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Ronch [10]
3 years ago
8

Great Rapids White Water Rafting Company rents rafts for $125 per hour. Explain why the point (0,0) and (1,125) are on the graph

of the relationship and what these points mean in the context of the problem. How much would you pay for 12 hours? How long have you rented the rafts if you spent $750?
Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

$1500

6 hours

Step-by-step explanation:

There is no one off fee, therefore we got (0,0) a starting point.

(1,125) is representing the first hour of rent, so 1 hour rent costs $125.

There is a direct relationship between the time and rental fee.

<u>As a function is will be:</u>

  • f(x) = 125x, where f(x) is the total amount and x is the time in hours

<u>For x= 12, we get:</u>

  • f(12) = 125*12= $1500

<u>So, if f(x) = 750, then:</u>

  • 750 = 125x
  • x= 750/125
  • x= 6 hours
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3 years ago
The weekly salaries of a sample of employees at the local bank are given in the table below. Employee Weekly Salary Anja $245 Ra
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The variance for the data is  17,507. 5.

Given

The weekly salaries of a sample of employees at the local bank are given in the table below.

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<h3>Variance</h3>

Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.

The mean value of the salaries of employees is;

\rm Mean= \dfrac{245+300+325+465+100}{5}\\\\Mean=287

The variance is given by;

\rm  Variance=\sqrt{\dfrac{(245-287)^2 +(300-287)^2 +(325-287)^2 +(465-287)^2 +(100-287)^2}{5-2}} \\\\Variance = 132.316}\\\\On \ Squaring \ both \ the \ sides\\\\Variance^2=17,507. 5

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brainly.com/question/7635845

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Answer:

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Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

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