Answer:
A.-
D.
E.
Step-by-step explanation:
Like terms must have the same variable, in this case x, and the same exponent, in this case 2. Since the original term is , the like terms will be those that contain , regardless of whether their coefficient or sign is different.
Analyzing the options:
A.-
We have the same variable and the same exponent , so it is a like term.
B.
You have the same variable x but not the same exponent. So it's not a like term of
C.
Same variable but as in the previous case, the exponent is different, it is a 3 and it should be a 2, so it is not a similar or like term.
D.
In this option we do have the , so it is a like term of
E.
It is also a like term because it contains the .
In summary the like terms are:
A.-
D.
E.
Answer:
<u>Given circle:</u>
The center is at (4, 0) and the radius is 5 units
<u>Lets find the distance from (7, 2) to the center of the circle:</u>
- <u />
Since d < 5, the point (7, 2) lies <u>inside</u> the circle
Answer:
Correct option: (D).
Step-by-step explanation:
The hypothesis for testing whether there is a difference between the two population proportions is:
<em>H₀</em>: The population proportion of students who drive to school for R and S is same, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: The population proportion of students who drive to school for R was greater than that for S, i.e. <em>p</em>₁ > <em>p</em>₂.
The difference between the two sample proportion is,
And the <em>p</em>-value of the test is:
<em>p</em>-value = 0.114
The <em>p</em>-value is well defined as the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.
We reject a hypothesis if the <em>p</em>-value of a statistic is lower than the level of significance <em>α</em>.
The <em>p-</em>value of 0.114 indicates that, assuming the null hypothesis to be true, the probability of obtaining a difference between the two sample proportions of at least 0.07 is 0.114.
The correct option is (D).
8.25 or 9 .....................................................................................