9514 1404 393
Answer:
B. -2/3
Step-by-step explanation:
Each small division on this number line is 1/3 unit. Point A is 2 small divisions left of 0, so corresponds to the value -2/3.
Answer:
30 percent of 30 is 9 30 plus 9 is 39
<h3>
Answer: B) angle 4</h3>
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Explanation:
We can think of lines L and M as sort of train tracks. Inside the train tracks we have the interior angles of: 3, 4, 5, 6
Angles 3 and 6 are one pair of alternate interior angles. They are on alternate sides of the transversal line N.
The other pair of alternate interior angles are 4 and 5
Alternate interior angles are only congruent when L and M are parallel.
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
<h3>What is the distance?</h3>
Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position
We know that r × t = d
r = rate of speed
t = time
d = distance
For the motor boat
9 × t = d = rate × time
For the tour boat
27 × (t - 2) = d = rate × time
When they both cover the same distance in the same amount of time, they will eventually cross paths.
They both cover the same d-mile distance, so:
9 ×t = 27 × (t - 2)
Simplify to get:
9 × t = 27 × t - 54
18 t = 54
t = 3
The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.
The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
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Answer:
P(R) = 0.14
P(I) = 0.16
P(D) = 0.315
Step-by-step explanation:
Let Democrat = D
Republican = R
Independent = I
If 45% are Democrats, 35% are Republicans, and 20% are independents, then
Total registered voters = 100
In an election, 70% of the Democrats, 40% of the Republicans, and 80% of the independents voted in favor of a parks and recreation bond proposal. That is,
D = 0.7 × 45 = 31.5
R = 0.4 × 35 = 14
I = 0.8 × 20 = 16
If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is
a Republican:
P(R) = 14 /100 = 0.14
an Independent
P(I) = 16/100 = 0.16
a Democrat
P(D) = 31.5/100 = 0.315
