32. (a) For an even function, f(x) = f(-x). Given f(5) = 3, we know f(-5) = 3.
Therefore (-5, 3) is also on the graph.
For an odd function, f(-x) = -f(x). Given f(5) = 3, we know f(-5) = -3.
Therefore (-5, -3) is also on the graph.
33. f(-x) = -f(x). The function is odd.
34. f(-x) = x/(x-1) ≠ -f(x) ≠ f(x). The function is neither even nor odd.
35. f(-x) = f(x). The function is even.
We can solve this problem by the rule of three.
A complete pie chart has 360º.
45º----------------------6 people
360º-------------------- x
x=(360º*6 people) / 45º=48 people.
Answer; 48 people.
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
Yes the researcher can conclude that the supplement has a significant effect on cognitive skill
b
c
The result of this hypothesis test shows that there is sufficient evidence to that the supplement had significant effect.The measure of effect size is large due to the large value of Cohen's d (0.5778 > 0.30 )
Step-by-step explanation:
From the question we are told that
The sample size is n=16
The sample mean is 
The standard deviation is 
The population mean is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as
=> 
=> 
Generally the p-value is mathematically represented as
From the z-table
=> 
=> 
From the obtained values we see that 
Decision Rule
Reject the null hypothesis
Conclusion
There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults
Generally the Cohen's d for this study is mathematically represented as
=> 
=>
Answer:
Step-by-step explanation:
Since he spends 8.75 on lunch, we subtract that from the total, 50 dollars. When we subtract that, we get 41.25 left. The variable is not clear for the sweatshirt cost and how much money you can spend on it, so I will call it x. Since 41.25 is the total amount you can spend on a sweatshirt, anything exactly that amount or less is okay. So, our answer is x is less than or equal to 41.25. (Less than or equal to is the < with a slash underneath)
<u>Answer:</u>
BC = 18 cm
<u>Step-by-step explanation:</u>
As we can see from the diagram:
AB + BC + CD = AD
⇒ 10 cm + BC + 11 cm = 39 cm
⇒ BC + 21 cm = 39 cm
⇒ BC = 39 cm - 21 cm
⇒ BC = 18 cm
