Answer:
x = 2.2
Step-by-step explanation:
-15 + 12x = 5x + 7 - 3x
Combine like terms
-15 +12x = 2x +7
Subtract 2x from each side
-15 +12x -2x = 2x-2x +7
-15 +10x = 7
Add 15 from each side
-15+15 +10x = 7+15
10x = 22
Divide each side by 10
10x/10 = 22/10
x = 2.2
Answer:
There are 150 blue marbles in Alex's bag.
Step-by-step explanation:
Let 
, 
, 
be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:
Initial ratio
(1)
(2)
Final ratio
(3)
After some algebraic handling we get the following system of linear equations:
(1)
(2)
(3)
The solution of the system of linear equations is:
, 
, 
There are 150 blue marbles in Alex's bag.
Answer:
The correct option is (A).
Step-by-step explanation:
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
The 95% confidence interval for mean number of hours worked was,
CI = (39.6 hours, 43.9 hours).
The 95% confidence interval for mean number of working hours, (39.6, 43.9) hours, implies that the true mean number of working hours for the adults of the country lies in this interval with probability 0.95.
So, there is a 95% confidence or chance that the true mean values lies in the interval (39.6, 43.9).
Thus, the correct option is (A).
Answer:
A triangle with three sides that are each equal in length to those of another triangle, for example, are congruent. This statement can be abbreviated as SSS. Two triangles that feature two equal sides and one equal angle between them, SAS, are also congruent.
Step-by-step explanation:
Answer:
A
Step-by-step explanation: hope this helps!!
