Answer:
96 grams
Step-by-step explanation:
Each box has 5 strips with 12 capsules
5*12=60 each capsules contains 500 mg of medicine
60*500=3000mg of medicine per box
32*3000=96000mg total weight of the medicine or 96 grams
Using the continuity concept, since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.
<h3>What is the continuity concept?</h3>
A function f(x) is continuous at x = a if it is defined at x = a, and:
![\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Crightarrow%20a%5E-%7D%20f%28x%29%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20a%5E%2B%7D%20f%28x%29%20%3D%20f%28a%29)
The definition of the piecewise function is given by:
Since the definition of the function changes at x = 2, and the domain of the function has no restrictions, this is the only point in which there may be a discontinuity.
The lateral limits are:
.
.
The numeric value is:
f(2) = 1.5 x 2 = 3.
Since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.
More can be learned about the continuity concept at brainly.com/question/24637240
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Probability of a dice rolling a 4 = 1/6
Probability of a coin coming up tails = 1/2
now we multiply the two probabilities together to find what the probability of BOTH occurring at the same time is.
1/6 × 1/2 = 1/12
Answer is D. 1 over 12
Answer:
2870
Step-by-step explanation: mind
P(winning) = 4/52 = 1/13
P(losing) = 48/52 = 12/13
Expected value
= 1/13 ($498) + 12/13 (−$2)
= $498/13 − $24/13
= $474/13
= $36.46