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Art [367]
3 years ago
7

Heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, 15 green blocks, 8 yellow blocks, and 20 orange blocks. I

f she was to draw a block out of the bag, record the color and replace the block back in the bag, repeating 500 times, what would most likely be the probability of drawing an orange block (round to the nearest hundredth)?
A) 0.14
B) 0.19
C) 0.20
D) 0.25
Mathematics
1 answer:
forsale [732]3 years ago
3 0
There is a total of 16+11+9+15+8+20 = 79 blocks.  Since she is replacing the block each time it is drawn, the probability that she draws an orange block is always the same (10 draws or 500 draws).  Since 20 of the blocks are orange, the probability would be

20/79 or

D) 0.25
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At a gymnastics competition, Joey scored 9.4, 9.7, 9.9, and 9.8. Carlos scored 9.5, 9.2, 9.7, and 9.6. Who had the greater avera
8090 [49]
You got add all the numbers up and divide it by how many numbers there are to get the average.
9.4 +9.7 + 9.9 + 9.8 = 38.8 divided by 4 =9.7 is Joey's average.
9.5 +9.2 +9.7 +9.6 =38 divided by 4 = 9.5 is Carlos' average.
Joey has more average by 0.2.
5 0
3 years ago
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somebody read 50 pages of a book in 50 minutes she reads at a constant rate how many pages did she read per minute
miv72 [106K]
If she reads 50 pages of a book in 50 minutes, just divide 50 by 50.

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4 0
3 years ago
A standard doorway measures 6 feet 8 inches by 3 feet. What is the largest dimension that will fit through the doorway without b
nikdorinn [45]

Answer:

87.73 inches

Step-by-step explanation:

We are given that the dimensions of the rectangular doorway are,

Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.

Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.

i.e. hypotenuse^{2}=length^{2}+width^{2}

i.e. hypotenuse^{2}=80^{2}+36^{2}

i.e. hypotenuse^{2}=6400+1296

i.e. hypotenuse^{2}=7696

i.e. Hypotenuse = ±87.73 inches

Since, the length cannot be negative.

So, the length of the diagonal is 87.73 inches.

As, the largest side of a rectangle is represented by the diagonal.

So, the largest dimension that will fit through the doorway without bending is 87.73 inches.

7 0
3 years ago
Quadrilateral ABCD is dilated by a scale factor of 2 centered around (2, 2). Which statement is true about the dilation?
arsen [322]

Answer:

Option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.

Step-by-step explanation:

As the assumption quadrilateral ABCD is shown in figure a.  

First located the center of the dilation which is located at (2,2) as shown in figure b.  

The next thing we want to do is to determine the distance of the center of dilation to each of the points of quadrilateral ABCD as shown in figure b.  

Let’s just start with the distance from the center to the point A, but notice we don’t have to move up and down in y direction. So, what we have to do is to increase this by the factor 2. Because this horizontal distance is 1 i.e. the distance from dilation center (2,2) to point A, we just have to multiply by 2 which would be a distance of 2 and this point right here will be the new location of point A’ (0,2).

And the distance from the center to the point C is the horizontal distance of 2 i.e. the distance from dilation center (2,2) to point C, we just have to multiply by 2 which would be a distance of 4 and this point right here will be the new location of point C’ (6,2).

And the distance from the center to the point B is the upward vertical distance of 1 i.e. the distance from dilation center (2,2) to point B, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point B’ (2,4).  

And similarly the distance from the center to the point D is the downward vertical distance of 1 i.e. the distance from dilation center (2,2) to point D, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point D’ (2,0).

So, Quadrilateral A'B'C'D' is dilated by a scale factor of 2 centered around (2, 2).

Just notice in figure b that the segment B'D' will run through (2,2) and will be longer than the segment BD.

<u>So,option (B) is true</u> <u>i.e segment</u><u> </u><u>B'D' will run through (2,2) and will be longer than the segment BD.</u>

<u />

Learn more about dilation from brainly.com/question/12528454

#learnwithBrainly

3 0
3 years ago
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What is the probability of getting an odd number and a 4 sided shape on the spinner?
-Dominant- [34]

Answer:

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Step-by-step explanation:

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