Answer:
D. Psychopathy
Verify Identities:
sec²a=1/1-sin²a
Answer: see proof below
Explanation:
[tex]sec^2\alpha=\dfrac{1}{1-\sin^2 \alpha}[/tex]
LHS → RHS
[tex]sec^2\alpha\qquad \text{Given}\\\\\dfrac{1}{cos^2\alpha}\qquad \text{sec is reciprocal of cos}\\\\\\\dfrac{1}{1-sin^2\alpha}\qquad \text{Identity}:cos^2\alpha + sin^2\alpha = 1\\\\\\\dfrac{1}{1-sin^2\alpha}=\dfrac{1}{1-sin^2\alpha}\quad \checkmark[/tex]
A student remembers a long list of outdoor sculptures by imagining each piece on top of a different campus building, along Campus Drive. What memory strategy is being used?
Answer:
The method of loci is being used by this student.
Explanation:
The loci method is a strategy to memorize better that consists of mentally associating an image with a certain place, that is, it consists of visualizing what we want to memorize and the “place” in which we keep it, establishing relationships between the contents and the images we generate from them. This implies that each content to be memorized is going to become a mental image that can be “seen” in the memory palace, with its spatial location and the rest of the objects (contents) related to it. The student has associated specific data with specific three-dimensional spaces, in this way it will be easier to remember it and to be able to use the information in an easy and accessible way.
Most US adults have social ties with a large number of people, including friends, family, co-workers, and other acquaintances. It is nearly impossible for most people to reliably list all the people they know, but using a mathematical model, social analysts estimate that, on average, a US adult has social ties with people.1 A survey of randomly selected US adults who are cell phone users finds that the average number of social ties for the cell phone users in the sample was with a standard deviation of . Does the sample provide evidence that the average number of social ties for a cell phone user is significantly different from , the hypothesized number for all US adults?
Hello. This question is incomplete. The full question is:
Most US adults have social ties with a large number of people, including friends, family, co-workers, and other acquaintances. It is nearly impossible for most people to reliably list all the people they know, but using a mathematical model, social analysts estimate that, on average, a US adult has social ties with 634 people.1 A survey of 1700 randomly selected US adults who are cell phone users finds that the average number of social ties for the cell phone users in the sample was 664 with a standard deviation of 778. Does the sample provide evidence that the average number of social ties for a cell phone user is significantly different from 634, the hypothesized number for all US adults?
Answer:
The sample does not provide evidence that the average number of social ties for a cell phone user is significantly different from 634.
Explanation:
First, it is necessary to find out if the average number of social connections for a cell phone user is significantly different from 634 people. For this, we will consider:
H₀: The average number of social connections for a cell phone user is 634 people. For this we will use μ = 634.
Hₐ: The average number of social connections for a cell phone user is different from 634 people. For this we will use μ ≠ 634.
After these considerations we will adopt the following information:
n = 1700
'X = 664
SD = 778
We can see that the size of the sample is very large and as the population is unknown, we will use the concepts of the central limit theorem and adopt the average sample distribution in the same way as the normal distribution. For this reason, a single mean z test will be appropriate in this case.
After understanding the information, we can calculate the test value. For this it will be necessary to use the formula:
z= ('x-μ)/(SD/√n)
z =(664-663)/(778/√1700) = 1.59
When finding this value, you must take into account whether the p-value of the test is less than the significance level.
The p-value for the two-tailed test is found by the formula:
p - value = 2 * P (Z> 1.59)
p - Value = 2 [1-P (Z> 1.59)
p- value = 2 * (1-0.944) = 0.112
The p-test reveals a very high value in relation to the level of significance and shows that the null hypothesis must be rejected. Based on this, we can say that we have no factor that proves that the average number of social connections for a cell phone user is different from 634 people.