Answer:
x < -3/4 OR x>16/5
Step-by-step explanation:
5x – 4 > 12 OR 12x+5 < -4
Solve the parts separately and then put back together
5x – 4 > 12
Add 4 to each side
5x-4+4>12+4
5x >16
Divide each side by 5
5x/5>16/5
x > 16/5
12x+5 < -4
Subtract 5 from each side
12x+5-5<-4-5
12x<-9
Divide each side by 12
12x<-9/12
x <-3/4
Put back together
x < -3/4 OR x>16/5
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).
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Answer:
Step-by-step explanation:
The area of Triangle ACE from the given diagram is; 150 sq.units
<h3>What is the area of the triangle?</h3>
We are given;
AB = 44
AC = 30
ME = 10
Now, to find the area of triangle ACE, we need to know the length KE where K is the midpoint of AC.
Now, since AD bisects angle BAC. This means that ∠KEA = ∠MEA.
By ASA Congruence Postulate, we can say that; ΔAEK ≅ AEM
Thus, we can say that KE = ME = 10
Formula for area of triangle is;
A = ¹/₂ * base * height
where;
base = AC = 30
Height = KE = 10
Thus;
A = ¹/₂ * 30 * 10
A = 150
Read more about area of the triangle at; brainly.com/question/17335144
