Answer:
P-value=0.1778.
The null hypothesis is not rejected.
There is not enough evidence to support the claim that the population is not in Hardy-Weinberg equilibrium.
Step-by-step explanation:
We have to perform a hypothesis testing on the actual population proportion.
The claim is that the population is not in Hardy-Weinberg equilibrium. That is that the proportion of organisms that are type AB is not 0.12.
Then, the null and alternative hypothesis are:
The significance level is assumed to be 0.05.
The sample size is 300.
The sample proportion is p=0.147
The standard deviation is:
Now, we can calculate the z-statistic as:
The P-value for a two-tailed test is:
The P-value is bigger than the significant level, so the effect is not significant and the null hypothesis is not rejected.
There is not enough evidence to support the claim that the population is not in Hardy-Weinberg equilibrium.
After calculation, the composite function f(g(0)) returns the value 2 as the response.
Given, the values of the functions are:
f(x) = √₋x₊1 and g(x) = ₋x₋3
we need to find f(g(0)) = ?
F of g of x is another name for a composite function. Normal representations include f(g(x)) or (f g)(x), which denote that x = g(x) should be used in place of f(x). While the function g (x) is referred to as an inner function, the function f (x) is referred to as an outer function.
It means that every instance of an x in the function f is replaced with the function g(x).
∵ g(x) = ₋x₋3 so we can substitute this in the following expression:
g(0) = -(0) ₋ 3
g(0) = ₋3
Now in place of g(0) we can write ₋3, hence the changed expression becomes:
f(g(0)) = f(₋3)
= √₋(₋3)₊1
= √4
∴ f(g(0)) = 2
Hence we get the calculated function value as 2.
Learn more about "Functions" here-
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To find the decimal equivalent, you would just divide the numerator by the denominator.
67/100: If you divide it, it would be 0.67, and so on.
1/100: 0.01
81/1000: 0.081
9 6/10: 9.6
3 21/100: 3.21
5 3/100: 5.03
4 77/1000: 4.077
X + y - z = 9
3x - y + z = -13
____________(+)___
4x = -4 => x = -1 => y - z = 10;
But, x - 2y + 4z = -1 => -2y + 4z = 0 => -y + 2z = 0;
y - z = 10
-y + 2z = 0
_________(+)__
/ z = 10 => y = 20 .
A. There is one solution. The solution is ( - 1, 20, 10 ).
