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lina2011 [118]
3 years ago
10

William is taking the 25-question, multiple choice American Mathematics Competition. Each question has five answer choices. Will

iam guesses random answers for the last four questions. What is the probability that he will get at least one of these final four questions right?
Mathematics
1 answer:
o-na [289]3 years ago
7 0
Given that <span>William guesses random answers for the last four questions and that e</span><span>ach question has five answer choices.</span><span>

The probability that he gets an answer correct </span>is 1 / 5.

The probability that he did not get an answer correct is 4 / 5.

The probability that he will not get any of the 4 questions correctly is

\left( \frac{4}{5} \right)^4= \frac{256}{625}

Therefore, the probability that he gets at least one of the 4 questions correctly is

1-\frac{256}{625}= \frac{369}{625} =0.59=59\%
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You have decided to wallpaper your rectangular bedroom. the dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inch
Papessa [141]
The wall area is the product of the room perimeter and the room height:
   A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²

The window and door area together is
   A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²

The area of one roll of wallpaper is
   A₃ = (2.5 ft)*(30 ft) = 75 ft²

Then the number of rolls of wallpaper required will be
   1.1*(A₁ - A₂)/A₃ ≈ 4.74

5 rolls of wallpaper should be purchased.

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As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).
8 0
3 years ago
PLEASE HELP FAST!!!!!!!!!!
Rom4ik [11]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Points M and N on the coordinate grid below show the positions of two midfield players of a soccer team:Which statement best des
pogonyaev

N is M reflected across the y-axis; only the signs of the x-coordinates of M and N are different.

<u>Step-by-step explanation:</u>

In question no statements are available , below statements are the required one:

  1. N is M reflected across the x-axis; only the signs of the x-coordinates of M and N are different: N is reflected over y-axis not x-axis so, this option itself is wrong!
  2. N is M reflected across the x-axis; only the signs of the y-coordinates of M and N are different: N-M is reflected over y-axis not x-axis , so this option is also wrong.
  3. N is M reflected across the y-axis; only the signs of the x-coordinates of M and N are different: N-M are reflected over y-axis correct and sign of only x co-ordinate is changed as Co-ordinates are M(-2,-2.5) and N(2,-2.5) .Hence, this statement is correct!
  4. N is M reflected across the y-axis; only the signs of the y-coordinates of M and N are different. N-M is reflected over y-axis  , and sign of only x co-ordinate is changed not y . False statement.

We can see that point Correct statement is 3.

5 0
3 years ago
F(x) = -4x2 + 4x – 4<br> Find f(3)
ValentinkaMS [17]

F(3) occurs when x =3. So lets plug 3 into our equation.

f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28

F(3) = -28

I hope this helps! :)

5 0
3 years ago
Find NF I am having trouble​
Alexeev081 [22]

Answer:

can you show the picture

Step-by-step explanation:

4 0
3 years ago
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