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krek1111 [17]
3 years ago
7

A rectangle with a lenght of 6cm has the same area as a square with side length 18cm. what is the perimeter, in cm , of the tria

ngle
pls help
thank you, have a nice day!
Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

First, we know the area of a square is side length side length = Area. For this square, the area would be:

18*18=A

324 = A

Now that we know the area that is being referened, we can look at the formula for the area of a rectangle, which is width * length = Area. We know the length and we know the area, so we can fill in these known values and solve for the unknown width.

w*l = A

w*6=324

w=324/6

w=54

So our rectangle has the width of 54 and the length of 6. Lastly, the formula for perimeter is 2w + 2l = P. We can again fill in our knowns and solve for the unknown.

2(54) + 2(6) = P

108 + 12 = P

120 = P

The perimeter of the rectangle is 120 cm.

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The lifetime of a certain transistor in a certain application has mean 900 hours and standard deviation 30 hours. Find the mean
tamaranim1 [39]

Answer:

E(T)=E(X1 + X2 + X3 + X4 =E(x1) + E(x2) + E(x3) + E(x4)

E(T) =900+900+900+900 =3600

And the mean would be:

\bar X = \frac{T}{4} = \frac{3600}{4}= 900

And the standard deviation of total time would be:

SD(T)=\sqrt(Var(T)) = sqrt(Var(X1) + Var(x2) + Var(x3) + Var(x4))

\sigma=sqrt(30^2+30^2+30^2+30^2) =\sqrt(3600) =60

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let total life time of t four transistors T = X1 + X2 + X3 + X4 (where X1,X2,X3 and X4 are life time of individual transistors

For this case the mean length of time that four transistors will last

E(T)=E(X1 + X2 + X3 + X4 =E(x1) + E(x2) + E(x3) + E(x4)

E(T) =900+900+900+900 =3600

And the mean would be:

\bar X = \frac{T}{4} = \frac{3600}{4}= 900

And the standard deviation of total time would be:

SD(T)=\sqrt(Var(T)) = sqrt(Var(X1) + Var(x2) + Var(x3) + Var(x4))

\sigma=sqrt(30^2+30^2+30^2+30^2) =\sqrt(3600) =60

6 0
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You receive 15% of the profit from a car wash how much money do you receive from a profit of 300
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Answer: 45


Step-by-step explanation:


300 * 0.15 = 45



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Answer:

27.4 feet down deep

Step-by-step explanation:

28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up

leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea

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Answer:

\Huge \boxed{m=3}

Step-by-step explanation:

-2m+36=2(6m-3)

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