Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
Answer:
Options (B) and (E)
Step-by-step explanation:
Area of ΔABC = 
= 
= 42 in²
Area of trapezoid ADEC =
[Here,
and
are the parallel sides and 'h' is the height of the isosceles trapezoid given]
= 
= 96 in²
Area of the pentagon = Area of triangle ABC + Area of trapezoid ADEC
= 42 + 96
= 138 in²
Therefore, Options (B) and (E) are the correct options.
Answer:
see below
Step-by-step explanation:
The experimental probability of heads is
P( heads) = 28/50 = 14/25
The theoretical probability is
P (heads) =1/2
Getting a common denominator for the experimental
25/50
comparing the experimental and the theoretical
28/50 > 25/50
experimental > theoretical
<u>Define x:</u>
Let one of the numbers be x.
The other number is x + 2
<u>Construct equation:</u>
<span>twice the smaller is 16 more than the larger
</span>⇒2x = x + 2 - 16
<u>Solve x:</u>
2x = x + 2 - 16
x = -14
<u>Find the two numbers:</u>
Smaller number = x = -14
Larger number = x + 2 = -12
Answer: The two numbers are -14 and -12
Answer:
y = -2x - 7
Step-by-step explanation:
x - 2y = 6
-2y = -x + 6
Divide the whole equation by (-2)

slope = 1/2
Slope of the line perpendicular to this line = -1/m = -1 ÷ (1/2)

(-3, - 1)
y -y1 = m(x -x1)
y - [-1] = -2(x - [-3])
y + 1 = -2(x + 3)
y + 1= x* (-2) + 3*(-2)
y + 1 = -2x - 6
y = -2x - 6 - 1
y = -2x - 7