Riley is swinging on a swing at the playground. Let trepresent time, in seconds, and let $(t) represent Riley's horizontal distance, in inches, from her starting position, as shown in the table.
t
0 0.75
1.5
2.25 3
3.75
4.5
5.25
6 6.75
f(t) 0 38.9
55
38.90 -28.9
-55
-38.90 38.9
Note: When Riley swings in front of the starting position, f(t) is positive, and when Riley swings behind the starting position, f(t) is negative.
From the table, Riley is moving forward on the interval (0,
It takes Riley seconds to swing forward, back, and then return to her starting position.
Riley reaches a maximum distance of
inches from her starting position

a

b

d

step-by-step explanation:

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;