Answer:
There are 123,410 ways
Step-by-step explanation:
The number of ways or combinations in which we can select k elements from a group of n elements is given by:

In this case, we can replace n by 43 and k by 4, because we are going to select 4 light bulbs from a batch of 43 light bulbs.
So, the number of combinations is calculated as:

It means that there 123,410 ways to select 4 light bulbs from a batch of 43 lights bulbs to be tested for defects
Answer:sry I don’t get tht type of math if I did I would of helped u sry :( but I hope u have a wonderful Christmas break ❄️
Step-by-step explanation:
Answer:
d=10
Step-by-step explanation: step 1: 2/5d-1 = 3/5d-3 add 3 to both sides
+3 +3
step 2: 2/5d+2 = 3/5d subtract 2/5d to both sides
-2/5d -2/5d
step 3: 2 = 1/5d multiply 5/1 to both sides
* 5/1 = *5/1
10 = d
Answer:
6 times we need to transmit the message over this unreliable channel so that with probability 63/64.
Step-by-step explanation:
Consider the provided information.
Let x is the number of times massage received.
It is given that the probability of successfully is 1/2.
Thus p = 1/2 and q = 1/2
We want the number of times do we need to transmit the message over this unreliable channel so that with probability 63/64 the message is received at least once.
According to the binomial distribution:

We want message is received at least once. This can be written as:

The probability of at least once is given as 63/64 we need to find the number of times we need to send the massage.





By comparing the value number we find that the value of n should be 6.
Hence, 6 times we need to transmit the message over this unreliable channel so that with probability 63/64.