Answer:
Step-by-step explanation:
From the information given:
mean life span of a brand of automobile = 35,000
standard deviation of a brand of automobile = 2250 miles.
the z-score that corresponds to each life span are as follows.
the standard z- score formula is:
For x = 34000
z = −0.4444
For x = 37000
z = 0.8889
For x = 3000
z = -2.222
From the above z- score that corresponds to their life span; it is glaring that the tire with the life span 30,000 miles has an unusually short life span.
For x = 30,500
z = -2
P(z) = P(-2)
Using excel function (=NORMDIST -2)
P(z) = 0.022750132
P(z) = 2.28th percentile
For x = 37250
z = 1
Using excel function (=NORMDIST 1)
P(z) = 0.841344746
P(z) = 84.14th percentile
For x = 35000
z = 0
Using excel function (=NORMDIST 0)
P(z) = 0.5
P(z) = 50th percentile
Answer:
The slope is -5/4.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-8)/(5-(-7))
m=-15/(5+7)
m=-15/12
simplify
m=-5/4
Answer:
Step-by-step explanation:
The increase in the number of books sold each year follows an arithmetic progression, hence it is linear.
The formula for the nth term of an arithmetic progression is expressed as
Tn = a + (n - 1)d
Where
Tn is the nth term of the arithmetic sequence
a is the first term of the arithmetic sequence
n is the number of terms in the arithmetic sequence.
d is the common difference between consecutive terms in the arithmetic sequence.
From the information given,
a = 500 (number of books in the first year.
T5 = 1000 (the number of books at 2014 is)
n = 5 (number of terms from 2010 to 2014). Therefore
T5 = 1000 = 500 + (5 -1)d
1000 = 500 + 4d
4d = 500
d = 500/4 =125
The linear function that represents the number of yearbooks sold per year will be
T(n) = 500 + 125(n - 1)
1/3 of something can never be bigger
than 1/2 of the same thing.
But if you're talking about 1/3 of a horse
and 1/2 of a rabbit, well, then . . .