Answer: 48
Step-by-step explanation: To find the range of the data set shown here, remember that the range is the difference between the greatest number in the data set and the least number in the data set.
<em>Greatest number</em> → 64
<em>Least number → </em>16
Now, we need to subtract 16 from 64.
64 - 16 = 48
Therefore, the range of the data set is 48.
Answer:
x = 60
Step-by-step explanation:
Vertical opposite angles are formed when two straight lines intersect each other.
Given that AD and CD are two straight lines intersecting at O, the two vertical opposite formed are, ∠AOD and ∠COB. Therefore:
∠AOD = ∠COB (Vertical opposite angles are congruent)
∠AOE = 90° (right angle)
∠DOE = x
∠COF = 30°
∠BOF = 2x
m∠AOE + m∠DOE = m∠AOD (angle addition postulate)
90 + x = ∠AOD (Substitution)
m∠COF + m∠BOF = m∠COB (Angle addition postulate)
30 + 2x = ∠COB
m∠AOD = m∠COB (vertical opposite angles)
90 + x = 30 + 2x (Substitution)
Collect like terms
90 - 30 = 2x - x
60 = x
x = 60
Answer:
A.

B.

C.

Step-by-step explanation:
Dustin has a bag of marbles with 4 blue marbles, 4 white marbles, and 3 red marbles. There are 11 marbles in total.
A. The probability that the first marble drawn is blue marble is

the probability that the second marble drawn is red marble is

The probability that the first marble drawn is blue and the second is red is

B. The probability that the first marble drawn is red marble is

the probability that the second marble drawn is white marble is

The probability that the first marble drawn is red and the second is white is

C. The probability that the first marble drawn is blue marble is

the probability that the second marble drawn is blue marble is

the probability that the third marble drawn is blue marble is

The probability that the first, second and third marbles drawn are blue is

Answer:
There are no solutions.
Step-by-step explanation:
−2x=−2(x−14)
-2x=(−2)(x)+(−2)(−14)
-2x=−2x+28
-2x+2x=−2x+28+2x
0= 28