82 Find the circumference of a circle with a radius
of 10cm.

A. 6.28 m
B. 62.8m
C. 628m
D. 6280m

0.628 m (This is the correct answer but I cant find it in your options)

Step-by-step explanation:

Radius = 10 cm = 0.1 m

Now, The circumference:

=> Circumference =

=> C = 2(3.14)(0.1)

=> C = 0.628 m

B. 62.8m

Step-by-step explanation:

C= 2πr= 2*3.14* 10 m= 62.8 m

Assumed radius is 10 m as the answer options are in metre

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s

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;