Answer:
A.The confidence interval based on the sample of 64 data values will be more precise.
Step-by-step explanation:
Given that we take two different random samples from the same population of test scores.
The population mean and standard deviation are unknown.
The first sample has 25 data values. The second sample has 64 data values.
When sample sizes grow the confidence interval will be narrower this is due to the reason that margin of error depends on standard error which in turn is inversely proportional to square root of sample size.
So we find that A.The confidence interval based on the sample of 64 data values will be more precise.
Answer:
180
Explanation:
20 x 9 = 180
What conjecture? please tell me
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
I don't know what your choices are, but I did the questions for you.
R=D/2, R=12, R=radius,
SA= 4 times 3.14 12 times 12, so,
SA=1809.557368, if you round it to two decimal places, it'll be,
1809.56, so the answer is 1809.56in. squared.
