Answer:
Almond: $7/4 per pound
Jelly Bean: $ 11/4 per pound
Step-by-step explanation:
A: almond
J: jelly bean
3A + 5J = 19 .... multiply 9 each side
27A + 45J = 171 .....(1)
9A + 7J = 35 .....multiply 3 each side
27A + 21J = 105 ....(2)
(1) - (2) 24J = 66
J = 66/24 = 11/4
3A + 5 x 11/4 = 19
3A = 21 / 4
A = 7/4
Answer:
-70.075
Step-by-step explanation:
it's answer hope it helps you
Answer:
the probability that a code word contains exactly one zero is 0.0064 (0.64%)
Step-by-step explanation:
Since each bit is independent from the others , then the random variable X= number of 0 s in the code word follows a binomial distribution, where
p(X)= n!/((n-x)!*x!*p^x*(1-p)^(n-x)
where
n= number of independent bits=5
x= number of 0 s
p= probability that a bit is 0 = 0.8
then for x=1
p(1) = n*p*(1-p)^(n-1) = 5*0.8*0.2^4 = 0.0064 (0.64%)
therefore the probability that a code word contains exactly one zero is 0.0064 (0.64%)
Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;
Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)
Answer: 5:40 am
Step-by-step explanation:
The train reached the station at 9:15 am after having travelled for 3 hrs 35 minutes.
The time the train departed from Riya's hometown was the time it arrived in Mumbai station less the time taken to travel:
= 9:15 - 3:35
First deduct the 3 hours:
= 9:15 - 3
= 6 : 15 am
Remove the 35 minutes by first removing the 15 minutes
= 6:15 - 15
= 6:00 am
Then remove the rest of the 35 minutes which is 20 minutes:
= 6:00 - 20 minutes
= 5:40 am
