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joja [24]
3 years ago
10

Michelle’s group made a scale drawing of a cabin for a school project. The sleeping area is four times as many square feet as th

e fireplace. The kitchen is 21 square feet larger than the sleeping area. How much area do the fireplace and the kitchen each have? Explain
Mathematics
1 answer:
Naddik [55]3 years ago
7 0

Answer:

To calculate actual area based on a scale drawing, take each of the original dimensions and multiply them by the scale factor to get the actual dimensions. Then, use your knowledge of geometric figures to calculate the enlarged or reduced area

Step-by-step explanation:

Hope it helps!!

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64 as a mixed number
Kaylis [27]
I'm perdy sure it's 64/1 but yk it could be something else XD :D good luck!

6 0
3 years ago
A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the pr
worty [1.4K]

Answer:  The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

Step-by-step explanation:  Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.

Let S be the sample space for the experiment of pulling a marble.

Then, n(S) = 12 + 8 + 5 = 25.

Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.

The, n(E) = 12, n(F) = 8  and  n(G) = 5.

Therefore, the probabilities of each of these three events E, F and G will be

P(E)=\dfrac{n(E)}{n(S)}=\dfrac{12}{25}=\dfrac{12}{25}\times100\%=48\%,\\\\\\P(F)=\dfrac{n(F)}{n(S)}=\dfrac{8}{25}=\dfrac{8}{25}\times100\%=32\%,\\\\\\P(G)=\dfrac{n(G)}{n(S)}=\dfrac{5}{25}=\dfrac{5}{25}\times100\%=20\%.

Now, the probability of pulling three green marbles out with replacement is given by

P(G)\times P(G)\times P(G)=\dfrac{5}{25}\times\dfrac{5}{25}\times \dfrac{5}{25}=\dfrac{1}{125}=\dfrac{1}{125}\times100\%=0.8\%.

Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

4 0
3 years ago
Kate wants to spend less than $100 per day to rent a car. A car rents for $45 per day plus $0.25 per mile. Write, solve, and gra
Bezzdna [24]
Money to be spent per day <$100
To rent a car:
Minimum amount per day= $45
Amount per mile= $0.25

Hence amount spent depends on distance travelled.
If distance travelled= x; fee for travel= 0.25x

Hence finally we need the fare to be less than $100
And fare is $45+0.25x

So the final inequality is 0.25x+45<100.

Hope it helps.
8 0
3 years ago
ABCD is a quadrilateral. <br> AB=CD<br> Angle ABC = angle BCD<br> Prove that AC = BD
maks197457 [2]
  • Answer:

compare the triangles ΔABC and ΔBCD

∡ABC = ∡BCD (given)

AB = CD (given)

BC = BC (common)  } = > (SAS) ΔABC ≡ ΔBCD = > AC = BD

5 0
3 years ago
and are independent Gaussian (Normal) random Variables. has mean 13.9 and variance 5.2; has mean 6.9 and variance 3.8. . (a) Cal
omeli [17]

This question is incomplete, the complete question is;

X and Y are independent Gaussian (Normal) random Variables. X has mean 13.9 and variance 5.2; Y has mean 6.9 and variance 3.8. . (a) Calculate P( W> 10)

Answer:

P( W> 10) is 0.1587

Step-by-step explanation:

Given that;

X ⇒ N( 13.9, 5.2 )

Y ⇒ N( 6.9, 3.8 )

W = X - Y

Therefore

E(W) = E(X) - E(Y)

= 13.9 - 6.9 = 7

Var(W) = Var(X) + Var(Y) -2COV(X.Y)

[ COV(X,Y) = 0 because they are independent]

Var(W) = 5.2 + 3.8 + 0

= 9

Therefore

W ⇒ N( 7, 9 )

so

P( W > 10 )

= 1 - P( W ≤ 10 )

= 1 - P( W-7 /3   ≤   10-7 /3 )

= 1 - P( Z ≤ 1 )           [ Z = W-7 / 3 ⇒ N(0, 1)  ]

from Standard normal distribution table, P( Z ≤ 1 )  = 0.8413

so

1 - P( Z ≤ 1 )  = 1 - 0.8413 = 0.1587

Therefore P( W> 10) is 0.1587

8 0
3 years ago
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