Answer:
The probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered=0.1353
Step-by-step explanation:
We are given that
![\beta=15](https://tex.z-dn.net/?f=%5Cbeta%3D15)
We have to find the probability that more that 30 minutes will elapse before the next fraudulent corporate tax return is discovered.
Using exponential distribution
![P(X> x)=e^{-\frac{x}{\beta}}](https://tex.z-dn.net/?f=P%28X%3E%20x%29%3De%5E%7B-%5Cfrac%7Bx%7D%7B%5Cbeta%7D%7D)
The probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered
![=P(x>30)=e^{-\frac{30}{15}}](https://tex.z-dn.net/?f=%3DP%28x%3E30%29%3De%5E%7B-%5Cfrac%7B30%7D%7B15%7D%7D)
The probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered
![P(x>30)=0.1353](https://tex.z-dn.net/?f=P%28x%3E30%29%3D0.1353)
Hence, the probability that more than 30 minutes will elapse before the next fraudulent corporate tax return is discovered=0.1353
![\sqrt{16}\times\sqrt{12}](https://tex.z-dn.net/?f=%5Csqrt%7B16%7D%5Ctimes%5Csqrt%7B12%7D)
$=\sqrt{4^2}\times\sqrt{2^2\cdot3}$
$=4\times2\sqrt3=8\sqrt3$
The string would have to be 4 feet long to have a frequency of 400cps because each foot=100cps
Answer: 31.50
Step-by-step explanation: 30$ = 3,000 cents, 5 percent of 3,000 = 150 cents, 150 cents = 1.5$
1.50 + 30.00 = 31.50
im not good at decimals sorry if this is wrong ;_;
Your answer would be 0.3m.
This is because an isosceles triangle has two sides of the same length, usually on either side above the base, which means we can first do 1 - 0.4 = 0.6m to get the total amount that the two sides add up to, and then 0.6 ÷ 2 = 0.3 to get how long each side is.
I hope this helps!