Answer:
Step-by-step explanation:
Given is a list of prices in dollars for one night at different hotels in a certain region
To find range, variance and std deviation.
Mean 155.75
Standard Error 23.80782434
Median 150
Mode #N/A
Standard Deviation 67.33869616
Sample Variance 4534.5
Kurtosis -1.593759971
Skewness 0.344624422
Range 172
Minimum 86
Maximum 258
Sum 1246
Count 8
Thus we find range = 172 $. This gives an idea about the lowest and highest difference.
Variance = Average of squares of deviations from the mean= 4533.329 $^2gives us an idea about the dispersion of data. This helps to have an idea about the price rise or low in different hotels
Std deviation is square root of variance 67.33 $ shows an idea about the dispersion and also coefficient of variation as a ratio of mean to std deviation.
Answer:
√
8
≈
3
Explanation:
Note that:
2
2
=
4
<
8
<
9
=
3
2
Hence the (positive) square root of
8
is somewhere between
2
and
3
. Since
8
is much closer to
9
=
3
2
than
4
=
2
2
, we can deduce that the closest integer to the square root is
3
.
We can use this proximity of the square root of
8
to
3
to derive an efficient method for finding approximations.
Consider a quadratic with zeros
3
+
√
8
and
3
−
√
8
:
(
x
−
3
−
√
8
)
(
x
−
3
+
√
8
)
=
(
x
−
3
)
2
−
8
=
x
2
−
6
x
+
1
From this quadratic, we can define a sequence of integers recursively as follows:
⎧
⎪
⎨
⎪
⎩
a
0
=
0
a
1
=
1
a
n
+
2
=
6
a
n
+
1
−
a
n
The first few terms are:
0
,
1
,
6
,
35
,
204
,
1189
,
6930
,
...
The ratio between successive terms will tend very quickly towards
3
+
√
8
.
So:
√
8
≈
6930
1189
−
3
=
3363
1189
≈
2.828427
Answer:
490
Step-by-step explanation:
Let us first count the handshakes between two gremlins. There are 20 gremlins, so there must be 20*19/2=190 handshakes between two gremlins, making sure to divide by two to avoid over-counting.
There are 15 imps that shake hands with each of the 20 gremlins, which makes 15* 20 = 300 handshakes between imps and gremlins.
Adding these up, you have $300 + 190 = 490 total handshakes.
Hope this helps!
Answer:
The answer already exists in your question...
That is correct expansion
Add the whole numbers, including the decimals, then the variables like y and x.
