If one term of a proportion is not known, what can be used to find the value of that term? a. substitution c. cross-multiplicati
1 answer:
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Answer:
a.
b.
c.
d.
Step-by-step explanation:
Given that there are two laptop machines and four desktop machines.
On a day, 2 computers to be set up.
To find:
a. probability that both selected setups are for laptop computers?
b. probability that both selected setups are desktop machines?
c. probability that at least one selected setup is for a desktop computer?
d. probability that at least one computer of each type is chosen for setup?
Solution:
Formula for probability of an event E can be observed as:
a. Favorable cases for Both the laptops to be selected = = 1
Total number of cases = 15
Required probability is .
b. Favorable cases for both the desktop machines selected =
Total number of cases = 15
Required probability is .
c. At least one desktop:
Two cases:
1. 1 desktop and 1 laptop:
Favorable cases =
2. Both desktop:
Favorable cases =
Total number of favorable cases = 8 + 6 = 14
Required probability is .
d. 1 desktop and 1 laptop:
Favorable cases =
Total number of cases = 15
Required probability is .
Answer:
y = 0.3
Step-by-step explanation:
Solve for y:
(3.2y - 1.8) - (5.2 y + 3.4) = -5.8
-(5.2y + 3.4) = -5.2y - 3.4:
3.2y - 1.8 -5.2y - 3.4 = -5.8
Grouping like terms, 3.2y - 1.8 - 5.2y - 3.4 = (3.2y - 5.2y) + (-1.8 - 3.4):
(3.2y - 5.2y) + (-1.8 - 3.4) = -5.8
3.2y - 5.2y = -2 y:
-2y + (-1.8 - 3.4) = -5.8
-1.8 - 3.4 = -5.2:
-5.2 - 2y = -5.8
Add 5.2` to both sides:
(5.2 - 5.2) - 2y = 5.2 - 5.8
5.2 - 5.2 = 0:
-2y = 5.2 - 5.8
5.2 - 5.8 = -0.6:
-2y = -0.6
Divide both sides of -2y = -0.6 by -2:
y = 0.3