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alisha [4.7K]
3 years ago
6

suppose you randomly choose an integer n between 1 to 5, and then draw a circle with a radius of n centimetres. What is the expe

cted area of this circle to the nearest hundredths of a square centimetres?
Mathematics
1 answer:
const2013 [10]3 years ago
5 0
The set of possible integers is 1, 2, 3, 4, and 5.

The area of a circle with radius of n centimeters = π(n)^2.

So, the set of possible values are:

n       area = π(n^2)

1       π

2       4π

3       9π

4       16π

5       25π

And the expected value of the area may be determined as the mean (average) of the five possible areas:

expected value of the area = [ π+ 4π + 9π + 16π + 25π] / 5 = 11π ≈ 34.5575, which rounded to the nearest hundreth is 34.56

Answer: 34.56
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Nimfa-mama [501]

Answer:

39.52

Step-by-step explanation:

3 0
2 years ago
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Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k
Nat2105 [25]
-k + 0.03 + 1.01K = -2.45 - 1.81k
0.01k + 0.03 = -2.45 - 1.81k
0.01k + 1.81k = -2.45 - 0.03
1.82k = -2.48
8 0
3 years ago
Hich of the following are the coordinates of the vertex of y = x2 − 10x + 2?
ANEK [815]
The vertex is in essence the turning point of the parabola y = x²<span> − 10x + 2

the x coordinate of the turning point = </span>- \frac{b}{2a}
                                                         = - \frac{-(10)}{2(1)}
                                                         =  5

when x = 5, y = (5)² - 10(5) + 2
                      = -23

Thus coordinate or vertex is ( 5, -23)

6 0
2 years ago
If FE measures 20 centimeters, the approximate area of circle B is what
MAXImum [283]

If FE measures 20 cm, then the area is 314 cm², if BE measure 3.5 cm, then the area is 38.5 cm², if AB measures 11 cm, then the area is 380 cm² and is EF measures 12 cm, then the area is 113 cm².

Area of a circle:

A = π r²

r = 1 /2 of diameter.

FE is the diameter

r = 20 / 2

r = 10 cm

Area of circle using FE:

A =  π ( 10 )² = π × 100 = 314 cm²

BE is a radius:

Area = π × 3.5² = π × 12.25 = 38.465

A = 38.5 cm²

AB is a radius:

Area = π × 11²
A = π × 121

A = 379.94 = 380 cm²

EF is a diameter:

r = 12 / 2 = 6 cm

Area = π × 6²

A = π × 36

A = 113.04 = 113 cm²

Therefore, if FE measures 20 cm, then the area is 314 cm², if BE measure 3.5 cm, then the area is 38.5 cm², if AB measures 11 cm, then the area is 380 cm² and is EF measures 12 cm, then the area is 113 cm².

Learn more about area here:

brainly.com/question/25292087

#SPJ9

Your question was incomplete, Please refer the content below:

1) if FE measures 20 centimeters, the approximate area of circle B is what?

2) if BE measures 3.5 centimeters, the approximate area of circle B is what?

3) if AB measures eleven centimeters, the approximate area of circle B is what

4) If EF measures twelve centimeters, the approximate area of circle B is what?

6 0
1 year ago
The circle graph above shows the results of a survey of 660 students in a school. How many students participate in sports?
sleet_krkn [62]

Answer:

231

Step-by-step explanation:

35 % = 0.35

35 % of the students participate in sports

No. of students participating = 0.35 × 660 = 231

5 0
2 years ago
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