∆ABC is an isosceles triangle. The length of CB is 12 feet 4 inches and the congruent sides are each 3/4 this length. 2. What is the perimeter of ∆ABC?a. 31 ft. 4 in.b. 21 ft. 7 in.c. 30 ft. 10 in.d. 18 ft. 6 in.3. In ∆DEF, DE and DF are each 6 feet 3 inches long. This length is 0.75 times the length of FE. What is the perimeter of ∆DEF?a. 12 ft. 4 in.b. 17 ft. 2 in.c. 14 ft. 7 in.d. 20 ft. 10 in.4. ∆JKL is an isosceles triangle with JL ≅ KL. If JK is three more than x, KL is 17 less than four times x, and JL is 45 less than six times x, find x and the measure of each side.e. 39, 39, 17f. 17, 15, 17g. 17,17,39h. 42,42,42​

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general 10 months ago 7721

Previously, an organization reported that teenagers spent an average of 4.5 hours per week on the phone. The organization thinks that the current mean is higher. To test the claim, fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Suppose that a hypothesis test is conducted to test the claim that the mean hours is more than 4.5 hours per week. What are the hypotheses for the test?

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general 10 months ago 3100

A farmer uses a lot of fertilizer to grow his crops. The farmer's manager thinks fertilizer products from distributor A contain more of the nitrogen that his plants need than distributor B's fertilizer does. He takes two independent samples of four batches of fertilizer from each distributor and measures the amount of nitrogen in each batch. Fertilizer from distributor A contained 23 pounds per batch and fertilizer from distributor B contained 18 pounds per batch. Suppose the population standard deviation for distributor A and distributor B is four pounds per batch and five pounds per batch, respectively. Assume the distribution of nitrogen in fertilizer is normally distributed. Let µ1 and µ2 represent the average amount of nitrogen per batch for fertilizer's A and B, respectively. Calculate the value of the test statistic.

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general 10 months ago 9332

Conservationists have despaired over destruction of tropical rain forest by logging, clearing, and burning." These words begin a report on a statistical study of the effects of logging in Borneo. Here are data on the number of tree species in 12 unlogged forest plots and 9 similar plots logged 8 years earlier: Unlogged 22 18 22 20 15 21 13 13 19 13 19 15 Logged 17 4 18 14 18 15 15 10 12 Use the data to give a 90% confidence interval for the difference in mean number of species between unlogged and logged plots. Compute degrees of freedom using the conservative method.Interval: _____ to ______.

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general 10 months ago 3797

Consider the system of differential equations dxdt=−5ydydt=−5x. Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for x from the first equation. Solve the equation you obtained for y as a function of t; hence find x as a function of t. If we also require x(0)=1 and y(0)=3, what are x and y? x(t)= equation editorEquation Editor y(t)= equation editorEquation Editor

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general 10 months ago 3460

The average US woman wears 515 chemicals on an average day from her makeup and toiletries. A random sample from California found that on average the California woman wears 325 chemicals per day with a standard deviation of 90.5.Which hypothesis test should be used to determine whether the sample contains less than the US average of wearing 515 chemicals per day?a. t-test for the population meanb. z-test for the population meanc. z-test for the population proportiond. t-test for the population proportion

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general 10 months ago 5156

A line is parameterized by x=2+6???? and y=4+3????. (a) Which of the following points are on the section of the line obtained by restricting ???? to nonnegative numbers (for each, enter Y if the point is on the section, and N if not)? (−28,−11) : (8,7) : (26,16) : Then, give one more point that is on the section of the line obtained by this restriction: (b) What are the endpoints of the line segment obtained by restricting ???? to −2≤????≤1? left endpoint : right endpoint : (c) How should ???? be restricted to give the part of the line above the x-axis (give your answer as an interval for ????, for example, (3,8) or [-2,Inf))? ???? must be in :

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general 10 months ago 2330

A simple random sample of 1200 adult Americans is selected, and each person is asked the following question: "In light of the huge national deficit, should the government at this time spend additional money to establish a national system of health insurance?" Only 39% of those responding answered "Yes." This survey ____. a. is reasonable accurate since it used a large simple random sample. b. needs to be larger since only about 24 people were drawn from each state. c. probably understates the percent of people who favor a system of national health insurance. d. is very inaccurate but neither understates nor overstates the percent of people who favor a system of national health insurance. Because simple random sampling was used, it is unbiased. e. probably overstates the percent of people who favor a system of national health insurance.

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general 10 months ago 7664

Natalie is skiing along a circular ski trail that has a radius of 2.6 km. She starts at the 3-o'clock position and travels in the CCW direction. Natalie stops skiing when she is 0.942 km to the right and 2.423 km above the center of the ski trail. Imagine an angle with its vertex at the center of the circular ski trail that subtends Natalie's path. a. How many radians has the angle swept out since Natalie started skiing? ______radiansb. How many km has Natalie skied since she started skiing? _________km

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general 10 months ago 7535