Answer:
see explaination
Step-by-step explanation:
Using the formulla that
sum of terms number of terms sample mean -
Gives the sample mean as \mu=17.954
Now varaince is given by
s^2=\frac{1}{50-1}\sum_{i=1}^{49}(x_i-19.954)^2=9.97
and the standard deviation is s=\sqrt{9.97}=3.16
b) The standard error is given by
\frac{s}{\sqrt{n-1}}=\frac{3.16}{\sqrt{49}}=0.45
c) For the given data we have the least number in the sample is 12.0 and the greatest number in the sample is 24.1
Q_1=15.83, \mathrm{Median}=17.55 and Q_3=19.88
d) Since the interquartile range is Q_3-Q_1=19.88-15.83=4.05
Now the outlier is a number which is greater than 19.88+1.5(4.05)=25.96
or a number which is less than 15.83-1.5(4.05)=9.76
As there is no such number so the given sample has no outliers
For this case, we must find the volume of the perfume bottle, given by the volume of a cone.

Where:
r: It's the radio
h: It's the height
Substituting the values:

Round off:

Thus, the bottle contains 41.80 cubic centimeters of perfume
Answer:
Option C
Answer:
d=10
Step-by-step explanation: step 1: 2/5d-1 = 3/5d-3 add 3 to both sides
+3 +3
step 2: 2/5d+2 = 3/5d subtract 2/5d to both sides
-2/5d -2/5d
step 3: 2 = 1/5d multiply 5/1 to both sides
* 5/1 = *5/1
10 = d
Answer:
x=2/3 because you divide -12 by 3 to get 4 so you need to divide 2 by 3
Step-by-step explanation: