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MATH SOLVE
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if[tex]if \: \tan( \beta + \alpha ) - (3 + 2 \sqrt{2} ) \tan( \beta ) = \: 0 \: \\: show \: that \: \sin(2 \beta + \alpha ) = \sqrt{2} \sin( \alpha ) [/tex]plzz helppppp
General
4 months ago
URGENT!!!Simplify the expression with steps
General
4 months ago
Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has fewer than 165 pages if the mean is 192 pages and the standard deviation is 27 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.
General
4 months ago
You are opening a restaurant. In the figure, the dining area of the restaurant is rectangle JKLM. Each unit in the coordinate plane represents 1 foot. The points are J(3,30) K(33,30) L(33,0) M(3,0)part a. Find the area A of the dining area. A= ft2part b. A local fire safety code recommends seating no more than one person per 15 square feet. Find the maximum number of people the restaurant should seat in the dining area.Maximum number of people:
General
4 months ago
plsss help...i need someone to help with my hw..cuz my teacher wants them to be done by tomorrow. .
General
4 months ago
Find the equation of the line in slope-intercept form.m=− 4/7 through (14, 3)
General
4 months ago
Robin and Jackson play rugby on the weekends. On Saturday they played 3 1/2 hours. On Sunday they played 3/4 of the time thye played on Saturday. What was the total time they played over the weekend in minutes and in hours
General
4 months ago
From the top of a cliff 92.9 m above a stream the angle of depression to a point on the near shore is 48.5 degrees and to a point on the far shore is 37.9 degrees find the width of the stream between these two points
General
4 months ago
Use compatible numbers to solve the problem 326 divided by 44.
General
4 months ago
A rectangular park is 214 feet longer than it is wide, and the total length of fence that goes around the perimeter of the park is 1444 feet. Find how many square feet of lawn will be needed to cover the entire park?
General
4 months ago
A dessert manufacturer wanted to know if adding a preservative to their cupcakes extended their shelf life before going stale. They found the cupcakes that had the preservative lasted seven days before going stale, but the cupcakes without the preservative only lasted three days. They found that the difference in these shelf lives had a p-value of 0.24. Assume an α of 0.05. What should we conclude about their findings? Select one: The results were statistically significant and practically significant. The results were statistically significant but not practically significant. The results were not statistically significant but were practically significant. The results were neither statistically significant nor practically significant.
General
4 months ago
Let L be the line passing through the point P(−1, 1, 4) with direction vector d=[−1, 1, −2]T. Find the shortest distance d from the point P0(5, 3, 2) to L, and the point Q on L that is closest to P0. Use the square root symbol '√' where needed to give an exact value for your answer.
General
4 months ago
A frozen food company uses a machine that packages blueberries in seven pound portions. A sample of 7373 packages of blueberries has a variance of 0.300.30. Construct the 99%99% confidence interval to estimate the variance of the weights of the packages prepared by the machine. Round your answers to two decimal places.
General
4 months ago
The LA Dodgers hit the most homeruns in 2014. The number of homeruns accounted for 6% of the entireMajor League Baseball home runcount. If 583 total home runs were hit,approximately how many did the LADodgers hit?
General
4 months ago
: Clark is having a party at his house. His father has allowed him to spend at most 20 dollars on snack food. He'd like to buy chips for 4 dollars a bag and pretzels that cost 2 dollars per bag.write an inequality to describe the situation.
General
4 months ago
Which shows the equation y – 4 = 2(x + 3) written in standard form? A. –2x + y = 10 B. –2x + y = 7 C. y = 2x + 7 D. y = 2x + 10
General
4 months ago
If you weighed 138 pounds on earth you would weigh 128.34 on Saturn. Write the weight on Saturn as a mixed number in simplest form
General
4 months ago
9) Eric and Charlotte collected donations for the food bank. Charlotte collected 3 times the amountof Eric's donations minus $20. Eric and Charlotte combined their donations and spend half of themoney on canned food. The rest of the money, $50, was donated to the food bank directly. Howmuch did each student collect?10) A.A.Ron Balakay's cell phone costs $18 per month plus $0.15 for every minute she uses thephone. Last month her bill was $29.95. For how many minutes did she use her phone lastmonth?
General
4 months ago
A delegation of 3 is selected from a city council made up of 4 liberals and 5 conservatives. What is the expected number of liberals in the delegation?
General
4 months ago
A factory employs several thousand workers, of whom 35% are Hispanic. If the 17 members of the union executive committee were chosen from the workers at random, the number of Hispanics on the committee would have the binomial distribution with n = 17 and p = 0.35. (a) What is the mean number of Hispanics on randomly chosen committees of 17 workers? (b) What is the standard deviation σ of the count X of Hispanic members? (c) Suppose that 10% of the factory workers were Hispanic. Then p = 0.1. What is σ in this case? What is σ if p = 0.01? What does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to 0? As p decreases, σ decreases. As p increases, σ increases. As p increases, σ decreases. As p decreases, σ increases.
General
4 months ago
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