Answer:
0.4435
Step-by-step explanation:
Given that :
X is normally distributed:
mean(m) = 1,000
standard deviation (s) = 250
probability that X lies between 800 and 1,100?
Using the relation :
X = 800
Zscore = (x - m) / s
Zscore = (800 - 1000) / 250
Zscore = - 200 / 250
Zscore = - 0.8
P(Z ≤ - 0.8) = 0.2119
X = 1100
Zscore = (x - m) / s
Zscore = (1100 - 1000) / 250
Zscore = 100 / 250
Zscore = 0.4
P(Z ≤ 0.4) = 0.6554
P(Z ≤ 0.4) - P(Z ≤ - 0.8)
0.6554 - 0.2119
= 0.4435
Answer:
And we can find the individual probabilities using the probability mass function and we got:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want this probability:
And we can use the complement rule and we got:
And we can find the individual probabilities using the probability mass function and we got:
And replacing we got:
Answer:
-1
Explanation:
The slope is equal to the rise/run of the line, or in other words, the number of units the line travels upwards per the number of times the line travels to the right.
We can see that for every -1 units the line travels upwards, the line travels right 1 unit. Therefore, the slope is -1/1, which is the same as -1.
I hope this helps!
Firstly, we will find slope of the given lne
we can select any two points from the graph
(-4,-5) and (4,-1)
so, x1=-4 , y1=-5 m x2=4 , y2=-1
now, we can use formula
now, we can plug values
(B)
we are given
line parallel to the nline shown
and we know that
slope of two parallel lines are always equal
so, slope will also be
we have point as (3,4)
now, we can use point slope form of line
we can plug values
we get
(D)
we have point as (-3, 2)
and we know that
slope of perpendicular line is -1/m
so,
now, we can use point slope form of line
we get
.............Answer