Answer:
x = -10; x = 7
Step-by-step explanation:
|2x + 3| - 6 =11
Add 6 to each side.
|2x + 3| = 17
Apply the absolute rule: If |x| = a, then x = a or x = -a.
(1) 2x + 3 = 17 (2) 2x + 3 = -17
Subtract 3 from each side
2x = 14 2x = -20
Divide each side by 2
x = 7 x = -10
<em>Check:
</em>
(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11
|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11
|17| - 6 = 11 |-17| - 6 = 1
1
17 - 6 = 11 17 - 6 = 11
11 = 11 11 = 11
#3.) 48 pieces of ribbon
#3.) this week they cost $112
Answer:
0.91517
Step-by-step explanation:
Given that SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random.
Let A - the event passing in SAT with atleast 1500
B - getting award i.e getting atleast 1350
Required probability = P(B/A)
= P(X>1500)/P(X>1350)
X is N (1100, 200)
Corresponding Z score = 
Answer:
work is shown and pictured
We are given that:
p is greater than 25, this means that p>25
p ∈ ]25,∞[ ...........> interval I
q is less than 35, this means that q<35
q ∈ ]-∞,35[ ...........> interval II
The given condition <span>p ∧ q is true means that (p and q) is true. In other word, their intersection is true.
Therefore, the final result would be the intersection between the two intervals (interval I and interval II)
Bases on the above, the final answer would be:
</span>]-∞,35[ ∧ ]25,∞[ which is ]25,35[<span>
</span>
