Answer:
The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Step-by-step explanation:
Consider the provided information.
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .
Thus, n = 12, 
σ = 5000
degrees of freedom = n-1 = 12-1 = 11
Formula to find the value of z is: 
Where 
is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.
Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Let's check.
x = 5π/24
4x = 5π/6
cos 4x = cos(5π/6) = cos 150° = -√3/2
cos² 4x = (-√3/2)^2 = 3/4
4 cos² 4x -3 = 4 (3/4) - 3 = 0
Answer: TRUE
Answer:
x=ln(2)/3
Step-by-step explanation:
e^3x+6=8
e^3x=8-6
e^3x=2
ln(e^3x)=ln(2)
3x=ln(2)
x=ln(2)/3
Answer:
p=22
Step-by-step explanation:
180-70-2p-3p=0
110=2p+3p
110=5p
p=110÷5
p=22
Answer:
The gallons of gas the tank contain now is <u>35 1/12</u>.
Step-by-step explanation:
Given:
Fuel tank contains 1 3/4 gallons of gasoline.
Casey adds 33 1/3 gallons of gasoline to the tank.
Now, to find the total gallons of gas the tank contain.
Converting the mixed fractions into improper.
Gallons of gasoline in fuel tank 
.
Gallons of gasoline Casey adds 
.
<u>According to question:</u>
By adding we get the total gallons of gasoline now tank contain:
Therefore, the gallons of gas the tank contain now is 35 1/12.
