Answer:
D
Step-by-step explanation:
A polynomial in standard form has the terms in ascending order.
In other words, the term with the largest degree is on the left, followed by the term with the second largest degree, etc.
The largest term in this polynomial is 2x³. Thus, we need to start with that.
The only choice that starts with 2x³ is choice D.
Thus, choice D is in standard form.
And examining choice D, we see that it is in ascending order all the way through.
Answer:
For this case we want to test if in a certain city in the U.S. are different from the proportion of the general population of young adults in the U.S 0.16 (alternative hypothesis) and the best system of hypothesis are:
Null hypothesis: ![p=0.16](https://tex.z-dn.net/?f=%20p%3D0.16)
Alternative hypothesis:![p \neq 0.16](https://tex.z-dn.net/?f=p%20%5Cneq%200.16)
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if in a certain city in the U.S. are different from the proportion of the general population of young adults in the U.S 0.16 (alternative hypothesis) and the best system of hypothesis are:
Null hypothesis: ![p=0.16](https://tex.z-dn.net/?f=%20p%3D0.16)
Alternative hypothesis:![p \neq 0.16](https://tex.z-dn.net/?f=p%20%5Cneq%200.16)
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 ![z_{calc}](https://tex.z-dn.net/?f=%20z_%7Bcalc%7D)
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 ![p_v >\alpha](https://tex.z-dn.net/?f=p_v%20%3E%5Calpha)
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:
A
Step-by-step explanation:
-2+2=5-5
0=0
the correct answer is A
Answer:
4h + 3
Step-by-step explanation:
- Any number times a variable will always be that number attached to the variable. When it says the product of 4 and h, it means 4 × h. 4 × h = 4h.
- Increased means added or become bigger. So, when it says 4h increased by 3, it means 4h + 3.
- Put them together: 4h + 3
I hope this helps!