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maxonik [38]
3 years ago
11

Use the Pythagorean theorem to find the distance between the two points ANB round your answer to the nearest hundredth

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

5.39 units

Step-by-step explanation:

Pythagorean theorem: a^{2} + b^{2} = c^{2}

Let point (-2,1) be C

Line segment AC would be 2 units long.

Line segment BC would be 5 units long.

Insert the length of the line segments in to the Pythagorean theorem

2^{2} + 5^{2}

4 + 25 = 29

\sqrt{29} ≅ 5.385

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(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]
lesya692 [45]

Answer:

80

Step-by-step explanation:

Let's write out the equation:

8(20+80/2)/[(54/9+14)/4]

For the first part we get 8(100/2)

Then 50x8

Then 400

For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS

Then 20/4

Then 5

So our final answer is 400/5 which is 80.

Hope this helps!

7 0
3 years ago
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th
deff fn [24]

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

    The population mean is  \mu = \$ 108.5

The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

       z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }

=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

       P( Z >  1.75) = 0.040059

Generally  p-value is mathematically represented as

        p-value = 2 * P( Z >  1.75)

=>     p-value = 2 * 0.040059

=>     p-value = 0.08012

From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

3 0
3 years ago
Ratio 5:9 in fraction
irina [24]
There are many ways you can write a ratio. They're all basically the same thing, though. 5:9, 5 to 9, and 5/9 (which is a fraction) are all just different ways to write ratios.
3 0
3 years ago
Find the distance between the pair of point A(3,1)B(2,5) need help
WINSTONCH [101]

Answer:

Step-by-step explanation:

7 0
3 years ago
A boutique marks up a $55 painting 18%. Find the new price.
Ede4ka [16]

Answer:

$9.9

Step-by-step explanation:

3 0
3 years ago
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