In a school contest, each student draws a number from 1 to 5 out of a large basket. The outcomes are shown in the table below.
Number Drawn 1 2 3 4 5
Times Drawn 83 79 88 72 85

Based on the data, what is the expected probability of drawing a 3?

Answers

Answer 1

Answer:

88/407

Step-by-step explanation:

Answer 2

The required, based on the data given, the expected probability of drawing a 3 is approximately 0.216 or 21.6%.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

To find the expected probability of drawing a 3, we need to calculate the total number of times any number was drawn and the number of times a 3 was drawn:

Total number of times any number was drawn = 83 + 79 + 88 + 72 + 85 = 407

The number of times a 3 was drawn = 88

The probability of drawing a 3 is then the number of times a 3 was drawn divided by the total number of times any number was drawn:

Probability of drawing a 3 = 88/407 ≈ 0.216

Therefore, based on the data given, the expected probability of drawing a 3 is approximately 0.216 or 21.6%.

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Related Questions

mr. john says that a new automobile decreases 37 1/2 of its value the first year. At this rate, how much will the first value of a $4568 car drop in the first year?

Answers

Answer:

it will drop to 2855 I believe

What is the slope of y= -4x-3​

Answers

m=-4 hope this helps!!

Anybody who is good with word problems and (who has done these before) plz help thx!!! :DD

WILL MARK BRAINLIEST WHOEVER ANSWERS BOTH CORRECLTY :3!!!!

Answers

1. [tex] \frac{x}{15} = 3[/tex]

2. 8x = 216

Answer:

1. 45

2. 27

(please correct me if im wrong :D)

Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side HI.

Round your answer to the nearest tenth.

F

20

57-5

G

I

с

E

H

40

D

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. But I would solve a similar question.

Solution:

A quadrilateral is a polygon shape with four sides and four angles.

Two polygons are said to be similar if they have the same shape and the ratio of their corresponding sides are equal to each other (that is their corresponding sides are in the same proportion).

Given that Quadrilateral ABCD is similar to quadrilateral GHIJ, hence their corresponding sides are similar.

[tex]\frac{AB}{GH} = \frac{AD}{GJ} \\\\\frac{x}{24} = \frac{4}{12} \\\\x=\frac{4*24}{12}\\\\x=8[/tex]

Answer: 21.9

Step-by-step explanation: Ayye if you on delta math just trust me I got it wrong and here’s the the answers trust me

On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to mow 9 lawns?

12 hours
12 3/4 hours
6 hours
13 1/2 hours

Answers

Answer:

13 1/2 is your answer.

Step-by-step explanation:

With the same ratio the time taken Mitch to mow 9 lawns will be 13 + 1/2 thus option (D) is correct.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Saul can cut 4 lawns in 6 hours.

The ratio of hours to lawns will be as,

6/4

Suppose the time taken to mow 9 lawns to Mitch is x hours.

The ratio of hours to lawns will be as

x/9

Since the rate is the same thus ratio must be the same.

x/9 =  6/4

x = 6/4 x 9

x = 13.5 = 13 + 1/2

Hence"With the same ratio, the time taken Mitch to mow 9 lawns will be 13 + 1/2".

For more information about ratios and proportions,

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Help!!!! Question below.
Please.

Answers

Answer:

((4 x 16) ÷ 2) - 8

Step-by-step explanation:

There are many ways to solve this equation, but an easy one would be ((4 x 16) ÷ 2) - 8

4 times 16 = 64

64 ÷ 2 = 32

32 - 8 = 24

Hope this helps :)

Evaluate the expression when a=10, b=9, and c=4: 2a +3​

Answers

Answer:

23

Step-by-step explanation:

2(10) + 3

20 +3

23

HOPE IT HELPS YOU!

Factor out the monomial expression
f(x)=36x^4-49x^2

Answers

Answer:

f (x) = x(2exponent) (6x+7) (6x-7

Step-by-step explanation:

A shop has an offer on jumpers as shown below.

Buy 4 jumpers and get 1 free!
Kara gets 6 jumpers.
After applying the offer, each one ends up costing £8.50 per jumper.
What is the regular cost of one jumper when not in this offer?


Answers

Answer:  

Step-by-step explanation:

1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.

Divide your time available by the time it takes to make one.                  

                                               21  

                                               4             = 420= 15 bracelets

                                               7                 28

                                              20

Answer:

10.20 regular cost

Step-by-step explanation:

8.50 x 6 = 51 total

51/5 = 10.20

A car travels 55 miles per hour

1. The unit rate speed for this car is ___ miles per hour


2. if the car has driven 1/2 (0.5) hours, it traveled ___ miles

3. if the car has driven 1 1/2 (1.5) hours, it has traveled ___ miles

4 If the car has traveled 110 miles, it will take ___ hours

!! No explanation needed please! :) correct answer gets brainlesst !!

Answers

Answer:

1: 55

2: 27.5

3: 82.5

4: 6,050

Step-by-step explanation:

A ladder is 12 metres long . It leans against a wall with one end on the ground 7 metres from the wall. The other end just reaches a windowsill. Calculate the height of the windowsill above the ground.

i need an explanation please...

Answers

Answer:

window sill height =9.75 meters

Step-by-step explanation:

Ladder^2=height^2+length^2

12^2=height^2+7^2

144=height^2+49

height^2=144-49=95

height=9.75

You are making lemonade. The recipe calls for 1 cup of lemon juice for 3 cups of water. Fill in the blanks to correctly complete the lemon juice to cups of water ratio to make the lemonade.​

Answers

Answer:

3 cups of lemon= 9 cups of water

5 cups of lemon= 15 cups of water

8 cups of lemon = 24 cups of water

Step-by-step explanation:

all you have to do is multiply the cups of water by the cups of lemon.

For x=4 simplify 2x+(6-3)2
I need help

Answers

Answer:

Step-by-step explanation:

What is the distance between (-4,1) and (1, -3)?

Answers

Answer:

[tex]\sqrt{41}[/tex]

Step-by-step explanation:

Given: f(1) = 3x– 7, 9(x) = 2x^2 – 3x +1, h(x) = 4x + 1, k(x) = –x^2+3
Find: (h o g) (x)

Answers

Answer:

(h o g) (x) = h(g(x))

Step-by-step explanation:

(h o g) (x) = h(g(x)) = 4(g(x))+1 = 4(2x^2 -3x + 1 ) + 1

= 4*2x^2 - 4*3x + 4*1 + 1

= 8x^2 - 12x + 4 + 1

= 8x^2 - 12x + 5

In order to solve the equation below, what would be a valid first step?

4(x+8) =34−2x
A. Simply x + 8 to 8x.
B. Distribute the 4.
C. Subtract x from both sides.
D. Subtract 8 from both sides.

Answers

B. Distribute the 4
4x+32=34-2x
4x+2x=34-32
6x=2
X=2/6
X=1/3

3. State if each of the labeled points is a local min, max or
neither.
Is the function even or odd? Explain.

Please explain right I’m giving 100 points in this that means the 2 people Who answers this will get 50 each

Answers

Answer:

(5, 7) is a local maximumFunction is odd

Step-by-step explanation:

As we see on the graph:

point (1,2) on the falling section,point (3,3) on the rising section,point (5,7) on the top section,

... of the local intervals. therefore only point (5, 7) is a local maximum.

Absolute minimum is  - oo, absolute maximum is  + oo

A function is even if its graph is symmetric with respect to the y-axis. A function is odd if its graph is symmetric with respect to the origin.

The given function is odd as per above definition

Find the value of the expression below when x=10x2 - 2(x +5)

Answers

Answer:

x=10.2-2(×+5)........ given

×=20-2×-10............... avoid the bracket

x=10-2×..............collect the like terms

x+2x=10-2×+2×...... add 2x from both side

3x=10................simplify

3x/3=10/3..........divide both side by 3

x= 3.333.............x is solved

Step-by-step explanation:

i hope it is help full

if x:y=3:5 find the ratio 3×+4y:8x +5y​

Answers

Answer:

29: 49

Step-by-step explanation:

Since x:y= 3:5,

[tex] \frac{x}{y} = \frac{3}{5}[/tex]

Cross multiply:

[tex]5x = 3y[/tex]

Divide by 5 on both sides:

[tex]x = \frac{3}{5} y[/tex]

[tex] \frac{3x + 4y}{8x + 5y} \\ = \frac{3( \frac{3}{5}y) + 4y }{8( \frac{3}{5}y) + 5y } \\ = \frac{ \frac{9}{5}y + 4y }{ \frac{24}{5}y + 5y } \\ = \frac{9y + 5(4y)}{24y + 5(5y)} \\ = \frac{9y + 20y}{24y + 25y} \\ = \frac{29y}{49y} \\ = \frac{29}{49} [/tex]

Thus, 3x+4y: 8x+5y= 29: 49.

I had to try a couple of times to get the answer. The answer is of ratio 29:49

-2y - 7y + 8y + y - 7y

Answers

Answer:

-7y

Step-by-step explanation:

-2y-7y=

-9y+8y=

-y+y=

0-7y=

-7y

Combine like terms
-2y -7y + 8y +y - 7y
Solution : -7y

please help with this I will give the crown



4−a−a−a? solve this, please

Answers

Answer:

4-3a

Step-by-step explanation:

combine like terms

hope this helps :)

What is the sum of 3/15 + 2/5 as a fraction

Answers

3/15 + 2/5 = 3/5

hope this helps :)


Answer: 3/5

Step-by-step explanation:

(3/15)+(2/5)= (3+6)/15= 9/15= 3/5

Cheyenne bought 60 tickets for rides at an amusement park. Each ride costs 4 tickets, and Cheyenne has been on x rides so far. Write an expression is equivalent to the number of tickets that Cheyenne has left?​

Answers

Answer:

x=number of rides taken

y=number of tickets left

60=4(x)+y

Easy question, A group of 8 friends go to the movies. A bag of popcorn costs $2.99. How much will it cost to get one bag of popcorn for each friend?

Answers

Answer:

$23.92

Step-by-step explanation:

Answer:

$23.92

Step-by-step explanation:

8×2.99=23.92

please help me on this will give you brainliest!!

Answers

Answer:

9+(c*2)

im pretty sure this is correct, sorry for misreading it at first <3

Select all possible solutions for 2x + 7 < 3x - 5.

Answers

Answer:

7<x-5

12<x

x>12

Step-by-step explanation:

HELP PLEASE THIS IS HARD-!

Answers

Answer:

12

Step-by-step explanation:

[tex]\frac{2(2)}{2} +2(2)+\frac{2(6)}{2} =2+4+6\\ =12[/tex]

A rental car company charges $31 per day to rent a car and $0.13 for every mile

driven. Jocelyn wants to rent a car, knowing that:

She plans to drive 500 miles.

• She has at most $220 to spend.

.

Write and solve an inequality which can be used to determine d, the number of days

Jocelyn can afford to rent while staying within her budget.

Answers

Answer:

The number of days is at most 5 days

= d ≤ 5 days

Step-by-step explanation:

A rental car company charges $31 per day to rent a car and $0.13 for every mile driven. Jocelyn wants to rent a car, knowing that:

She plans to drive 500 miles.

• She has at most $220 to spend.

At most means Less than or equal to $220

The inequality for expressing this = ≤

Hence, the inequality which can be used to determine d, the number of days Jocelyn can afford to rent while staying within her budget.

$31 × d + $0.13 × 500 miles ≤ $200

The inequality is given as:

31d + 65 ≤ 220

Solving further

31d ≤ 220 -65

31d ≤ 155

d ≤ 155/31

d ≤ 5

Therefore, the number of days is at most 5 days

which line is parallel to one whose equation is y=5x+7

Answers

anything with y=5x

it can be any number as long as it has that slope :)

ex. y=5x-24
Answer: Whichever's line starts with y=5x

Explanation: Parallel is like being close to something, it's two lines that are going the exact same way but with different y-intercepts, the part of the equation that controls if the line is straight, slanted, etc. is the slope so to be parallel you need the same slope, so the answer is any equation that starts with y=5x.

Find the value of x.

I need to show my work.

Thank you~~~~~~~~

Answers

Answer:

180-72-72=36

90-36=54

180-54-54=72

72=7x-12

84=7x

x=12

Step-by-step explanation:

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How did ancient people with little understanding of modern engineering and no modern construction machines build them?PLANNINGThe modern way in which the ancient Egyptians organized the construction of pyramids was impressive. High-ranking officials were chosen to plan and manage pyramid-building projects. They were responsible for building the main structure as well as the temples, boat-pits, and other buildings surrounding them.Undertaking such a massive colossal task required a huge workforce. In this case, as many as 20,000 skilled laborers worked to build the pyramids. Tens of thousands of workers required enormous resources, such as a place to live during the construction. Important officials were often in large homes, but the workers usually slept in simple conditions around the construction site. 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