Answer:
The mean of X is 122.5 and the standard deviation is 7.9.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem, we have that:
So
The mean of X is 122.5 and the standard deviation is 7.9.
Answer:
d
Step-by-step explanation:
(5x + 3 ) - (x + 2 )
distribute (5x + 3) by 1 and (x - 2) by - 1
= 5x + 3 - x - 2 ← collect like terms
= 4x +1 → d
Answer:
Step-by-step explanation:
so when remembering how to write ordered pairs, think of the monkey bars. you have to get there before you can climb up, x being walking to the monkey bars and y being climbing up them. Think of the steps to get to the monkey bars compared to the fact that x is before y. getting to the monkey bars comes before climbing them, is x (run) and climbing them would be y (rise), and not the other way around because like the question said; x comes before y.
I really hope this wasn't too confusing. I'm really sorry if it was!
Hope this helps! :)
C is the answer to this question
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Hope it helps, despite being this long!
