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Zinaida [17]
3 years ago
15

3.5.PS-26

Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Using a linear function, it is found that the algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week is:

  • y(m) = 0.6m + 340

<h3>What is a linear function?</h3>
  • A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • He pays an amount per mile, plus a flat weekly fee.
  • Researching the problem on the internet, it is found that the weekly fee for the small truck is of $340, hence b = 340.
  • For each mile, he pays $0.6, hence the slope is of a = 0.6.

Then, the expression is:

y(m) = 0.6m + 340

To learn more about linear function, you can take a look at brainly.com/question/25823744

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Step-by-step explanation:

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The students at Lexi's school voted for a new school mascot. 219 students voted to be The Falcons. The other 146 students in Lex
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In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 g
KIM [24]

Answer:

3.52 \times 10^{-9} = 3.52 \times 10^{-7}\% probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

All girls from the first group:

20 students, so N = 20

10 girls, so k = 10

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163

All girls from the second group:

20 students, so N = 20

5 girls, so k = 5

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006

All girls from the third group:

20 students, so N = 20

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5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}

3.52 \times 10^{-9} = 3.52 \times 10^{-7}\% probability that all the 15 students selected are girls

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Cube = all sides same length, which equals A*A*A = 27 Which is the same as A^3 = 27 Therefore,the cube root is +/-3, but as it is length, must be positive, so is +3

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