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drek231 [11]
3 years ago
13

You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability

that a randomly chosen code starts with M and ends with E?
Mathematics
1 answer:
Feliz [49]3 years ago
4 0

Answer:

The probability that a randomly chosen code starts with M and ends with E is 0.05 ....

Step-by-step explanation:

According to the given statement we have to make five letter code from  A, F, E, R, and M without repeating any letter. We have to find that what is probability that a randomly chosen code starts with M and ends with E.

Thus the probability of picking the first letter M = 1/5

After that we require the sequence (not E, not E, not E) which is equal to:

= 3/4 * 2/3* *1/2

= 1/4

Now multiply 1/5 and 1/4

1/5 * 1/4

= 1/20

= 0.05

Therefore the probability that a randomly chosen code starts with M and ends with E is 0.05 ....

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A house is valued at $118,000.00. The homeowner decides to add on a two-car garage that increased the value of the home by 15%.H
nasty-shy [4]

Answer:

The value of the house after adding the garage is $135,700.

Step-by-step explanation:

Given,

value of house before adding garage = $118,200.00

we need to find the value of house after adding two car garage.

Solution,

Since after adding two car garage the value of the house increased by 15%.

So firstly we will find out the 15% of the value of the house after adding garage.

So we can say that;

15% of the value of the house after adding garage is equal to 15 divided by 100 the multiplied with the value of the house before adding garage.

15% of the value of the house after adding garage = \frac{15}{100}\times118,000=\$17,700

Now, The value of the house after adding garage is equal to the sum of value of house before adding garage and 15% of value of house before adding garage.

We can frame it in equation form as;

The value of the house after adding garage = \$118,000+\$17,000=\$135,700

Hence The value of the house after adding the garage is $135,700.

3 0
3 years ago
Can someone please answer me this question ASAP!!!!
natulia [17]

3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance

4 0
3 years ago
PLS HELP :(
faust18 [17]

Answer: 47.1

Step-by-step explanation:

1/3πr^2h

=1/3×π×32×5

=15π

= 47.123889803847 feet3

4 0
2 years ago
Read 2 more answers
Maria rents a bicycle while on vacation. It costs a flat fee of $19.95 plus $5.50 an hour. Maria rents it for 4 hours. What is t
kolezko [41]

Answer:

36.45

Step-by-step explanation:

5.50 × 3 = 16.5

16.5 + 19.95 = 36.45

sorry if wrong.

hope it helps.

7 0
2 years ago
42. Which matrix represents the image of the triangle with vertices at (-2,0), (1,5), and (4,-8) when dilated by a scale factor
jasenka [17]

The second matrix \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right] represents the triangle dilated by a scale factor of 3.

Step-by-step explanation:

Step 1:

To calculate the scale factor for any dilation, we divide the coordinates after dilation by the same coordinated before dilation.

The coordinates of a vertice are represented in the column of the matrix. Since there are three vertices, there are 2 rows with 3 columns. The order of the matrices is 2 × 3.

Step 2:

If we form a matrix with the vertices (-2,0), (1,5), and (4,-8), we get

\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right]

The scale factor is 3, so if we multiply the above matrix with 3 throughout, we will get the matrix that represents the vertices of the triangle after dilation.

Step 3:

The matrix that represents the triangle after dilation is given by

3\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right] = \left[\begin{array}{ccc}3(-2)&3(1)&3(4)\\3(0)&3(5)&3(-8)\end{array}\right] = \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]

This is the second option.

4 0
3 years ago
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