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ruslelena [56]
3 years ago
6

Another question random characters

Mathematics
2 answers:
otez555 [7]3 years ago
6 0
Area = πr²
r = 4

(4)² = 16

π = 3.14 (rounded)

16(3.14) = 50.24

50.24 is your answer

hope this helps
wariber [46]3 years ago
3 0
Area of a circle using the radius is pi*r^2, so:
A=3.14*4^2
A=3.14*16
A=50.24
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Find the population variance and standard deviation. 8​, 17​, 29​, 35​, 41 Choose the correct answer below. Fill in the
Nuetrik [128]

Answer:

(a) σ²  = 144

(b) s² = 12

Step-by-step explanation:

(a) Population variance σ² = ∑(X - \overline{X})² / N

The arithmetic mean \overline{X} = \frac{8 + 17 + 29 + 35 + 41}{5}

                                   \overline{X} = \frac{130}{5}

                                   \overline{X} = 26

σ²  =  \frac{(8 - 26)^{2} + (17 - 26)^{2} + (29 - 26)^{2} + (35 - 26)^{2} + (41 - 26)^{2}}{5}

     =  \frac{(- 18)^{2} + (- 9)^{2} + (3)^{2} + (9)^{2} + (15)^{2}}{5}

     =  \frac{324\ +\ 81\ +\ 9\ +\ 81\ +\ 225}{5}

     = \frac{720}{4}

σ²  = 144

(b) Standard\ deviation = \sqrt{Variance}

                                   = \sqrt{144}

                                   = 12

 

7 0
3 years ago
When considering the normal power demand as reported by a utility company, the power demand at midnight is 1040 MW. During the f
anastassius [24]

Answer:

120 MW/hour

Step-by-step explanation:

The formula of the average rate of change between two points in a function is:

Average rate of change (ARC) = f(x2) -f(x1)/(x2-x1)

Let's think  the power demad as a function d(x) depending of the hour of the day, so the variable x= hour of the day.

Now we have:

d(5)= 1600

d(8)= 1960

If we apply the mentioned ARC formula = [d(8)-d(5)] MW/(8-5)hour= (1960-1600)MW/3hour= 360/3=120 MW/Hour

3 0
3 years ago
5 times 10 to the power of 3 times 9 times ten to the power of 7
geniusboy [140]

Answer:

Step-by-step explanation:

450000000000

3 0
3 years ago
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If a translation maps ∠D onto ∠B, which of the following statements is true? triangle CAB, point E is on segment AC between poin
mrs_skeptik [129]

Answer:

The correct option is;

ΔCED ~ ΔCAB

Step-by-step explanation:

Given that the translation maps angle ∠D to angle ∠B, we have;

Angle ∠D is congruent to ∠B (Given)

Segment ED is parallel to segment AB (lines having similar angles to a common transversal)

Therefore, ∠A is congruent to ∠E, (Angle on the same side of a transversal to two parallel lines)

∠C is congruent to ∠C reflexive property

Therefore, we have;

∠C ≅ ∠C

∠E ≅ ∠A  

∠D ≅ ∠B

Which gives ΔCED is similar to ΔCAB (not ΔCBA)

4 0
3 years ago
-13/10x - 3/2 (11/6x +1)
lukranit [14]
So first simplify 11/6x into 11x/6. Then -13/10x into -13x/10. So you should now have (-13x/10-11x/4)-3/2. Combine the like terms -13x/10 and -11x/4 to get -81x/20 and then with your left over -3/2= -81x/20-3/2
4 0
3 years ago
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