Answer:y = -5x + 11
Step-by-step explanation:
First, find the slope (m) of the line that passes through these points:
m = (1-6) / (2-1) = -5/1 = -5
Then use the point slope formula to find the equation of the line:
m = (y-y0)/(x-x0)
-5 = (y-1)/(x-2)
-5(x-2) = y-1
y - 1 = -5x+10
y = -5x + 11
The probability of choosing two yellow marbles = 5/26
Step-by-step explanation:
Step 1 :
Given
Total number of marbles in the bag = 13 marbles
Number of yellow marbles = 6.
We choose 2 marbles from the bag without replacing and need to determine the probability that both are yellow.
Step 2 :
Probability of finding yellow marble in the first try = Number of yellow marbles / Total number of marbles = 
Once the yellow marble is selected we have 5 yellow marbles among 12 remaining marbles in the bag.
Probability of finding yellow marble in the second try = Number of yellow marbles / Total number of marbles = 
Step 3:
P(yellow in first 2 tries) = P(yellow in first try) * P(yellow in second try)
P(yellow in first 2 tries) =
= 
Step 4:
Answer:
The probability of choosing two yellow marbles = 5/26
Answer:
degree of polynomial = 5
leading term = 
leading coefficient = 2
constant term = -6
Step-by-step explanation:

(i) The degree of the polynomial = 5. That is, the highest power of x
(ii) Leading term =
. This is the term with the highest power of x.
(iii) Leading Coefficient = 2. That is, the coefficient of the leading term (
)
(iv) Constant term = -6. This is the term that is independent of x or the term in which x doesn't appear.
Answer:
The range of data is 9
Step-by-step explanation:
We know that
range of data = maximum value of data - minimum value of data
Now, we can find maximum value of data
and minimum value of data
so,
maximum value of data =9
minimum value of data =0
now, we can plug these values
and we get
range of data =9-0
range of data =9
Answer:
15 teachers
Step-by-step explanation:
Given:
number of children is c
number of teachers is t
=
(rearrange)
t =
x C
When C = 70,
t =
x 70
t = 15 teachers