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labwork [276]
3 years ago
6

The perimeter of a rectangular tray is 28 inches. The length of the tray is 2 inches longer the width of the tray. Determine the

dimensions of the rectangular tray.
Mathematics
1 answer:
sergeinik [125]3 years ago
4 0

Step-by-step explanation:

perimeter=28

length=2x

width=x

28=2(x+2x)

28=2x+4x

28=6x

28/6=6x/6

4.67=x

width=4.67

length=2×4.67

=9.34

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A class of 10 students hang up their coats when they arrive at school. Just before recess, the teacher hands one coat selected a
Fittoniya [83]

Answer:

0.1274

Step-by-step explanation:

Let X be the random variable that measures the number of children who get their own coat.

Then, the expected value of X is

E[X] = 1P(X=1) + 2P(X=2)+3P(X=3)+...+10P(X=10)

The probability that a child gets her or his coat is

P(X=1) = 1/10

To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is

P(X=2) = 8!/10! = 1/(10*9)  and

2P(X=2) = 2/(10*9)

Similarly, we can see that the probability that 3 children get their own coat is

P(X=3) = 7!/10! = 1/(10*9*8) and  

3P(X=3) = 3/(10*9*8*7)

and the expected value of X would be

E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274

6 0
3 years ago
10. Which of the following is true about the graph of the given inequality?
frez [133]

Answer:

C I think

Step-by-step explanation:

4 0
3 years ago
one vertex of a polygon is located at (3,-2). After a rotation, the vertex is located at (2,3). which transformations could have
Musya8 [376]

Answer:

Rotation on +90°/-270°

6 0
3 years ago
Read 2 more answers
Write an equivalent<br> expression<br> - 4(5 + 7g)
gregori [183]
Answer:
-4(5 + 7g) = -28g -20
4 0
3 years ago
O is the midpoint of segment FG. FO=3x+17, OG=7x-15. <br><br><br> 98 points
AlladinOne [14]

O is the midpoint so both sides FO and OG need to equal each other.

3x + 17 = 7x - 15

Subtract 3x from both sides:

17 = 4x -15

Add 15 to both sides:

32 = 4x

Divide both sides by 4:

x = 32/4

X = 8

Now you have the value of X, solve for the lengths:

FO = 3x +17 = 3(8) +17 = 24 +17 = 41

OG = 7x -15 = 7(8) -15 = 56-15 = 41

Total length would be 41 + 41 = 82

5 0
3 years ago
Read 2 more answers
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