Step-by-step explanation:
Maths
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if 2
2008
−2
2007
−2
2006
+2
2005
=k ⋅2
2005
then the value of k is equal to
Answer
Correct option is
B
3
2
2008
−2
2007
−2
2006
+2
2005
=k⋅2
2005
⇒[2
2008
−2
2006
]−[2
2007
−2
2005
]=k⋅2
2005
⇒2
2006
(2
2
−1)−2
2005
(2
2
−1)=k⋅2
2005
⇒3(2
2006
−2
2005
)=k⋅2
2005
⇒3[2
2005
(2−1)]=k⋅2
2005
⇒3(2
2005
)=k⋅2
2005
On comparing, we get
k=3
Hence, Option B is correct.
Answer: THIRD OPTION.
Step-by-step explanation:
Since
, then
is:

In order to find which table represents
when
, you can follow these steps:
1. Substitute
into the function
:

2. Substitute
into the function
:

3. Substitute
into the function
:

Notice that those ouput values (for
and
) matches with the table provided in the third option. That table represents
when
:
A method you can use to figure this out is to look it up on the Internet and write in your own words. Also, if there is a paper that showed you what the answer was, you can put the definition in your own words. This is 2 significant strategies to success!!
The volume of the cone with radius r=14 cm and height h=15 cm is,

Each day 40 cm^3 is subtracted from the volume. So the volume of honey left after [d] number of days would be the starting volume minus 40 times number of days passed.


It asks when the volume will be empty, The volume left is zero after how many days?

d=76.93 days, or 80 days rounding to whole numbers.
Answer:
Option d: Your friend is wrong, the statement should be revised as "the probability of obtaining a sample mean of 105 or more extreme from a random sample of n = 40 when the true population mean is assumed to be 100."
Step-by-step explanation:
We are given;
Null hypothesis; H0 : μ = 100
Alternative hypothesis; HA : μ ≠ 100
Sample mean; x = 105
Sample standard deviation; s = 10
Sample size; n = 40
p - value = 0.0016
Looking at the options, the first option is wrong because the sample size is not irrelevant her since it's more than 30.
The second option can't be correct because they just told us he is right without giving explanation.
The third option is wrong because 100 is the true population mean and not 150.
Thus we are left with Option D as the correct answer.