A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. What is the probabilitythat the lock code consists of all even digits?To find the total number of outcomes for this event, find the permutation ofings taken 4 at a time.The total number of outcomes isThe total number of favorable outcomes is a permutation of things taken 4 at a timeThe probability that the lock code consists of all even digits is out of 3,024.

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general 10 months ago 5335

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

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general 10 months ago 7221

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

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general 10 months ago 8074

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?

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general 10 months ago 5477

Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left.A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right.A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left.A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.

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general 10 months ago 4976

A trucking firm suspects that the mean life of a certain tire. it uses is less than 33,000 miles. To check the claim, the firm randomly selects and tests 18 of these tires in gets a mean lifetime of 32, 450 miles with a standard deviation of 1200 miles. At α = 0.05, test the trucking firms claim.a. State Hypothesis and Identify Claim.b. Identify level of significance.c. Choose correct probability distribution, locate critical values.identify rejection region.d. Calculate test statistic.e. Make decisionf. Write conclusion.SHOW ALL YOUR WORK

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general 10 months ago 1066

A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let’s assume the rocket rises vertically and its speed is 600 ft/s when it has risen 3000 ft. (a) How fast is the distance from the television camera to the rocket changing at that moment? (b) If the television camera is always kept aimed at the rocket, how fast is the camera’s angle of elevation changing at that same moment?

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general 10 months ago 1612