-by-step explanation:

25 is a common factor of both 325 and 100, so divide numerator and denominator by 25 and you get 13/4, which can be written as 3 and 1/4 or 3.25 in decimal

This is because it said simplest form.

What is the gcf of 18 and 14

Answers

The GCF of 18 and 14 is 2
 Hope this helped you :)

Help please I will be answering your questions too ;)

Answers

the answer is D. 8/3, because 3/10 times 8/3 is equal to 0.8. 4/5 equals to 0.8 also. so thats the right answer
it is d wasting space to pass 20 letters

A nickel and a dime are flipped. What is the probability both coins will land tails up

Answers

33.33%
heads tails
2 heads
2 trails
Two possibilities but you have a four out of four chance because you have two items and times it by two because you have two possibilities of it either landing on heads or tails at the same time.

Now that you have converted a terminating decimal number into a fraction, try converting a repeating decimal number into a fraction. Repeating decimal numbers are more difficult to convert into fractions. The first step is to assign the given decimal number to be equal to a variable, . For the decimal number , that means . If , what does 10x equal?

Answers

The first step is to assign the decimal number to a variable.

For the repeating fraction 0.111_1, this would look like
.. x = 0.111_1 . . . . . . . . . . where we use an underscore to identify the following digit(s) as repeating

The next step is to multiply that value by 10 to a power equal to the number of repeating digits. If there is one repeating digit (as here), then you want (10^1)x = 10x.
.. 10x = 1.111_1

The third step is to subtract x from this.
.. 10x -x = 1.111_1 -0.111_1 = 1
.. 9x = 1

And the final step is to divide by the coefficient of x.
.. x = 1/9 . . . . . . this is the value of the repeating decimal fraction.

_____
Here's one that's a little more complicated. It is done the same way.
.. x = 3.254545_45
.. 100x = 325.454545_45
.. 100x -x = 99x = 322.2
.. x = 322.2/99 = 3222/990 = 179/55

Answer:

0.3 repeating

Step-by-step explanation:

from edmentum

If x < 5 and x > c, give a value of c such that there are no solutions to the compound inequality. Explain why there are no solutions

Answers

The value of c could be 5 or any number greater than 5. 

The solution is the intersection of both solution sets of the given inequalities. 

The solutions of the compound inequality must be solutions of both inequalities. 

A number cannot be both less than 5 and greater than 5 at the same time.

Final answer:

To ensure there are no solutions to the compound inequality x < 5 and x > c, we can choose c to be 5 or larger, such as c = 6, making the inequality impossible.

Explanation:

To determine a value of c such that the compound inequality x < 5 and x > c has no solutions, we need to choose a value of c that makes the inequality impossible to satisfy.

One way to ensure there are no solutions is to choose c so that it is greater than or equal to 5.

If c is 5 or any number larger than 5, then there is no real number x that can be both greater than c and at the same time less than 5.

For example, if we choose c = 6, then the set of values greater than 6 (x > 6) does not intersect with the set of values less than 5 (x < 5).

Therefore, c = 6 would ensure that there are no solutions to the compound inequality.

whats 2(4k+3)-13=2(18-k)-13 solve for k c:

Answers

8k+6-13 = 36 - 2k - 13

8k - 7 = -2k + 23

10k = 30

k = 3

convert 0.12 to decimal

Answers

ummm its already in decimal form
It is already a decimal! Do you need it to be a fraction or percentage?

At the school carnival, the sixth graders are making directional arrows, as shown below.


Each arrow is to be painted red. How much area needs to be painted for 1 arrow?

26 square inches
29 square inches
32 square inches
44 square inches

Answers

We can separate this into a rectangle and a triangle and then find the areas of these shapes separately. The triangle has a height of 9 - 5 = 4 inches, and a base of 6 inches. The rectangle will have a width of 4 inches and a length of 5 inches. Use the formulas to find the areas of these shapes and then combine them to find the area of the entire arrow:

Triangle:

[tex]\sf A=\dfrac{1}{2}bh[/tex]

[tex]\sf A=\dfrac{1}{2}(6)(4)[/tex]

[tex]\sf A=12~in^2[/tex]

Rectangle:

[tex]\sf A=lw[/tex]

[tex]\sf A=(5)(4)[/tex]

[tex]\sf A=20~in^2[/tex]

Now add the two areas together:

[tex]\sf 20+12=\boxed{\sf 32~in^2}[/tex]

So your answer is C.

1.01<0.99 true,4.5=4.50 true, 3.5<3.39 true?, lastly is 1.51>1.15 true?

Answers

no, yes, no, yes

What part of comparing number values do you not understand? Most folks figure out enough about place value to be able to answer this by 3rd grade. If there's something about this question that really stumps you, please advise in the comments.

​Solve the systems of equations: ​ ​ ​​
​5x−2y−4=0 ​
3x+16y−54=0 ​​
What is x?
What is y?

Answers

(x,y)=(2,3)
This is Answer

Jade is painting a rectangular wall. The wall is 414 yards long and 223 yards high. The formula for the area of a rectangle is A=bh. What is the area of the wall? Enter your answer as a mixed number in simplest form in the box. $$ yd2

Answers

414*223=92,322 yards² is your Answer

Answer:

Its actually 11  1/3

Step-by-step explanation:


Vicki has 210 baseball cards and buys an additional 15 cards every week. Jeb has 275 baseball cards and buys an additional 10 cards every week. After how many weeks will Vicki and Jeb have the same number of baseball cards?

Answers

It will be after 13 weeks.

Answer:

After 13 weeks, Vicki and Jeb will have the same number of baseball cards.

Step-by-step explanation:

Let n be the required number of weeks after which Vicki and Jeb have the same number of baseball cards.

The number of cards Vicki will buy after n weeks = 210 + 15n

The number of cards Jeb will buy after n weeks = 275 + 10n

Since, these are equal,

210 + 15n = 275 + 10n

15n - 10n = 275 - 210

5n = 65

Divide both sides by 5.

n = 13.

Hence, after 13 weeks, Vicki and Jeb will have the same number of baseball cards.

URGENT HELP PLEASE!!!! 20 points!

The spherical container has a radius of 21 cm. What is the approximate volume of the container? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer in the box. cm³

Answers

To solve this, we need the formula for the volume of a sphere. The formula is expressed as the 4/3 of the product of the cube of the radius and pi.Volume = 4/3 (π x r^3)
Substituting the given values, we have:
Volume = 4/3 (3.14 x 21^3)Volume = 38772.720 cm^3
Thus, the approximate volume of the container is 38772.720 cm^3.

Answer:For k12 people answer is 38,772.72

Step-by-step explanation:

I need help with this question.

Michael needs to wrap a gift that is shaped like a triangular pyramid. Each face has an area of 25 in². What is the surface area? (Hint: Figure out how many faces a triangular pyramid has)

If the answer is 75 ft², color is black if the answer is 100 in², color is red

Answers

A triangular pyramid is a pyramid having a triangular base. It has 4 faces, 6 edges and 4 vertices.

Since the area of one face is 25 [tex] in^{2} [/tex]

Therefore, surface area of triangular pyramid = 4 [tex] \times [/tex] area of one face

= [tex] 25 \times 4 [/tex]

= 100 [tex] in^{2} [/tex].

So, the surface area of triangular pyramid is 100[tex] in^{2} [/tex].

Therefore, color is red.

CAN ANYONE HELP ME WITH THIS PLSSSSSSSSSSSSSSS

Answers

13 is what i think
3 divided by 2= 1.5
1.5*9=13.5 and you can't score half a point so the answer is 13

_____ season is when the weather is not optimal and few tourists have vacation time.
A----Low
B----High
C----Shoulder
D----Average

Answers

Low Season

because that is November through March , coldest and wettest months so this is bad time because flight delays and that kinda thing , hope this helps 
The answer that you are looking for is A. “Low

Rachel has 60 scones. She sells them to Robbie , Cameron , Lou’s , Tom and Charlie in that order. Each customer buys more scones than the last and the increase is the same number in each case . Robbie and Cameron’s combined total number of scones is three sevenths of the total of Louis , Tom and Charlie . How many scones does each boy buy ?

Answers

suppose robbie buys x scones then according to the question.....cameron will have x+y
..lou's will have (x+y)+y=x+2y ...
Tom=x+3y....
Charlie=x+4y.....
now as we know that the combines scones of robbie and Cameron is 3/7 times of total of louis.....
x+(x+y)=3/7 (x+3y+x+2y+x+4y)....solve this ...and this will be your 1st equation...and second equation will be x+x+2y+x+3y+x+4y=60.......And solve both equation simultaneously and then you will have the answers of x and y the put the values of x and y in each of the equation that i have written above for each person

Find the unit rate. 6 2/5 revolutions in 2 2/3 seconds

Answers

The unit rate will be in revolutions per second. That means divide number of revolutions by number of seconds.

first convert from mixed fraction.
6 2/5 = 32/5 revolutions
2 2/3 = 8/3 seconds

32/5 ÷ 8/3
flip multiply
32/5 × 3/8 = 12/5 revolutions per second

12/5 = 2 2/5 revolutions per second


Show three ways to make $20 .Use tally marks to record the bills.

Answers

4- $5 bills
20- $1 bills
2- $10 bills
Hope this helped!

What is the difference in kilowatt hours of monthly energy production between an average local wind speed of 15 miles per hour and an average local wind speed of 10 miles per hour?

Answers

The difference in Kilowatt hours of monthly energy production and average local wind speed is that kilowatts produce energy and the wind speed produces the difference of miles per hour in the energy. So say if it was a power going out that would be the cause.

Using front end estimation find a reasonable estimate of: 719 · 26

Answers

Answer:

C

Step-by-step explanation:

-3x+2(4x-8)-16
Help me solve this

Answers

Answer: 3x - 32

-3x + 2(3x - 8) - 16                 Distributive Property
-3x + 6x - 16 - 16                    Combine like terms
3x - 16 - 16                             Simplify
3x - 32                                   Answer!
 the anwser is 3x+2(4x-8)-16  i hope this helps


what is 7.5% greater than 840.76

Answers

903.817, because .075*840.76=63.057 then you add that to the original 840.76 t get the final 903.817.
hi

( 7.5/100 × 840.76 ) + 840.76 =

63.057 + 840.76= 903.817

hope it helps

multiply the number of legs on a snake by the number of hours in day .What's the product

Answers

 snakes have no legs and a day has 24 hours so its 0 times
  24 so the answer is 0
0. A snake has no legs and any number multiplied by 0 equals 0. So 24 x 0 = 0

What is the approximate circumference of a circle that has a diameter of 20 Centimeters

Answers

The circumference is 20 pi.
The approximate circumference is 62.83 

The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below. Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last Week This Week Mean 3.5 in. 2.7 in. Mean Absolute Deviation 1.2 in. 0.5 in. Which expression compares the difference of the two means to this week’s mean absolute deviation?

(A) 0.8/0.7
(B) 2.7/0.7
(C) 0.8/0.5
(D) 2.7/0.5

Answers

Given:
                                        Last Week        This Week
Mean                                  3.5 in.                  2.7 in.
Mean Absolute Deviation   1.2 in.                  0.5 in

If this is what the table looks like, my answer is (C) 0.8/0.5

The difference of the two means to this week’s mean absolute deviation is?

The two means are 3.5 in and 2.7 in. The difference would be 3.5 - 2.7 = 0.8
This weeks' mean absolute deviation is 0.5 in according to the table.

So, 0.8 / 0.5 is the answer.

Answer:

The answer is C) 0.8/0.5

Step-by-step explanation:

If you need any help with this question please ask me! :)

WARNING ITS TIMED PLEASSEEE HURRY! Each product represents a fraction of a circle that is shaded.

Drag the pictures to the table that match the products in each column.

Answers

multiply numerators (top numbers)
multiply denominators (bottom numbers)

first one:
(1/3)*(1/3) = 1/9

second one:
(1/4)*(1/2) = 1/8

third one:
(3/4)*(1/3) = 3/12 simplified = 1/4

drag correct circle to box. first circle is not a solution. it is extra

Answer:

1/9, 1/8 and 1/4

Step-by-step explanation:

multiply the both given numerators (top numbers) and both given denominators (bottom numbers) given bellow

1/3 x 1/3 = 1/9  because 1 x 1 = 1 and 3 x 3 = 9

1/4 x 1/2 = 1/8 because 1 x 1 = 1 and 4 x 2 = 8

3/4 x 1/3 = 3/12 or 1/4 simplified because 3 x 1 = 3 and 4 x 3 = 12. when you simplify you divide the denominator by the numerator and 12 divided by 3 is 4 and you the 4 stays as the denominator and make the numerator of 1

I need this right to pass please helpp

Answers

the answer is b hope I could've helped
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