Answer:
Option B
Step-by-step explanation:
It's given that p + q has a value of
So the equation representing the relation will be,
p + q = --------(1)
Value of p is
p =
By substituting the value of p in the equation (1),
q =
q =
Therefore, Option B will be the correct option.
Answer:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
See explanation below.
Step-by-step explanation:
Develop the null and alternative hypotheses for this study?
We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:
(1)
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Let's assume that the calculated statistic is
Since is a right tailed test test the p value would be:
And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that
And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:
b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.
Answer:
Reflection over the x- axis
Step-by-step explanation:
Answer:
We have been given equation as .
Now we need to graph the given equation ..
Clearly it is not linear as equation is not of the form . So we need to find some points on given equation . by plugging some random values of x like -5,-3,1,... etc.
for x=-5, we get:
.
Hence first point is at (-5,-2). Similarly we can find more points and graph those points.
x can't be 0 as division by 0 is not defined so it will have vertical asymptote at x=0.
Since degree of numerator is less than degree of denominator so y=0 will be horizontal asymptote.
Now join those points by a curved line to get final graph.
Answer:
for the first one he will get $51
the second one is £2.70
Step-by-step explanation: