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BigorU [14]
3 years ago
6

What is the side length of the square if A=81 m squared

Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

Answer:

The side length is 9m

Step-by-step explanation:

A = 81 m^2

Since the figure is a square, we know the area of a square is A = s^2 where s is the side length

81 m^2 = s^2

Take the square root of each side

sqrt(81 m^2 ) = sqrt( s^2)

9 m = s

The side length is 9m

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Let X1, X2 and X3 be three independent random variables that are uniformly distributed between 50 and 100.
sergejj [24]

Answer:

a) the probability that the minimum of the three is between 75 and 90 is 0.00072

b) the probability that the second smallest of the three is between 75 and 90 is 0.396

Step-by-step explanation:

Given that;

fx(x) = { 1/5 ; 50 < x < 100

              0, otherwise}

Fx(x) = { x-50 / 50 ; 50 < x < 100

                          1 ;   x > 100

a)

n = 3

F(1) (x) = nf(x) ( 1-F(x)^n-1

= 3 × 1/50 ( 1 - ((x-50)/50)²

= 3/50 (( 100 - x)/50)²

=3/50³ ( 100 - x)²

Therefore P ( 75 < (x) < 90) =  ⁹⁰∫₇₅ 3/50³ ( 100 - x)² dx

= 3/50³ [ -2 (100 - x ]₇₅⁹⁰

= (3 ( -20 + 50)) / 50₃

= 9 / 12500 = 0.00072

b)

f(k) (x) = nf(x)  ( ⁿ⁻¹_k₋ ₁) ( F(x) )^k-1 ; ( 1 - F(x) )^n-k

Now for n = 3, k = 2

f(2) (x) = 3f(x) × 2 × (x-50 / 50) ( 1 - (x-50 / 50))

= 6 × 1/50 × ( x-50 / 50) ( 100-x / 50)

= 6/50³ ( 150x - x² - 5000 )

therefore

P( 75 < x2 < 90 ) = 6/50³ ⁹⁰∫₇₅ ( 150x - x² - 5000 ) dx

= 99 / 250 = 0.396

3 0
3 years ago
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STALIN [3.7K]

Answer:

b.line segment

Step-by-step explanation:

line segment is a piece and or part of a line having two end points

6 0
3 years ago
What is the answer to this question?
Arturiano [62]

Answer:

22.5°

Step-by-step explanation:

The triangle is an equal 1/8 slice of the octagon. If another triangle were placed right next to it, it would have the same angle. so to find out the angle, we just have to divide it by 2.

45 ÷ 2 = 22.5

5 0
3 years ago
Factor the polynomials completely 2x^4r-72r
prisoha [69]

Answer:

2r(x^2-6)(x^2+6)

Step-by-step explanation:

2x^4r-72r=2r(x^4-36)=2r(x^2-6)(x^2+6)

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How many grams of glucose, CoH12O6, are needed to make 100 mL of a 1.5 M solution?
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Answer:

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Step-by-step explanation:

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