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Deffense [45]
3 years ago
12

At a little known vacation spot taxi fares are a bargain. A 36 mile taxi ride takes 42 minutes and cost $25.20. You want to find

the cost of a 47 mile taxi ride. What unit price do you need?

Mathematics
2 answers:
arsen [322]3 years ago
8 0

Answer:

It cost $32.90 for a 47 mile taxi ride.

Step-by-step explanation:

We are given the following information in the question:

Length of taxi ride = 36 miles

Time taken by taxi ride = 42 minutes

Cost of taxi ride = $25.20

We have to find cost of a 47 mile ride.

In order to do so, we have to find the unit cost of distance covered by ride which is the unit cost per mile of the ride that is the cost for 1 mile of taxi ride.

Formula:

\text{Unit Cost} = \text{Cost for 1 mile of axi ride} = \displaystyle\frac{\text{Cost of taxi ride}}{\text{Distance covered by taxi ride}}

\text{Unit Cost} = \displaystyle\frac{25.20}{36} = \$0.7\text{ per mile}

Cost of a 47 mile ride =

\text{Unit cost}\times Distance \\0.7\times 47 = 32.9

Hence, it cost $32.90 for a 47 mile taxi ride.

katen-ka-za [31]3 years ago
7 0

it would cost $32.90

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Solve 2x2 − 4x − 5 = 0 by completing the square.
arsen [322]
For this case we have the following polynomial:
 2x ^ 2 - 4x - 5 = 0

 Rewriting we have:
 2x ^ 2 - 4x = 5

x ^ 2 - 2x = 5/2
 Then, completing squares we have:
 x ^ 2 - 2x + (-2/2) ^ 2 = 5/2 + (-2/2) ^ 2

 Rewriting:
 x ^ 2 - 2x + (-1) ^ 2 = 5/2 + (-1) ^ 2

x ^ 2 - 2x + 1 = 5/2 + 1

(x-1) ^ 2 = 7/2
 x-1 = +/- \sqrt{7/2} x = 1 +/- \sqrt{7/2}
 Then, the solutions are:
 x1 = 1 + \sqrt{7/2} x2 = 1 - \sqrt{7/2}
 Answer:
 
x1 = 1 +  \sqrt{7/2}  

x2 = 1 - \sqrt{7/2}
3 0
4 years ago
TIMED!!!
Nesterboy [21]

Answer:try B...

Step-by-step explanation:

i took the test and it wasn't C

5 0
4 years ago
Read 2 more answers
When dealing with the number of occurrences of an event over a specified interval of time or space, the appropriate probability
sdas [7]

Answer:

a)  Poisson distribution

use a  Poisson distribution model when events happen at a constant rate over time or space.

Step-by-step explanation:

<u> Poisson distribution</u>

  • Counts based on events in disjoint intervals of time or space produce a Poisson random variable.
  • A Poisson random variable has one parameter, its mean λ
  • The Poisson model uses a Poisson random variable to describe counts in data.

use a  Poisson distribution model when events happen at a constant rate over time or space.

<u>Hyper geometric probability distribution</u>:-

The Hyper geometric probability distribution is a discrete probability distribution that describes the probability of successes (random draws for which the object drawn has a specified feature) in draws without replacement, from a finite population of size that contains exactly objects with that feature where in each draw is either a success or failure.

This is more than geometric function so it is called the <u>Hyper geometric probability distribution </u>

<u></u>

<u>Binomial distribution</u>

  • The number of successes in 'n' Bernoulli trials produces a <u>Binomial distribution </u>. The parameters are size 'n' success 'p' and failure 'q'
  • The binomial model uses a binomial random variable to describe counts of success observed for a real phenomenon.

Finally use a Binomial distribution when you recognize distinct Bernoulli trials.

<u>Normal distribution</u>:-

  • <u>normal distribution is a continuous distribution in which the variate can take all values within a range.</u>
  • Examples of continuous distribution are the heights of persons ,the speed of a vehicle., and so on
  • Associate normal models with bell shaped distribution of data and the empirical rule.
  • connect <u>Normal distribution</u> to sums of like sized effects with central limit theorem
  • use histograms and normal quantile plots to judge whether the data match the assumptions of a normal model.

<u>Conclusion</u>:-

Given data use a  Poisson distribution model when events happen at a constant rate over time or space.

3 0
3 years ago
The weight of meteorite A is 5 times the weight of meteorite B. If the sum of their weights is 126 tons, find the weight of each
Sholpan [36]

Answer:

Step-by-step explanation:

if you divide 126 by 5, you get Meteorite B, 25.2, then minus that from 132, and you get Meteorite A, 106.8

To check, do 25.2 x 5 and you should get 132.

5 0
2 years ago
Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 &lt; x &lt;6.
KengaRu [80]

Answer:

1

Step-by-step explanation:

Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.

The average value of a function f(x) over an interval [a, b] is

                  f(b) - f(a)

ave. val. = ---------------

                     b - a

which in this particular case is

                     19 - 30

ave. val. = ----------------- = -11/11 = 1

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The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.

4 0
3 years ago
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