Answer:
Opt. 1 -3 ≤ x ≤ 3
Step-by-step explanation:
Inequalities are regions, the attached picture shows us a region located between -3 and 3, the dots used are solid, this means that the value '3' is include in the region.
Hence the variable is narrowed to -3 and 3.
Answer:
Distributive Property
Step-by-step explanation:
2(c) + 2(5t)
2c + 10t
Answer:12,24,32 44,56
Step-by-step explanation:
Answer:
1.4000 ;
0.0807 ;
1.69 ;
Fail to reject the Null
Step-by-step explanation:
Given :
μ = 21 minutes
x = 22.4 minutes
Sample size, n = 36
Standard deviation, s = 6
H0: μ ≥ 21
H1: μ < 21
Test statistic : (x - μ) ÷ s/sqrt(n)
Test statistic : (22.4 - 21) ÷ 6/sqrt(36)
Test statistic : 1.4 ÷ 1
Test statistic = 1.4000
Pvalue : Using the Test statistic value at α = 0.05 ; One - tail test = 0.0807
The t critical value using a critical value calculator ; DF = (n - 1) = 36 - 1 = 35 ; α = 0.05 = 1.69
Decision region :
Reject H0 if
|Test statistic| > |critical value|
1.4 < 1.69
Hence, we fail to reject H0
There isn't enough evidence they delivery time has been reduced below previous mean
Since O is inscribed in triangle ABC, you know that AB, AC, and BC are all tangent to the circle. The tangent segments theorem asserts that AD is congruent to A F; BD is congruent to BE; and CF is congruent to CE. (NOTE: E is the point where the circle touches BC - I've taken the liberty of labeling it as such.)
Then the perimeter 
of triangle ABC will be twice the sum of the labeled edges:
