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
ohaa [14]
3 years ago
9

From 6 cards bearing the letters a, b, c, d, e, and f, two cards are drawn. Find the probability that at least one of the cards

drawn bears a vowel. Note: (a, b) and (b, a) are considered to be different elements in the sample space.
A) 2/15
B) 3/5
C) 5/9
Mathematics
2 answers:
alexgriva [62]3 years ago
7 0
We use the complement rule of probability.
P(at least one vowel) = 1 - P(no vowel)
To solve for P(no vowel) = (4/6)(3/5) = 2/5; since there are 4 consonants out of 6 letters and we take the letters without replacement.

P(at least one vowel) = 1 - 2/5 = 3/5.
The answer is B.
Tomtit [17]3 years ago
7 0
The answer is B just tried it and it is correct. Hope this helps.

You might be interested in
The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.
Mama L [17]

Answer:

a) P(Y > 76) = 0.0122

b) i) P(both of them will be more than 76 inches tall) = 0.00015

   ii) P(Y > 76) = 0.0007

Step-by-step explanation:

Given - The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.

To find - (a) If a man is chosen at random from the population, find

                    the probability that he will be more than 76 inches tall.

              (b) If two men are chosen at random from the population, find

                    the probability that

                    (i) both of them will be more than 76 inches tall;

                    (ii) their mean height will be more than 76 inches.

Proof -

a)

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{S.D}) > \frac{( 76- mean)}{S.D})

                 = P(Z >  \frac{( 76- mean)}{S.D})

                 = P(Z > \frac{76 - 69.7}{2.8})

                 = P(Z > 2.25)

                 = 1 - P(Z  ≤ 2.25)

                 = 0.0122

⇒P(Y > 76) = 0.0122

b)

(i)

P(both of them will be more than 76 inches tall) = (0.0122)²

                                                                           = 0.00015

⇒P(both of them will be more than 76 inches tall) = 0.00015

(ii)

Given that,

Mean = 69.7,

\frac{S.D}{\sqrt{N} } = 1.979899,

Now,

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{\frac{S.D}{\sqrt{N} } })) > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- 69.7)}{1.979899 }))

                 = P(Z > 3.182)

                 = 1 - P(Z ≤ 3.182)

                 = 0.0007

⇒P(Y > 76) = 0.0007

6 0
3 years ago
If there are 16oz in a pound how many oz are in 10 pounds
liq [111]
160oz. This is because, knowing that there are 16oz in one pound, you can multiply 16 by how many pounds you have to get the oz measurement. In this problem, we multiplied 16 by 10, getting 160oz.
4 0
3 years ago
Read 2 more answers
((4-x)/5)+((x+2)/3)=6 Please Help Soon
Vlada [557]

Answer:  x = 34

Step-by-step explanation:

⁴ ⁻ˣ/₅ + ˣ + 2/₃ = 6

Now resolve into fraction and convert to a linear equation

4 - x /₅ + x + 2/₃ = 6

3( 4 -x ) + 5( x + 2 )/15 = 6

3( 4 - x ) + 5( x + 2 )    = 6 x 15

12 - 3x + 5x + 10         = 90

        2x + 22              = 90

                             2x  = 90 - 22

                             2x  = 68

                                x = 34

4 0
3 years ago
There are 11 students in your class. In how many ways a group of 4 students will be
Jlenok [28]

Answer:

Step-by-step explanation:

If you are always included to lead, that leaves 10 students to choose from.

If all that is important is being selected, then there are 10C3 = 120 ways to choose them.

If each selection has a unique duty, then there are 10P3 = 720 ways to assign them their jobs.

3 0
2 years ago
Read 2 more answers
Find the area of the shaded region
OlgaM077 [116]

Answer:

6.7

Step-by-step explanation:

1^2+1^2= root 2

4^2+7^2 = root 65

1/2*root 2 *(root 65/2) = 2.85*2=5.700877+1

                                    =6.7

4 0
2 years ago
Read 2 more answers
Other questions:
  • A cake has a circumference of 25 1/7 inches. What is the area of the cake? Use 22/7 to approximate pi
    15·1 answer
  • Urpi wants to buy towels online. There are two stores with the kind of towel she wants. The first store charges $20 per towel, a
    14·2 answers
  • Lily Quinn makes $12.50 an hour. She works 4 hours on Monday, 6 hours on Tuesday, 9 hours on Wednesday, 3 hours on Thursday, and
    14·1 answer
  • What is 23.70 divided by 8.1 laid out
    13·1 answer
  • A furniture store had a chair that cost $33. After a few months the owner took 12 percent off the price. How much is the chair n
    13·2 answers
  • Rectangle ABCD is congruent to rectangle. Which sequence of transformations could have been used to transform rectangle ABCD to
    5·1 answer
  • A field is 910 yards by 300 yards. What is the greatest number of rectangle lots of 120 yards by 65 yards that can be places on
    12·1 answer
  • Nancy wants to buy some granola, which she eats for breakfast almost every day. Which is likely the most cost-effective option?
    14·2 answers
  • Solve 2x+1=-x+7<br> please helpppp ill cash app who helps me ($10)
    8·1 answer
  • The total cost of lunch is $3.50, consisting of a juice, a sandwich, and a pear. The juice cost 1.5 times as much as the pear. T
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!