Answer:
The probability that x will take on a value between 120 and 125 is 0.14145
Step-by-step explanation:
For uniform distribution between a & b
Mean, xbar = (a + b)/2
Standard deviation, σ = √((b-a)²/12)
For 110 and 150,
Mean, xbar = (150 + 110)/2 = 130
Standard deviation, σ = √((150-110)²/12 = 11.55
To find the probability that x will take on a value between 120 and 125
We need to standardize 120 & 125
z = (x - xbar)/σ = (120 - 130)/11.55 = - 0.87
z = (x - xbar)/σ = (125 - 130)/11.55 = - 0.43
P(120 < x < 125) = P(-0.87 < x < -0.43)
We'll use data from the normal probability table for these probabilities
P(120 < x < 125) = P(-0.87 < x < -0.43) = P(z ≤ -0.43) - P(z ≤ -0.86) = 0.33360 - 0.19215 = 0.14145
Hope this Helps!!!
The movies of 120 min or less than 120 mins are 100
Further explanation:
A histogram is a visual representation of data.
In the given histogram we can see that
5 movies are 0 to 30 minutes, 10 movies are 31 to 60 minutes, 30 movies are 61 to 90 minutes, 55 movies are 91 to 120 minutes, and 15 movies are over 120 minutes.
In order to find the number of movies which are 120 minutes long or less than 120 minutes we will add up all the number of movies with 120 length and less than that
So,

The movies of 120 min or less than 120 mins are 100
Keywords: Histogram, reading histograms
Learn more about histograms at:
#LearnwithBrainly
a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,
6! = 6
5
= 30
4
= 360
2 = 720 possible ways to order 6 people in a row
b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.
5! = 5
4
= 20
3
= 120
1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.
In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )
c. With each husband on the left, there are 3 people left, all women, that we have to consider here.
3! = 3
2 6 ways to arrange 3 couples in a row, the husband always to the left
Answer:
Please post a picture of the given triangle.
Step-by-step explanation:
What problems do you need help with I dosen't show???