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1 year ago

The population of Champaign, Illinois is given for three years in the table below:

Mathematics

1 answer:

Crazy boy [7]1 year ago

4 0

Answer:

See below

Step-by-step explanation:

a) Using the first two lines to get the equation:

Since t = 0 represents a start point, the y-intercept is 163488

Slope is:

(168392 - 163488)/10 = 490.4

And the equation:

P(t) = 490.4(t - 1970) + 163488

b) Prediction of the population in 2012 using the function:

P(2012) = 490.4(2012 - 1970) + 163488 = 184084.8

As we see the number we got is less than the one on the line 3 of the table. So the model underestimated the actual population.

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In studying the insurance preferences of homeowners the following conclusions are made: A homeowner is three times as likely to

Ede4ka [16]

Answer:

0.632

Step-by-step explanation:

Given that a homeowner is three times as likely to purchase additional jewelry coverage as additional electronics coverage

If probability of purchasing additional electronics coverage = p, then prob of purchasing jewelry coverage = 3p

The two events are independent hence joint probability is product of these two.

i.e. P(both) = $p(3p) =3p^2$

This is given as 0.2

$3p^2 =0.2\\p = 0.258$

the probability that a homeowner purchases exactly one coverage.

$=P(AUB)-P(A \bigcap B)$

= Prob he purchases I + prob he purchases II-2(prob he purchases both)

$= 0.258+3(0.258)-2(0.2)\\=0.632$

5 0

2 years ago

Anyone know the answer??

olga_2 [115]

No. no i do not so yeah.

5 0

1 year ago

A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor ch

slavikrds [6]

Answer: $50x+250=75x+100$

Step-by-step explanation:

Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo.

Let x be the number of hours , then the total cost to create the logo plus is given by :-

$C(x)=250+50x$

A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.

The total cost to develop logo plus is given by :-

$c(x)=100+75x$

The equation to represent the costs would be the same is given by :_

$C(x)=c(x)\\\Rightarrow50x+250=75x+100$

4 0

2 years ago

Read 2 more answers

The parent function f(x) = x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions

Alekssandra [29.7K]

Graph B represents the function g(x)=x^3-2 Graph C represents the function h(x)=2x^3

4 0

2 years ago

Read 2 more answers

Sarah and thomas are going bowling. the probability that sarah scores more than 175 is 0.4, and the probability that thomas scor

pychu [463]

When the occurrence of one event say A does not affect the occurrence of another event say B, than the two events are said to be independent such that;

$\\ 
P(A\cap B)=P(A)\times P(B)$

where, P(A) = probability of occurrence of event A

and P(B) = probability of occurrence of event B

(a).

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

and P(B)= Probability that Thomas scores more than 175 = 0.2

Since, the scores are independent, thus the probability that both Sarah and Thomas scores more than 175 is,

$\\ 
P(A\cap B)=P(A)\times P(B)\\ 
P(A\cap B)= 0.4\times 0.2= 0.08\\$

Hence, the required probability is 0.08

(b).

When the occurrence of one event say A affects the occurrence of another event say B, than the two events are said to be dependent such that;

$\\ 
P(A\cap B)=P(A)\times P(B\setminus A)\\$

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

P(B)= Probability that Thomas scores more than 175 = 0.2

and P(B|A) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.3

Thus, the required probability is calculated as follows;

$\\ 
P(A\cap B)=P(A)\times P(B\setminus A)\\ 
P(A\cap B)=0.2\times 0.3=0.06$

7 0

1 year ago