The length of country and western songs is normally distributed and has a mean of 200seconds and a standard deviation of 25 seconds. Find the probability that a randomselection of 9 songs will have mean length of 188.58 seconds or less. Assume thedistribution of the lengths of the songs is normal.

Probability = 0.1039

Step-by-step explanation:

To solve this problem, we have to find the t- value.

From the question,

Mean; μ = 200

Standard deviation; σ = 25

N = 9

Distribution of the t statistic (also known as the t score), whose values are given by:

t(x) = (x - μ)/ [σ/√(n)]

x = sample mean

μ = Population mean

n = sample size

σ = standard deviation

In this question,

x = 188.58

μ = 200

n = 9

σ = 25

Plugging in these values, we now have;

t(188.58) = (188.58 - 200)/ [25/√(9)]

t(188.58) = -1.3704

Now, Degree of Freedom is given by,

DF = n - 1

So,DF = 9 - 1 = 8

So,for P(x < 188.58) with degree of freedom of 8 and and t value as -1.3704, from the t-distribution table and online calculator, we have a value of 0.1039

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

glide reflection.

its mainly because the pattern will be infinite and will never end. it will look like a gilder or like a filpbook when set to motion.