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
lakkis [162]
3 years ago
14

You select a card at random from the cards that make up the word "replacement". Without replacing the card, you choose a second

card. Find the probability of choosing a vowel and then not a vowel. There is 1 letter for each card.
Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

Answer:

The probability is 14/55

Step-by-step explanation:

The word replacement contains 11 letters.

In which 4 letters are vowel = e,a,e,e

And 7 letters are not vowel = r,p,l,c,m,n,t

The probability of getting the vowel in the first try = 4/11

The probability of getting something that is not a vowel = 7/10.

The denominator is one less because the vowel card is not replaced, meaning there is one less card to choose from.

Multiply the values:

=4/11 * 7/10

=28/110

=14/55

The probability is 14/55....

You might be interested in
Please help i don’t understand
Anit [1.1K]
A line is 180 so you subtract 126 with 180 and get 54. Since a Triangle angles all equal 180 together you add 54 and 43 and subtract 180 and the answer is 83
4 0
3 years ago
Read 2 more answers
You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co
alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

P=2x+2y

On the other hand, since the available money to buy fence is D dollars,

\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}

Furthermore, the area of the enclosed land is given by

A=xy

Solving the second equation for x,

\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}

Substituting into the equation for the area,

\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}

To find the maximum possible area, solve A'(y)=0, as shown below

\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}

Therefore, the corresponding value of x is

\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}<h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2>\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}<h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

7 0
1 year ago
The side of a square is 11.2 cm. what is the length of the diagonal
Snowcat [4.5K]
You can work out the diagonal by using Pythagoras theorem. (a^2 = b^2 + c^2)

As it is a square, all 4 sides are the same so it would be:
11.2^2 + 11.2^2 = diagonal^2
250.88 = diagonal^2
Square root both sides to get what the diagonal is equal to.
diagonal is 15.8 cm
3 0
3 years ago
Uh yeah I need help can someone please explain to me please and thank you :)
Rzqust [24]

Answer:

53/36

Step-by-step explanation:

56/36 is already in it's simplest form

6 0
3 years ago
Read 2 more answers
5. Rebecca is 6 years older than three times Andrew's age. The sum of their ages is 18. How old is Rebecca?
anygoal [31]

Answer:

Rebecca is 18

Step-by-step explanation:

18/6-3=0

5 0
3 years ago
Other questions:
  • A circle passes through the point (0,0.5). What it’s radius
    9·1 answer
  • Janelle has a large supply of small cubes, each the same size. How could she use the cubes to measure the volume of a shoebox?
    8·1 answer
  • Is x^4+3x^3-x+7 in standard form
    11·2 answers
  • Eight hundred forty nine divided by four
    5·2 answers
  • Help me with this problem, thank you&lt;3
    6·1 answer
  • Quick TIMED does anyone know this algebra 2 question? Will give brainiest
    12·2 answers
  • 55. Find the area of half of a circle with a radius of 16 mm.
    10·2 answers
  • Which choice would most likely result in a negative association between the variables?
    13·1 answer
  • 55% of the 300 students in 6th grade have a younger brother or sister. How many 6th graders have a younger sibling?
    11·2 answers
  • Evaluate the expression 4 × (3 + 52) ÷ 2. Show your work.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!