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We have seen that the standard deviation σ measures the spread of a data set about the mean μ. Chebyshev’s inequality gives an estimate of how well the standard deviation measures that spread. One consequence of this inequality is that for every data set at least 75% of the data points lie within two standard deviations of the mean, that is, between μ−2σ and μ+2σ (inclusive). For example, if μ = 20 and σ = 5, then at least 75% of the data are at least 20−2×5 = 10 and at most 20+2×5 = 30. Our statement of this result says at least 75%, not exactly 75%. Consider the following data: 5, 10, 10, 10, 10, 10, 10, 15. The percentage of data points that actually lie within two standard deviation of the mean is ______%
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2 months ago
How to solve f(x)=x2-8x+5
General
2 months ago
A small shop sells a variety of smartphones. Suppose we know that the battery life of Smartphone A is normally distributed with a mean of 15 hours and a standard deviation of 6.4. Also suppose we know that the average battery life of Smartphone B is 12 hours with a standard deviation of 4.2. We know that Smartphone C has the greatest standard deviation of battery life of 7.5. Twelve hundred of the four thousand customers of the shop use Smartphone A. Seven hundred fifty of the customers use Smartphone B. 1.1. If we choose 16 Smartphone A users, what is the probability that their mean battery life will be between 14.5 and 17 hours?
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2 months ago
In the last quarter of 2007, a group of 64 mutual funds had a mean return of 4.8% with a standard deviation of 5.8%. If a normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. a) Returns of 10.6% or more b) Returns of 4.8% or less c) Returns between negative 12.6% and 22.2% d) Returns of more than 16.4%
General
2 months ago
A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by f(x) = 625 - 16x^2. What is the maximum value of f(x)?
General
2 months ago
In hypothesis testing, does choosing between the critical value method or the P-value method affect your conclusion? Explain. Choose the correct answer below. A. Yes, because the critical value method uses critical value(s) to identify the rejection region(s). The P-value method compares the P-value with the level of significance alphaα. B. No, because both methods involve comparing the standardized test statistic with the rejection region(s). C. Yes, because the P-value method is more accurate than the critical value method. D. Yes, because the critical value method is more accurate than the P-value method. E. No, because both involve comparing the test statistic's probability with the level of significance.
General
2 months ago
(I'm so lost I need help with this question!!!)The area of a square is calculated with the formula A = s^2, where s is the length of one side of the square.Given that the area of the square shown below is 25cm^2.Answer the following questions:1. What is the length of any side of the square?2. What is the length of the diagonal of the square (labeled x in the figure below)? Hint: Substitute the side length you just found in the Pythagorean theorem a^2 + b^2 = c^2.(Be sure to show all your work in complete sentences!)
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2 months ago
Need help to pass class
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2 months ago
Help? :)Wan has 22 bulbs of the same shape and size in a box. The colors of and amounts of the bulbs are shown below:6 blue bulbs9 red bulbs7 orange bulbsWithout looking in the box, Wan takes out a bulb at random. He then replaces the bulb and takes out another bulb from the box. What is the probability that Wan takes out an orange bulb in both draws? 7 over 22 multiplied by 7 over 22 equal 49 over 484 7 over 22 multiplied by 6 over 21 equal 42 over 462 7 over 22 plus 6 over 21 equal 279 over 462 7 over 22 plus 7 over 22 equal 308 over 484A or B? I know he replaced it in the first one, but did he replace it in the second? Hm....
General
2 months ago
At a restaurant a manger recorded the sales for one of his servers named Damaria.$52, $60, $48, $52, $46, $52, $28, $192, $71, $59Which center should be used to best represent the data?A. Damaria’s mean sale is $70.B. Damaria’s median sale is $52.C. Damaria’s mode sale is $52D. Damaria’s range of her sales is $164
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2 months ago
Bily is helping to make piZzas for a school function. He's made 25 pizzas so far His principal asked him to make at least 30 pizzas but no more than 75 Solve the compound inequality and interpret the solution 30 S x+25 75
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2 months ago
A college administrator would like to estimate the average grade point average (average of GPA) of all the current registered students based on a random sample. He plans to estimate the average GPA to within 0.05 with 90% confidence interval. At least how many students does he need to include in the sample in order to accomplish that? Assume the standard deviation of all GPA's in the student population is \sigma σ = 0.4.
General
2 months ago
Two sides of a triangle have lengths 15 cm and 19 cm. Which measurement can be the length of the third side? Question 15 options: a) 6 cm b) 4 cm c) 40 cm d) 36 cm
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2 months ago
What divides each median into two sections at a 2:1 ratio? Question 6 options: a) circumcenter b) incenter c) centroid d) orthocenter
General
2 months ago
If the sides of a triangle have measures 3x + 4, 6x – 1 and 8x + 2, find all possible values of x.a) x > -4/3b) 0 < x < 1/6c) 1/6 < x < 3/11d) x > 0
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2 months ago
find the values of x and y that make these triangles congruent by the hl theorem x=2,y=3 x=-2,y=3x=3,y=2x=4,y=8
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2 months ago
walt is mixing fruit punch for a party. he combines 1 gallon 2 quarts 3 pints of orange juice, 1 gallon 3 quarts 7 pints of pineapple juice, and 1 gallon 3 quarts 3 pints of ginger ale. whats the total liquid measure of the punch?
General
2 months ago
Can anyone plzzzz help me with this question of linear equation in two varaiable plzzzzzz... Its very important... Plz solve it for me....
General
2 months ago
Plzzz answer this.... Its very important
General
2 months ago
in order to ask me the width of a river, similar triangles can be used as shown in the diagram. Three markers O, C, and E are placed on the upper Bank of the river for me a right triangle. He is on the back of the river and OC is perpendicular to CE. A marker in is placed across the river and cold in here with C & E. Another marker, A is Place downstream on the bank so that see it is perfectly Dacula to in a. If OC is 66 ft, CE is 44 ft, and NA is 93 ft, find the estimated width of the River, and E, in feet.
General
2 months ago
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