Answer:
B, pi
Step-by-step explanation:
The sine wave shown above has two waves until it reaches 2 pi, making the period of the sine graph 2pi divided by the two waves, making the answer pi.
6 divided by 1 = 6
2/3 = 0.66666667
Answer:
14.6cm
Step-by-step explanation:
The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.
Hope this helps!
The correct answer is that g(-1) = 1.
To do this problem, we have to plug in -1 for x and evaluate the expression.
g(-1) = x^3 + 6x^2 + 12x + 8
(-1)^3 + 6(-1)^2 + 12(-1) + 8
-1 + 6 -12 + 8
1
Answer: the company should promote 4412 hours for these bulbs.
Step-by-step explanation:
Assuming that the lives of the bulbs are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = lifetime of the bulbs in hours.
µ = mean hours
σ = standard deviation
From the information given,
µ = 4000 hours
σ = 200 hours
If only 2% burn out, then the company would promote 98% would meet the claimed lifetime. Looking at the normal distribution table, the z score corresponding to a probability of 0.98 is 2.06. Therefore,
2.06 = (x - 4000)/200
Cross multiplying, it becomes
200 × 2.06 = (x - 4000)
412 = x - 4000
x = 4000 + 412
x = 4412 hours
