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Two 6-sided dice are tossed. One die is red and the other is white, so that they are distinguishable. (That is, we consider the pair of numbers (number showing on red die, number showing on white die), for example, one outcome is (3, 1), which is different from (1, 3).). Let A be the event that the sum of the dice is even, B be the event that at least one die shows a 3 and C be the event that the sum of the dice is 7. Identify the elements of: (a) A Intersection B (b) B^c Intersection C (c) A Intersection C (d) A^c Intersection B^c Intersection C^c
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4 months ago
A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips etc.). No car had more than three defects. Here is the probability distribution for the number of appearance defects in a new car. X = number of defects 0 1 2 3 P(x) 0.58 0.24 0.13 0.05 Find the expected number of appearance defects in a new car. Enter a number in decimal form. Do not round.
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4 months ago
Sam keeps a record of his work outs over several years. X is the number of times he goes to the gym in a week. He calculates relative frequencies to create the empirical probability distribution below. X 0 1 2 3 4 P(X) 0.1 0.15 0.40 0.25 0.10 For example, for 10% of the weeks he did not go to the gym. For 15% of the weeks he went to the gym once. What is the mean of X (the expected number of times he visits the gym per week in the long run)?
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4 months ago
3. Diego drew a scaled version of a Polygon P and labeled it Q.If the area of Polygon P is 72 square units, what scale factordid Diego use to go from P to Q? Explain your reasoning. PLEASE ANSWER QUICKLY
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4 months ago
Please Help. 25 points.
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4 months ago
Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon
General
4 months ago
A random sample of five Galaxy 8 smartphones is selected from the production line after final assembly, and the result of the weight control measurement is (in grams) 155.1, 154.8, 155.5, 155.3, and 154.6.What are the average weight, its uncertainty (i.e. the standard deviation of the mean), and the fractional uncertainty? Round the results to a number of significant figures consistent with the precision of the smartphone weight measurements.
General
4 months ago
A taxi company charges $4.00 for the first mile (or part of a mile) and 80 cents for each succeeding tenth of a mile (or part). Express the cost C (in dollars) of a ride as a piecewise defined function of the distance x traveled (in miles) for 0 < x ≤ 2.
General
4 months ago
You are driving to a conference in Cleveland and have already traveled 100 miles. You still have 50 more miles to go. When you arrive in Cleveland, how many miles will you have driven?
General
4 months ago
23 + 8m + 4n - 5m - 27
General
4 months ago
At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 700 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by A(n) = (700 + n)(10 − 0.01n) where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.
General
4 months ago
How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elements, each triple of sets has 100 common elements, every four of the sets have 10 common elements, and there is 1 element in all five sets?
General
4 months ago
A dictionary contains the following 9 words: two, mice, three, squeaking, the, blind, deaf, birds, rabbits. What is the probability of randomly generating the phrase three blind mice? 1/81 1/729 1/27 1/19,683
General
4 months ago
Two boys on bicycles, 65 miles apart, began racing directly toward each other. The instant they started, a fly on the handle bar of one bicycle started flying straight toward the other cyclist. As soon as it reached the other handle bar it turned and started back. The fly flew back and forth in this way, from handle bar to handle bar, until the two bicycles met. If each bicycle had a constant speed of 14 miles an hour, and the fly flew at a constant speed of 18 miles an hour, how far did the fly fly?
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4 months ago
A low white blood cell count, or leukopenia, is a decrease in disease-fighting cells (leukocytes) circulating in your blood. Low white blood cell counts can also indicate the presence of disease. A count lower than 4,000 white blood cells per microliter of blood is generally considered a low white blood cell count. Suppose you are worried about your white blood cell count and have your blood sampled on 10 random days. You use the mean of your samples to test the theory that your average white blood cell count is MORE than 4000 What sort of p-value are you hoping will come from this test.A- A really big p-value so you'll have statistical evidence your white blood cell count is above 4,000.B-A p-value close to 0 so you'll have statistical evidence your white blood cell count is around 4000 on average.C-A really small p-value so that so you'll have statistical evidence your white blood cell count is above 4000 .D-A really small p-value because this means there is a high probability that your white blood cell count is above 4000.E-A p-value close to 1 because this means there is a high probability that your white blood cell count is above 4000.F-Exactly 2 of the above are true.
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4 months ago
Kimberly rides her bicycle from her home to school at an average rate of 12 mph if it takes her 20 minutes to get to school how many miles is her home from her school
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4 months ago
2. Which of these describes a unique polygon?A. A triangle with angles 30°, 50', and 100°B. A quadrilateral with each side length 5 cmC. A triangle with side lengths 6 cm, 7 cm, and 8 cmD. A triangle with side lengths 4 cm and 5 cm and a 50° angle
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4 months ago
Stuck with a current word problem Find how many quarts of 5% butterfat milk and 1% butterfat milk should be mixed to yield 100 quarts of 3% butterfat milk
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4 months ago
A high school mathematics teacher can grade a set of exams in 7 hours working alone. If their student teacher helps them, it will take them 4 hours to grade the exams together. How long would it take the student teacher to grade the exams if they worked alone?
General
4 months ago
write a variable expression to describe the rule for the sequence. Then find the 10th term. 15,13,11, 9..
General
4 months ago
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