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
hodyreva [135]
3 years ago
11

Jack was getting dressed in the dark and needed to get his socks. There were 18 pairs of socks in the drawer: 8 black pairs, 5 b

rown pairs, 3 blue pairs, and 2 white pairs. If he randomly picks 1 pair of socks from the drawer, what is the probability that he will pick a pair of blue socks?
Mathematics
2 answers:
Scilla [17]3 years ago
3 0
We know that there are total 18 socks, and 3 blue pair
P(picking pairs of blue sock)=
3/18 or 1/6
As a result, the probability that he will pick a pair of blue socks is 1/6. Hope it help!
Wittaler [7]3 years ago
3 0
The probability of picking a blue pair would be 3/18 because there are 18 total pairs of socks and he doesn't put the socks back
You might be interested in
If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24
VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let r be the radius and \theta be the angle of a circle.

According with the graph, the area of the sector is given by

A=\frac{1}{2}r^2\theta

The arc lenght of a circle with radius r and angle \theta is r \theta

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

2r+r\theta=24 \:in

We need to express the area as a function of one variable, to do this we use the above equation and we solve for \theta

2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}

Next, we substitute this equation into the area equation

A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2

The domain of the area is

0

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r

12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6

To check if r=6 is a maximum we use the Second Derivative test

if f'(c)=0 and f''(c), then f(x) has a local maximum at x = c.

The second derivative is

\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2

Because A''(r)=-2 the largest slice is when r = 6 in.

The diameter of the pizza is given by

D=2r=2\cdot 6=12 \:in

A 12 in diameter will reward you with the largest slice of pizza.

3 0
3 years ago
Simplify 6!/3! <br><br> help on my worksheet please
umka2103 [35]
6/3 is equal to the number 2
6 0
3 years ago
Read 2 more answers
What are the sums of the numbers opposite on a cube ?
Katena32 [7]

Answer:

6,8,

Step-by-step explanation:

5 0
3 years ago
Total consumption of fruit juice in a particular country in 2006 was about 1.85 billion gallons. The population of that country
Eduardwww [97]

Given :

Population of country in 2006 , P = 300 million.

Consumption of fruit juice in 2006 by while population, C = 1.85 billion.

To Find :

The average number of gallons of fruit juice consumed per person in the country in​ 2006.

Solution :

We know, 1 billion = 1000 million.

C = 1.85 billion = 1850 million.

Now, average umber of gallons of fruit juice consumed per person in the country in​ 2006 is :

c =\dfrac{C}{P}\\\\c=\dfrac{1850}{300}\ gallons/person\\\\c=6.17 \ gallons/person

Hence, this is the required solution.

4 0
2 years ago
8/5 of 3/7 is.......
EastWind [94]

Answer:

8/5×3/7=  

8 × 3

5 × 7

=  24/35

Step-by-step explanation:

24/35

7 0
2 years ago
Other questions:
  • What type of number is π/2
    11·1 answer
  • (9CQ) Find the distance from the balloon to the soccer fields.
    6·1 answer
  • Solve prt for t if i=105 p=700 r=0.05
    7·1 answer
  • Can someone plz help me
    9·1 answer
  • You and your family left the house for a vacation at 8 A.M. You promptly fell asleep in the
    7·2 answers
  • $10.50 for 3 pounds round to the nearest hundredth can u solve the other pens too .
    9·1 answer
  • Tiger as a unit of weight 1 tiger = 400 pounds
    11·1 answer
  • Please help me in this
    8·1 answer
  • A 300 ft long wire is used to fence a rectangular plot whose length is twice its width. Find the area
    9·2 answers
  • Which of the following cosine functions has a period of 3π?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!