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
Aleksandr [31]
2 years ago
10

A junk box in your room contains fourteen old​ batteries, seven of which are totally dead. You start picking batteries one at a

time and testing them. Find the probability of each outcome. ​a) The first two you choose are both good. ​b) At least one of the first three works. ​c) The first four you pick all work. ​d) You have to pick five batteries to find one that works.
Mathematics
1 answer:
MrMuchimi2 years ago
5 0

Answer:

A junk box in your room contains fourteen old​ batteries, seven of which are totally dead.

So, number of good batteries = 14-7=7

a) The first two you choose are both good. ​

There is a 7/14 chance that we will pick a good battery.

Now there are 13 batteries left and out of that there are only 6 good ones remaining, so this becomes 6/13.

So, combined probability is = \frac{7}{14}\times \frac{6}{13}

= 0.23

b) At least one of the first three works.

\frac{7}{14} \times \frac{6}{13} \times \frac{5}{12} =0.096

And at least one is good battery, we get : 1-0.096=0.904

​c) The first four you pick all work.

There is a probability of 7/14 for the first one to work, 6/13 for the second, 5/12 for the third and 4/11 when the fourth is good, combined we get by multiplying all:

\frac{7}{14}\times \frac{6}{13}\times \frac{5}{12}\times \frac{4}{11}=0.0344

d) You have to pick five batteries to find one that works.

This condition means that we pick 4 bad batteries and 1 good battery.

The probability of picking 4 bad batteries is -

\frac{7}{14}\times \frac{6}{13}\times \frac{5}{12}\times \frac{4}{11}=0.0344

Since there are 7 good batteries remaining in 10 batteries so we will multiply 7/10 in 0.0344 to know the fifth one that finally works.  

This becomes = 0.0344\times0.7=0.024

You might be interested in
ASAP can someone help me solve this problem​
sveta [45]

Answer:

Step-by-step explanation:

x° + y° = 180°

2y° - 0.5x° = 180°

y° = 108°

x° = 72°

3 0
3 years ago
Slope intercepts <br> No links, Will mark BRAINLIEST
Sergeeva-Olga [200]

Answer:

<em><u>Lines are perpendicular to each other .</u></em>

Step-by-step explanation:

Standard equation  of line is : y = mx + c, Where m represents the slope

Given Equations :

y = -5x + 1\\\\Slope , m_1 = -5

y = \frac{1}{5}x +1\\\\Slope, m_2 = \frac{1}{5}

Two lines are parallel if the slope of the lines are same.

Two line are perpendicular if the product of the slope = - 1

Clearly slopes are not equal , therefore the lines are not parallel.

           product of the slope is - 1, therefore the lines are perpendicular.  

                                m_1 \times m_2 = -5 \times \frac{1}{5} = - 1

8 0
2 years ago
If there are 12 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Oksana_A [137]

Answer:

6:30

1:5

4:20

3:15

2:10

Step-by-step explanation:

im pretty sure these are correct

7 0
3 years ago
Solve: (19 + 1^5) / 1/2 +5
IRINA_888 [86]

Answer:

15

Step-by-step explanation:

Hoped it helped

3 0
3 years ago
a fair sold a total of 3,300 tickets on Friday and Saturday. It sold 100 more on Friday than on Saturday. How many tickets did t
xz_007 [3.2K]
3200 is the answer thank you
6 0
3 years ago
Other questions:
  • Jessica purchased some suede shoes during the Leather Emporium's Semi-Annual Clearance Sale. If Jessica paid $45.00 for the shoe
    15·1 answer
  • The length of a rectangle is 3 ft more than twice the width, and the area of the rectangle is 35 ft2 . find the dimensions of th
    6·1 answer
  • Help please im loss
    13·1 answer
  • What is the slope of the line passing through the points (3, 3) and (5, 7) ?
    10·2 answers
  • i'd really appreciate it if you guys would stop giving me answers with no explanation. because when i get answers like that, the
    14·1 answer
  • What’s y if 2+1/6y=3x+4
    12·1 answer
  • Carli has 42 tacos to put in 7 boxes. Each box has the same number of tacos. How many tacos are in each box?
    8·1 answer
  • What is the answer of this question? ​
    11·1 answer
  • Also (area O O O O O O​
    9·2 answers
  • Can someone please help me I will give brainliest ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!