If a^2 and b are directly proportional, and a=2 when b=9, then what is b when a=6?
1 answer:
Answer:
b = 81
Step-by-step explanation:
given a² and b are directly proportional then the equation relating them is
a² = kb ← k is the constant of proportionality
to find k use the condition a = 2 when b = 9 , then
2² = 9k
4 = 9k ( divide both sides by 9 )
= k
a² = b ← equation of proportion
when a = 6 , then
6² = b
36 = b ( multiply both sides by 9 to clear the fraction )
324 = 4b ( divide both sides by 4 )
81 = b
You might be interested in
The answer is C. The lengths of the first triangle is 23 and 28 mm, a similar figure's side lengths have to be proportional so. The one in the choice C is 4 times the first triangle ,
Answer:
0.0423 is the probability that the adult female has a height less than 61.3 inches.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 65.3 inches
Standard Deviation, σ = 2.32 inches
We are given that the distribution of adult female height is a bell shaped distribution that is a normal distribution.
Formula:
P(adult female has a height less than 61.3 inches)
Calculation the value from standard normal z table, we have,
0.0423 is the probability that the adult female has a height less than 61.3 inches.