Answer:
Step-by-step explanation:
Pooled proportion
The hypothesis null would be
Alternate can be either not equal to or < or > according to need
Std error for difference of proportions
Hence test statistic = p difference/std error
= 
where p is given as above as combined proportion.
Answer:
y ≥ -2x + 2.5
Step-by-step explanation:
It's kind of hard to tell because no points are given on the graph, but we can first find the b value of 2.5 in the equation y = mx +b as it is the y-intercept.
Using that value, we can also recognize that at one, it looks like the y-value is .5. using our slope formula (change in y / change in x), we can plug in the two points of (0, 2.5) and (1, 0.5) to get a slope of -2.
Now that we have our equation, we can make it an inequality!
Since the graph is shaded upwards, we know it is going to be a greater than symbol, and since the line itself solid and not dotted, we know that the points on the line are also solutions, meaning that it is also equal to the line
Hence, we get the ≥ sign.
Putting it all together, we get our final equation of y ≥ -2x + 2.5 ! :))
I am not sure but my answer came out to 10 different arrangements.
Hi there! The answer is 61.5 square feet.
The area of a rectangle can be found using the formula:
A = L × W = length × width
The area of the floor is
12 × 10 = 120 square feet.
The area of the rug is
6.5 × 9 = 58.5 square feet.
The area of the floor that is not covered by rug is
120 square feet - 58.5 square feet =
61.5 square feet.
The answer is 61.5 square feet.
~ Hope this helps you!
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
