Answer:
27A+81A =108
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx
so
That means it's the equation of a line passing through the origin.
case a) and case d) are discarded because the line does not pass through the origin
<u>case b) we have</u>
for x=2 y=4
y/x=k-------> 4/2=2------> k=2
y=2x-------> in this case the value of y is two times the value of x
<u>case c) we have</u>
for x=4 y=2
y/x=k-------> 2/4=1/2------> k=(1/2)
y=(1/2)x-------> in this case the value of y is one-half of the value of x
therefore
the solution is the case c) see the attached figure
Answer: D
Step-by-step explanation:
Answer:
The probability is 1/8 or 0.125
Step-by-step explanation:
In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.
In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2
Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)
When we have and in a probability question, that means we are to multiply the probabilities together.
Hence, P(HHH) = 1/2 * 1/2 * 1/2 = 1/8
Answer:
10.1 years.
Step-by-step explanation:
It is given that,
Principal = 9000
Rate of interest = 5%
No. of times interest compounded = 2 times in an year
Amount after certain time = 14800
The formula for amount:
where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.
Substitute the given values in the above formula.
Taking log both sides.
Therefore, the required time is 10.1 years.