Answer:
X=½ or 3
Step-by-step explanation:
0=2x²-7x+3
0=(2x-1)(x-3)
0=2x-1 or 0=x-3
1=2x or 3=x
½=x
Answer:
The solution of the system of equation is x = 3.5
Step-by-step explanation:
The given system of equation is;
f(x) = 3·x + 5 and g(x) = x + 12
To find the common solution, we equate the values of both functions as follows;
3·x + 5 = x + 12
We collect like terms;
3·x - x = 12 - 5
2·x = 7
x = 7/2 = 3.5
x = 3.5
Therefore, the solution of the system of equation is x = 3.5
16 1/2= 33/2=66/4
66/4 x 1/4 is 66/16
33/8
The answer is 33/8 ounces.
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 = 152.5
For the alternative hypothesis,
µ ≠ 152.5
This is a two tailed test.
Since no population standard deviation is given, the distribution is a student's t.
Since n = 231
Degrees of freedom, df = n - 1 = 231 - 1 = 230
t = (x - µ)/(s/√n)
Where
x = sample mean = 148.9
µ = population mean = 152.5
s = samples standard deviation = 27.4
t = (148.9 - 152.5)/(27.4/√231) = - 2
We would determine the p value using the t test calculator. It becomes
p = 0.047
Since alpha, 0.05 > thanthere sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals the p value, 0.047, then we would reject the null hypothesis. Therefore, At a 5% level of significance, there is sufficient evidence to conclude that the self-efficacy of adults who have experienced childhood trauma differs from that in the general population of individuals
In order to solve this exercise you need to remember the following symbols in Inequalities:
1. The meaning of this symbol is "Greater than":
2. The meaning of this one is "Less than":
3. The following symbol means "Less than or equal to":
4. And this one means "Greater than or equal to":
Knowing the above, you can determine that the statement "c is less than 6", can be written as the following inequality:
The answer is:
