The distributive property is when you have, for example, 2(1+3), and you multiply the 2 by both terms and add them together. so 2(1+3) = 2(1) + 2(3) = 2 + 6 = 8.
so with 16 + 48, to show the distributive property, you could divide by any common factor of 16 and 48. some correct ways to do this are:
16 + 48 = 2(8 + 24)
16 + 48 = 4(4 + 12)
16 + 48 = 8(2 + 6)
16 + 48 = 16(1 + 3)
you're just dividing 16 and 48 by the outside term to get the 2 numbers in the ( )
It has to be the third option 8(1+6) because 8+48= 56 and 8(1+6)= 56
Answer:
yeah
Step-by-step explanation:
1 + 1 = 2
Answer:
The probability is ![P(X \le 9) =0.9138](https://tex.z-dn.net/?f=P%28X%20%5Cle%209%29%20%3D0.9138%20%20)
Step-by-step explanation:
From the question we are told that
The probability of the television passing the test is p = 0.95
The sample size is n = 10
Generally the comprehensive testing process for all essential functions follows a binomial distribution
i.e
and the probability distribution function for binomial distribution is
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that at least 9 pass the test is mathematically represented as
![P(X \le 9) = P(X = 9) + P(X = 10 )](https://tex.z-dn.net/?f=P%28X%20%5Cle%209%29%20%3D%20%20P%28X%20%3D%209%29%20%2B%20P%28X%20%3D%2010%20%29)
=> ![P(X \le 9) = [^{10}C_9 * (0.95)^9 * (1- 0.95)^{10-9}]+ [^{10}C_{10} * {0.95}^{10} * (1- 0.95)^{10-10}]](https://tex.z-dn.net/?f=P%28X%20%5Cle%209%29%20%3D%20%5B%5E%7B10%7DC_9%20%2A%20%20%280.95%29%5E9%20%2A%20%20%281-%200.95%29%5E%7B10-9%7D%5D%2B%20%5B%5E%7B10%7DC_%7B10%7D%20%2A%20%20%7B0.95%7D%5E%7B10%7D%20%2A%20%20%281-%200.95%29%5E%7B10-10%7D%5D)
=> ![P(X \le 9) = [10 * 0.6302 * 0.05 ]+ [1 *0.5987 * 1 ]](https://tex.z-dn.net/?f=P%28X%20%5Cle%209%29%20%3D%20%5B10%20%2A%20%200.6302%20%20%2A%200.05%20%5D%2B%20%5B1%20%2A0.5987%20%2A%201%20%5D%20)
=> ![P(X \le 9) =0.9138](https://tex.z-dn.net/?f=P%28X%20%5Cle%209%29%20%3D0.9138%20%20)