Answer:
0.0002
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
(2x + y) - z
Let x=3 y=4 and z=5
2*3 +4 -5
Multiply and divide first
6 +4 -5
Then add and subtract
10-5
5
Answer:
- The first graph (see figure attached)
Explanation:
<u>1. Number of pages read by Robert</u>
Set a function for the number of pages read by Robert, taking into account that this is an arithmetic sequence, whose first term is 30, and the common difference is 20:
↑ ↑ ↑
first day next days
<u>2. Number of pages read by Tony:</u>
The arithmetic sequence that represents the number of pages read by Tony has first term 40, and common difference 14:
↑ ↑ ↑
first day next days
<u>3. Find the numbers of pages read by Tony in terms of the number of pages read by Robert.</u>
To do that, you must clear n from both equations and equal the two expressions obtained:
From R(n) = 30 + 20 (n - 1):
- R(n) = 30 + 20n - 20
- R(n) = 10 + 20n
- n = [R(n) - 10]/20
You can change R(n) to r:
From T(n) = 40 + 15 (n - 1)
Change T(n) to t
Equal both expressions:
- (r - 10) / 20 = (t - 25)/15
Solve for t:
Find some points of the equation t = 0.75r - 17.5 to compare with the points of the graph:
- r = 0 ⇒ t = 17.5, that means that the line intercepts the vertical axis at 17.5. The only graph that matches this is the first graph
Find other point:
- r = 30 ⇒ t = 0.75(30) + 17.5 = 40.Thus, the graph must contain the point (30, 40), which the first graph does.
<span>Simplifying
(6a + -8b)(6a + 8b) = 0
Multiply (6a + -8b) * (6a + 8b)
(6a * (6a + 8b) + -8b * (6a + 8b)) = 0
((6a * 6a + 8b * 6a) + -8b * (6a + 8b)) = 0
Reorder the terms:
((48ab + 36a2) + -8b * (6a + 8b)) = 0
((48ab + 36a2) + -8b * (6a + 8b)) = 0
(48ab + 36a2 + (6a * -8b + 8b * -8b)) = 0
(48ab + 36a2 + (-48ab + -64b2)) = 0
Reorder the terms:
(48ab + -48ab + 36a2 + -64b2) = 0
Combine like terms: 48ab + -48ab = 0
(0 + 36a2 + -64b2) = 0
(36a2 + -64b2) = 0
Solving
36a2 + -64b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '64b2' to each side of the equation.
36a2 + -64b2 + 64b2 = 0 + 64b2
Combine like terms: -64b2 + 64b2 = 0
36a2 + 0 = 0 + 64b2
36a2 = 0 + 64b2
Remove the zero:
36a2 = 64b2
Divide each side by '36'.
a2 = 1.777777778b2
Simplifying
a2 = 1.777777778b2
Take the square root of each side:
a = {-1.333333333b, 1.333333333b}</span>
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