A map uses a scale of inch = 50 miles. If two cities are 12 inches apart on the map, find their actual distance.

Can someone help wit this asap i have 10 more mins

bazaltina [42]

A is the correct answer

4 0

3 years ago

If f(x)=x+1/x-1 and g(x)=1/x, find f(-2x)

dezoksy [38]

Answer:

First notice that θ is in quadrant I, where the sine and tangent will also be positive.

Then draw the angle in quadrant I. Drop a perpendicular to the x axis.

Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.

Then sinθ=vertical/hypotenuse= 24/25 and tanθ= vertical/horizontal= 24/7

Step-by-step explanation:

6 0

3 years ago

. 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.

(c) The mean of X is

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

Logarithms and exponentials are?

Aneli [31]

Answer:

Logarithms are the "opposite" of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication. Logs "undo" exponentials. Technically speaking, logs are the inverses of exponentials. On the left-hand side above is the exponential statement "y = bx

Step-by-step explanation:

3 0

3 years ago

Question in image again

Reil [10]

16in I believe irdk
Hope it helped..

7 0

3 years ago

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