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myrzilka [38]
3 years ago
7

a group consisted of 2 girls for every boy. 24 girls joined the group. there are now 5 girls for every boy. how many boys are in

the group
Mathematics
2 answers:
fomenos3 years ago
8 0
<span>Situation 1:



Situation 2:



Replacing g in the second equation:



In the Situation 1 there was 16 girls and 8 boys = 24 persons
In the Situation 2 there are 40 girs + 8 boys = 48 persons</span>
mixer [17]3 years ago
7 0
The new ratio is 5:1.
5 girls to every 1 boy is, 8 boys and 40 girls.
So there is now 8 boys in the group
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2.5 times

Step-by-step explanation:

From the diagram attached below;

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SO for bottle X;

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3 0
2 years ago
3.8.10) Inclusions are defects in poured metal caused by contamitants. The number of (large) inclusions in cast iron follows a P
Afina-wow [57]

Answer:

a)  P(X>=1) = 0,7293        or   P(X>=1) =  72,93 %

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Step-by-step explanation:

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Then

P(X>=1) = 1 - 0,2706

P(X>=1) = 0,7293        or   P(X>=1) =  72,93 %

b) 3 inc. in 4 mm³ = 2*4/3     λ = 2,67 inc. per mm³

P(X>=3)  =  1 - P(X=1 ) - P(X=2)

P(X=1) = λ¹ * e∧-λ / 1!    ⇒  P(X=1) = 2,67 *e∧- 2,67/1

P(X=1) = 0,1846

P(X=2) = λ² * e∧-λ / 2!   ⇒   P(X=2) = (2,67)² * e ∧ - 2,67/2

P(X=2) = 7,1289* 0,06925/2     ⇒  P(X=2) = 0,2468

Then

P(X>=3)  =  1 -  0,1846 - 0,2468

P(X>=3) = 0,5686     or     P(X>=3) = 56,86 %

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0,02 = 1 *  e ∧ -2*y

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log (0,02) = -2*y        - 1,69897 = - 2*y

y =  0,8494 mm³

d) P(X  >=1 ) = 1 - P( X = 0)

0,98 = 1 - P( X = 0)

P( X = 0) = 0,02

0,02 = λ⁰ * e ∧ - λ / 0!

0,02 = e ∧ -λ

Taking log on both sides of the equation we get:

log ( 0,02 ) = - λ

- 1,69897  =  - λ

λ = 1,69897  inc. per mm³

 

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