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ExtremeBDS [4]
3 years ago
5

2. 20 DATA VALUES LISTED IN NUMERICAL ORDER. FIND THE MEAN, MEDIAN, MODE, RANGE, LE UE, LQ, UQ

Mathematics
1 answer:
Andre45 [30]3 years ago
3 0

Answer:

facts

Step-by-step explanation:

facts

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If the center of a circle is (-5, -8) and contains the point (16, 68) what is the equation ?
vlabodo [156]

Answer:

(x+5)^2+(y+8)^2=6217

Step-by-step explanation:

Hi there!

Equation of a circle: (x-h)^2+(y-k)^2=r^2 where the circle is centered at (h,k) and r is the radius

<u>1) Plug the center of the circle into the equation</u>

Center: (-5,-8)

(x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-(-8))^2=r^2\\(x+5)^2+(y+8)^2=r^2

<u>2) Determine r²</u>

Plug in the given point (16,68)

(x+5)^2+(y+8)^2=r^2\\(16+5)^2+(68+8)^2=r^2\\(21)^2+(76)^2=r^2\\441+5776=r^2\\6217=r^2

Therefore, r² is equal to 6217. Plug this back into (x+5)^2+(y+8)^2=r^2:

(x+5)^2+(y+8)^2=6217

I hope this helps!

5 0
3 years ago
What is the area of a rectangle with a length of 3.2 cm and a width of 6.8 cm?
kap26 [50]

Answer:

21.76 Centimeters

Step-by-step explanation:

Length - 3.2 Cm

Width - 6.8 Cm

Area = Width * Length (Or other way around)


Multiply:

3.2 * 6.8

= 21.76


- I.A -

8 0
3 years ago
A large software development firm recently relocated its facilities. Top management is interested in fostering good relations wi
Rashid [163]

Answer: 3.5308

Step-by-step explanation:

Claim : The firm's professionals volunteer an average of more than 15 hours per month.

i.e.  \mu>15

Null hypothesis : H_0:\mu\leq15

Alternative hypothesis : H_1:\mu>15

Sample size : n=24

The sample mean : \overline{x}=16.6\text{ hours}

Sample standard deviation : \sigma=2.22\text{ hours}

The test-statistics for the population mean is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

i.e. z=\dfrac{16.6-15}{\dfrac{2.22}{\sqrt{24}}}=3.5307960256\approx3.5308

Hence, the correct value of the test statistic for the appropriate hypothesis test is 3.5308.

6 0
3 years ago
Help!
Alenkasestr [34]

Answer:

Your right the answer is 74

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve 152x = 36. Round to the nearest ten-thousandth.
Juli2301 [7.4K]
X = 36 / 152 = 0.2368
6 0
4 years ago
Read 2 more answers
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