Given P(A)=0.8P(A)=0.8, P(B)=0.62P(B)=0.62 and P(A union B)=0.874P(A∪B)=0.874, find the value of P(A unionB)P(A∩B), rounding to the nearest thousandth, if necessary.

Answer:

a) 1/3

b) 12/44

Step-by-step explanation:

To find the answer to a you must simplify the fraction 16/48 which would give you 1/3.

To find the answer to b you must first subtract 16 from 48 and then add 12. You should get 44 so your ratio of passengers who got on the bus at the stop compared to the new total then on the bus would be 12/44.

Answer:  x = 25

. . . . . . . . . . . . . .

Answer:

x = -3

Step-by-step explanation:

x + 2/x = 4/3 - 1 (collect like terms)

The rest of the steps are in the screenshot.

Answer:

32h+40

Step-by-step explanation:

8*4h=32h

8*5=40

The answer to the equation is [tex]4^2=2^4[/tex]

[tex]4^2=16[/tex]

[tex]2^1= 2[/tex]

[tex]2^2=2*2=4[/tex]

[tex]2^3=2*2*2=8[/tex]

[tex]2^4=2*2*2*2=16[/tex]

Answer:

100ft²

Step-by-step explanation:

The problem here is to find the area of the room that will give a length of 10ft.

  Note;

 The room is a square room.

Now let us solve this problem;

   Area of a square is:

    Area = L²

Where L is the length of the room;

So the area of the room is;

    Area = 10² = 100ft²

The area of the room that will give a length of 10ft is 100ft²

Answer:5

Step-by-step explanation:

2x=10

10÷2= 5

x=5

Answer:

X = 5

Step-by-step explanation:

2x means x plus itself. if x + x is 10, what number fits that description?

5!

2.5 = 10, so X = 5

Answer:

26 guests

Step-by-step explanation:

Answer: 49.5

Step-by-step explanation:

All triangles equal 180 degrees

We know two of these degrees

73+57.5=130.5

180-130.5=49.5 degrees

Answer:

- 10/27

Step-by-step explanation:

Answer:

-10/27

Step-by-step explanation:

-3 1/3 divided by 9 = -10/3 divided by 9/1= -10/27

Answer:

no it is(7,2)

Step-by-step explanation:

Answer:

x² + x + 5

Step-by-step explanation:

Using Synthetic division

 - 5 | 1    6    10     25

        ↓  - 5   - 5   - 25

       -----------------------

        1    1      5      0 ← remainder

Since the remainder is zero then (x + 5) is a factor of the polynomial

The Quotient = x² + x + 5

Thus

x³ + 6x² + 10x + 25 = (x + 5)(x² + x + 5)

Answer:

51 degrees

Step-by-step explanation:

18+33=51

Answer:

3.14

Step-by-step explanation:

compare 3.4 to 3.111111111111111111...

4 is bigger than 1

3.14 is bigger than 3.1 repeating.

The number 3.1 repeating (or 3.1 with an infinite number of decimal places of 1) is equivalent to the mathematical concept of the number 3.1111..., where the digit 1 repeats indefinitely.

When comparing 3.14 and 3.1 repeating, we can consider the decimal places:

3.14 has a hundredth place digit of 4, which is greater than the repeating decimal of 3.1, where the hundredth place digit is 1.

Therefore, 3.14 is bigger than 3.1 repeating.

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Answer:

a = 38 degrees

Step-by-step explanation:

ok that line is equal to 180 degrees

180 of the line subtract 52 degrees and 90 degrees equal the missing angle

52 + 90 = 142

180 - 142 = 38

a = 38

Answer:

1. 10d + 5n = 85

2.  idk how to attach stuff

3. 17 nickels  

4. 8.5 thats weird tho since its not possible to get 85 with using only dimes you would have to use 8 dimes and 1 nickel but its doesn't ask for that so 8.5 ig

Step-by-step explanation:

5n = 85

5*17 = 85

10d = 85

10*8.5 = 85

Answer:

32h (1 day and 8h )

Step-by-step explanation:

268-12=256

256:8= 32

32h

Answer:

8x+12= 268

Step-by-step explanation:

We know that Lester already has $12, so that would be: +12

Since he works for $8 an hour, x will represent each hour: 8x

*x will determine the number of hours, if you want days, then divide the amount of hours by 24.

Answer:

8 Apples

Step-by-step explanation:

You have ten dollars, and a fee of 1.25 per apple to buy,

to find the total number of apples oliva can buy, you divide the total allowance by the cost per apple

in this case,

10.00/1.25

and you get a solution of 8 Apples.

Answer:

8 apples

Step-by-step explanation:

Answer:

okay i need to know the options

Step-by-step explanation:

For this question, you want to look at the equation and find a number with a variable.

For y = 2x + 3, 2x is the thing you should be looking at.

For the slope, you need to take out the x in 2x to find the answer. So, 2 should be your answer!

Answer:

9=4

Step-by-step explanation:

9(1)= 1+3

9(1)=9

1+3=4

9:4

Answer:

3

Step-by-step explanation:

6(-8)/-12 -1

Multiply.

-48/-12=4

Divide.

4-1=3

Subtract.

Answer:

3

Step-by-step explanation:

6(-8)/-12 -1

Now, multiply

-48/-12=4

Now, divide.

4-1=3

and your last step should be subtracting.

Maxwell runs faster than Hayley

In order to determine who runs faster, the average speed has to be determined

Average speed is total distance travelled divided by total time travelled.

Average speed = Total distance / Total time

Hayley's average speed = [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{6}[/tex]

=  [tex]\frac{3}{4}[/tex] x 6 = [tex]\frac{9}{2} = 4\frac{1}{2}[/tex] miles / hour

Maxwell's average speed = [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{2}{15}[/tex]

[tex]\frac{2}{3}[/tex] x [tex]\frac{15}{2}[/tex] = 5 miles / hour

Maxwell runs faster because he has a higher average speed when compared with Hayley

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Answer: 9.4285

Step-by-step explanation: just used a calc

Answer: 9  3/7

4 2/7 ⋅ 2 1/5 = 9  3/7

Answer:ni

Step-by-step explanation:

Answer:

y = -7

Step-by-step explanation:

Answer:  The slope is 0

Step-by-step explanation:

The slope is the difference between the y coordinates divided by the difference between the x coordinates.

Y:  9 - 9 = 0

x: -7-2 =   -9

0/-9= 0  

Answer:

Number of stickers Sarah had = 28

Number of stickers she put on her binder = x.

Number of stickers left with her = 28 - x

Number of stickers Haylee had = 40

Number of stickers she put on her locker = 3x

Number of stickers left with her = 40 - 3x

Both Sarah and Haylee had the same number of stickers left.

28 - x = 40 - 3x

=> 3x - x = 40 - 28

=> 2x = 12

=> x =  = 6

Step-by-step explanation:

For the conditions to be fulfilled number of chocolate bars Janet bought is 35.

An equation is a statement in form of numbers and variables that both sides are equal.

Janet bought the same bars of chocolate to share equally with her friends and it is between 36 and 50.

There are two possible cases,

Let the number of chocolates be 'N' and no. of chocolates each friend gets be 'A'.

(i)  If she shares the bars of chocolate equally with 7 friends, she will have 7 bars left over,

∴ N = 7A + 7...(i).

(ii) If she shares the bars equally with 6 friends she will have 5 bars left over,

Let the number of chocolates be 'N' and no. of chocolates each friend gets be 'B'.

∴ N = 6B + 5...(ii)

Now, we have to equate these two equations,

7A + 7 = 6B + 5.

7A = 6B - 2.

A = (6B - 2)/7.

From here we have to find such integer value of B which also makes the value of A an integer and also when we put the values of either A or B in our equations it should lie between 35 and 50.

So,

A = (6B - 2)/7.

When B = 5 then A = 4. Or when B = 12 the A = 10.

But the B = 12 and A = 10 is inadmissible.

Now, we'll put the value of A or B in eqn (i) or (ii).

Which results in N = 35.

So, the number of chocolate bars she bought is 35.

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