Explanation:
The sample mean is not always equal to the population mean but if we take more and more number of samples from the population then the mean of the sample would become equal to the population mean.
The Central Limit Theorem states that we can have a normal distribution of sample means even if the original population doesn't follow normal distribution, But we have to take a lot of samples.
Suppose a population doesn't follow normal distribution and is very skewed then we can still have sampling distribution that is completely normal if we take a lot of samples.
In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:<span>
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given
values above.
<span>a3 = 20.5 and a8 = 13
</span>
an = a1 + (n-1)d
20.5 = a1 + (3-1)d
</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5
The 11th term is calculated as follows:
a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 =
8.5</span>
Answer:
72 maneiras
Step-by-step explanation:
O que acontecerá aqui é que um de cada tipo de roupa será selecionado.
Das 6 camisas, 1 será selecionada O número de maneiras pelas quais podemos fazer isso é 6C1 = 6
Das saias também, ela estará selecionando uma O número de maneiras que isso pode ser feito é 4C1 = 4
O terceiro é selecionar um par de sapatos de 3 e isso seria 3C1 = 3
assim o número de maneiras pelas quais ela pode fazer as seleções é 6 * 4 * 3 = 72 maneiras
Answer:
B) 
Step-by-step explanation:
First simplify the radical on the right.
is equal to 
, because 25 * 3 is 75, so we can separate the square roots into the product of these two square roots.
Then we know 
is just equal to 25, which means the simplified version of is 
.
Then we can use this new representation to finish solving.
, so the answer would be B
Answer:
Step-by-step explanation:
Let b be the number of balloons and h be number of party hats.
We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.
We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.
Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:
Therefore, the equation represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.
