In a system of equations ax + b = 0, a≠ 0, the equation x = -b/a is referred as a non-trivial solution.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The system Ax + b = 0 has the following solutions:
- The zeros, which is the trivial solution.
- x = -b/a, which is the non-trivial solution.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
22 and 7
Step-by-step explanation:
Let x and y be the two numbers we are looking for:
The statement “their sum is 29” means x + y = 29
The statement “their difference is 15” means x - y = 15
we get this system:
x + y = 29 (1)
x - y = 15 (2)
Let’s solve it :
(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22
Now we replace x by 22 in equation (1) :
22 + y = 29 ⇒ y = 29 - 22 = 7
Answer:
The volume of the cylinder = π r² h
where r is the radius of the cylinder and h is the height of the cylinder.
This is formula is applied for the right cylinder as figure 1 and oblique cylinder as figure2.
<u>The volume of the cylinder of figure 1:</u>
r = 6 and h = 7
volume = π r² h = π * 6² * 7 = 252π units³
<u>The volume of the cylinder of figure 2:</u>
r = 11 and h = 15
volume = π r² h = π * 11² * 15 = 1,815π units³
Let get all the information.
Mean:394
Deviation:35
Looking for At Least 380 feet
To find the z score you take the wanted probality subtract the mean and divide by the deviation.
z=(380-394)/35.
z=-0.4
So far so good.
But when he looked at the table he looked at probability that the home runs are less then 380 feet.
From this table
http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf
To find the answer you have to take 1-(the probability that the home runs are less than 380 feet)or 1-0.3446=0.6554
He made an error in his calculation.
Answer: a) 46 minutes
b) 10:47
The basic knowledge for this is that 60 minutes = 1 hour
<u>a)</u> Question a asks for how long it took from a 10:34 bus from Mosley to reach Bamford. From the table you can see that the 10:34 bus reaches Bamford at 11:20. All you have to do is count from 10:34 to 11:20.
10:34 will become 11:00 at 10:60 right? Clock's generally don't show 10:60 but goes directly to 11:00 after 1 minute is passed at 10:59. So from 10:34 to 11:00, it takes 26 minutes. Remember the bus reaches at 11:20 so from 11:00 to 11:20, it takes 20 minutes. Now add them up:
26 minutes + 20 minutes = 46 minutes
Here you go! Total 46 minutes from Mosley to Bamford.
<u>b)</u> From question b, we can see that Trina did not ride the first bus or by any chance missed it because the bus left at 10:14 and she is at the station at 10:15. Now think it from your perspective! You missed the first bus and you are in a big rush. So to reach your destination as early as possible, you will obviously take the next earliest bus. The next bus is at 10:24 (Belton). So if we take the 10:24 bus in Belton, it reaches at 10:47 in Garton.
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hope it helped
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