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:
Probability=0.8413
So option A is correct.
Step-by-step explanation:
In order to find the probability that the criminologist will classify all of them as delinquents, we will proceed as following:
We are required to find:
P(m>=75|m-N(80,5))
it can be written as:
1-P(m<75|m-N(80,5))
P(m<75|m-N(80,5)) can be solved as
Z=(75-80)/5
Z=-1
Probability = 1-Z(-1)
Fromm distribution table:
Probability=1-0.15866
Probability=0.8413
So option A is correct.
Answer:
I am on the same one and I think it is C
Step-by-step explanation:
I am not entirely positive but I am leaning towards this one.
Answer:
$3.75
Step-by-step explanation:
multiply 25 by the discount amount of .15
Mrs. Patel had $75.60 left when she exited the supermarket because 25% + 12% = 37%. When you take 37% of 120, (.37)(120), you get $44.4. That is how much she spent. Lastly, to get how she has now you must do 120 - 44.4 to get a grand total of $75.60. Hope this helps!
