(0.5, 1.3) is the correct answer
Step-by-step explanation:
Given equations are:
As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.
We can plot the graph of both equations using any online or desktop graphing tool.
We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)
We can see from the graph that the lines intersect at: (0.517, 1.267)
Rounding off both coordinates of point of intersection to nearest tenth we get
(0.5, 1.3)
Hence,
(0.5, 1.3) is the correct answer
Keywords: Linear equations, variables
Learn more about linear equations at:
#LearnwithBrainly
Pick 1: 3 apples out of 11 pieces of fruit → 3/11
Pick 2: 4 oranges out of 10 pieces of fruit → 4/10 = 2/5
Pick 1 AND Pick 2
3/11 x 2/5 = 6/55
Answer:
0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
What is the probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random?
There are 5 freshman non-Statistics majors out of 102 students.
Then, there will be 18 junior statistics majors out of 101 students(1 will have already been chosen). So
0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random
Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
Hey there!!
Remember : R = range and f ( x ) = y and y = range
R : { 5 , 6 , 7 , 8 }
( 1 ) 5 = 1 x / 2 + 4
... 5 - 4 = x / 2
... 1 = x / 2
... x = 2 = ( 2 , 5 )
( 2 ) 6 = x / 2 + 4
... 2 = x / 2
... x = 4 = ( 4 , 6 )
( 3 ) 7 = x / 2 + 4
... 3 = x / 2
... x = 6 = ( 6 , 7 )
( 4 ) 8 = x /2 + 4
... 4 = x/2
... x = 8 = ( 8 , 8 )
Hope my answer helps!
