9514 1404 393
Answer:
6
Step-by-step explanation:
The slope of the line between (3, 3) and (4, 9) is given by the slope formula:
m = <average rate of change> = (y2 -y1)/(x2 -x1)
m = (9 -3)/(4 -3) = 6/1
m = 6
The average rate of change on the interval [3, 4] is 6.
Answer:
Its standard deviation is 3.79.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:

So

Its standard deviation is 3.79.
So baically
reresent
s=number of studne tickes bouthgt
a=number of adult tickets bought
300 tickest sold
total=300
a+s=300
value=rate times number of peple
student value=4s
adults value=10a
total value=1950
4s+10a=1950
a. system of equations are
s+a=300
4s+10a=1950
b. solve
s+a=300
4s+10a=1950
a+s=300
multiply by -4
-4s-4a=-1200
add to other eqaution
4s+10a=1950
<u>-4s-4a=-1200 + </u>
0s+6a=750
6a=750
divide 6
a=125
subsiute
s+a=300
s+125=300
subtract 125
s=175
a. s+a=300
4s+10a=1950
b. solution above
175 students
125 aduls
7 1/5 = 7 + 1/5
= 7/1 + 1/5
= (7/1 * 5/5) + 1/5
= 35/5 + 1/5
= 36/5
= 36 ÷ 5
= 7.2