Jaswanth P.

Business Analytics Student | Ex- Data Sciences at Startup

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Basic Math

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Question:

What is the area, in square feet, of the triangle whose sides have lengths equal to 10, 6 and 8 feet?

Jaswanth P.

Answer:

Given sides of a triangle are 6,8,10 We can see that $$ 8^{2} + 6^{2} = 10^{2}$$ => 64 + 36 = 100 => 100 = 100 The triangle is a right-angled triangle. Length of the hypotenuse = 10 Other sides of the triangle are 8,6 Therefore, Area of the triangle = 1/2 * (8) * (6) = 48/2 = 24

Statistics

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Question:

Two coins are tossed, find the probability that two heads are obtained. Assume the coin is a fair coin. Each coin has only two possible outcomes Heads or Tails

Jaswanth P.

Answer:

The sample space S is given by. S = {(H,T),(H,H),(T,H),(T,T)} Let E be the event "two heads are obtained". E = {(H,H)} We use the formula of the classical probability. P(E) = n(E) / n(S) = 1 / 4

Algebra

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Question:

Solve the equation 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Jaswanth P.

Answer:

Given the equation 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13 Multiply the factors. (-15x - 10) - (x + 3) = (-16x - 20) +13 Group like terms. -16x - 7 = -16x - 7 Add 16x + 7 to both sides and write the equation as follows 0 = 0 The above statement is true for all values of x and therefore all real numbers are solutions to the given equation.

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