The range is a set of elements from the second set.
Therefore your answer is:
<h3>D. { -4, 1, 7, 15 }</h3>
Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
Answer:
Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.
Step-by-step explanation:
The table that can be formed by the rate at which they study the number of pages of a book is:
Fred Lonnie total
5 4 9
10 8 18
15 12 27
20 16 36
That means when they read a combined of 36 pages.
Then the number of pages read by Fred is 20 pages.
and the number of pages read by Lonnie is 16 pages.
(
Also it could be done as :
Let Fred reads 'x' pages.
so, the number of pages read by Lonnie is: (4/5)x
Hence,
x+(4/5)x=36
on solving this linear equation we have:
x=20
and (4/5)x=16
)
Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.
Answer:
what the question
Step-by-step explanation:
can you help me with my question The surface of the Gilded Age was of great prosperity, while the interior was corrupt; the "gilding" or good exterior of the Gilded Age came from which of the following? A. Rebuilding the nation from the left over money from the War B. The technological advancements of the industrial revolution C. The mass movement of people from the country into the cities D. New monuments and buildings built in honor of the war heroes
Answer:
P(A) = 1/2
Step-by-step explanation:
The question seems incomplete, I assume that we want to find the probability of event A.
Here we have a fair six-sided dice, so each one of the six numbers has exactly the same probability of being rolled.
Such that the possible outcomes of rolling the dice is:
{1, 2, 3, 4, 5, 6}
Now we define event A as rolling an even number.
The possible outcomes such that the event A is true are the even numbers:
{2, 4, 6}
So we have 3 outcomes out of 6.
Then the probability of rolling an even numbers, is just the quotient between the number of outcomes of even numbers (3) and the total number of outcomes (6).
Then:
P(A) = 3/6 = 1/2 = 0.5
