Answer:
-2.5
Step-by-step explanation:
Plugged into calculator
Answer:
99.1 is the 90th percentile of these scores.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 85
Standard Deviation, σ = 11
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.90
Calculation the value from standard normal z table, we have,

Putting values, we get,
Thus, 99.1 is the 90th percentile of these scores.
Answer:
I think it’s c
Step-by-step explanation:
Answer:
0.6173 = 61.73% probability that the product operates.
Step-by-step explanation:
For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
An electronic product contains 48 integrated circuits.
This means that 
The probability that any integrated circuit is defective is 0.01.
This means that 
The product operates only if there are no defective integrated circuits. What is the probability that the product operates?
This is P(X = 0). So


0.6173 = 61.73% probability that the product operates.
Lets say you have an addition problem
3 + 7 = ?
To figure that you can just add in your head since its easy.
3 + 7 = 10
You can work backwords to check to see if your awnser is right.
When you work backwards you do the opposite of what you are doing, so if your adding the opposite would be subtracting, and if your multiplying than the opposite would be dividing.
So you could work it out like this:
(Regular⬇️)
3 + 7 = 10
(Backwards⬇️)
10 - 7 = 3
And if you get the same numbers that were in the original awnser than you are correct! Hope this helps!!!!