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
Tanzania [10]
3 years ago
13

Three letters are chosen at random from the word POSTER. What is the probability that the selection will contain E or O but not

both? E or O or both?
Mathematics
1 answer:
prohojiy [21]3 years ago
8 0

Answer:

Total number of way to  pick 3 letters is 6C3 = 20.

Step-by-step explanation:

P(E) = 3/6 = 1/2

P(O) = 3/6 = 1/2

The intersection is P(E n O) = P(E)P(O | E)

= 1/2(2/5)

= 1/5

P( E or O but not both) = P(E and not O) + P(O and not E)

(THis step is easier to understand if you shade in a venn diagram for this):

= [ P(E) - P(E n O) ] + [ P(O) - P(O n E) ]

= 1/2 - 1/5 + 1/2 - 1/5

= 1 - 2/5

= 3/5

The P (E or O or both ) is just the union of the two:

P( E U O) = P(E) + P(O) - P(E n O)

= 1/2 + 1/2 - 1/5

= 4/5

You might be interested in
Please answer this fast thank uuu :)
Serga [27]

Answer:

x + 37 = 90

Step-by-step explanation:

Since complementary angles add up to 90 degrees, we would need to add 37 and x to equal 90 degrees. Therefore, x + 37 equals 90 degrees. As for solving, subtract 37 from both sides and you are left with x = 53.

5 0
3 years ago
Please help me idk what it's even asking for​
AveGali [126]

Answer:

It is asking you what you would put as your statement for step 4.

Step-by-step explanation:

The answer by the way would be what you have clicked on - angle 1 + angle 4 = 180 degrees.

4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!
sergey [27]

Answer:

slope is equal to rise (going up or down on graph) over run (going left or right)

Step-by-step explanation:

1 = - \frac{5}{4}

2=   \frac{4}{2} =   2

3.    \frac{7}{3}

4.   -\frac{4}{7}

5.    \frac{3}{6} =   \frac{1}{2}

6.   -\frac{2}{8} = - \frac{1}{4}

8 0
3 years ago
Ajay's car used 314 gallons of gas on a trip to the beach. Assume 1 gallon = 3.8 liters. What is the best estimate of the number
Marina86 [1]

Answer

Find out the what is the best estimate of the number of liters Ajay's car used .

To prove

As given

Ajay's car used 314 gallons of gas on a trip to the beach.

Assume 1 gallon = 3.8 liters

Than

The number of liters Ajay's car used = 314 × 3.8

                                                             = 1193.2 litres

Therefore 1193.2 litres Ajay's car used .

8 0
3 years ago
The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20
stira [4]

Answer:

a) Option A)

H_{0}: \mu \geq 1503\\H_A: \mu < 1503

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, \bar{x} = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}

b) Point estimate  of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78

Thus,

Point estimate of difference = -78

5 0
3 years ago
Other questions:
  • PLEASE HELP ME
    13·1 answer
  • Please help! Number 9) picture is included! Determine the base of the rectangle. (10 points) please help as soon as possible! :)
    11·1 answer
  • A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solv
    12·2 answers
  • Find the first six terms of the sequence.
    6·1 answer
  • If there are 2.6 million death per year how many deaths per minute
    6·2 answers
  • 5x-4=-6x+4 then x=? please help!
    15·2 answers
  • Please help!!
    13·1 answer
  • Precalculus PLEASE HELP ME right answers only check all please
    13·1 answer
  • Jeremy collected data from an experiment he performed in science class. He compiled his data in this table.
    12·1 answer
  • Which relation is a function?<br> Question 3 options:
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!