Answer:
D.) f(x) = 197(1.03)^(7x); grows at a rate of approximately 3% daily
Step-by-step explanation:
The growth equation can be written in terms of a rate compounded 7 times per week:
f(x) = 197×1.25^x = 197×(1.25^(1/7))^(7x)
f(x) ≈ 197×1.0324^(7x) . . . . x represents weeks, a daily growth factor is shown
The daily growth rate as a percentage is the difference between the daily growth factor and 1, expressed as a percentage:
(1.0324 -1) × 100% = 3.24%
The best match is choice D:
f(x) ≈ 197(1.03^(7x)); grows approximately 3% daily
Answer:
Let X the random variable of interest "number of tweets with no reaction", on this case we now that:
And the expected value is given by:

So we expect about 71 tweets with no reaction for this case.
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest "number of tweets with no reaction", on this case we now that:
And the expected value is given by:

So we expect about 71 tweets with no reaction for this case.
Answer:
(A)62.8 square feet
Step-by-step explanation:
Height of the barrels = 5 feet
Radius of the barrels= 2 feet
=3.14
The barrel is in the shape of a cylinder and the area of the label the company needs is that of the round sides(curved surface area) of the cylinder.
Curved Surface Area of a Cylinder=
=2X3.14X2X5
=62.8 square feet
The company need 62.8 square feet of label.
Answer:
A. 6 units left and 9 units down
Step-by-step explanation:
Given:
y = (x – 5)^2 + 7
y = (x +1)^2 - 2
The graph of y = (x – 5)^2 + 7 is a parabola 5 units right and 7 units up
The graph of y = (x +1)^2 - 2 is a parabola 1 unit left and 2 units down
Transformation is the difference in the shift
Transformation = 6 units left and 9 units down.
Therefore, answer A. 6 units left and 9 units down
Hope this will helpful.
Thank you.
The formula is
Fv=p [(1+r)^(t)-1)÷r)
Fv ?
P 5000
R 0.075
T 6. June
Fv=5000 [(1+0.075)^(6)-1)÷0.075]
Fv=36220....answer