A drawer has 9 pairs of white socks 7 pairs of black socks 6 pairs of brown socks and 3 pairs of blue socks you get dressed each morning in the dark in randomly reach into the sock drawer to get your socks after a day of wearing the socks you do not replace them until the weekend after you have done some laundry what is the probability that your sock selection goes in the following order for this week?
P(Black then white then white the brown then blue)=____

Answers

Answer 1

Answer:

0.0014 = 0.14%

Step-by-step explanation:

First we need to find the total number of pairs:

9 + 7 + 6 + 3 = 25 pairs

Then, we need to find the probability for each case:

First socks black: 7 pairs over 25: P1 = 7/25

Second socks white: 9 pairs over 24: P1 = 9/24 = 3/8

Third socks white: 8 pairs over 23: P1 = 8/23

Fourth socks brown: 6 pairs over 22: P1 = 6/22 = 3/11

Fifth socks blue: 3 pairs over 21: P1 = 3/21 = 1/7

The final probability will the the product of all probabilities above:

P = (7/25) * (3/8) * (8/23) * (3/11) * (1/7) = 0.0014 = 0.14%

Answer 2

Answer:

567/398475 in fraction or 0.0014229249 in decimal

Step-by-step explanation:

In the question, we are given these values

Total pair of socks = 25 pairs of socks

9 pairs of white socks

7 pairs of black socks

6 pairs of brown socks

3 pairs of blue socks

From the question, we can see that, this is probability without replacement.

Hence,

P(Black then white then white the brown then blue)=

7/25 × 9/24× 8/23 ×6/22 × 3/21

= 9072/6375600

= 567/398475

Therefore, the Probability of picking a Black socks then white socks then white socks , then brown socks and then blue socks = 567/398475 in fraction or 0.0014229249 in decimal


Related Questions

Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.

Answers

Answer:

The cone holds 9.8 cubic inches ice cream

Step-by-step explanation:

Height of cone = 6 inches

The circular opening at the top is 2.5 inches across

Diameter of cone = 2.5 inches

Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]

Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]

Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]

Volume of cone = [tex]9.8125 in^3[/tex]

Hence the cone holds 9.8 cubic inches ice cream.

The radius of a circle is 12.1 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Answers

Answer:

76.03

Step-by-step explanation:

Answer:

the circumference is 76.027 but it rounded to the nearest tenth is 76.030

Step-by-step explanation:


Adding and subtracting radicals

Answers

the correct answer would be 0 i believe

Look at the figure below. Which of the following statements could be a step in a proof that vertical
angles are congruent?
APC = DPB because angles formed by the
same pair of intersecting lines are congruent to each
other.
ZAPC ZDPB because angles complementary
to the same angle are congruent to each other.
ZAPC ZDPB because angles adjacent to the
same angle are congruent to each other.
ZAPC ZDPB because angles supplementary to
the same angle are congruent to each other.

Answers

Answer:

ZAPC ZDPB because angles adjacent to the

same angle are congruent to each other.

Step-by-step explanation:

5x+4y= 10
–5x+y = 15

Answers

Answer:

what exactly are we trying to solve for

Which of the following shows the correct solution steps and solution to

3x-2= -11

Answers

Answer:

the third one is correct

Step-by-step explanation:

The third one is correct

What is the value of tan(60°)?
А
O
300
N
V3
B
60°
3
2
6
C

Answers

Answer:

The exact value of tan(60°) is √(3).

Step-by-step explanation:

The value of the trigonometric relation tan ( 60 )° = √3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = tan ( 60 )°

And , from the trigonometric identities , we get

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

So , the measure of tan ( 60 )° = √3

Hence , the trigonometric relation is solved

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A 2-year loan of $500 is made with 4% simple interest. Find the interest earned. Please state the answer with a dollar sign followed by a whole number. Example: $32

Answers

Answer:

$10

Step-by-step explanation:

4%  of 500 is 5 dollars  and two years is 10

$40 I think


I Used the equation I=Prt

Which of the following sets of points are vertices of a right triangle?
1) A(-1, -3), B(4, -3), C(2, -1)
2) A(-2, 2), B(1, -4), C(4, 2)
3) A(-1, 1), B(3, 5), C(4, -4)
4) A(-1, 3), B(-4, -3), C(-4, 1)

Answers

I scanned for a pair of x coordinates that match and a pair of y coordinates that match.  That would be a right triangle whose sides are parallel to the axes.    It's possible our right triangle is more complicated, but let's start here.

Nope, it doesn't look like our right triangle is oriented to the axes.  Let's do the Pythagorean Theorem.

1) A(-1, -3), B(4, -3), C(2, -1)

AB² = (4 - -1)² + (-3 - -3)² = 25

AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13

BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8

25 ≠ 13 + 8, not a right triangle

2) A(-2, 2), B(1, -4), C(4, 2)

AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45

AC²= (4 - -2)² + (2 - 2)² = 36

BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45

not a right triangle, but isosceles

3) A(-1, 1), B(3, 5), C(4, -4)

AB² = 4² + 4² = 32

AC²= 5² + 5² = 50

BC²= 1² + 9² = 82

BC² = AC² + AB²,  THIS IS A RIGHT TRIANGLE

4) A(-1, 3), B(-4, -3), C(-4, 1)

AB² = 3² + 6² = 45

AC²= 3² + 2² = 13

BC²= 0² + 4² = 16

not a right triangle

Answer: 3) A(-1, 1), B(3, 5), C(4, -4)

Ming took a cab across town. His fare was $22, and he leaves an 18%tip.
What is the total amount Ming pays the cab driver?

Answers

He payed a total of 25.96 because the tip was 3.96

Answer:

$25.96

Step-by-step explanation:

take 18% of 22, which is 3.96. Add it to 22 and that's the amount Ming payed!

Find the value of x and the value of y.

Answers

Answer:

B.

Step-by-step explanation:

If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.

Then, you can just make an equation:

2x + 2x - y + y + 60 + 40 = 360

4x = 260

x = 65°

Now you can use same side interior angles to make another equation:

2x - y + 60 = 180

130 + 60 - y = 180

y = 10

I WILL GIVE BRAINLIST!! Two joggers run 9 miles north then 3 miles west.What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?

Answers

i’m not sure but i think it’s 9.5

Answer:

9.5 is your answer

Step-by-step explanation:

9^2 + 3^2 =

81 + 9 =

[tex]\sqrt{90}[/tex] = 9.5

Graph: y = 12 - 41 + 2

Answers

Step-by-step explanation:

y=-27

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

2/5 of it is 22.\

I need help PLS

Answers

Answer

55

Step-by-step explanation:

2

5

(22)

=(

2

5

)(

22

1

)

=

(2)(22)

(5)(1)

=

44

5

(Decimal: 8.8)

which will give 55

PLease mark brainllest!!!!!!!

Answer:

2 divided by 5 = 0.4

22/0.4=220/4=55

55 is the number. Hope this helps.

Step-by-step explanation:

What is the converse of the following statement ?

If two triangles are congruent, then their corresponding angles are congruent.

Answers

Answer: C

Step-by-step explanation: Converse means the reversed statement

3. If two triangles are not congruent, then their corresponding angles are not congruent. the converse of the following statement is option C.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given statement:

"If two triangles are congruent, then their corresponding angles are congruent."

1. If the corresponding angles of two triangles are congruent, then the triangles are congruent.

This is not the converse of the following statement.

2. If two triangles are congruent, then their corresponding angles are congruent.

This is not the converse of the following statement.

3. If two triangles are not congruent, then their corresponding angles are not congruent.

This is the converse of the following statement.

4. If the corresponding angles of two triangles are not congruent, then the triangles are not congruent This is not the converse of the following statement.

Thus, the converse of the following statement is option C.

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Pls help me on this question !

Answers

Kywettgffjfhdhdjddju

what is the answer to:

16^3/2​

Answers

In my view the answer is 2,048

I am not sure about this answer..so if it is mistake then sorry

Answer:

[tex]16^\frac{3}{2} = 64[/tex]

Step-by-step explanation:

[tex]16^\frac{3}{2}[/tex]

Factor the number: [tex]16 = 4^2[/tex]

[tex]= (4^2)^{\frac{3}{2} }[/tex]

Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]

[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]

[tex]= 4^3[/tex]

Refine:

[tex]=64[/tex]

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

What is the ratio of the volume of Cylinder A to the volume of Cylinder B? if cylinder a has the height of 4 and radius of 3 and cylinder b has the the height of 3 and radius of 4

Answers

Answer:

3/4

Step-by-step explanation:

Cylinder A

V = πr^2h

V = π(3)^2(4)

V = 36π

Cylinder B

V = π(4)^2(3)

V = 48π

36π/48π

3/4

how many twentieths equal three-fifths

Answers

Answer:

12

Step-by-step explanation:

It takes twelve 1/20 tiles to exactly cover three 1/5 tiles, so 35=12/20.

The number of twentieths required to make three fifths is required.

Twelve twentieths equal to three-fifths

The question can be rephrased as "How many times do you have to add [tex]\dfrac{1}{20}[/tex] to get [tex]\dfrac{3}{5}[/tex]"

The end result should be [tex]\dfrac{3}{5}[/tex]

Let the number of times be [tex]x[/tex]

[tex]x\times \dfrac{1}{20}=\dfrac{3}{5}\\\Rightarrow x=\dfrac{3}{5}\times 20\\\Rightarrow x=12[/tex]

So, twelve twentieths equal to three-fifths.

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I really need help and I would greatly appreciate it

Answers

Answer:

a.  15.78

3/19 × 100% = 15.78

    b. 7

12-5 = 7

To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

  c. 8

because 8 divides the age group making half the people younger than this age and half are older

2 . a - highest point is 8.7

     c . georgina did better then half of the other gymnists which can be seen because the highest point is 8.7 where there are many who 7.7

mark brainliest pls

need help quick plz​

Answers

I’m gonna say it’s A?

Expand and simplify (x + 5) ( x + 6)

Answers

Answer:

x^2 + 11x + 30

Step-by-step explanation:

Jared makes $133 per hour, but he loses 20% of his pay for a day if his boss catches him on the internet. If Jared works for 8 hours a day for 5 days, and his boss only catches him on the internet once how much money will he make in the five days?

Answers

Answer:

$5107.20

Step-by-step explanation:

His pay after he was caught once

133x 8=1064

1064x 20% = 212.8

1064-212.8=851.2

1064x 4= 4256

4256+ 851.2=5107.2

HELP PLEASE

The volume of this cone is 376.8 cubic feet. What is the radius of this cone? Height is 10ft
Use ​ ≈ 3.14 and round your answer to the nearest hundredth

Answers

Answer:

6.08 ft

Step-by-step explanation:

Volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h

Radius = [tex]\sqrt{ \frac{V}{\frac{1}{3}\pi h } }[/tex]

[tex]R = \sqrt{\frac{376.8}{\frac{1}{3} \pi 10} }[/tex]

[tex]R = \sqrt{\frac{376.8}{10.47} }[/tex]

[tex]R = \sqrt{36.98}[/tex]

[tex]R = 6.08[/tex]

What is the exponential form of log4 16 = 2?

Answers

Explenation:

Logarithm

log

b

x

is the exponent of a power with base

b

which gives the number under

log

sign (

x

).

In this example we can say that:

log

4

16

=

2

because:

4

2

=

16

Step-by-step explanation:

8,11,14,14,13,15,9 Mean median mode Range​

Answers

Answer:

Mean:12

Median:13

Mode:14

Range:7

Step-by-step explanation:

The Mean is the average.

8+11+14+14+13+1+9/7=12

The Median is the Middle number when in order from least to greatest.

8,9,11,13,14,14,15

The Mode is the number that appears the most.

14 Appears Twice

The Range is the largest number minus the smallest

15-8=7

Please help! Choose all that apply.

Answers

Answer:

I believe that the answers are B & C

Step-by-step explanation:

Hope this helps! Please pick me as brainliest!

help asap will mark brainliest

Answers

Answer:

Step-by-step explanation:

x = 105

the angle vertically opposite to x is 105 as it is corresponding to 105

and corresponding angles are equal

since vertically opposite angles are equal too, then x = 105 too

Answer:

Step-by-step explanation:

x = 105 {alternate exterior angles are equal}

When two parallel lines are intersected by the transversal, alternate exterior angles are equal

The figure below shows the quotient of Fraction 3 over 4 divided by Fraction 3 over 8 .

Rectangle divided into eight equal parts, where the first three-part is shaded dark representing three-eighths, the next three parts are shaded light to complete the three-fourths, and the last two parts are not shaded

The quotient is ____.

Answers

3/4 divided by 3/8 is 2
The correct answer is 2

Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.

Answers

Answer:

r=3 ft

Step-by-step explanation:

it is similarity of two triangles

one

perpendicular side=10 ft

base=10/2=5 ft

second

perpendicular side=10-4=6 ft

Base r=?

[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]

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