A box contains 10 cards numbered 1 through 10.Which events are mutually exclusive?

A.
A card is drawn from the box and the number is odd.
A card is drawn from the box and the number is 10.

B.
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 4.

C.
A card is drawn from the box and the number is even.
A card is drawn from the box and the number is 8.

D.
A card is drawn from the box and the number is a multiple of 3.
A card is drawn from the box and the number is 6.

Answers

Answer 1

Answer: It's answer will be option A.

As in option A, both statements can not be true at the same time.
In option A, first statement is that the card drawn has odd number and second statement is card drawn is 10, which can not be possible at the same time.

In option B, both statements can be true at the same time.
In option B, first statement is that the card drawn has an even number and second statement is card drawn is 4, which can be possible at the same time.

In option C, both statements can be true at the same time.
In option C, first statement is that the card drawn has an even number and second statement is card drawn is 8, which can be possible at the same time.

In option D, both statements can be true at the same time.
In option D, first statement is that the card drawn has a number which is multiple of 3 and second statement is card drawn is 6, which can be possible at the same time.

So, the events of option A are mutually exclusive.

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Simplify the following expression. 7- 5/8 x 7 -7/8 A. 1/14 B. 14 C. 1/49 D. 49
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Solving equations... 4+3x=5 What is X?
9,277,414 The 7 in the thousands place is _____ the value of the 7 in the ten thousands place A. 10x B. 100x C. 1/10 D.1/100 E. 1/1000

A.
Tell if the sequence is arithmetic, geometric or
neither: 5, 30, 180, 1080

Answers

Answer:

It is geometric

Step-by-step explanation:

Because it is increasing as 6 is being multiplied.

Simplify (6x2 − 3 + 5x3) − (4x3 − 2x2 − 16).2x3 − x2 + 21
−2x3 + x2 − 21
x3 + 8x2 + 13
−x3 − 8x2 + 13

Answers

If you would like to simplify (6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16), you can calculate this using the following steps:

(6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16) = 6x^2 − 3 + 5x^3 − 4x^3 + 2x^2 + 16 = x^3 + 8x^2 + 13

The correct result would be x^3 + 8x^2 + 13.

Answer:

Simplified form of $(6x^(2)-3+5x^(3))-(4x^(3)-2x^(2)-16)$ is $1x^(3)+8x^(2)+13$ .

Step-by-step explanation:

As given the expression

$= (6x^(2)-3+5x^(3))-(4x^(3)-2x^(2)-16)$

Now open the bracket

$= 6x^(2)-3+5x^(3)-4x^(3)+2x^(2)+16$

$= 1x^(3)+8x^(2)+13$

Therefore the simplified form of $(6x^(2)-3+5x^(3))-(4x^(3)-2x^(2)-16)$ is $1x^(3)+8x^(2)+13$ .

What is the mean of the data set? I got 177 when i added up the numbers but what would i divide 177 by?12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18

A.14.00

B.14.75

C.15.75

D.13.50

Answers

If you would like to know the mean of the data set, you can calculate this using the following steps:

The mean of the data set is the sum of all the data values divided by the number of these values.

12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18

12 + 17 + 16 + 10 + 20 + 13 + 14 + 14 + 12 + 12 + 19 + 18 = 177
the number of data values: 12
177 / 12 = 14.75

The correct result would be B. 14.75.

Luca is planning to pay the restaurant bill for his coworkers. The bill was $193.75. A 4% tax was then added by the waiter. If Luca wants to leave a 16% tip on the total amount including the tax, how much should Luca pay? A)$201.50
b)$217.50
c)$224.75
d)$233.74

Answers

The amount of bill before tax = $193.75
Percentage of tax added by the waiter = 4%
Amount of tax added by the waiter = (4/100) * 193.75 dollars
= 775/100 dollars
= 7.75 dollars
Total bill after tax = (193.75 + 7.75) dollars
= 201.50 dollars
Percentage of tips that Luca wants to give = 16%
Amount of tips that Luca wants to give = (16/100) * 201.50 dollars
= 32,24 dollars
The total amount that Luca needs to pay = (201.50 + 32.24) dollars
= 233.74 dollars
The correct option among all the options that are given in the question is option "d".

the answer is B. $233.74 i got it right on the test

Line m has a y-intercept of c and a slope of q/p, where p > 0, q > 0, and p ≠ q.What is the slope of a line that is perpendicular to line m?

Answers

Answer:

-p/q

Step-by-step explanation:

m1 = Slope of line 1 (Line m) = q/p

m2 = Slope of line 2

Since the lines are perpendicular,

m1•m2 = -1

Therefore,

m2 = -1/m1

m2 = -1/(q/p)

m2= -p/q

Please mark brainliest,

Thanks.

Which best describes the solution set for the compound inequality below? (pick the best answer)2(x + 7) – 1 > 15 or 3(x + 2) < 2x + 7
A. no solution
B. x = 1
C. all real numbers except x = 1
D. all real numbers

Answers

2(x + 7) - 1 > 15 3(x + 2) < 2x + 7
2x + 14 - 1 > 15 3x + 6 < 2x + 7
2x + 13 > 15 3x - 2x < 7 - 6
2x > 15 - 13 x < 1
2x > 2
x > 2/2
x > 1

so, x > 1 OR x < 1.....all real numbers except 1

Answer:

C is your answer

Step-by-step explanation:

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