Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A linear inequality 4m +6<2
We need to find the solution set for the given inequality . So , on solving it , we have ,
4m + 6 < 2
4m < 2 - 6
4m < -4
m < -4/4
m < -1
Hence m can have all values less than -1. Therefore the final answer is ,
<u>Hence </u><u>m </u><u>can </u><u>have </u><u>all </u><u>values </u><u>less </u><u>than</u><u>-</u><u>1</u><u>.</u>
Answer: 11 x 13 feet
Step-by-step explanation:
Normally, a question such as this allows one to assume that the wall on the neighbor's garden will also serve as a wall on our garden, but the sentence ". . . and the fence must surround all four sides . . ." leads to the conclusion that the 48 feet must include the side next to the neighbor. That's waht tis assumes.
The diagram shows a rectangle, so the neighbor's length of 11 feet must be the same on the opposite side. That leaves (48 - 22) = 26 feet for the two sides. 26/2 = 13 feet each side. This leads to a garden dimesion of 11 x 13 feet.
Answer:
C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.
Explanation:
The following multiple choice responses are provided to complete the question:
A) The Pearson correlation results should be reported because it shows a stronger correlation with a smaller p-value (more significant).
B) The Pearson correlation results should be reported because the two variables are normally distributed.
C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.
D) The Spearman correlation results should be reported because the p-value is closer to 0.0556.
Further Explanation:
A count variable is discrete because it consists of non-negative integers. The number of polyps variable is therefore a count variable and will most likely not be normally distributed. Normality of variables is one of the assumptions required to use Pearson correlation, however, Spearman's correlation does not rest upon an assumption of normality. Therefore, the Spearman correlation would be more appropriate to report because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.
Answer:
d. No, the conditions for normality have not been met because the sample size for the pennies is not large enough and no information is given about the distributions of the populations.
Step-by-step explanation:
In this example, we learn that the sample taken of pennies was of 25, while the sample of quarters was of 35. According to the central limit theorem, a sample must be equal to or larger than 30 for the theorem to hold. The theorem states that when random variables are added, they tend towards a normal distribution even if the original variables themselves are not normally distributed. In this question, the sample of pennies is not large enough for the theorem to hold. On top of this, we have no information about the distribution of the populations. Therefore, the conditions for normality have not been met.
Answers:
A. If two angles are linear pairs, the angles are supplementary. The two angles are linear pairs. Therefore, the angles are supplementary.
B. If an object is a square, it is a parallelogram. The object is a square. The object is a parallelogram.
C. If it is snowing, the play will be cancelled. It is snowing. Therefore, the play is cancelled.
These are right.