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2 years ago

Jacob runs 5 miles in 1 1/2 hours . Robert runs 3 miles in 45 minutes or 3/4 hour. Who runs faster

Mathematics

1 answer:

IgorLugansk [536]2 years ago

5 0

Answer:

Robert

Step-by-step explanation:

If Robert runs 3 miles in 45 minutes, by the end of 90minutes, Robert would have covered 6miles, while Jacob covered 5miles in 90 minutes, therefore, Robert ran faster than Jacob.

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3 years ago

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9. Consider the function f(x) = x² + 3x – 4.

BaLLatris [955]

Answer:

c. f(x) = (x + 4)(x - 1)

Step-by-step explanation:

Since you're familiar with the product of two binomials:

(x +a)(x +b) = x² + (a+b)x + ab

you know that the constants in the binomial factors must ...

have a product of -4
have a sum of +3

All of the choices except B have binomial constants that have a product of -4.

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2 years ago

The object of the game is to toss a beanbag in the circular hole of a 48-by-24-inch board. If the diameter of the circle is 6 in

larisa [96]

Answer:

Geometric probability of an object hitting a circular hole is 0.0245.

Step-by-step explanation:

We have given,

A board of size 48 by 24 inch. There is a circular hole in the board having diameter 6 inches.

So,

Area of a board = 48 × 24 = 1152 square inches

And area of circular hole = π×r² {where r = diameter/2 = 6 / 2 = 3 inches}

Area of circular hole = π×3² = 9π = 28.27 square inches

Now, we need to find the geometric probability of an object will hit the circle.

Geometric probability = Area of circular hole / Area of board

Geometric probability = $\frac{28.27}{1152}$

Geometric probability = 0.0245

hence geometric probability of an object hitting a circular hole is 0.0245.

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2 years ago