Please read the question and answer if you can 6th grade

The Intersection of events A and B (A ∩ B) in this particular scenario has no outcomes, as there are no combinations that satisfy both the conditions of having an even sum and being divisible by 3.

The outcomes in the intersection of events A and B, we first need to identify the possible outcomes for each event.

Event A represents the sum of the dice being even. For a pair of dice, there are a total of 36 possible outcomes (6 sides on the first die multiplied by 6 sides on the second die). Out of these outcomes, half will result in an even sum. This is because if one die shows an odd number, the other die must show an even number to achieve an even sum. Therefore, Event A consists of 18 outcomes.

Event B represents the sum of the dice being divisible by 3. To determine the outcomes for Event B, we need to identify the combinations of numbers on the dice that add up to a multiple of 3. There are four such combinations: (1, 2), (2, 1), (2, 4), and (4, 2). These four combinations result in a sum that is divisible by 3. Hence, Event B consists of four outcome.

The outcomes in the intersection of A and B (A ∩ B), we need to identify the outcomes that satisfy both conditions, i.e., the outcomes that are both even and divisible by 3. From the information above, we know that Event A has 18 outcomes and Event B has four outcomes. However, none of the outcomes satisfy both conditions simultaneously. Therefore, the intersection of A and B (A ∩ B) has no outcomes.

It is important to maintain academic integrity by avoiding plagiarism. Plagiarism involves using someone else's work or ideas without proper attribution. To ensure originality, it is essential to express the information in your own words and provide accurate explanations based on the given data.

In conclusion, the intersection of events A and B (A ∩ B) in this particular scenario has no outcomes, as there are no combinations that satisfy both the conditions of having an even sum and being divisible by 3.

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Answer:

6) .000000947

7) 244000000

8) .076

Answer:

circumference = 8 x 3.14 = 25.12 m

area = 3.14(4²) = 50.24 m²

Step-by-step explanation:

Answer:

C= about 25.13

A= about 50.27

Step-by-step explanation:

The formula for circumference is 2* pi* r

The formula for area is pi *r^2

Answer

1/216000

Step-by-step explanation:

1/60 x 1/60 x 1/60

I hope this helps

The probability of guessing the combination correctly is extremely low, approximately 0.00046%.

Probability is represented as the likelihood of an occurrence being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

There are 60 possible numbers on the rotary dial of the padlock, from 0 to 59. To calculate the total number of possible combinations, we can use the multiplication principle of counting.

Since the combination has three numbers, each of which may be any of the dial's 60 possible digit numbers, the total number of possible combinations is:

60 x 60 x 60 = 216,000

As a result, the padlock has 216,000 probable combinations.

If you were to predict random numbers, your chances of getting the proper combination are as follows:

1 / 216,000

This is due to the fact that there is only one accurate combination among the total of 216,000 conceivable combinations.

The likelihood of successfully guessing the combination is extremely low, around 0.00046%, implying that a human cannot open the padlock by randomly guessing the combination.

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Answer: 53.79

Step-by-step explanation:

Answer:

10 if the other the numbers go up as well

Step-by-step explanation:

20/2= 10

Which would mean Kora could make 10 s'mores

Answer:

if mi stands for miles then 8 miles = 14080 yards

Step-by-step explanation:

8 x 1760

Answer:

14080

Step-by-step explanation:

8 * 1760 = 14080

Answer:

39 glasses

Step-by-step explanation:

use proportion:

g = # glasses punch

4/6 = g/26

cross-multiply

4g = 26(6)

4g = 156

g = 39

Answer:

who do pow en odd an odd an 9 all 9 FM

Answer:

yes, there are fewer numbers to compute.

It's just one length x the number of sides.

Step-by-step explanation:

Answer:

1078m²

Step-by-step explanation:

Formulas:

Total Surface Area  = 2B + Ph

Area = 1/2bh

Solve:

19 × 17 = 323

19 + 19 + 17 + 17 = 72

h = 6m

B = 323m

P = 72m

Total Surface Area = 2(323m) + (72m × 6m) = 1078m²

The points (2, 1), (1, 0), (2, 1), (4, 2), and (8, 3) will be plotted on the graph accordingly. The x-coordinate represents the value from the domain, and the y-coordinate represents the corresponding value obtained by evaluating the equation

To plot the points on the graph for the equation y = log2x, we will substitute the given values from the domain (2, 1, 2, 4, 8) into the equation and calculate the corresponding y-values.

For x = 2, y = log2(2) = 1. The point (2, 1) represents this on the graph.

For x = 1, y = log2(1) = 0. The point (1, 0) represents this on the graph.

For x = 2, y = log2(2) = 1. The point (2, 1) represents this on the graph.

For x = 4, y = log2(4) = 2. The point (4, 2) represents this on the graph.

For x = 8, y = log2(8) = 3. The point (8, 3) represents this on the graph.

Now, we can plot these points on the graph. The x-axis will range from 0 to 10, and the y-axis will range from -1 to 4 to accommodate the points we have calculated.

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Answer:

2.9375 inches or 2 15/16"

Step-by-step explanation:

23 1/2 feet equals 282 inches

(1/8 ÷ 12) = (x ÷ 282)

cross-multiply:

35.25 = 12x

x = 2.9375 or 2 15/16 inches

The equation -10x + 34 is the simplification for the given expression.

Here it is important to remember the rules for the  addition of integers numbers:

+  +   Add  Final result (+)  

-   -   Add  Final result (-)  

+  -   Subtract  Final result (the sign of the integer having a greater value )

-   +  Subtract  Final result (the sign of the integer having a greater value )

The rules for multiplication of numbers are:

     The result presents a positive sign (+) because the signs are same.

    The result presents a negative sign (-) because the signs are different.

First, you should apply the distributive property and the multiplication sign rules.

(x-4)(x-7) + (3-x)(2+x)

x²-7x-4x+28+6+3x-2x-x²

After that, you should simplify the previous result from addition or subtraction sign rules.

x²-11x+34+x-x²

-10x + 34

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The area of a circle with a radius of r is [tex]pi r^2[/tex]

Answer:

D

Step-by-step explanation:

because 1 is a factor of every number and also three is a factor of 27

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer: The Y-intercept would be positive 3, and your slope would be for every single risen coordinate on the Y axis, you move on the X-axis by 4.

Answer:

The probability is 11/28 or 39%

Step-by-step explanation:

You add 5+6=11 and their are 28 total chips.

9514 1404 393

Answer:

  D  cos(N)

Step-by-step explanation:

In case you haven't remembered the fact that the sine of an angle is equal to the cosine of its complement (the other acute angle in a right triangle), you can always go back to the definitions.

  Sin = Opposite/Hypotenuse

  sin(L) = NM/NL

and

  Cos = Adjacent/Hypotenuse

  cos(N) = NM/NL = sin(L)

The equivalent of sin(L) is cos(N).

Answer:

the answer is 12

Answer:

Step-by-step explanation:

AB = 2EB

AB=CD

Due to that

Cd = 2EB therefore

CD = 10

Answer:

Mean: 14

Median: 15

Mode: All values appear just once

Range: 7

Answer:

6 1/2 in^2

Step-by-step explanation:

(4(3 1/4)) / 2 = 6 1/2 in^2

Answer:

6 1/2 or 6.5 in2

Step-by-step explanation:

A= Bxh/2

4x 3.25/2= 6.5

A=6.5 of 6 1/2

Solution :

Given :

p = 12% = 0.12

n = 15..

Mean is defined as the product of a sample size n and the probability p such that :

[tex]$\mu_X = np = 1500 \times 0.12$[/tex]

             = 180

Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :

[tex]$\sigma_X = \sqrt{np(1-p)}$[/tex]

[tex]$\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$[/tex]

     ≈  12.5857

The z-score is given by :

[tex]$z=\frac {x- \mu}{\sigma } $[/tex]

[tex]$z=\frac {165-180} {12.5857 }$[/tex]

 ≈  -1.19  

[tex]$z=\frac {x- \mu}{\sigma } $[/tex]

[tex]$z=\frac{195-180} {12.5857 }$[/tex]

 ≈  1.19  

Now determining the corresponding probability using table  :

P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )

                            = 1-2 x P(Z < -1.19)

                            = 1-2 x 0.1170

                            = 1-0.2340

                            = 0.7660

                             = 76.60%

Given values,

           = 0.12

The mean will be

→ [tex]\mu x = np[/tex]

By putting the values,

       [tex]= 1500\times 0.12[/tex]

       [tex]= 180[/tex]

The standard deviation will be:

→ [tex]\sigma x = \sqrt{np(1-p)}[/tex]

       [tex]= \sqrt{1500\times 0.12\times (1-0.12)}[/tex]

       [tex]= 12.5857[/tex]

The z-score will be:

→ [tex]z = \frac{x- \mu}{\sigma}[/tex]

     [tex]= \frac{165-180}{12.5857}[/tex]

     [tex]= -1.19[/tex]

and,

→ [tex]z = \frac{195-180}{12.5857}[/tex]

     [tex]= 1.19[/tex]

hence,

The probability will be:

→ [tex]P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)[/tex]

                                [tex]= 1-2\times P(Z < -1.19)[/tex]

                                [tex]= 1-2\times 0.1170[/tex]

                                [tex]= 1-0.2340[/tex]

                                [tex]= 0.7660[/tex]

                                [tex]= 76.60[/tex] (%)

Thus the answer above is right.  

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Answer:

B

Step-by-step explanation:

Answer:

The awnser is d i think

Answer:

No

Step-by-step explanation:

No, absolutely not. I don't think we'd have the same sample average number. The randomising of values is quite high, very high, for one to think that we'd end up having the same average. Walking out there, talking to random people who don't even know each other at all means they will definitely give different numbers. Again, when you look at it, there are 21 of us, 21 is also a high number as well.

I believe with all these factors involved and actively militating, 21 people can't have the same sample average. No!