Carlos can put the blocks in this three ways:
(i) 32 large blocks and 4 small blocks.
(ii) 22 large blocks and 5 small blocks.
(iii) 12 large blocks and 6 small blocks.
The total quantity of blocks equals the number of blocks stored in the sets of blocks. Based on the information given, we derive the following algebraic expression:
, 
(1)
Where:
- Quantity of small blocks.
- Quantity of large blocks.
Now we can clear in terms of :
(2)
From (2) we get the following combination of sets:
1) 
2) 
3) 
Carlos can put the blocks in this three ways:
(i) 32 large blocks and 4 small blocks.
(ii) 22 large blocks and 5 small blocks.
(iii) 12 large blocks and 6 small blocks.
We kindly invite to see this question on linear functions: brainly.com/question/3400735
Events:
1 ≤ n ≤ 100
A=x is a perfect square, i.e. x=n^2
B=x is odd, i.e. n is odd
P(A|B)
=P(A∩B)/P(B) by definition of conditional probability
(reads Probability that the number is a perfect square given that it is odd)
Since there are 10 perfect squares between 1 to 100 (1,4,9,16,25,36,49,64,81,100), out of which 5 are odd {1,9,25,49,81)
So P(A∩B)=5/100
P(B)=probability of odd x {1,3,5,7,.....95,97,99}
= 50/100=1/2
Therefore
P(A|B)=(5/100)/(1/2)=1/10
Answer:
y = (5/2)x + 4
Step-by-step explanation:
We'll look for an equation in the format y = mx + b, where mn is the slope and b the y-intercept (the value of y when x = 0).
y = mx + b
m is (5/2)
y = (5/2)x + b
We need a value of b that will force the line through point (-2,-1). Enter the point (-2,-1) in the equation and solve for b:
y = (5/2)x + b
-1 = (5/2)(-2) + b
-1 = -5 + b
b = 4
<u>The equation is y = (5/2)x + 4</u>
See attached image.
Simplified form would be twentieth root of 6
