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Dmitry [639]
3 years ago
5

Eliminate the parameter

Mathematics
1 answer:
8090 [49]3 years ago
4 0

<u> </u>y = x -2, x\geq 1

<u>Step-by-step explanation:</u>

In the question given correct parameter is -  2)  y = x -2, x\geq 1

Method -

x= t^2 + 1    ........................(1)

y = t^2 - 1  ..........................(2)

Let's solve the equation 1,

⇒   x = t^2 +1

⇒   t^2 = x - 1          

  •         Put the value of  t² in equation 2

                  y =t^2 - 1 \\y = x -1 -1\\y = x - 2

      <u>Here we got the y parameter as </u>y = x -2

<u>So the option no .2 is the correct option</u> 2) <u> </u>y = x -2, x\geq 1

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a rectangular parking lot has an area of 7/10 square kilometer the width is 1/3 kilometer what is the length of the parking lot
Virty [35]

Answer:

2\frac{1}{10} km

Step-by-step explanation:

We are given;

  • The are of a rectangle as 7/10 km²
  • Width of the rectangle is 1/3 km

We are required to find the length of the rectangle;

We need to know how to find the area of a rectangle first;

Area of rectangle = Length × Width

Rearranging the formula;

Length = Area of rectangle ÷ Width

            = 7/10 km² ÷ 1/3 km

   We get;

           =\frac{7}{10} *\frac{3}{1}

           =\frac{21}{10}

           =2\frac{1}{10} km (improper fraction)

Thus, the length of the rectangular park is 2\frac{1}{10} km

5 0
3 years ago
The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost
Alja [10]

Answer:

a) In the step-by-step explanation.

b)  The null and alternative hypothesis are:

H_0: \mu=125000\\\\H_a:\mu> 125000

c) P-value = 0.015

d) The conclusion, at a level of significance of 0.05, is that there is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

e) The claim of the chamber of commerce is false. We have statistical evidence against that claim and we can conclude that the mean prices are significantly higher than $125,000.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim, expressed in the alternative hypothesis, is that area residential property is available at a mean cost significantly higher than $125,000 per lot.

Then, the null and alternative hypothesis are:

H_0: \mu=125000\\\\H_a:\mu> 125000

The significance level is 0.05.

The sample has a size n=32.

The sample mean is M=130000.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12500.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12500}{\sqrt{32}}=2209.71

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{130000-125000}{2209.71}=\dfrac{5000}{2209.71}=2.26

The degrees of freedom for this sample size are:

df=n-1=32-1=31

This test is a right-tailed test, with 31 degrees of freedom and t=2.26, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>2.26)=0.015

As the P-value (0.015) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

6 0
3 years ago
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W
Veronika [31]
To solve you first need to pick out the most important information,
~Spent 20 minutes 
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Lets have y be the total time spent, and x the number of probs
(y/2) = x
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6 0
4 years ago
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MrRa [10]

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Step-by-step explanation:

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Which is the graph of y = cos(x) + 3? On a coordinate plane, a cosine curve has a maximum of 3 and a minimum of negative 3. On a
Andrei [34K]

Answer: none of them is right, did you meant maximum 4 and minimum 2?

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If you add 3 you get values between 4 and 2.

8 0
3 years ago
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