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VMariaS [17]
3 years ago
6

Write the equation of the circle with radius 2 and center (2,-3)

Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer:

(x-2)^{2} + (y+3)^{2} = 4

Step-by-step explanation:

Formula

Centre (a,b) \\Radius r(x-a)^{2} + (y-b)^{2} = r^{2}\\\\Centre (2, -3) \\Radius 2(x-(2))^{2} + (y-(-3))^{2} = 2^{2}\\(x-2)^{2} + (y+3)^{2} = 4

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Which situation demonstrates the law of large numbers
sveticcg [70]

Answer: Choice B

The more trials you do, the closer the empirical probability should get to the theoretical probability. It won't be a perfect match but it will likely be close enough so to speak. Note how 70/420 = 1/6.

4 0
3 years ago
. Use the statistical features of your calculator to find the mean and the standard deviation to the nearest tenth of a data set
uysha [10]

Answer:

Mean = 1.9

Standard deviation = 0.6

Step-by-step explanation:

The Mean is calculate by the formula:

Mean = \frac{\text{Sum of all the observation}}{\text{Total number of observation}}

⇒ Mean = \frac{24.9+24.7+24.7+23.4+27.9}{5} = 1.85

Thus Mean to the nearest tenth is 1.9

Standard Deviation is the square root of sum of square of the distance of observation from the mean.  

Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }

where, \bar{x} is mean of the distribution.

Putting all values in the formula, We get

Standard Deviation = 0.597 ≈ 0.6

6 0
3 years ago
What is the area of this whole figure in square units?
IrinaK [193]
Well, it is a good and interesting question

Such areas could be calculated in a single shoot and also by dividing the whole shape into other shapes and the total area would be the sum of these areas

I prefer the way of a single shoot ...

The figure represents a trapezoid:
its lower base = 21 units
its upper base = 12 units
the normal height between them = 8 units

NOW

The area of a trapezoid = [(sum of bases' lengths) ÷ 2] * height
                                       = [(12 + 21) ÷ 2] * 8 = 132 sq units


Hope that helps
7 0
3 years ago
Kiri has red and white roses in groups of 8. She has x groups of red roses and y groups of white roses. Which expression shows t
Marizza181 [45]

Answer:

8x+8y

Step-by-step explanation:

red roses = 8 × x = 8x

white roses = 8 × y = 8y

total= 8x+8y

7 0
3 years ago
Mary rounds these numbers to the nearest hundred. Which number does she round to 400? Choose all that apply. A) 351. B) 369 C).
natulia [17]

Answer:

401

Step-by-step explanation:

7 0
2 years ago
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