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Alecsey [184]
3 years ago
15

In a certain year, the population of Smallburg was 4,000. In the following year, the population increased by 15%. What was the r

esulting population?
Mathematics
1 answer:
kupik [55]3 years ago
8 0

Answer:4600

Step-by-step explanation:

15% of 4000

15/100 x 4000

(15x4000) ➗ 100

60000 ➗ 100=600

4000+15% of 4000

4000+600=4600

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The first two steps in determining the solution set of the system of equations, y = -x2 + 4x + 12 and y=-3x + 24, algebraically
madreJ [45]

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(3, 15) and (4, 12)

Step-by-step explanation:

x2 - 7x+12 = 0 factors to (x - 4)(x - 3) = 0, and so x:  {3, 4}.

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3 years ago
Six hundred paving stones were examined for cracks, and 20 were found to be cracked. The same 600 stones were then examined for
spin [16.1K]

Answer:

a) probability that is cracked=1/30 (3.33%)

b) probability that is discoloured = 29/600 (4.83%)

c) probability that is cracked and discoloured =  11/600 (1.83%)

Step-by-step explanation:

assuming that each stone is equally likely to be chosen then defining the events C= the stone is cracked , D= the stone is discoloured , N= the stone is neither cracked or discoloured, then

P(C)= number of favourable outcomes/total number of outcomes = 20 stones/600 stones = 1/30 (3.33%)

P(D)= number of favourable outcomes/total number of outcomes = 29 stones/600 stones = 29/600 (4.83%)

the probability that is discoloured and cracked is P(C∩D) , where

P(C∪D)=P(C) + P(D)-P(C∩D)

and

P(C∪D)= 1- P(N)

thus

1- P(N)=P(C) + P(D)-P(C∩D)

P(C∩D)= P(N)+P(C)+P(D) -1

replacing values

P(C∩D)= P(N)+P(C)+P(D)=562/600 + 20/600 + 29/600 -1= 611/600 -1 = 11/600

thus

P(C∩D)=  11/600 (1.83%)

3 0
3 years ago
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