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Elodia [21]
3 years ago
10

Find the distance between E(-3,4) and B(-1,6)​

Mathematics
1 answer:
Marrrta [24]3 years ago
4 0

Answer:

The answer is

<h2>2 \sqrt{2 }  \:  \: or \:  \: 2.828 \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(-3,4) and B(-1,6)

The distance between them is

<h3>|EB|  =  \sqrt{ ({ - 3 + 1})^{2} +  ({4 - 6})^{2}  }  \\  =  \sqrt{ ({ - 2})^{2}  +  ({ - 2})^{2} }  \\  =  \sqrt{4 + 4}  \ \   \\  = \sqrt{8}</h3>

We have the final answer as

<h3>2 \sqrt{2 }  \:  \: or \:  \: 2.828 \:  \:  \: units</h3>

Hope this helps you

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Two coins are flipped. You win $3 if either two heads or two tails turn up; you lose $4 if a head and a rail turn up. What is th
Lyrx [107]

Answer:

Step-by-step explanation:

It's too bad about this problem. It's a fair game if you get paid the same amount that you have to pay if you lose.

You win 2 ways

  • H - H
  • T - T
  • Probability 1/2

You lose 2 ways.

  • H - T
  • T - H
  • Probability 1/2

Expectation

E = 1/2 * 3 - 1/2 * 4

E = 1.5 - 2

E = -0.5

Which means that you should expect to lose 0.5 dollars every time you play this dreadful game.

4 0
3 years ago
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suter [353]
The answer should be B, in other words 41
8 0
3 years ago
Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex
Kryger [21]

Answer:

x^3-8

Step-by-step explanation:

apply the inverse properties of logarithmic and exponential functions to simplify  

- 8 + e^{lnx^3}

Inverse property of log says that

e^{ln(x)=x

we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled

e^{ln(x^3)=x^3

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6 0
3 years ago
Read 2 more answers
According to the US Bureau of labor statistics, 7% of US female workers between 16 and 24 years old are paid at the minimum wage
vladimir1956 [14]

Answer:

The Null Hypothesis is  H_o:k_o = 0.07

The alternative hypothesis is  H_a :k_o \ne 0.07

Decision rule

    If the test staistics is  greater than the critical value of significance level then H_o is accepted else H_o  is rejected

With the above in mind

       The critical value of the significance level which is obtained from the table is

     t_{0.05} = 1.645

Now since the critical value of significance level is greater than the test  staistics then the null hypothesis will be rejected

Conclusion

The information is not enough to back the claim that state differs from the nation

Step-by-step explanation:

From the question we are told that

The percentage of US female workers paid at the minimum wage or less is  k_o = 7% = 0.07

  The sample size is  n =  500

    The number paid minimum wage or less is  x = 42

    The significance level is \alpha  =5%  = 0.05

Now the probability of getting a US female workers paid at the minimum wage or less is mathematically represented as

         \= k = \frac{x}{n}

substituting value

        \= k = \frac{42}{500}

        \= k = 0.084

The Null Hypothesis is  H_o:k_o = 0.07

The alternative hypothesis is  H_a :k_o \ne 0.07

Generally the test statistics is mathematically evaluated as

        z =  \frac{\=  k  - k_o}{\sqrt{\frac{k_o(1-k_o)}{n} } }

substituting value

      z =  \frac{0.084  - 0.07}{\sqrt{\frac{0.07 (1-0.07)}{500} } }

     z =  1.23

Now the Decision rule is stated as  

        If the test staistics is  greater than the critical value of significance level then H_o is accepted else H_o  is rejected

With the above in mind

       The critical value of the significance level which is obtained from the table is

     t_{0.05} = 1.645

Now since the critical value of significance level is greater than the test  staistics then the null hypothesis will be rejected

   So the conclusion will be

   The information is not enough to back the claim that state differs from the nation

 

4 0
3 years ago
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