Answer:
D) 50ft
Step-by-step explanation:
(18×x) + (32×18) + [(48-18-18)×(32-11)]
= 1728
18x + 576 + (12×21) = 1728
18x = 1728 - 828
18x = 900
x = 50
There are four colors of marbles. There are 12 numbers on the dice. There is a 1/4 chance of pulling a specific color marble and a 1/12 chance of rolling a specific color. 1/4 times 1/12 is 1/48. There can be 48 outcomes.
Answer:
a. The probability of both balls are blue is
.
b. The probability of getting first red and second yellow ball is
.
Step-by-step explanation:
It is given that the box contains 14 red balls,12 blue balls,and 9 yellow balls. The total number of balls is

The probability is defined as

Probability of getting red ball = 
Probability of getting blue ball = 
Probability of getting yellow ball = 
It is given that a ball is drawn at random and the color is noted and then put back inside the box. It means first event will not effect the probability of second event.
a.
The probability of both balls are blue is

b.
The probability of getting first red and second yellow ball is

From the figure, let's find the missing measures.
• m∠e
Angle e is vertically opposite to the measure 66°
Applying the vertical angles theorem, both angles are congruent.
Thus, we have:
e = 66°
• m∠f:
To find the measure of angle f, apply the angles on a straight line theorem.
Angles on a straight line are supplementary ans supplementary angles sum up to 180 degrees.
Angle F and angle e are on a straight line.
Thus, we have:
m∠e + m∠f = 180
m∠f = 180 - m∠e
m∠f = 180 - 66
f = 114°
• m∠d
Angle d is a right angle. Thus, the measure of angle d is 90 degrees.
d = 90°
ANSWER:
• d = 90,°
,
• e = 66,°
,
• f = 114°