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Elenna [48]
3 years ago
10

​ ​ ​ ​​how many solutions does ​−5y=−15x+40 and ​y=3x−8 ​​have?

Mathematics
2 answers:
ra1l [238]3 years ago
7 0
There are only fifithteen solution
Salsk061 [2.6K]3 years ago
5 0
Zero Solutions because -5y=-15x+40 is the same as y=3x-8 which is also the same as the second equation
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A large but sparsely populated county has two small hospitals, one at the south end of the county and one at the north end. The
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Step-by-step explanation:

Probability distribution of this type is a vicariate distribution because it specifies two random variable X and Y. We represent the probability X takes x and Y takes y by

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f(x,y) = fX(x) .fY(y) and this gives the table (see attachment)

(b) the required probability is given by considering X=0,1 and Y =0,1

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= [0.1 +0.2 ] × [0.1 + 0.3]

= 0.3 × 0.4

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Now we find

fX(x) = sum{[f(x.y)]} for y =0, 1 and similarly for fY(y)= sum{[f(x,y)]} for x=0, 1

fX(x) = sum{[f(x,y)]}= 0.1+0.3

= 0.4

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(c) the required event is give by: [P(X<=1, PY<=1)]

= P(X<=1) . P(Y<=1)

= [sum{[f(x.y]} over Y=0,1] × [sum{[f(x.y)]}, over X= 0, 1

= 0.4 × 0.3

= 0.12

(d) the required event is given by the idea that: either The South has no bed and the North has or the the North has no bed and the South has. Let this event be A

A =sum[(P(X = 1<= x<= 4, Y =0)] + sum[P(X =0 Y= 1 <= x <= 3)]

A = [0.02 + 0.03 + 0.02 + 0.02] + [0.03 + 0.04 + 0.02]

A = [0.09] + [ 0.09]

A = 0.18

Pls note the sum of the vertical column X=2 is 0.3

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