Answer:
Third option:
Step-by-step explanation:
<h3> The correct exercise is attached.</h3>
The equation given is:
The steps to find the value of "x" are shown below:
1. Add 2 to both sides of the equation:
2. Descompose 9 and 27 into their prime factors:
3. Substitute them into the equation:
4. Knowing that If , then
, we get:
5. Apply Distributive property:
6. Add 2 to both sides:
7. Divide both sides of the equation by 2:
Answer:
Linearly, because the table shows that the sunflowers increased by the same amount each month
Step-by-step explanation:
Given the table
Note that months change one-by-one (21-1, 3-2=1, 4-3=1).
Also
This means the number of sunflowers increases linearly, because the table shows that the sunflowers increased by the same amount each month
Answer:
The probability that a defective rod can be salvaged = 0.50
Step-by-step explanation:
Given that:
A machine shop produces heavy duty high endurance 20-inch rods
On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.
If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.
Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches
Now:
P(X ≤ 5) =
= 0.25
P(X ≥ 15) =
= 0.25
The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)
= 0.25+0.25
= 0.50
∴ The probability that a defective rod can be salvaged = 0.50