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MATH SOLVE
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Ian is a phycologist interested in determining the proportion of algae samples from a local rivulet that belonged to a particular phylum. A random sample of 50 alga were obtained and each was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria.Without relying on any previous knowledge Ian wanted to estimate the proportion that were cyanobacteria with a margin of error of at most 0.01 in a 99% confidence interval. How large a sample size would be required?
General
2 months ago
P(x)P(x)P, (, x, )is a polynomial. P(x)P(x)P, (, x, )divided by (x+7)(x+7)(, x, plus, 7, )has a remainder of 555. P(x)P(x)P, (, x, )divided by (x+3)(x+3)(, x, plus, 3, )has a remainder of -4−4minus, 4. P(x)P(x)P, (, x, )divided by (x-3)(x−3)(, x, minus, 3, )has a remainder of 666. P(x)P(x)P, (, x, )divided by (x-7)(x−7)(, x, minus, 7, )has a remainder of 999. Find the following values of P(x)P(x)P, (, x, ). P(-3)=P(−3)=P, (, minus, 3, ), equals P(7)=P(7)=P, (, 7, ), equals
General
2 months ago
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!!!Aurora is selling tickets to a carnival. The function f(x) = 0.5x represents the amount of money Aurora earns per ticket, where x is the number of tickets she sells. The function g(x) = 8x represents the number of tickets Aurora sells per hour, where x is the number of hours she works. Find f(g(x)), and explain what it represents. a. f(g(x)) = 4x, which represents the money Aurora made in dollars per hour b. f(g(x)) = 4x, which represents the number of tickets Aurora sold per hour c. f(g(x)) = 16x, which represents the money Aurora made in dollars per hour d. f(g(x)) = 16x, which represents the number of tickets Aurora sold per hour
General
2 months ago
Which of these is the algebraic expression for "3 times the sum of 2 and y?" (1 point) 3(2 + y) 3 ⋅ 2 + y 2 + 3 ⋅ y 2(3 + y)
General
2 months ago
A random sample of 85 group leaders, supervisors, and similar personnel at General Motors revealed that, on average, they spent 6.5 years in a particular job before being promoted. The standard deviation of the sample was 1.7 years. Construct a 95% confidence interval.
General
2 months ago
Wendy picks a marble at random, puts it back, and then picks another marble at random.Are these two events dependent or independent?dependentindependent
General
2 months ago
Can anyone answer this question for me and also if you’re able to give me the explanation on how to solve it also. PLEASE.
General
2 months ago
QUICK HELP: The population of the Tallahassee metropolitan area was 385,639 at the end of 2017 with a growth rate of 2.73%. Using the exponential growth formula, y=b(1+r)^t, sketch the graph that represents the situation. Label the axes, y-intercept and the point that represents the projected population at the end of 2025.
General
2 months ago
A flagpole that is 40ft in height casts a shadow that is 25ft in length. If a nearby building is 200ft tall, and the sun hits it at the same angle as the tree, what is the length of the building’s shadow?
General
2 months ago
A normally distributed population has a mean of 475 and a standard deviation of 60. a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 435.b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 501.
General
2 months ago
Jerome went on a hike. He climbed three-fourths of a mile in two-thirds of an hour. What was his hiking speed in miles per hour?
General
2 months ago
A 25 ft ladder is placed 7 feet from the wall. How high up the wall will the ladder reach?A.18ftB.20ftC.22ftD.24ft
General
2 months ago
There are two prominent, nationally circulated newspapers, The Wall Street Journal and USA Today. Among all libraries across the country, 45% subscribe to The Wall Street Journal and 40% subscribe to USA Today, while only 25% subscribe to both The Wall Street Journal and USA Today. If a library is selected at random, what is the probability that it subscribes to The Wall Street Journal but not USA Today?
General
2 months ago
HELP PLEASETranslate the answer, T2 = A3, into words: The BLANK of the orbital period, T, of aplanet is equal to the BLANK of the average distance, A, of the planet from the Sun.Square Square RootCube
General
2 months ago
One focus of a hyperbola is located at (−1, 7). One vertex of the hyperbola is located at (−1, 5). The center is (−1, −3). What is the equation of the hyperbola?
General
2 months ago
The two-way table shows the results of a survey about high school students' music preferences. Which graph correctly displays the relative frequencies of the three types of music shown in the two-way table?
General
2 months ago
You flip a coin 10 times. Knowing that the event satisfies the requirements for a binomial distribution, find the probability that exactly 7 of the outcomes are heads.
General
2 months ago
How can the effect of an outlier be overcome in an experiment that examines a random sample of a population? A) Discard 50% of the data. B) Examine a larger random sample of the population. C) Examine a smaller random sample of the population. D) There is no way to overcome the effect of an outlier.
General
2 months ago
Karen is buying pens and pencils for the new school year. She wants to have no more than 25 writing utensils in all. She also wants the number of pencils to be greater than or equal to the square of 3 less than the number of pens. Create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.
General
2 months ago
Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 12x – 3y = 6 2x – y = 2 A) multiply second equation by 6, solution (2,0)B) multiply second equation by 6, solution (-2,0)C) multiply second equation by -6, solution (0,2)D) multiply second equation by -6, solution (0,-2)
General
2 months ago
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