Answer:
Point N will be located between 0 and -1.
Step-by-step explanation:
Points A and D are placed at (-4, 0) and (4, 0) on a number line.
We have to find the location of a point N which divides AD in the ratio of 3 : 4.
Coordinates of a point (x, y) which divides a segment with extreme ends at and
in the ratio of m : n is given by,
x =
y =
By this formula, coordinates of the point N will be,
x =
x =
y = 0
Therefore, coordinates of the point N are .
Point N will be located between 0 and -1.
Answer:
D). 6 3/4
Step-by-step explanation:
Given,
The three eggs with the heaviest weights are;
ounces
ounces, &
2 ounces
To find,
The total weight of the three heaviest eggs = ounces +
ounces + 2 ounces
= 5/2 + 9/4 + 2/1
Taking the L.C.M. of 2, 4, and 1,
= 10/4 + 9/4 + 8/4
= (10 + 9 + 8)/4
= 27/4 or 6 3/4
Answer:
A)
B)
C) for n = 2
= 1
for n = 3
= 3
for n = 4
= 8
for n = 5
= 19
Step-by-step explanation:
A) A recurrence relation for the number of bit strings of length n that contain a pair of consecutive Os can be represented below
if a string (n ) ends with 00 for n-2 positions there are a pair of consecutive Os therefore there will be : strings
therefore for n ≥ 2
The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os
b ) The initial conditions
The initial conditions are :
C) The number of bit strings of length seven containing two consecutive 0s
here we apply the re occurrence relation and the initial conditions
for n = 2
= 1
for n = 3
= 3
for n = 4
= 8
for n = 5
= 19
Answer:
Please find the required line chart created with MS Excel
Step-by-step explanation:
Question:
The given data are;
3/4, 1 1/2, 2, 1 1/4, 3/4, 2, 1 1/2, 1 1/4, 1 1/2, 1/2, 1
In the question, it is required to create a line plot to represent the data
The given data can be sorted in ascending order in decimal form as follows;
0.5, 0.75, 0.75, 1, 1.25, 1.25, 1.5, 1.5, 1.5, 2
The line chart created with MS Excel is attached.
