<span>Given:
xbar = 20 min
standard deviation = 8 min
total sample = 240
Required:
how many gym members are expected to spend 4 min and 36 min on a treadmill today
Solution:
sd</span>² = (∑(x - xbar)²) / N - 1
there are 42 gym members at 4 minutes and 200 gym members in 36 minutes.
Answer:
C. 1.12
Step-by-step explanation:
There are 60' (minutes) in a degree and 60" in a minute meaning that we have (60×60) seconds in a degree.
Therefore to convert seconds to degrees we divide by 3600. and minutes to degrees we divide by 60.
The angle 48°19'23'' can be converted into a decimal as follows
48°+(19/60+23/3600)°
=48.323°
Tan 48.323= 1.12
x + y = 4,000
0.1x + 0.04y = 352
Product A represents x and product B represents y. The first equation is the total number of items the store owner buys. The second equation is cost per item for both products. The above system of equations can be used to determine how much product A and product B the store owner bought.
Remember, |n|≥0 for all real numbers n
so
-|x|=0
times -1
|x|=0
true, x=0, has a solution
|x|=-15
false, can't have negative absolute value
-|x|=12
|x|=-12
false, no negative absolute value
-|-x|=9
|-x|=-9
false, no negative absolute value
-|-x|=-2
|-x|=2
x=2 or -2
true, has solutions
the ones that have no solutions are
|x|=-15
-|x|=12
-|-x|=9
The answer is 8! or 40,320.
8*7*6*5*4*3*2*1=40,320
