Answer: ( -∞ , - 21 )
Step-by-step explanation:
Let the number be x , so from the question , we have
5(x+27) ≥ 6 ( x + 26 )
expanding , we have
5x + 135 ≥ 6x + 156
5x - 6x ≥ 156 - 135
- x ≥ 21
Therefore :
x ≤ - 21
So , the numbers less or equal to -21 are -21 ,-22 , -23 ...
so the solution set is ( - ∞ , 21 )
Answer:
300
Step-by-step explanation:
if you mean, 245.320
95% C.I. = mean + or - 1.96(standard deviation / sqrt(sample size))
95% C.I. = 57 + or - 1.96(3.5/sqrt(40) = 57 + or - 1.085 = 57 - 1.085 to 57 + 1.085 = 55.92 to 58.09
Therefore, 95% of the mean will occur in the interval 55.92 to 58.09
Answer:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Step-by-step explanation:
<A ≅ <E,
Side length AC ≅ Side length EF
Side length AB ≅ Side length ED,
Thus, this implies that an included angle and two sides of one triangle are congruent to an included angle and 2 corresponding side lengths of the other triangle.
Therefore, we would conclude that:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
