Answer:
c > 9
Step-by-step explanation:
2c/3 + 1 > 7
subtract 1 from both sides
2c/3 > 6
multiply both sides by 3
2c > 18
divide both sides by 2
c > 9
Square root of 4 is 2
Square root of 9 is 3
7 is between 4 and 9, so its square root is somewhere between 2 and 3, which means the correct answer is between P and Q
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = $5
For the alternative hypothesis,
µ < $5
number of samples taken = 10
Sample mean, x = (4 + 3 + 2 + 3 + 1 + 7 + 2 + 1 + 1 + 2)/10 = 2.6
To determine sample standard deviation, s
s = √(summation(x - mean)/n
n = 12
Summation(x - mean) = (4 - 2.6)^2 + (3 - 2.6)^2 + (2 - 2.6)^2 + (3 - 2.6)^2 + (1 - 2.6)^2 + (7 - 2.6)^2 + (2 - 2.6)^2 + (1 - 2.6)^2 + (1 - 2.6)^2 + (2 - 2.6)^2 = 30.4
s = √30.4/10 = 1.74
Since the number of samples is 10 and no population standard deviation is given, the distribution is a student's t.
Since n = 10,
Degrees of freedom, df = n - 1 = 10 - 1 = 9
t = (x - µ)/(s/√n)
Where
x = sample mean = 2.6
µ = population mean = 5
s = samples standard deviation = 1.74
t = (2.6 - 5)/(1.74/√10) = - 4.36
We would determine the p value at alpha = 0.05. using the t test calculator. It becomes
p = 0.000912
No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r. One solution: 2x + 4 = 3x + 1/2
The complete question is attached below.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
If the value of the variable is zero, then the no solution.
If the value of the variable is one, then the one solution.
If the value of the variable is infinity, then the infinite many solutions.
No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r.
One solution: 2x + 4 = 3x + 1/2
More about the linear system link is given below.
brainly.com/question/20379472
#SPJ1
-3 ; -2 1/2; -2 2/5; -2 3/10; -2;
