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Andrew [12]
4 years ago
15

Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a he

art. He picks one button, replaces it, and then picks another button. The sample size for this compound event is  ___  Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be ____
Mathematics
2 answers:
Readme [11.4K]4 years ago
7 0
Part A: There are five buttons in all in all in the given item. The item above can be answered through the fundamental principles of counting. 

There are 5 items to choose from during the first pick. Because the shape can be returned and picked again, there are also 5 items to choose from in the second pick. Multiplying them,
                               n = 5 x 5 = 25
Therefore, the sample size for the compound event is equal to 25.

Part B: The same concept can be used in this part of the item; however, instead of 5 there are 6 buttons to choose from.
                              n = 6 x 6 = 36

Hence, the sample size of this picking process is 36. 
MAVERICK [17]4 years ago
6 0

Answer: is  25,36

Step-by-step explanation:

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Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

-10x + 6 = -12x - 3

2x = -9

x = -4 _1 2 ( -4 1/2)

The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x - 24 = -12x - 6 - 4

-10x - 24 = -12x - 10

2x = 14

x = 7

Student B is correct.

Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4

Then we will get

2x -12x -24 = -12x -6 -4

Adding the like terms

-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

8 0
3 years ago
Below is the frequency distribution of the weights (in kg) of some sample of teen-agers.
julia-pushkina [17]

Usually, the terms “data” and “information” are used interchangeably. However, there is a subtle difference between the two.

In a nutshell, data can be a number, symbol, character, word, codes, graphs, etc. On the other hand, information is data put into context. Information is utilised by humans in some significant way (such as to make decisions, forecasts etc).

A basic example of information would be a computer. A computer uses programming scripts, formulas, or software applications to turn data into information.

Let us have a detailed look at the difference between data and information in a tabular column below

3 0
3 years ago
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leva [86]
Out of the six, only “u” wouldn’t work so the answer is d. 5

Hope this helps and hope you have a great day! Please make brainiest
4 0
3 years ago
Read 2 more answers
In the expretion7to the third power-4*3+8 the firstt operation is
xxMikexx [17]

Answer:

7³

Step-by-step explanation:

Using PEMDAS, we see that E (which stands for exponents) comes before M (which stands for multiplication) and A (which stands for addition) so the first operation you should do is 7³.

8 0
3 years ago
PLEASE HELP! (1/4) - 50 POINTS -
Annette [7]

Answer:

  D)  0.35

Step-by-step explanation:

The table gives the area between z=0 and the given magnitude of z. That is, the area between z = 0 and z = -0.6 is 0.23, as found in the 0.6 column of the table. Similarly, the area between z = 0 and z = 0.3 is 0.12, as found in the 0.3 column of the table.

The area between z = -0.6 and z = +0.3 is the sum of these areas:

  p(-.6<z<.3) = 0.23 +0.12 = 0.35

5 0
3 years ago
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