Standard Form: 702.656
Expanded Form: 700+2+0.6+0.05+0.006
1. 79% Take 100 x 21%=21, then subtract 21 from 100 = 79
2. $138 Take 1200 x 11.5%= $138
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
Answer:
4004
Step-by-step explanation:
The number of combinations of choosing r objects from a group of n is nCr.
So the number of ways to get 7, 8, 9, or 10 heads from 13 coin tosses is:
₁₃C₇ + ₁₃C₈ + ₁₃C₉ + ₁₃C₁₀
= 1716 + 1287 + 715 + 286
= 4004