Answer:
all real numbers
Step-by-step explanation:
Answer:
<h2>
a ∈ (-∞, -3></h2>
Step-by-step explanation:
<h3>-
21 ≥ 3(a - 7) + 9</h3><h3>
- 21 ≥ 3a - 21 + 9</h3>
+21 +21
<h3>
0 ≥ 3a + 9 </h3><h3>
3a + 9 ≤ 0</h3>
-9 -9
<h3>
3a ≤ - 9</h3>
÷3 ÷3
<h3>
a ≤ -3 </h3><h3>
a ∈ (-∞, -3></h3>
Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Step-by-step explanation:
Given that:
Number of samples = 100
Number of defective samples = 15
Proportion =number defective samples / total samples
P = 15 / 100 = 0.15
Hence, the probability that an item produces is defective is 0.15.
However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.
4 years ago, the son was:
s-4
So, his father is currently:
3(s-4)
=
3s-12
Therefore:
f = 3s-12
In twelve years, the son will be:
s+12
And the father will be:
f+12
This can also be written as:
3s-12+12 as the fathers younger age would be f = 3s+12
=
3s
So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36
Son’s current age: 36
We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.
2(24)+24 = 72
Father’s current age: 72
Answer: 
Step-by-step explanation:
Given
Quadratic equation is
Solving by completing the square method
The solution set of the equation is
