What is the solution to the system of equations graphed below?
2 answers:
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Answer:
The 95% confidence interval for the population mean rating is (5.73, 6.95).
Step-by-step explanation:
We start by calculating the mean and standard deviation of the sample:
We have to calculate a 95% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=6.34.
The sample size is N=50.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
The degrees of freedom for this sample size are:
The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the mean is (5.73, 6.95).
Answer:
y=−2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6y+2(3y−5)=−34
6y+(2)(3y)+(2)(−5)=−34(Distribute)
6y+6y+−10=−34
(6y+6y)+(−10)=−34(Combine Like Terms)
12y+−10=−34
12y−10=−34
Step 2: Add 10 to both sides.
12y−10+10=−34+10
12y=−24
Step 3: Divide both sides by 12.
=
y=−2