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Verdich [7]
2 years ago
14

One year, the population of a city was 352,000. Several years later it was 337,920.

Mathematics
1 answer:
kvasek [131]2 years ago
8 0

hi

here is  the  method :

you take  Value 1  and Value 2

And you do :   ( Value 2 - Value 1)  / (Value 1 )    * 100

Here we have :    Value 1 = 352 000

                            Value 2 =  337 920

So now we apply :

( 337 920 - 352 000 )  /  ( 352 000)   * 100 =  -4  

Population decreased by by  4 %

You can also make :  

352 000 * X = 337 920

                 X =  337 920 / 352 000

                 X = 0.96

if  the multiplier is  0.96 ,  it's mean that we lost  1 -0.96 = 0.04  

which mean  - 4%

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Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

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This means that p = 0.04

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

P(X \geq 1) = 1 - P(X = 0)

When n = 30

We have that:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

7 0
3 years ago
A sculptor is selling her work at an exhibit and hopes to earn at least $31,000 in revenue. Small pieces go for $780 and large p
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The answer should be

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Answer:

The area of the given rectangle is 51

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First we have to find the coordinates of the vertices of the rectangle.

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The distance d between points (x₁ , y₁) and (x₂ , y₂) is given by

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Finally calculate the area of rectangle using the formula,

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From the given graph, we get the coordinates of the rectangle as

A(2,4) , B(-2,3) , C(1,-9) , D(5,-8)

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