The velocity of a car on the highway is given by v(t) where 0 ≤ t ≤ 10 in minutes. Which of the following represents the rate at
1 answer:
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Answer:
(5, -1)
Step-by-step explanation:
The three coordinates of a triangle are given as:
(5,3), (-5,3), (-5,-1).
To find:
The missing vertex = ?
Solution:
Let us label the vertices:
A (5,3),
B(-5,3),
C(-5,-1).
Let the missing vertex be ().
Let us recall the properties of a rectangle.
The <em>opposite sides</em> of the rectangle are equal and parallel to each other.
Let us consider the side AB, we can see that only x coordinate is changed from A to B.
Let us consider the side BC, we can see that only y coordinate is changed from B to C.
A and B are adjacent vertices.
Similarly the opposite vertices will be C and D.
Same pattern will be followed in CD as that of AB.
x coordinate will be changed by same difference as that of AB.
Change in x coordinate from D to C =
Change in x coordinate from A to B =
Equating them:
Same pattern is followed in BC and AD.
Their change in y coordinate will be same.
Missing vertex is <em>(5, -1)</em>.
Please refer to the attached image for the rectangle.
Answer:
B) 0.02
Step-by-step explanation:
<u>Use the Binomial Theorem</u>
We have the probability of success, , and the probability of failure,
. The binomial coefficient,
, represents the amount of possible combinations that
items can be chosen out of
items, with its respective formula
.
Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02