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3 years ago

What is the probability of obtaining prime numbers when a fair dice is thrown?

Mathematics

2 answers:

11111nata11111 [884]3 years ago

6 0

Answer:

2/3

Step-by-step explanation:

1 2 3 5 are prime numbers. that 4/6 which is 2/3

Anettt [7]3 years ago

4 0

Answer:

probability: 4/6 = ~66.67%

simplified: 2/3

Step-by-step explanation:

Prime numbers are numbers that cannot be factored into smaller natural numbers (whole numbers).

In a ordinary cube, there are 6 sides, numbered 1 - 6. Find the factors of each number:

1: 1

2: 1 ,2

3: 1 , 3

4: 1 , 2 , 4

5: 1 , 5

6: 1 , 2 , 3 , 6

If there is any number with only 1 and the number itself, then it is a prime number. In this case, it will be 1, 2, 3, 5, or 4 sides in all.

4/6 is your probability of rolling a prime number for a fair dice.

Most likely, you will need to simplify. Divide 2 from both numerator & denominator:

(4/6)/(2/2) = 2/3

2/3 is your simplified answer.

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Which complex number has an absolute value of 5?<br> -3 + 4i<br> 2 +3i<br> 7-2i<br> 9 +4i

fiasKO [112]

Answer:

-3+4i

Step-by-step explanation:

on a graph the complex number is (-3,4) The magnitude is -3^2+4^2=c^2

c=5 when solved

6 0

2 years ago

Read 2 more answers

Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the rig

iogann1982 [59]

Answer:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

$A_i = 7 in *5 in = 35in^2$

And we know that the initial area is a half of the entire area in red $A_i = \frac{A_f}{2}$ , so then:

$A_f = 2 A_ i =2*35 = 70$

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

$70 = (x+7) (x+5)$

We multiply both terms using algebra and the distributive property and we got:

$70 =x^2 +12 x +5$

And we can rewrite the expression like this:

$x^2 +12 x -35 = 0$

And we can solve this using the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where $a = 1, b =12 and c=-35$ if we replace we got:

$x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}$

And the two possible solutions are then:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

3 0

3 years ago

A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos

vova2212 [387]

Answer:

36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

w(52 -w) = 576

w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

w² -52w +26² = 26² -576 . . . . . . complete the square

(w -26)² = 676 -576 = 100

w = 26 ±√100 = {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

5 0

3 years ago

Giving Brainliest!! 1.About how many students prefer to watch cartoons? (1 point)

frosja888 [35]

Answer : 1. B
2. D
3. D

7 0

3 years ago

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Evaluate the determinant for the following matrix [144] [522] [155]

WARRIOR [948]

Matrix :

1    4    4

5 2    2

1    5    5

=> Determinant =

1 * (2*5 - 2*5) - 4 * (5*5 - 1*2) + 4 * ( 5*5 - 2*1)

= 1*(10 - 10) - 4*(25 - 2) + 4*(25 -2) = 1*0 + 4* 23 + 4*(25 - 2) = 0 - 4*23 + 4*23 = 0

Answer: 0

8 0

3 years ago