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Komok [63]
2 years ago
13

molly is 4 years younger than Heidi. In 3 years, Heidi will be twice as old as Molly. How old are they now

Mathematics
1 answer:
ASHA 777 [7]2 years ago
8 0

Answer:

Molly would be 1 years old.

Step-by-step explanation:

"In three years..."

(m+3) will be Molly's age then.

(h+3) will be Heidi's age then.

(h+3) = 2(m+3) :: given.

.

Subsitute what we know about m, which is it equal h-4.

.

(h+3) = 2(m+3)

(h+3) = 2m + 6

substitute m=h-4

(h+3) = 2(h-4) +6

h +3 = 2(h -4) +6

h +3 = 2h -8 +6

h +3 = 2h -2

h = 2h -8 +3

-h = -5

h = 5

Heidi is 5 years old now.

.

m = h-4

m = 5-4

m = 1

Molly is 1 years old now.

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Step-by-step explanation:

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\left|\begin{array}{c|ccc}x&16&18&20\\p(x)&0.3&0.1&0.6\end{array}\right|

<em>Point a:</em>

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E(X) = $\sum_{x\in D} x\cdot p(x)

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E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6

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V(X) = $\sum_{D}E[(X-\mu)^2]=E(X^2)-[E(X)]^2

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60\cdot E(X)-650=60\cdot 18.6-650=466

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