Answer:
240 cm², A = 300 cm², and 540 cm²
Step-by-step explanation:
1) The area of a parallelogram is A = bh, so:
A = (20)(12)
A = 240 cm²
2) Similarly, the area of a rectangle is A = bh, so:
A = (15)(20)
A = 300 cm²
3) The composite area is the sum of both the rectangle's area and the parallelogram's area, so:
240 cm² + A = 300 cm² = 540 cm²
Well this is pretty easy.
If there are 8 people, with 6 doughnuts in every box, then do 6*4 to give you 24.
If you know you multiplication (recommend practicing), then you would know that 8 is a multiple of 24. So the second step to this word problem is 24/8 to give you the final answer of:
3 doughnuts / person
Answer:
First statement: Angles 1 and 3 are vertical angles.
First reason: Definition of supplementary
Second Reason: Vertical angles are congruent
Third Reason: Vertical Angles Theorem
Step-by-step explanation:
Hope this helps: Angles that form an X- Type figure are congruent.
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

=> 
=> 