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2x + y = 3x - 2y = -1If equation one is multiplied by 2 and then the equations are added, the result is _____.3x = 23x = 55x = 5
General
4 months ago
Consider these scenarios. 1. A piano weighs 5.5 × 102 units. 2. A grain of salt weighs 1.02 × 10-3 units. 3. A tractor trailer weighs 8.8 × 101 units. Determine the unit of measurement that best represents each scenario. 1. 2. 3.
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4 months ago
Suppose that in the town of Springfield, RI, the number of days per year with no measurable precipitation is approximately normally distributed with a mean of 85.1 days and a standard deviation of 7.5 days. Ms. Johnson, who lives on a farm just outside of Springfield, wonders if the mean number of days with no measurable precipitation on her farm is different from in town. Her grandfather maintained meticulous weather records. She obtains a simple random sample of eight years from her grandfather's records, and determines that the mean number of days with no measurable precipitation in those years was 82.3 days. She plans to conduct a one-sample ????z ‑test, assuming that the standard deviation of days with no measurable precipitation is the same at the farm as in town. Choose the appropriate null and alternative hypotheses for such a test.
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4 months ago
g A university administrator obtains a sample of the academic records of past and present scholarship athletes at the university. The administrator reports that no significant difference was found in the mean GPA (grade point average) for male and female scholarship athletes (P = 0.287). This conclusion implies that the maximum difference in GPAs between male and female scholarship athletes is 0.287. the chance of obtaining a difference in GPAs between male and female scholarship athletes as large as that observed in the sample if there is no difference in mean GPAs is 0.287. the GPAs for male and female scholarship athletes are identical, except for 28.7% of the athletes. the chance that a pair of randomly chosen male and female scholarship athletes would have a significant difference in GPAs is 0.287
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4 months ago
Janessa wants to order these fractions: 4/9, 2/3, 1/6, -2 1/2. What should she use as her common denominator?
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4 months ago
Which of the following measurements is a little more than 3 feet? meter,centimeter,centileter, 1/4 foot
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4 months ago
The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almanac, 2009): Critical Reading 502 Mathematics 515 Writing 494 Assume that the population standard deviation on each part of the test is = 100. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Reading part of the test (to 4 decimals)? Round z value in intermediate calculation to 2 decimals places. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test (to 4 decimals)? Round z value in intermediate calculation to 2 decimals places.
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4 months ago
you want to rent a limousine for a trip to the city . the limo costs 700$ for the night and 0.15$ per mile . you only have to spend . write an inequality that represents this scenario
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4 months ago
sophia mandy and alexis are cousins sophia is 3/4 as tall as mandy. alexis is 5/6 as tall as mandy . what is the difference in height between sophia and alexis id mandy is 5 feet tall1/12 5/124 1/63 3/4
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4 months ago
The graphs below have the same shape. What is the equation of the blue graph?
General
4 months ago
Question 1 (Essay Worth 10 points)(07.02 MC)The lengths of three sides of a quadrilateral are shown below:Side 1: 4y + 2y2 − 3Side 2: −4 + 2y2 + 2y Side 3: 4y2 − 3 + 2yThe perimeter of the quadrilateral is 22y3 + 10y2 + 10y − 17.Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points)Part B: What is the length of the fourth side of the quadrilateral? (4 points)Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)Question 2 (Essay Worth 10 points)(07.01, 07.06 MC)The side of a square measures (2x − 5) units.Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points)Part B: What are the degree and classification of the expression obtained in Part A? (3 points)Part C: How does Part A demonstrate the closure property for polynomials? (3 points)Question 3 (Essay Worth 10 points)(07.09 HC)A container of oil has spilled on a concrete floor. The oil flow can be expressed with the function n(t) = 7t, where t represents time in minutes and n represents how far the oil is spreading.The flowing oil is creating a circular pattern on the concrete. The area of the pattern can be expressed as A(n) = πn2.Part A: Find the area of the circle of spilled oil as a function of time, or A[n(t)]. Show your work. (6 points)Part B: How large is the area of spilled oil after 8 minutes? You may use 3.14 to approximate π in this problem. (4 points)
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4 months ago
What is the appropriate measurement for the weight of an African elephant?
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4 months ago
Patrick travels from A to B at an average speed of 8km/h and then he travels from B to C at an average speed of 6 km/h.It is given that Patrick travels 26.4 km in 234 minutes for the whole journey.Find the distance that Patrick travels from A to B.
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4 months ago
Mr. Wilson is building a swimming pool in his backyard. The width of the pool is twice the depth and the length of the pool is 3 feetlonger than the width.Which of the following statements is true?The monomial 3d represents the length of the swimming pool.The trinomial 2d3 +3d2+1 represents the volume of the swimming pool.The binomial 6d3 + 4d2 represents the volume of the swimming pool.The binomial 2d + 3 represents the length of the swimming pool.
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4 months ago
A recent study conducted by the state government attempts to determine whether the voting public supports a further increase in cigarette taxes. The opinion poll recently sampled 1,500 voting age citizens. 1,020 of the sampled citizens were in favor of an increase in cigarette taxes. The state government would like to decide if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than .66. What is the alternative hypothesis?H_0:p≤1200 , H_a:p>1200H_0:p≤1500 , H_a:p>1500H_0:p≤0.66 , H_a:p>0.66H_0:μ<0.66 , H_a:P≥0.66
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4 months ago
What is the area of the composite figure? A (8π + 6) in.2 B (8π + 12) in.2 C (8π + 18) in.2 D (8π + 24) in.2
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4 months ago
An vulture is perched 40 ft up in a tree and looks down at an angle of depression of a 35? angle and spots roadkill. How far is the roadkill from the vulture? Round to the nearest tenth
General
4 months ago
The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 19 minutes and a standard deviation of 3 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 2% of its customers, how long should it make the guaranteed time limit?
General
4 months ago
Industry standards suggest that 13 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumter, South Carolina, sold 12 Nissans yesterday. (Round your mean answer to 2 decimal places and the other answers to 4 decimal places.) What is the probability that none of these vehicles requires warranty service
General
4 months ago
what does it mean when a number is in () will mark brainliest
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4 months ago
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