Find the height of the triangle.
2 answers:
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The two dot plots are missing, so i have attached it.
Answer:
The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles
Step-by-step explanation:
From the attached image, we are told to compare the means for each plot to the nearest tenth.
Mean = Σx/n
Now, from the image, total number of miles run by the 14 students at the beginning of the school year is;
(1 × 7) + (2 × 8) + (4 × 9) + (4 × 10) + (2 × 11) + (1 × 12) = 133
Mean of miles run at the beginning of the school year = 133/14 = 9.5 miles
Again, from the table, total miles run at the end of the school year = (2 × 8) + (2 × 9) + (4 × 10) + (3 × 11) + (3 × 12) = 143
Mean of miles run at the end of the school year = 143/14 = 10.2 miles
Thus;
The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles
The question is incomplete. Here is the complete question.
Uninhibited growth can be modeled by exponential functions other than . for example, if an initial population P₀ requires n units of time to triple, then the function
models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.
a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form that models the population.
b) What will the population be in 47 days?
c) When wil the population reach 750?
d) Express the model from part (a) in the form .
Answer: a)
b) P(t) = 280 insects
c) t = 74 days
d)
Step-by-step explanation:
a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is
b) In t = 47 days:
P(47) = 280
In 47 days, population of insects will be 280
c) P(t) = 750
Using the property <u>Power</u> <u>Rule</u> of logarithm:
t = 74
To reach a population of 750 insects, it will take 74 days
d) To express the population growth into the described form, determine the constant k, using the following:
A(t) = 3A₀ and t = 30
Use Power Rule again:
k = 0.037
Equation for exponential growth will be: