Hello from MrBillDoesMath!
Answer:
n = 5
Discussion:
Let the original number be "n" Translating the problem statement to mathematical symbolism:
n + 4 = 19 - 2n => add 2n to both sides
n + 2n + 4 = 19 - 2n + 2n => combine like terms
3n + 4 = 19 => subtract 4 from both sides
3n = 19 -4 = 15 => divide both sides by 3
n = 15/3 =5
Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.
Thank you,
MrB
They are called unike fractions. If u would want to do anything to them u would have to make the denominaters the same
Square root is this 4 and -4 are square roots to 16 because 4^2= 16
Answer:
The formula y = mx + b sometimes appears with
different symbols.
For example, instead of x, we could use the
letter C. Instead of y, we could use the letter F.
Then the equation becomes
F = mC + b.
All temperature scales are related by linear
equations. For example, the temperature in
degrees Fahrenheit is a linear function of degrees Celsius.
Water freezes at: 0°C, 32°F
Water Boils at: 100°C, 212°F
Hope this helps!
Answer:
a
The point estimate of the population mean is 
b
The 80% confidence level is 
c
There is 80% confidence that the true population mean lies within the confidence interval.
Step-by-step explanation:
From the question we are told that
The sample size is n = 18
The standard deviation is 
The sample mean is 
Generally the point estimate of the population mean is equivalent to the sample mean whose value is 
Given that the confidence interval is 80% then the level of significance is mathematically represented as



Next we obtain the critical value of
from the normal distribution table
The value is 
Generally the margin of error is mathematically evaluated as

=> 
=> 
Generally the 80% confidence interval is mathematically represented as

=> 
=> 
The interpretation is that there is 80% confidence that the true population mean lies within the limit