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vagabundo [1.1K]
3 years ago
13

What is the distance rounded to the nearest tenth between the points (2 -2) and (6 3)

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

The distance between the points is approximately 6.4

Step-by-step explanation:

The given coordinates of the points are;

(2, -2), and (6, 3)

The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

Substituting the known 'x', and 'y', values for the coordinates of the points, we have;

l_{(2, \, -2), \ (6, \, 3) } = \sqrt{\left (3-(-2)  \right )^{2}+\left (6-2  \right )^{2}} = \sqrt{5^2 + 4^2} = \sqrt{41}

Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.

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A cause-and-effect relationship occurs when:

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2 years ago
Marla has 1\2 of a pound of candy. She equally distributes the candy into 4 bags. How much candy will go in each bag?
almond37 [142]

Answer:

1/8 or 8

Step-by-step explanation:

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3 years ago
Order of operations make it true 7 11 4 2=10
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Answer:

Step-by-step explanation:

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3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Papessa [141]

<u>Answer:</u>

  • The value of c is 2√2 or about 2.8.

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

<u>We can find the hypotenuse (c) with the help of Pythagoras Theorem.</u>

  • => c² = 2² + 2²
  • => c² = 4 + 4
  • => c² = 8
  • => c = √8
  • => c = √2 x 2 x 2
  • => c = 2√2

<u>If you want further simplification, seek for explanation below.</u>

  • => c = 2√2
  • => c = 2 x √2
  • => c = 2 x 1.414
  • => c = 2.828 = 2.8 (Estimated)

Hence, <u>the value of c is 2√2 or about 2.8.</u>

Hoped this helped.

BrainiacUser1357

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2 years ago
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Answer:

t=\frac{26.8-29.9}{\frac{2.7}{\sqrt{9}}}=-3.44    

df=n-1=9-1=8  

p_v =P(t_{(8)}  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.

Step-by-step explanation:

Data given

\bar X=26.8 represent the sample mean

s=2.7 represent the sample standard deviation

n=9 sample size  

\mu_o =29.9 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, the system of hypothesis would be:  

Null hypothesis:\mu \geq 29.9  

Alternative hypothesis:\mu < 29.9  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{26.8-29.9}{\frac{2.7}{\sqrt{9}}}=-3.44    

P-value

The degrees of freedom are given by:  

df=n-1=9-1=8  

Since is a one sided test the p value would be:  

p_v =P(t_{(8)}  

Conclusion  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.

6 0
4 years ago
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