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viva [34]
3 years ago
9

What is the distance between (-2,-2) and (4,4)

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0
<h2>Solving for the Distance between two Points</h2><h3>Answer:</h3>

6\sqrt{2} or 8.485

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about distances between two points: <u>brainly.com/question/24629826</u></em>

Given:

(-2,-2)

(4,4)

Solving for the Distance:

\sqrt{(-2-4)^2 +(-2 -4)^2} \\ \sqrt{(-6)^2 +(-6)^2} \\ \sqrt{36 +36} \\ \sqrt{72} \\ \sqrt{36 \cdot 2} \\ 6 \sqrt{2}

<u>Note:</u>

6 \sqrt{2} \approx 8.485

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A cable is 84 meters long, it is cut into two pieces so that one piece is 18 meters longer than the other. Find the length of ea
weeeeeb [17]

Long Piece: x + 18

Short Piece: x

(x) + (x + 18) = 84

2x + 18 = 84

2x = 66

x = 33

Long Piece: x + 18  = (33) + 18   = 51

Answer: 33 meters and 51 meters

5 0
4 years ago
How are triangles related to the interior angles sum theorem
ZanzabumX [31]

Answer:

Step-by-step explanation:

Sum of interior angles in a triangle is equal to 180 degrees

7 0
3 years ago
Twice the differencedifference of a number and 55 is equal to three times the sumsum of the number and 8.8.  
bazaltina [42]
2*(n-55)=3*(n+8.8)
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8 0
4 years ago
Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it use
evablogger [386]

Answer:

(1)  Null Hypothesis, H_0 : \mu_1 = \mu_2

    Alternate Hypothesis, H_1 : \mu_1\neq \mu_2

(2) Test statistics = -1.48

(3) At the 0.05 significance level, Fair field conclude that the population means are same.

Step-by-step explanation:

Let \mu_1 = mean annual family income for 12 people making inquiries at the first development

\mu_2 = mean annual family income for 24 people making inquiries at the second development

s_1 = standard deviation of annual family income for 12 people making inquiries at the first development

s_2 = standard deviation of annual family income for 24 people making inquiries at the second development

n_1 = sample of people of first development i.e. 12

n_2 = sample of people of second development i.e. 24

(1) Null Hypothesis, H_0 : \mu_1 = \mu_2  {population means are same}

  Alternate Hypothesis, H_1 : \mu_1\neq \mu_2  {population means are different}

<u>DECISION RULE ;</u>

  • If the test statistics is less than the critical value of t from table at 5% significance level, then we will accept null hypothesis, H_0 .
  • If the test statistics is more than the critical value of t from table at 5% significance level, then we will reject null hypothesis, H_0 .

(2) The test statistics is given by;

                      \frac{(X_1bar -X_2bar) - (\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } } ~ t_n__1+n_2-2

where,  X_1bar = Sample mean income of people at first development

                        = $153,000

X_2bar = Sample mean income of people at second development = $171,000  

s_1 = $42,000  and   s_2 = $30,000

   s_p= \sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2}  }{n_1+n_2-2}} =  \sqrt{\frac{(12-1)42000^{2}+(24-1)30000^{2}  }{12+24-2}} = 34344.30

Test statistics = \frac{(153000 -171000) - 0}{34344.30\sqrt{\frac{1}{12}+\frac{1}{24}  } } ~ t_3_4

                       = -1.48

(3) At 5% level of significance, t table gives critical value of 2.032 at 34 degree of freedom.Since our test statistics is less than the critical value of t so considering our decision rule, we will accept null hypothesis.

And conclude that population means are same.

4 0
4 years ago
Y=fx) = 8x<br> Find f(x) when x = 1/3<br> Enter the correct answer.
solniwko [45]

Answer:

f(3)=2\frac{2}{3}

Step-by-step explanation:

f(x)=8x\\f(3)=8(\frac{1}{3})\\f(3)=\frac{8}{3} \\f(3)=2\frac{2}{3}

Hope this helps!

4 0
4 years ago
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