The probability that a point chosen at random in the triangle is also in the blue square can be calculated using geometrical definition of the probability:

$Pr=\dfrac{\text{desired area}}{\text{total area}}.$

1. Find the total area of the triangle:

$A_{total}=\dfrac{1}{2}\cdot 6\cdot 9=27\ in^2.$

2. Find the desired area of the square:

$A_{desired}=3\cdot 3=9\ in^2.$

Then the probability is

$Pr=\dfrac{9}{27}=\dfrac{1}{3}.$

Answer: correct choice is B

8 0

3 years ago

Emma's final grade in her math class is the average (mean) of her 5 chapter tests she took throughout the year. If she received

NikAS [45]

Answer:

Step-by-step explanation:

The mean (or average) of a set of numbers can be found with the following formula:

$Mean = \frac{A_{1} + A_{2} + ... + A_{N}}{N}$

For this problem, we have five numbers, so we add them together and divide by 5:

$Mean = \frac{92 + 85 + 78 + 97 + 88}{5}$

$Mean = \frac{440}{5}$

$Mean = 88$

8 0

3 years ago

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A line passes through the points (1, 4) and (3,-4). Which is the equation of the line?

SVETLANKA909090 [29]

Answer:

Y=-4x+8

Step-by-step explanation:

y2-y1/x2-x1

This wil give you slope.

5 0

3 years ago

En una reunión de 40 viejos piratas, 1/5 tenían una pata de palo y los 3/4 de ellos habían navegado en El Corsario. ¿Cuántos pir

Serga [27]

Answer:

spanish

Step-by-step explanation:

4 0

3 years ago