1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marta [7]
3 years ago
10

You have a set of cards labeled 1-10. Set A is drawing an even card. Set B is drawing a 8 or higher. What is the P ( A ∪ B ) ? E

xpress your answer as a decimal.
Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Set A is drawing an even card: 2, 4, 6, 8, 10

Set B is drawing a 8 or higher: 8, 9, 10

P ( A ∪ B ) = 2, 4, 6, 8, 9, 10 = 6/10 = 0.6

Answer:

P ( A ∪ B ) = 0.6

You might be interested in
The stadium has 53,000 seats seats sell for $42 in section 8 $36 in section B $30 in section C the number of seats in this in se
Zielflug [23.3K]

Answer:

Section A = 26,500 seats

Section B = 14,900 seats

Section C = 11,600 seats

Step-by-step explanation:

Total seats = 53,000

Total revenue = 1,997,400

Section A seat = $42

Section B seat = $36

Section C seat = $30

The number of seats in this in section A equals the total number of seats in section BNC

A = B + C

A + B + C = 53,000 (1)

42A + 36B + 30C = 1,997,400 (2)

Substitute A = B + C into (1)

A + B + C = 53,000

B + C + B + C = 53,000

2B + 2C = 53,000

2(B + C ) = 53,000

B + C = 53,000 / 2

= 26,500

B + C = 26,500 (3)

Substitute B + C = 26,500 into (2)

42A + 36B + 30C = 1,997,400

Recall,

A = B + C

42( 26,500) + 36B + 30C = 1,997,400

1,113,000 + 36B + 30C = 1,997,400

36B + 30C = 1,997,400 - 1,113,000

36B + 30C = 884,400. (4)

Multiply (3) by 30

B + C = 26,500 × 30

30B + 30C = 795,000 (5)

36B + 30C = 884,400 (4)

Subtract (5) from (4) to eliminate C

36B - 30B = 884,400 - 795,000

6B = 89,400

B = 89,400/6

= 14,900

B = 14,900

From (3)

B + C = 26,500

C = 26,500 - B

= 26,500 - 14,900

= 11,600

A = B + C

= 14,900 + 11,600

= 26,500

Section A = 26,500 seats

Section B = 14,900 seats

Section C = 11,600 seats

8 0
2 years ago
PLSS HELP ME WITH THIS
kolbaska11 [484]

Answer:

127

Step-by-step explanation:

400+1495=1895

1895/15=126.333333333

8 0
3 years ago
Use the distributive property to simplify the expression: -4(4x + 3) + (7x - 2)
Elodia [21]
-4(4x+3) + (7x -2) = (-16x + -12) + (7x + 2) = -16 + -12 + 7x + 2 = -9x -10
The answer is -9x -10
7 0
3 years ago
Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
Goshia [24]

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0
3 years ago
Fill in the table using this function rule y=-6x-2 -1,0,1,5
Sati [7]

Answer:

-1 = 4

0 = -2

1 = -8

5 = -32

Step-by-step explanation:

trust

8 0
3 years ago
Other questions:
  • Round 7097284 to the nearest 10th of a million
    5·2 answers
  • Help with this question, please!!
    13·2 answers
  • The expression 17 + 2 × 9 ÷ 3 + 4 × 6 ÷ 8 is equivalent to what number?
    15·1 answer
  • Calcule:<br><br><br> a) (m-1/2)² b) (a/2-1)²
    6·1 answer
  • At a camground, a rectangular fire pit is 6 feet by 5 feet. What is the area of the largest circular fire that can be made in in
    9·1 answer
  • What is the solution to the equation? 13 3/4+X= 7 1/ 4​
    8·1 answer
  • Solve the following equation for the variable x. Show your complete work (looking for exact steps not just the answer) 2+x+6-2+8
    6·1 answer
  • Which of the following is equivalent to x^5y^2/xy^2 when x is not equal to 0 and y is not equal to 0
    5·1 answer
  • a senator wishes to estimate the proportion of united states voters who favor new road construction. what size sample should be
    12·1 answer
  • Match the expressions with the property used to generate 5y + 2y + 6 + 2. what is the expression and what is the property?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!