Let x represent the worth of the professional basketball player's autograph a year ago. Since his autograph's worth increased by 40% now, $364 is 1.40x.
364 = 1.40x
Solving for x gives x = 260.
Thus, the autograph of the basketball player was worth only $260 last year.
Answer:
C. 5x
Step-by-step explanation:
Answer:
-4.65< -4 and 2/5
Step-by-step explanation:
To solve, this we can convert the fraction -4 and 2/5 into a decimal so that the values can be more easily compared. When we do this, we get the result that -4 and 2/5 equals -4.4. Now we can clearly see which value is greater because they are written in the same form:
-4.65<-4.4
-4.65<-4 2/5
Answer:
<em>99.93%</em>
Step-by-step explanation:
<u>Probability of Independent Events</u>
Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.
We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.
We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.
The probability that none of the systems detect the theft is

Thus, the probability that at least one of the systems detect the theft is

That means a 99.93%
difference= 0.78[Anastasia's] - (1 - 0.34)[Sergei's]=
0.78m - (0.66m)=0.12m=12cm