Say that you put the set of tiles shown below into a bag and conduct a series of trials in which you draw one tile randomly from the bag, record the color, and replace it. The table below shows the number of times in each set of trials that you drew a blue tile. Round tiles: 5 purple, 6 orange, 2 yellow, 4 red, 1 white, 10 blue, 5 black, 3 green. Trial 1 2 3 4 5 # of Draws 54 36 80 22 75 # of Blues 18 11 20 4 32 Between the theoretical probability that you will draw a blue tile and the experimental probability that you will draw a blue tile, which is greater, and how much greater is it? Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 12% is 2 percentage points greater than 10%). a. The theoretical probability is 2.78 percentage points greater than the experimental probability. b. The theoretical probability is 1.49 percentage points greater than the experimental probability. c. The experimental probability is 4.06 percentage points greater than the theoretical probability. d. The experimental probability is 2.17 percentage points greater than the theoretical probability.

Answers

Answer 1

Answer:

The correct answer is (c) The experimental probability is 4.06 percentage points greater than the theoretical probability.

To compare the theoretical probability and the experimental probability of drawing a blue tile, we need to first calculate each one.

Theoretical probability of drawing a blue tile:

Total number of tiles = 5 + 6 + 2 + 4 + 1 + 10 + 5 + 3 = 36

Number of blue tiles = 10

Theoretical probability of drawing a blue tile = number of blue tiles / total number of tiles = 10 / 36 = 27.78%

Experimental probability of drawing a blue tile:

Number of draws in the five trials = 54 + 36 + 80 + 22 + 75 = 267

Number of blue tiles drawn in the five trials = 18 + 11 + 20 + 4 + 32 = 85

Experimental probability of drawing a blue tile = number of blue tiles drawn / number of draws = 85 / 267 = 31.84%

To compare the two probabilities, we subtract the experimental probability from the theoretical probability:

Theoretical probability - experimental probability = 27.78% - 31.84% = -4.06%

The result is negative, which means that the experimental probability is greater than the theoretical probability.

However, we need to express this difference as an absolute value (i.e., without the negative sign) and as a number of percentage points.

The absolute value of -4.06% is 4.06%, and this is the amount by which the experimental probability is greater than the theoretical probability.

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Answer 2

Answer:

Answer:

The experimental probability is 4.06 percentage points greater than the theoretical probability.

Step-by-step explanation:

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A pilot takes a taxi from the airport to the hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equation can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?a y = 2.65(x + 2.50)b y = 2.65x-2.50c y = 2.50x+2.65d y = 2.65x+2.50

Regular quadrilateral pyramid with base edge b=55 mm and lateral edge l=7 cm. Find the sum of all edges

Answers

The correct answer is 50 cm or 500 mm. There are 4 base edges and 4 lateral edges, so just multiply the number for both edges by 4 and add. The question threw a curveball at us by giving us two units of measurement, millimeters and centimeters, but since we know that there are 10 millimeters in a centimeter, we can just divide 55 by 10 to get 5.5.

5.5 x 4 = 22
7 x 4 = 28
28 + 22 = 50

If it helps, you can draw the figure and label the edges. Remember that the lateral edge of a quadrilateral pyramid is the slanted line leading up to the top of the pyramid, and that the base edges are the sides of the quadrilateral on the bottom.

Hope this helps!

Answer:

Step-by-step explanation:

55 · 4 - 10 · 7 = 220 - 70

Match each number set with the most accurate definition.

Answers

Natural numbers: from 1 upwards

Whole numbers: from 0 upwards

Integers: ...-3, -2, -1, 0, 1, 2, 3, ...

Rational numbers: fractions between two integers

Irrational numbers: can't be written as fraction between two integers

Real numbers: either can or cannot be written as fraction between two integers

These are all definitions, so there really isn't much to explain..They are just names we've given to these sets!

If it takes 4 men 6 hours to repair a road, How long will it take 3 men to do the job if they work at the same rate ?

Answers

Answer:

8 Hours

Step-by-step explanation:

Let the the length of the road x

It takes 4 men 6 hours to repair a road and they work at the same rate.

So, each one will repair 0.25x

And the rate to repair the road will be 6 hour per 0.25x.

rate = $(6 \ hours)/(0.25\ x)$

Now, if 3 men will do the job

each one of them will repair (1/3) x with the same previous rate

∴ $(time)/(1/3 \ x) = (6 \ hours)/(0.25 \ x) \nTime = (1)/(3) x * (6 \ hours)/(0.25 \ x) = (2)/(0.25) =8$

So, The 3 men will do the job at 8 hours.

Answer:8 hours

Step-by-step explanation:

I did it in my head

The table shows a golfer's scores for four rounds of a recent US Women's Open. Her total score was even par. What was her 3rd round score?

Answers

The definition of par in golf is the predetermined number of strokes that a golfer should require to complete a hole. Even par means that he has made out the expected hits is made , no more no less.

To translate this into equation even par would have a sum equal to 0.

thus
(-1)+(-3)+(s)+(+2)=0

and finding s will give us

s = + 2

Hope my answer would be a great help for you.
If you have more questions feel free to ask here at Brainly.

Answer:

The value of s is plus 2.

Step-by-step explanation:

Par is the number of strokes that a golfer requires to complete a hole.

"Even par" is the term used ,when a golfer uses the same number of strokes as a hole's par rating means no more or no less.

Here, we will equate all the scores to zero, to get the value of s.

$(-1)+(-3)+(s)+(+2)=0$

=> $-1-3+s+2=0$

=> $-4+s+2=0$

=> $s=4-2=2$

Therefore, $s=+2$

adam, ming, and Clinton sold sandwiches in the ratio 4:7:3 to raise money fir their Scout troop. Ming sold 91 sandwiches. How many sandwiches did the three boys sell together

Answers

Answer:

They sold 182 sandwiches all together.

Step-by-step explanation:

We now that the sell ratio is 4:7:3, where 4 represents Adam, 7 represents Ming, and 3 represents Clinton.

An important characteristic of ratios is that they have a constant of change, which we can calculate using Ming's sandwiches sold and his ratio. If we divided these facts, we have:

$(91)/(7)=13$

This means that the constant of change is 13, now, if Ada and Clinton are in the same ration, the must also have the same constant of change, this means that we can multiply 13 in each case to get the total amount of sandwiches sold:

$4(13)+91+3(13)=52+91+39=182$

Therefore, they sold 182 sandwiches all together.

182 sandwiches in total, 91 sandwiches divided by 7 is 13. Multiply 13 by all the other numbers and add.

spinniong a spiner that has 5 equal sections marked 1-5 and landng on an even number. What your answer im simplest form and finding each probability

Answers

You would have a 40% chance or a 2/5 chance because 5 numbers 1 through 5 would be 1 2 3 4 5 so 2/5 of the numbers are even, but 40% would also be the answer because 20% of 5 is 1, and 40% of 5 is 2. So 2 out of 5 are even so your answer is you have a probability of 40% or 2/5 toland on an even number. Please mark brainliest if this helped

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