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3 years ago

So given a rectangle with a perimeter of 40, and a length 7, what is the width?

Mathematics

2 answers:

Elanso [62]3 years ago

8 0

Answer:

40 - 14 = 26

26/2 = 13

The width is 13

ira [324]3 years ago

6 0

Answer:

Step-by-step explanation:

7 x 2=14

40-14=26

26/2=13

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. Let X and Y be random variables of possible percent returns (0%, 10%,

bazaltina [42]

(a) The marginal distribution of X is

Pr(X = x) = ∑ Pr(X = x, Y = y)

… = 0.0625 + 0.0625 + 0.0625 + 0.0625

… = 0.25

That is, the first equality follows from the law of total probability, with the sum taken over y from {0, 5, 10, 15}. Each probability Pr(X = x, Y = y) is given in the table to be 0.0625.

Similarly, the marginal distribution of Y is

Pr(Y = y) = 0.25

(b) Yes, they're independent because

Pr(X = x, Y = y) = 0.0625,

and

Pr(X = x) Pr(Y = y) = 0.25 • 0.25 = 0.0625.

E[X] = ∑ x Pr(X = x)

… = 0.25 ∑ x

… = 0.25 (0 + 5 + 10 + 15)

… = 7.5

and you would find the same mean for Y,

E[Y] = 7.5

The variance of X is

V[X] = E[X^2] - E[X]^2

… = (∑ x^2 Pr(X = x)) - 7.5^2

… = 0.25 (∑ x^2) - 56.25

… = 0.25 (0^2 + 5^2 + 10^2 + 15^2) - 56.25

… = 31.25

and similarly,

V[Y] = 31.25

(each sum is taken with x and y from {0, 5, 10, 15})

7 0

3 years ago

This is so confusing all of it makes no sense

Tom [10]

Answer:

D). $4\sqrt{2}$

Step-by-step explanation:

STEP 1a: Find the last angle of the triangle. ( which is angle A)

$A+90+45=180$

STEP 1b: Solve the equation for A by adding 90 and 45.

$A+135=180$

STEP 1c: Then Move all terms not containing A to the right side of the equation by subtracting 135 from both sides of the equation

$A=180-135$

STEP 1d: Subtract 135 from 180.

$A=45$

STEP 2a: Find side b next.

STEP 2b: The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

$cos(A)=\frac{adj}{hyp}$

STEP 2c: Substitute the name of each side into the definition of the cosine function.

$cos(A)=\frac{b}{c}$

STEP 2d: Set up the equation to solve for the adjacent side, in this case b.

$b=c*cos(A)$

STEP 2e: Substitute the values of each variable into the formula for cosine.

$b=8*cos(45)$

STEP 2f: Cancel the common factor of 2.

$a=4\sqrt{2}$

HOPE THIS HELPS!

4 0

3 years ago

Read 2 more answers

Which of the following is not a property of quadrilaterals? A. There are four sides. B. There are four diagonals. C. There are f

Katarina [22]

A quadrilateral has 4 vertices and the sum of the measures of the interior angles is 360 degrees. There cannot be 4 diagonals in a quadrilateral.

5 0

3 years ago

If f(x) = 4x – 3 and g(x) = x + 4, find (f – g)(x).

Kaylis [27]

C. 5x – 1 im possitive

6 0

3 years ago

A park has a length to width ratio of 7:4 and the perimeter of the park is 880 meters. What are the length and width of the park

Schach [20]

Step-by-step explanation:

Ratio of length to width = 7 : 4

length = 7x

width = 4x

7x + 4x = 11x

length = 880

$880 + 4x = 11x$

$880 = 11x - 4x$

$880 = 7x$

$\frac{880}{7} = x$

$125.71 = x$

width = 4x

= 4(125.71)

= 502.85

3 0

3 years ago