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algol13
3 years ago
14

A die is thrown. Describe the following events: (i) A: a number less than 7 (ii) B: a number greater than 7 (iii) C: a multiple

of 3 (iv) D: a number less than 4. (v) E: an even number greater than 4 (vi) F: a number not less than 3 (vii) find A× (B∩ E), A ∩B, B ∪ C, E ∩ F∩ D. Answer this if u want to be marked as the brainliest!
Mathematics
1 answer:
netineya [11]3 years ago
8 0

A: The probability of a number rolling less than 7 is 100% or 1 because a dice only has numbers 1,2,3,4,5, and 6. 1,2,3,4,5, and 6 are all less than 7 so you are guaranteed to roll a number less than 7.

B: The probability of a number rolling more than 7 is 0% or 0 because a dice only has numbers 1,2,3,4,5, and 6. 1,2,3,4,5, and 6 are all less than 7 so it's not possible to roll a number more than 7.

C: The probability of a number rolling to be a multiple of three is 33.33(repeating)% or 1/3. Out of 1,2,3,4,5, and 6, the multiples of 3 are, 3 and 6. 3 and 6 is two numbers out of six numbers. 2 out of 6 simplifies to 1 out of 3.

D: The probability of a number rolling to be less than 4 is 50% of 1/2. Out of the numbers, 1,2,3,4,5, and 6, only 1,2, and 3 are less than 4. 1,2, and 3 is three numbers out of six numbers. 3 out of 6 simplifies to 1 out of 2.

E: The probability of a number rolling to be an even number greater than 4 is 0.166(repeating) or 1/6. Out of the numbers, 1,2,3,4,5, and 6, 2,4, and 6 are even numbers. Out of 2,4, and 6, only 6 is greater than 4. 4 is one number out of 1,2,3,4,5, and 6 (six numbers).

F: The probability of a number rolling to be a number not less than 3 is 50% or 1/2. "Not less than" actually means greater than. In the numbers, 1,2,3,4,5, and 6, only 4,5, and 6 are greater than 3. 4,5, and 6 are three numbers. 3 out of 6 simplifies to 1 out of 2.

I don't really know the answer to the last question but anyways I hope this helped! ♡

❀ Have a good day! ❀

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You invest $10,000 in an account with 1.250% interest, compounded
Luden [163]

Answer:

Growth of $10,000 at 2% Interest

Year Amount

0 $10,000

1 $10,200

2 $10,404

3 $10,612

4 $10,824

5 $11,041

6 $11,262

7 $11,487

8 $11,717

9 $11,951

10 $12,190

$10,000 for 10 Years by Interest Rate

Rate Amount

1% $11,046

2% $12,190

3% $13,439

4% $14,802

5% $16,289

6% $17,908

8% $21,589

10% $25,937

12% $31,058

15% $40,456

20% $61,917

Step-by-step explanation:

5 0
2 years ago
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lakkis [162]

SSA

Step-by-step explanation:

put name of triangle abc are same

4 0
3 years ago
The product of some negative number and 4 less than twice that number is 336. Find the number.
Dennis_Churaev [7]

Let the number be 'x'

Since, the product of number and 4 less than twice that number is 336.

x \times [(2 \times x) -4] = 336

x[2x -4] = 336

2x^2 -4x- 336=0

x^2-2x-168=0

Now, we will split the middle term, we get

x^2-14x+12x-168=0

x(x-14)+12(x-14)=0

(x-14)(x+12)=0

So, (x-14)=0 or (x+12)=0

So, x = 14 or x = -12

Therefore, the negative number is '-12'.

7 0
3 years ago
If a = 3 and b = 2, what is the value of the expression 11 + a - b ?
Vadim26 [7]
Substitute the values of a and b into the expression:
11 + 3 - 2
Add first because of order of operations (perform addition and subtraction in the order of occurrence from left to right):
14 - 2
Subtract (same justification as above just with subtraction instead):
12
Hope this helps!
4 0
3 years ago
What is the equation of the line perpendicular to 2x - 3y = 13 that passes through the point (-6, 5)?
Arte-miy333 [17]

Answer: 2y + 3x = -8.

Step-by-step explanation:

Given our first equation 2x-3y =13, we rewrite in the form of equation of a line, i.e y = mx + c

Where m is the slope of the line and c is the intersection on y axis.

By rewriting, we have...

3y= 2x-13

y= 2x/3 - 13/3.

m= 2/3, c= -13/3.

For two perpendicular lines, the product of their gradients is -1

i.e

m¹ * m² = -1

Hence m² = -1 * 3/2

m² = -3/2.

Hence, to get the equation of the line passing through the point (-6,5) we first find the intersection when x=0 given as

[Y-c]/[x-0] = -3/2

2y - 2c = -3x

2(5) - 2c =- 3(-6)

10-18= 2c

C = -8/2

C= -4

Then the equation is given as

y = mx + c

y = [-3/2]x - 4

2y= -3x - 8

2y + 3x = -8.

3 0
3 years ago
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