Answer:
The sample mean would most likely be 50 centimeters.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
In this question:
The mean of the population is 50 centimers.
So, by the Central Limit Theorem, the sample mean would most likely be also 50 centimeters.
Well we know a flat line is 180 degrees, and if I'm doing this correctly...
180 - 124 = 56
56 is an acute angle, and that's just what z is!
Hope this helps, I am not totally sure how to do it but I think that's how.
Select the two binomials that are factors of this trinomial.
We got the factors as :
and
Answer:
<em>x</em> = 3
<em>y</em> = -7
Step-by-step explanation:
<em>y</em> = -4<em>x </em>+ 5
<em>y </em>= 3<em>x </em>- 16
<u>Substitute </u><u><em>y</em></u><u> in the first equation with 3</u><u><em>x</em></u><u> - 16</u>
3<em>x</em> - 16 = -4<em>x </em>+ 5
+4<em>x </em>+4<em>x</em>
7<em>x</em> - 16 = 5
+16 +16
7<em>x</em> = 21
÷7 ÷7
<em>x</em> = 3
<u>Then, put </u><u><em>x</em></u><u> = 3 in </u><u><em>y</em></u><u> = -4</u><u><em>x</em></u><u> + 5</u>
<em>y</em> = -4(3) + 5
<em>y</em> = -12 + 5
<em>y</em> = -7
Answer:
f(n) = 2 * 4^n
Step-by-step explanation:
The initial population = a male and a female = 2
The population quadruple every year, this means, a multiplication by 4 every year.
Hence, we have :
f(n) = (Initial population * multiple^years)
f(n) = 2 * 4^n