square root of 32-square root of 72

Answer:

a) Probability of ending up wearing 2 blue socks is 1/11.

b) Probability of ending up wearing no grey socks is 7/22.

c) Probability of ending up wearing at least 1 black sock is 5/11.

d) Probability of ending up wearing a green sock is 0.

e) Probability of ending up wearing matching socks is 19/66.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

In your sock drawer, you have 4 blue socks, 5 gray socks, and 3 black ones. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability you end up wearing: a) 2 blue socks. b) no gray socks. c) at least 1 black sock. d) a green sock. e) matching socks.

The explanation of the answer is now given as follows:

The following are given in the question:

n(B) = number of Blue socks = 4

n(G) = number of Gray socks = 5

n(K) = number of black socks = 3

Therefore, we have:

n(T) = Total number of socks = n(B) + n(G) + n(K) = 4 + 5 + 3 = 12

To calculate a probability, the following formula for calculating probability is used:

Probability = Number of favorable outcomes / Number of total possible outcomes ……. (1)

Since this is a without replacement probability, we can now proceed as follows:

a) 2 blue socks

P(B) = Probability of ending up wearing 2 blue socks = ?

Probability of first pick = n(B) / n(T) = 4 / 12 = 1 / 3

Since it is without replacement, we have:

Probability of second pick = (n(B) – 1) / (n(T) – 1) = (4 – 1) / (12 – 1) = 3 / 11

P(B) = Probability of first pick * Probability of second pick = (1 / 3) * (3 / 11) = 1 / 11

b) no gray socks.

Number of favorable outcomes = n(B) + n(K) = 4 + 3 = 7

P(No G) = Probability of ending up wearing no gray socks = ?

Probability of first pick = Number of favorable outcomes / n(T) = 7 / 12

Since it is without replacement, we have:

Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (7 – 1) / (12 – 1) = 6 / 11

P(No G) = Probability of first pick * Probability of second pick = (7 / 12) * (6 / 11) = 7 / 22

c) at least 1 black sock.

Probability of at least one black sock = 1 - P(No K)

Number of favorable outcomes = n(B) + n(G) = 4 + 5 = 9

Probability of first pick = Number of favorable outcomes / n(T) = 9 / 12 = 3 /4

Since it is without replacement, we have:

Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (9 – 1) / (12 – 1) = 8 / 11

P(No K) = Probability of first pick * Probability of second pick = (3 / 4) * (8 / 11) = 24 / 44 = 6 / 11

Probability of at least one black sock = 1 - (6 / 11) = 5 / 11

d) a green sock.

n(Green) = number of Green socks = 0

Since, n(Green) = 0, it therefore implies that the probability of ending up wearing a green sock is 0.

e) matching socks.

This can be calculated using the following 4 steps:

Step 1: Calculation of the probability of matching blue socks

P(matching blue socks) = P(B) = 1 / 11

Step 2: Calculation of the probability of matching gray socks

P(matching green socks) = Probability of matching gray socks = ?

Probability of first pick = n(G) / n(T) = 5 / 12

Since it is without replacement, we have:

Probability of second pick = (n(G) – 1) / (n(T) – 1) = (5 – 1) / (12 – 1) = 4 / 11

P(matching gray socks = Probability of first pick * Probability of second pick = (5 / 12) * (4 / 11) = 20 / 132 = 5 / 33

Step 3: Calculation of the probability of matching black socks

P(matching black socks) = Probability of matching green socks = ?

Probability of first pick = n(K) / n(T) = 3 / 12 = 1 / 4

Since it is without replacement, we have:

Probability of second pick = (n(K) – 1) / (n(T) – 1) = (3 – 1) / (12 – 1) = 2 / 11

P(matching black socks) = Probability of first pick * Probability of second pick = (1 / 4) * (2 / 11) = 2 / 44 = 1 / 22

Step 4: Calculation of the probability of ending up wearing matching socks

P(matching socks) = Probability of ending up wearing matching socks = ?

P(matching socks) = P(matching blue socks) + P(matching grey socks) + P(matching black socks) = 1/11 + 5/33 + 1/22 = (6 + 10 + 3) / 66 = 19/66

Answer:

20 gallons of 15% solution must be mixed with 5 gallons of 40% solution.

Step-by-step explanation:

40% of 5 gallons is 2 gallons of sugar

x represents the number of gallons of solution to be added.

15% of x is sugar.

The total amount of sugar must be equal to 20% of the final mixture.

The end mixture will be x + 5 gallons

Change percent to decimal for the equation:

.2(x +5) = .15x +2

.2x +1 = .15x +2

.2x - .15x = 2 -1

.05x = 1

x = 20

Check:

.2(20 +5) = .15(20) +2

.2(25) = 3 + 2

5 = 5 true

This means that adding 20 gallons of the 15% solution is adding 3 gallons of sugar [along with 17 gallons of water] to the 2 gallons of sugar in the original mixture.

20% of the 25 gallons, 5 gallons, of the final mixture is sugar. 80% [ 3+17 = 20 gallons] is water.

Answer:

C) 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The transformations include:

This is a dilation by a scale factor of 3 and then translation 2 units left and 2 units up.

The transformation applied to the point U:

Answer:

Step-by-step explanation:

Given the data :

ABC = 5.9%

CBS = 7.6%

FOX = 5.5%

NBC = 6.0%

Warner Brothers = 2%

UPN = 2.2%

Other Cable network = 70.8%

From. The piechart distribution, it could be seen that majority of prime time audience watched on other cable network such as CNN and ESPN which Is more than 2 times the percentage that watched on channels such as Fox, ABC, CBS, NBC, Warner Brothers, and UPN which polled about 30% of viewers.

Answer:

14 hours

Step-by-step explanation:

Old plan :

Initial fee =. $29

Hourly fee = $2.50

New plan :

Initial fee = $19

Hourly fee = 3.25

Let number of hours = x

When new plan will be more expensive than old plan :

19 + 3.25x > 29 + 2.50x

3.25x - 2.50x > 29 - 19

0.75x > 10

x > 10 / 0.75

x > 13.3333

After 14 hours

Answer:

x =44

Step-by-step explanation:

180 - 86 - 50 = 44

Answer : 30x=22y <= (less than or equal to) 130

Step-by-step explanation:

Answer:

total -70

Step-by-step explanation:

x =18

y=-28

Z = -60

An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)

The Total value is =  -70

x = 18

y = -28

Z = -60

An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)

1st an 2nd element difference is = 14 - 6 = 8

2nd and 3rd element difference is = - 6 - 2 = -8

3rd and 4th element difference is = - 2 + 10 = 8

4th and 5th element difference is = -10 + 18 = 8

The difference (x,y and z) is 8 and also it's negative because the series is lowering the previous value.

Now, Proof of x,y and z = - 8

14 - 8 = 6

6 - 8 = - 2

- 2 - 8 = - 10

- 10 - 8 = - 18

- 18 - 8 = - 26

-26 - 8 = -34

Therefore, The value is = total -70

x = 18

y = -28

Z = -60

Find more information about Arithmetic Series here:

https://brainly.com/question/24295771

Answer:

it is 3 ... 75 percent sure

Answer:

y - 7 = 5/4(x - 3)

Hope that helps

Answer:

welcome

Step-by-step explanation:

Answer:

10.625

Step-by-step explanation:

Answer:

10 minutes and 37.5 seconds

Step-by-step explanation:

0.85 is 51 seconds. I will be using this because it is easier for me.

Multiply 51 • 12 = 612 seconds for 12 laps. Divide 612 ÷ 60 = 10.2. You get 10.2 minutes. This is 10 minutes and 12 seconds for 12 laps.

Divide 51 by 2 to find how long it takes for 1/2 a lap. You will get 25.5 seconds for half a lap.

Add them together: 10 min 12 sec + 25.5 sec = 10 minutes and 37.5 seconds

Answer: c

Step-by-step explanation: start at -4 then add 7 to that then .5

B . (3,2)

Step-by-step explanation:

I'm unsure of how to explain it but it is B :) have a good day !

Answer:

30/90 or 1/3

Step-by-step explanation:

This is because we know that 6+4=10. So we know the odds of drawing a white marble first is 6/10. And if we draw one without replacing it. This makes the second time 5/9 for white and 4/9 for black. We can then multiply 6/10 by 5/9 and get 30/90 which is equal to 1/3.

Hope this helps!

Answer:

1/3

Step-by-step explanation:

P=6/10 ×5/9=30/90=1/3

Answer:

y-8x=-2

Step-by-step explanation:

so the slope of the perpendicular line has to the negative receprical of the slope of this line which gives

-(-8)=8

let us put all the equations into slope intercept form

a.y=-8x+6

b.y=-1/8x-5

c.y=1/8x-5

d. y=8x-2

y=mx+b

as you can see the only line with a slope of 8 is y-8x=-2

Answer:

That is an entire worksheet.  Also just download PhotoMath on your phone and it will give you the answers.

Step-by-step explanation: I'll get you started

1) 1

2) 2

3) 4

4)

5) 20

6) 1

7) 2

8) 20

Answer:

1. 1/2

2. 2/3

3. 4/7

4. 10/25

5. 20/40

6. 1/10

7. 2/6

8. 20/90

9. 27/36

10. 1/6

11. ?

12. 2/5

13. 2/3

14. 11/12

15. 17/25

16. 2/8

17. 6/7

18. 42/70

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

Simplify both sides of the equation as much as possible:

9r + 5 - 4 = 4r + 5r - 12

9r + 1 = 9r - 12

Both sides have "9r" which when cancel out, leave the equation as:

+1 = -12

This means there are no solutions.

Answer:

4.1 ft

Step-by-step explanation:

All we need to do is substitute "t" as 2 minutes to determine the height:

h = 10.6 + 6.5 sin(850*2),

Remove full rotations of 360 until the angle is between 0 and 360° :

h = 10.6 + 6.5 sin(1700) = 10.6 + 6.5 sin(260)

Now evaluate sin(260) :

h = 10.6 - 6.40125... = 4.1987496

Your solution should be 4.1 ft (though it actually should be 4.2 ft)

Answer:

Andre  y=5x+100

Elena y=20x+10

the rate Elena is 20

the rate  Andre is 5

Step-by-step explanation:

Answer:

t - b >= e

Step-by-step explanation:

There are few actual necessities that a person actually needs in order to survive, everything else is actually a want and not a necessity. Such necessities include food, water, and rent. These can be represented as

Budget = b

We can use them in the following equality. While e would be representing the entertainment and t represents the total money he has.

t - b >= e

You can now plug in the actual values for t and b to find out how much you would have left for entertainment.

Answer:

2000

Step-by-step explanation:

2hwhjfwftwrd ggg gggggg gggggggggg ggggg

Answer:

April

Step-by-step explanation:

If you add 12 months it will be November once more. Then add 5 months which is April.

Given:

The radical expression is

[tex]\pm \sqrt{-22}[/tex]

To find:

The simplified form of the given expression by using the imaginary unit i.

Solution:

We have,

[tex]\pm \sqrt{-22}[/tex]

It can be written as

[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex]       [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]

[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex]      [tex][\because \sqrt{-1}=i][/tex]

Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].

Answer:

3 is the answer

Step-by-step explanation:

#carryonlearning

Answer:

$720

Step-by-step explanation:

Given :

Mean, m = 600

Standard deviation, s = 120

Z = (x - m) / s

P(Z > x) = 84%

P(Z > x) = 0.84

Zscore corresponding to P(Z > x) = 0.84 will be -0.994

Hence,

-0.994 = (x - 600) / 120

120 * -0.994 = x - 600

119.28 = x - 600

119.28 + 600 = x

719.28 = x

Hence,

X = $720