When a number is subtracted from 11, the result is 6 more than the number. Find the number.
2 answers:
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Hello!
We can solve this system using substitution.
Since y = -3x + 5, we can substitute this into the following equation:
5x - 4(-3x + 5) = -3
Simplify:
5x - 4(-3x) - 4(5) = -3
5x + 12x - 20 = -3
Combine like terms:
17x - 20 = -3
Add 20 to both sides:
17x = 17
x = 1
Substitute to find y:
y = -3(1) + 5
y = -3 + 5
y = 2
Solution: (1, 2)
Answer: 2.508
Step-by-step explanation:
As per give , we have
Sample size : n= 23
Degree of freedom : df= n-1=22
significance level :
Since , the sample size is small (n<30) and population standard deviation is unknown.
So , we use t-test.
For confidence interval , we find two-tailed test value.
Critical t-value :
[using students's t-critical value table]
Hence, the critical value that should be used in constructing the confidence interval = 2.508