Starting with the equation Y - 4x = 7, we can express y as y = 4x + 7. Now, substitute this expression into the second equation 2y + 4x = 2:
2(4x + 7) + 4x = 2,
which simplifies to 8x + 14 + 4x = 2. After that, we gather like terms:
12x = 2 - 14,
yielding 12x = -12, hence x = -1. Plugging x into the equation y - 4(-1) = 7 also reveals:
y + 4 = 7,
which gives y = 3. Thus, the solution arrives at (-1, 3).
Response:
8861: 9495
Detailed explanation:
The income ratio for the years 2001 to 2003:
53,166: 56,970
To simplify, divide both sides by 6:
8,861: 9,495
This can't be simplified further, so that is the final result!
8861: 9495
I hope this helps! Have a great day:)
Answer:
The chance of completing the entire package installation in under 12 minutes is 0.1271.
Step-by-step explanation:
We define X as a normal distribution representing the time taken in seconds to install the software. According to the Central Limit Theorem, X is approximately normal, where the mean is 15 and variance is 15, giving a standard deviation of √15 = 3.873.
To find the probability of the total installation lasting less than 12 minutes, which equals 720 seconds, each installation should average under 720/68 = 10.5882 seconds. Thus, we seek the probability that X is less than 10.5882. To do this, we will apply W, the standard deviation value of X, calculated via the formula provided.
Utilizing 
, we reference the cumulative distribution function of the standard normal variable W, with values found in the attached file.
Given the symmetry of the standard normal distribution density function, we ascertain 
.
Consequently, the probability that the installation process for the entire package is completed within 12 minutes is 0.1271.
Answer:
7 years
Step-by-step explanation:
Suri is 17 years old.
Her cousin's age is c.
Suri's age is stated to be 4 less than 3 times her cousin’s age.
This means we take 3 times her cousin’s age and subtract 4.
17 = 3c - 4
We now need to solve for c, which represents her cousin's age.
Add 4 to each side:
17 + 4 = 3c - 4 + 4
17 + 4 = 3c
21 = 3c
Now divide both sides by 3:
21/3 = 3c/3
7 = c
Thus,
Her cousin is 7 years old.
