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juin [17]
3 years ago
7

Find the distance between each pair of points. Round your answer to the nearest tenth. (-6, -5) and (2, 0)

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

The answer is

<h2>9.4 units</h2>

Step-by-step explanation:

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

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

where

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

From the question the points are

(-6, -5) and (2, 0)

The distance between them is

d =  \sqrt{ ({ - 6 - 2})^{2} +  ({ - 5 - 0})^{2}  }  \\  =  \sqrt{ ({ - 8})^{2}  + ( { - 5})^{2} }  \\  =  \sqrt{64 + 25}  \\  =  \sqrt{89}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 9.4339811

We have the final answer as

<h3>9.4 units to the nearest tenth</h3>

Hope this helps you

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n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contrac
JulsSmile [24]

Answer:

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

Step-by-step explanation:

We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out  if there is an incorrect MPG rating from the manufacturer

Test Hypothesis :

Null hypothesis                             H₀            μ    =    μ₀

Alternative Hypothesis                Hₐ             μ    ≠    μ₀

Significance Level   α  = 0,05    α/2  =  0,025

z(c) for α/2   from z-table      z(c)  = - 1, 96   and by symmetry  z(c) = 1,96

Calculating  z(s)

z(s) =  ( μ  -  μ₀ ) / σ /√n

z(s) = ( 37,8 - 37,4 ) / 2,3 /√280

z(s) = 0,4 * 16,73 / 2,3

z(s) = 2,90

Comparison between z(c)  and  z(s)

z(s) > z(c)       2,90 > 1,96

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

8 0
2 years ago
Pi/24 is the solution for 4cos2 (4x) - 3 = 0<br><br> True or false
inessss [21]

Answer:

True.

Step-by-step explanation:

Given,

4cos2 (4x) - 3 = 0

Now, 4π/24 = π/6

Or, cos π/6 = √3/2

Or, cos^2 π/6 = 3/4

Or, 4 cos^2 π/6 = 3

Now, Left Hand Side= 4cos2 (4x) - 3

                                  = 3-3 =0 = Right Hand Side (Proved)

Here, Left Hand Side= Right Hanad Side. So, 4cos2 (4x) - 3=0 is true.

5 0
3 years ago
Read 2 more answers
The earth has an average diameter of 12.800km. If you walked 24 hours a day, 5 days a week (and if you could walk on water)at a
Dimas [21]
1) Circumference of Earth: Diameter x π → 12,800 x π = 40,212.39 km 

2) time in Hour = distance/speed → distance = 40,212.39 and speed = 2 Mi/h 

1st: convert miles into km : 1 mile = 1.609344 km and 2 miles = 3.218688 km
2nd: convert speed into km/h → speed = 3.218688 km/h
And time in hour = 40,212.39 / 3.218688 → time = 12,493 hours  OR in days:
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4 0
3 years ago
Sharon wants to buy a shirt that costs $55. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt
Semmy [17]

easy

5% is .05 two decimals to the left

55 x .05 = 2.75

$2.75 is your sales tax

55+2.75=$57.75

8 0
3 years ago
How do you increase 429 Grams by 31%
Papessa [141]
If you want to increase something by 31% then...

100%+31%=131% or 1.31

you multiply it by 131% or 1.31. So for 429 grams...

429*1.31=561.99grams

If you increase 429 by 31%, you get 561.99 grams

Answer=561.99 grams
8 0
3 years ago
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