Answer:
The odd function is written f (x) = (x) and rounds the odd numbers to the nearest integer.
The graph of f (x) = (x) includes the point (17/4), (7/2), (15/6)
Step-by-step explanation:
The odd function seeks to round odd numbers, with fractions of first odd numbers and then even by adding 3 to them.
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

=> 
=> 
Using equation of motion.
S = ut + (1/2)gt²
Where S = Height, t = time, g = acceleration due to gravity = 9.8 m/s²
time, t = 8 seconds
Since it was dropped from height, initial velocity, u = 0
S = 0*t + (1/2)gt²
S = (1/2)gt²
S = (1/2)*9.8*8² = 4.9 * 8 * 8 = 313.6
Therefore the ledge is 313.6 m tall.
Answer:
(a) A = 700×1.015^t
(b) 36.2 years
Step-by-step explanation:
(a) Each year, the account value is multiplied by (1 + 1.5%) = 1.015. Repeated multiplication is signified using an exponent. In t years, when the account has been multiplied by 1.015 t times, the account value will be ...
A = $700×1.015^t
__
(b) You want to find t when A=$1200. Logarithms are involved.
1200 = 700×1.015^t . . . . use 1200 for A
1200/700 = 1.015^t . . . . . divide by 700
log(12/7) = t×log(1.015) . . . . . take logarithms
log(12/7)/log(1.015) = t ≈ 36.2 . . . . divide by the coefficient of t
It will take about 36.2 years for the account balance to reach $1200.