Answer:
$39.20
Step-by-step explanation:
$49 * (1-.2) = $39.20
A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed
from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?
Answer:
7 blue marbles
Step-by-step explanation:
15 blue
5 red
11 green
Total = 31
Number of Blue marbles that must be removed to obtain a probability of :
P(blue) = 1/3
Probability = required outcome / Total possible outcomes
Let number of blue marble to be removed = x
Number of Blue becomes : 15 - x
Total becomes : 31 - x
P(blue) = 1/3
1/3 = (15 - x) / (31 - x)
1/3 * (31 - x) = 15 - x
(31 - x) / 3 = 15 - x
31 - x = 45 - 3x
-x + 3x = 45 - 31
2x = 14
x = 14 / 2
x = 7
9514 1404 393
Answer:
88°
Step-by-step explanation:
Angle MQP is called an "inscribed angle." Its vertex (Q) is on the circle, and its sides are chords of the circle. The ends of the sides intercept arc MP. The relationship between an inscribed angle and the intercepted arc is that <em>the measure of the arc is twice the measure of the angle</em>.
arc MP = 2×∠MQP = 2×44°
arc MP = 88°
Answer:
x = - 9
Step-by-step explanation:
Given
3x + 2 = 2x - 7 ( subtract 2x from both sides )
x + 2 = - 7 ( subtract 2 from both sides )
x = - 9
