the coefficient for the first term is 1, the next is 11 and so on... now, notice, the elements of the binomial, the 1st element starts off with 11, and every term it goes down by 1, the 2nd element starts off at 0, and goes up by 1 in each term.
now, to get the next coefficient, you simply, "get the product of the current coefficient and the exponent of the 1st element, and divide that by the exponent of the 2nd element in the next term".
for example, how did we get 165 for the 4th term.... well (55*9)/3
how did we get 462 for the 6th term? well (330*7)/5.
and then you can just expand it from there.
Answer: C
Step-by-step explanation:
Answer:
5 Months start with"J" or "M"
January March May June July
So the probability of a randomly selected month beginning with J or M is
5 / 12
Step-by-step explanation:
Answer:
Expression is '98 divided by 0.005' i.e. 
.
Step-by-step explanation:
We have that,
The quotient of 8 divided by 0.001 is given by,
= 
= 8000.
It is required to find a division expression having quotient greater than 8000.
Let us consider,
'98 divided by 0.005'
i.e.
i.e. 
i.e. 98 × 200
i.e. 19,600
Thus, the get the quotient of the new expression 19,600 > 8000.
Hence, the required expression is '98 divided by 0.005' i.e. .
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean given
represent the population standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
