We would have two circles of 5cm diameter each, and a rectangle of the length pi*diameter and 2cm, so lets add them:
total = 2circles + rectangle
total = 2(2*pi*(5/2)^2) + pi*diameter*heigth
= 4*pi*(2.5)^2 + pi*5*2
= 109.9
that is the surface area of a bar soap 109.9 cm^2
Answer:
Step-by-step explanation:
Given
Company Produces and sells 211600 boxes of T-shirt each year
Fixed cost =$ 400
Additional cost = $ 3 per box
storage cost =$ 2
let x be the no of production run
therefore
Holding cost per year 

yearly ordering cost
Total cost C(x)
differentiate C(x) w.r.t to x we get

Put
to get max/min value




therefore 46 runs must be performed
Answer:
a. The average number of hashtags used in a social media post from a marketing agency is different than 7 hashtags.
Step-by-step explanation:
A social media platform states that a social media post from a marketing agency has 7 hashtags, on average.
This means that at the null hypothesis, we test if the mean is 7, that is:

A digital marketing specialist studying social media advertising believes the average number of hashtags used in a post from a marketing agency is different than the number stated by the social media platform.
Keyword is different, so at the null hypothesis, we test if the mean is different of 7, that is:

Thus, the correct answer is given by option a.
Answer:
29 minutes
Step-by-step explanation:
Given



Required
Determine the number of minutes (t) that he was on the trampoline.
This can be expressed as:

Where t represents the number of minutes
Substitute values for Total, Entrance Fee and Amount per minute


Solving further to get the value of t, we have:



