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3 years ago

Two numbers, x and y, are randomly chosen from the interval [0,1]. What is the expected value of (x+y)?

2 answers:

7 0

The expression with an interval of [0,1] means all set of numbers including 0 and 1 and numbers within the range. In this case, the minimum sum could be 0 since x and y could be zero. The maximum is 2 since the two variables could be 1. The interval of x+y should be [0 , 2 ].

Igoryamba3 years ago

6 0

It could be 0 and 0 which yeilds a value of 0
it could be 1 and 1 which yields a value of 2

any number from 0 to 2

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If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0

3 years ago

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The

Delvig [45]

10 small boxes and 11 large boxes were shipped.

Step-by-step explanation:

Given,

Total boxes shipped = 21

Total volume of shipped boxes = 342 cubic feet

Volume of each small box = 10 cubic feet

Volume of each large box = 22 cubic feet

Let,

Number of small boxes = x

Number of large boxes = y

According to given statement;

x+y=21 Eqn 1

10x+22y=342 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=21)\\10x+10y=210\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(10x+22y)-(10x+10y)=342-210\\10x+22y-10x-10y=132\\12y=132$

Dividing both sides by 12

$\frac{12y}{12}=\frac{132}{12}\\y=11$

Putting y=11 in Eqn 1

$x+11=21\\x=21-11\\x=10$

10 small boxes and 11 large boxes were shipped.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago

M (slope) = b ( y - intercept) = x - intercept =

Soloha48 [4]

Answer:

Step-by-step explanation:

The line is parallel to the x axis, so its slope is 0

m = 0

the y intercept is -2.5

the line doesn’t intercept the x axis because is parallel to it

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3 years ago

Find slope. a. 4 b. -1/4 c. 1/4 d-4

Ganezh [65]

Answer:

1/4

Step-by-step explanation:

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3 years ago

Read 2 more answers

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professor190 [17]

Answer:

$231.67

Step-by-step explanation:

how you need to divide 589 to 3 and than you get 231.67

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3 years ago