What is the median of the following numbers? 10, 6, 4, 4, 6, 4, 110,6,4,4,6,4,1
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Answer:
The median is 4
Step-by-step explanation:
1) You order the numbers in order from smallest to largest: 1, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 10, 110
2) Next, you just cross out each number from each side. For example, if you cross out 1 at the beginning, you cross out the 110 at the end and if you cross out the 4 (right after the 1) then you cross out 10 which is the next number in line to the end. You carry on like that until you're left with a lone value in the middle
3) That lone value is now your median.
However, if you end up with two values in the middle, you would add them both together and then divide by 2 to get your median.
Answer:
12 is missing
Step-by-step explanation:
Answer:
n=288
Step-by-step explanation:
Rewrite the equation as
√
n
=
18
√
8
−
8
√
18
.
√
n
=
18
√
8
−
8
√
18
To remove the radical on the left side of the equation, square both sides of the equation.
√n
2
=
(
18
√
8
−
8
√
18
)
2
Simplify each side of the equation.
Use
n
√
a
x
=
a
x
n
to rewrite
√
n as n
1
2
.
(
n
1
2
)
2
=
(
18
√
8
−
8
√
18
)
2
Simplify
(
n
1
2
)
2
.
Multiply the exponents in
(
n
1
2
)
2
.
Apply the power rule and multiply exponents,
(
a
m)n
=
a
m
n
.
n
1
2
⋅
2
=
(
18
√
8
−
8
√
18
)
2
Cancel the common factor of 2
Cancel the common factor.
n
1
2
⋅
2
=
(
18
√
8
−
8
√
18
)
2
Rewrite the expression.
n
1
=
(
18
√
8
−
8
√
18
)
2
Simplify.
n
=
(
18
√
8
−
8
√
18
)
2
Simplify
(
18
√
8
−
8
√
18
)
2
Simplify each term.
Rewrite
8 as 2
2
⋅
2
.
Factor
4 out of 8
n
=
(
18
√
4
(
2
)
−
8
√
18
)
2
Rewrite
4 as 2
2
n
=
(
18√
2
2
2
−
8
√
18
)
2
Pull terms out from under the radical.
n
=
(
18
(
2
√
2
)
−
8
√
18
)
2
Multiply
2 by 18
n
=
(
36
√
2
−
8
√
18
)
2
Rewrite
18
as
3
2
⋅
2
.
Factor
9
out of
18
.
n
=
(
36
√
2
−
8
√
9
(
2
)
)
2
Rewrite
9
as
3
2
.
n
=
(
36
√
2
−
8
√
3
2
⋅
2
)
2
Pull terms out from under the radical.
n
=
(
36
√
2
−
8
(
3
√
2
)
)
2
Multiply
3
by
−
8
.
n
=
(
36
√
2
−
24
√
2
)
2
Simplify terms.
Subtract
24
√
2
from
36
√
2
.
n
=
(
12
√
2
)
2
Simplify the expression.
Apply the product rule to
12
√
2
.
n
=
12
2
√
2
2
Raise
12
to the power of
2
.
n
=
144
√
2
2
Rewrite
√
2
2
as
2
.
Use
n
√
a
x
=
a
x
n
to rewrite
√
2
as
2
1
2
.
n
=
144
(
2
1
2
)
2
Apply the power rule and multiply exponents,
(
a
m
)
n
=
a
m
n
.
n
=
144
⋅
2
1
2
⋅
2
Combine
1
2
and
2
.
n
=
144
⋅
2
2
2
Cancel the common factor of
2
.
Cancel the common factor.
n
=
144
⋅
2
2
2
Rewrite the expression.
n
=
144
⋅
2
1
Evaluate the exponent.
n
=
144
⋅
2
Multiply
144
by
2
.
n
=
288
Answer:
The correct option is 4.
Step-by-step explanation:
The given expression is
Simplify the given expression.
![[\because x^mx^n=x^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20x%5Emx%5En%3Dx%5E%7Bm%2Bn%7D%5D)
Therefore correct option is 4.
Answer:
The null hypothesis will be that the average annual donor income is less or equal to $ 100,000
Step-by-step explanation:
The claim is mostly treated as alternate hypothesis .
In this question the claim is given as the average annual donor income has increased therefore it is written as
Ha: u > 100,000
The null hypothesis is reverse of the alternate hypothesis
H0: u ≤ 100,000
The null hypothesis will be that the average annual donor income is less or equal to $ 100,000
