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MATH SOLVE
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the jurassic zoo charges $5 for each adult and $3 for each child the total bill for the people from school trip was $420 how many adults and how many child went to the zoo
General
4 months ago
There are two misshapen coins in a box; their probabilities for landing on heads when they are flipped are, respectively, .4 and .7. One of the coins is to be randomly chosen and flipped 10 times. Given that two of the first three flips landed on heads, what is the conditional expected number of heads in the 10 flips?
General
4 months ago
Dullco Manufacturing claims that its alkaline batteries last at least 40 hours on average in a certain type of portable CD player. But tests on a random sample of 18 batteries from a day's large production run showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours. To test DullCo's hypothesis, the test statistic is:Select one:a. -2.101b. -1.980c. -1.960d. -1.728
General
4 months ago
A marketing firm is studying consumer preferences for winter fashions in four different months. From a population of women, 18-21 years of age, a random sample of 100 women was selected in January. Another random sample of 100 women was selected in March. Another random sample of 100 women was selected in June. Another random sample of 100 women was selected in September. A) The sample size was 4. B) The sample size was 100. C) The sample size was 400. D) The sample size was 1.
General
4 months ago
The acceleration due to gravity, g, is given by g=GMr2, where M is the mass of the Earth, r is the distance from the center of the Earth, and G is the uniform gravitational constant. (a) Suppose that we increase from our distance from the center of the Earth by a distance Δr=x. Use a linear approximation to find an approximation to the resulting change in g, as a fraction of the original acceleration: Δg≈ g× (Your answer will be a function of x and r.) (b) Is this change positive or negative? Δg is (Think about what this tells you about the acceleration due to gravity.) (c) What is the percentage change in g when moving from sea level to the top of Mount Elbert (a mountain over 14,000 feet tall in Colorado; in km, its height is 4.29 km; assume the radius of the Earth is 6400 km)? percent change =1
General
4 months ago
Find a numerical value of one trigonometric function of x for cos^2x+ 2sin x-2=0
General
4 months ago
A private plane traveled from Seattle to a rugged wilderness, at an average speed of 312312 mph. On the return trip, the average speed was 364364 mph. If the total traveling time was 44 hours, how far is Seattle from the wilderness?
General
4 months ago
A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2-6 year of age. If 12 children are analyzed:a.What is the probability that at least 3 are hyperlipidemic?
General
4 months ago
Rewrite the equation −5x2+3x+5y2+5y−3z2+4z+12=0 −5x2+3x+5y2+5y−3z2+4z+12=0 in cylindrical and spherical coordinates. NOTE: write any greek letters using similar standard characters - i.e., for θθ use t, for rhorho use r, for ϕϕ use f, etc.
General
4 months ago
A rectangular area adjacent to a river is fenced in; no fence is needed on the river side. The enclosed area is 1500 square feet. Fencing for the side parallel to the river is $ 10 per foot, and fencing for the other two sides is $ 3 per foot. The four corner posts are $ 20 each. Let x be the length of one of the sides perpendicular to the river.a) Write a function C(x) that describes the cost of the project.b) What is the domain of C?
General
4 months ago
Mars Inc. claims that they produce M&Ms with the following distributions:Brown 30% Red 20% Yellow 20%Orange 10% Green 10% Blue 10%How many M&Ms must be sampled to construct the 97% confidence interval for the proportion of red M&Ms in that bag if we want a margin of error of ± .15?a) 33b) 36c) 34d) 26e) 25f) None of the above
General
4 months ago
A production process fills containers by weight. Weights of containers are approximately normally distributed. Historically, the standard deviation of weights is 5.5 ounces. (This standard deviation is therefore known.) A quality control expert selects n containers at random. How large a sample would be required in order for the 99% confidence interval for to have a length of 2 ounces? a. n 15 b. n 16 c. n 201 d. n 226
General
4 months ago
A prisoner is trapped in a cell containing 3 doors. The first door leads to a tunnel that returns him to his cell after 2 days’ travel. The second leads to a tunnel that returns him to his cell after 4 days’ travel. The third door leads to freedom after 1 day of travel. If it is assumed that the prisoner will always select doors 1, 2, and 3 with respective probabilities .5, .3, and .2, what is the expected number of days until the prisoner reaches freedom? 1. Repeat problem, assuming the prisoner remembers previously chosen doors, and does not re-choose them. Assume the probabilities for the other doors are proportionally larger. 2. Repeat problem but now suppose there is another cell, and that door 1 takes him to the other cell after 2 days of travel. For the other cell, there are two doors, one of which leads to freedom after 3 days of travel, and the other leads back to the prisoner’s original cell after 3 days of travel; each door is equally likely.
General
4 months ago
2.c is anyone good with exponential and logarithmic?
General
4 months ago
A phone store employee earns a salary of $450 per week plus 10% comission on her weekly sales. A) What function rule models the employee's weekly earnings? B)If the employee earned $570 in a week, what was the amount of her sales for that week?
General
4 months ago
Amaya has a store credit of 50.86 she plans to purchase a video game for $24.97 and a golf club accessory for $6.99 how much store credit will she have left
General
4 months ago
A student comes to lecture at a time that is uniformly distributed between 5:09 and 5:14. Independently of the student, the professor begins the lecture at a time that is uniformly distributed between 5:10 and 5:12. What is the chance that the lecture has already begun when the student arrives?
General
4 months ago
Given 1+ cos x/ sin x + sin x/1+ cos x= 4, find a numerical value of one trigonometric function of x.
General
4 months ago
Write the equation of the line perpendicular to + = that passes through (−,−). Write your answer in slope-intercept form.
General
4 months ago
URGENT!! Please answer this! (In your own words) The best answer gets BRAINLIEST!Find the area:
General
4 months ago
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