Answer:
B
Just multiply by 4 to isolate x; because 4 isn't negative, u keep the sign the same.
Answer:
1092
Step-by-step explanation:
We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function . We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.
We will use average rate of change formula to solve our given problem.
Upon substituting our given values, we will get:
Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.
Answer:
The first option
Step-by-step explanation:
In the image, we can notice that NQ is longer than PQ, similar to how JH is longer than NJ. Thus, NQ must be aligned with JH and PQ with JN. As PN and HN are clearly the longest for each triangle, those must be aligned as well.
All of the responses have NP and NH aligned.
The last response does not have NQ aligned with JH.
The second and third do not align PQ and JN.
The first option is our answer.
Answer:
a) A. The population must be normally distributed
b) P(X < 68.2) = 0.7967
c) P(X ≥ 65.6) = 0.3745
Step-by-step explanation:
a) The population is normally distributed having a mean () = 64 and a standard deviation () =
b) P(X < 68.2)
First me need to calculate the z score (z). This is given by the equation:
but μ=64 and σ=19 and n=14, and
Therefore:
From z table, P(X < 68.2) = P(z < 0.83) = 0.7967
P(X < 68.2) = 0.7967
c) P(X ≥ 65.6)
First me need to calculate the z score (z). This is given by the equation:
Therefore:
From z table, P(X ≥ 65.6) = P(z ≥ 0.32) = 1 - P(z < 0.32) = 1 - 0.6255 = 0.3745
P(X ≥ 65.6) = 0.3745
P(X < 68.2) = 0.7967
Plug in -3 for x
f(-3) = 2(-3) - (-3 + 6)
f(-3) = -6 - (3)
f(-3) = -9
Solution: f(-3) = -9