Answer:
P-value = 0.4846
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4.73
Sample mean, 
= 4.35
Sample size, n = 51
Alpha, α = 0.05
Sample standard deviation, s = 3.88
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
We can calculate the p-value with the help of standard normal table.
P-value = 0.4846
Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.
We conclude that this college has same drinking habit as the college students in general.
Answer:
Your solution is (-10/7, 92/7)
Step-by-step explanation:
12x + y = -4
y = 2x + 16
To use substitution, we want to plug one variable's equation into the other equation.
We can see that y is already solved for us. Plug y into the first equation.
12x + y = -4
12x + (2x + 16) = -4
Combine like terms.
14x + 16 = -4
Subtract 16 from both sides.
14x = -20
Divide both sides by 14.
x = -20/14
x = -10/7
Now that we know x, we will plug it into one of the other equations.
y = 2x + 16
y = 2(-10/7) + 16
Multiply.
y = -20/7 + 16
Add.
y = -20/7 + 112/7
y = 92/7
Your solution is (-10/7, 92/7)
Hope this helps!
Answer:
5.5 inches
Step-by-step explanation:
1) the formula to find the area of a square is l^2= area and l=length
in this case we already know the area but not the length
so we have to find the square root of 30 as the opposite operation needs to be used to find the missing number
so
√30= 5.47
5.47 rounded= 5.5
the length of one side is 5.5 in
