Answer:
9
Step-by-step explanation:
3y = 27x
We want to find k when y = kx
Divide each side by 3
3y/3 = 27x/3
y = 9x
The constant of proportionality is 9
Step-by-step explanation:
3b - 3.76 = 1.34
3b = 3.76+ 1.34
3b = 5.1
b= 5.1/3
= 1.7
F(x) = ln(x² - 12x)
The derivative is
f(x) is undefined when x² - 12x = x(x - 12) = 0
That is, when x = 0 or x = 12.
Therefore the domain is (-∞, 0)∪(0,12)∪(12, ∞)
Answer:
The derivative is
The domain is
(-∞, 0)∪(0, 12)∪(12,∞)
Answer:
54 balloons in each room
Step-by-step explanation: The answer is 54 because the company had 335 balloons, but then 11 exploded, so first you do 335-11=324. Lastly, you have to divide 324÷6, which gives you 54 balloons in each room
Answer:
The probability that the person is between 65 and 69 inches is 0.5403
Step-by-step explanation:
Mean height =
Standard deviation =
We are supposed to find What is the probability that the person is between 65 and 69 inches i.e.P(65<x<69)
At x = 65
Z=-0.4
Refer the z table for p value
P(x<65)=0.3446
At x = 69
Z=1.2
P(x<69)=0.8849
So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403
Hence the probability that the person is between 65 and 69 inches is 0.5403