Math Questions

Prove that the polygon with coordinates A(5, 6), B(8, 5), and C(2, -3) is a right triangle. a) slope of CB 4/3 =;slope of AC = 3; perpendicular lines form a right angle b) slope of AB=1/3 ;slope of CB =4/3 both have denominators of 3 making the perpendicular c) cannot be proven d) slope of AB =-1/3 slope of AC = 3; perpendicular lines form a right

How can coordinate proof be used to prove two lines are parallel? a) Show that the product of their slopes is 1. b) Show that the product of their slopes is -1. c) Show that the slopes are the same. d) Show that the y-intercepts are the same.

The diameter of a circle is 6 ft. Find its area to the nearest tenth. Answer: A=ft²

If you horizontally shift the absolute value parent function, F(x) = Ixl, right nine units, what is the equation of the new function? A. G(x)= |x |+9 B. G(x)= |x +9| C. G(x) = |x|-9 D. G(x) = Ix-9|

Classify the two given samples as independent or dependent. Sample 1:The average test scores of 50 math students Sample 2: The average test scores of the same 50 math students after being tutored for two months Choose the correct answer below. A. The two given samples are independent because the same students were sampled. B. The two given samples are independent because different students were sampled. C. The two given samples are dependent because the same students were sampled. D. The two given samples are dependent because different students were sampled.

Find all ordered pair solution (s) to the system of nonlinear equations given by: y=-x-5 y = x² - 5 If there is more than one solution, enter as a list of ordered pairs. Example: (2,-5), (5,-2)

A credit card company claims that the mean credit card debt for individuals is greater than $5,200. You want to test this claim. You find that a random sample of 36 cardholders a mean credit card balance of $5,352 and a standard deviation of $550. At a=0.05, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and Ha? A. Ho us $5,200 Ha:p>$5,200 B. Ho: 2$5,200 Ha:μ<$5,200 C. Ho u>$5,200 Ha us$5,200 D. Ho: μ=$5,200 Ha:p>$5,200 E. Ho: H=$5,200 Ha:μ≠$5,200 F. Ho: $5,200 Ha:μ≤ $5,200

Find the sum: (x^5-2x^4+3x²-6) + (3x^4 +4x²+x+4). Enter your answer as a polynomial in descending order below, and use the caret (^) for exponents. For example, you would write 4x² as 4x^2.

A right cylinder has a radius of 3 and a height of 8. A cone has the same radius as the cylinder. Find the height of the cone if the two have the same volume.

A member of the American Kennel Club is researching Irish Wolfhounds, and measures ninety of them to find a sample average height of 33.0 Inches, with a 90% confidence interval of [32.7, 33.3] Inches. If the researcher finds twenty other ninety-dog samples, about how many of those samples will have an average outside this Interval? 1 2 4 5

Which of the following would produce a similarity transformation? Select all that apply. dilation alone translation followed by rotation rotation followed by a dilation reflection followed by rotation

Which of the following illustrates the probability of the complement A' of an event A? P(A')=1-P(A) P(A) = 1- P(A') A=P(A) + P(A') A=P(A) P(A') .

Given the following quadratic equation, state the x and y intercepts (solutions of the form (x, 0) and (0, y)), the vertex, and then use this information to sketch the graph: a) y = x² - 2x-3 b) y = x² + 2x c) y = -x² + 4x-2

The Pizza Shack discounts 20% off the regular selling price on the purchase of 3 or more pizzas. What is the sale price on the purchase of 3 pizzas that regularly sell for $10.75, $16.75, and $20.75?

Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.37 parts per million and the standard deviation is 2.12 parts per million. At a=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and Ha. Which of the following correctly states Ho and Ha?

You performed a simulation to examine mutation proportions. You put fifty candies in each of two bags. You hit both bags with a book to simulate a genetic mutation occurring. The first bag had five broken candles and the second bag had ten broken candies. Which statement is correct? Your sample size was too small to use the z-test to compare proportions. The proportions of candies in the bags were not statistically significantly different at the 90% confidence level. The proportions of candies in the bags were statistically significantly different at the 90% confidence level. The proportions of candies in the bag could not be determined.

The following options are available for Inline skates. • White, pink, yellow, blue Tassels, striped, bells, straps . Three, four, five wheels What is the probability of selecting a skate with three wheels, assuming that the probabilities of selection are the same for all options? 1/48 1/12 1/4 1/3

What conditions are necessary in order to use the z-test to test the difference between two population means? Select all the necessary conditions below. A. The samples must be randomly selected. B. The samples must be independent. C. The samples are paired. D. Each population has a normal distribution with a known standard deviation.

#8 An airplane is flying 700 feet above ground. From the plane to the base of the control tower, the angle of depression is 47°. How far away is ground directly underneath the plane to the control tower? Round your answer to the nearest tenth.

In an effort to estimate the mean dollars spent per visit by customers of a food store, the manager has selected a random sample of 100 cash register receipts. The mean of these was $45.67 with a sample standard deviation equal to $12.30. Assuming that he wants to develop a 90 percent confidence interval estimate the upper limit of the confidence interval estimate is: a. about $2.02. b. approximately $65.90. c. about $47.69. d. None of the above.

Identify the claim and state Ho and H₂. What is the claim? A. Male high school students have greater exam scores than female students B. Male high school students have lower exam scores than female students. C. Male and female high school students have equal exam scores. D. Male and female high school students have different exam scores.

Multiplying by a number flips the graph of a function over the x-axis.

A hockey goaltender has a save percentage of 0.920. This means that the probability of any single shot taken on the goaltender being a goal is 0.08. What would be the expected number of goals scored on this goaltender in a game where she faced 35 shots?

Determine whether the function represents exponential growth or decay. Write the base in terms of the rate of growth or decay, identify r, and interpret the rate of growth or decay. y=460.4^x

Suppose that 108 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as the following figure: Find the dimensions of the corral with maximum area.

An educational organization in California is interested in estimating the mean number of minutes per day that children between the age of 6 and 18 spend watching television per day. A previous study showed that the population standard deviation was 21.5 minutes. The organization selected a random sample of n = 200 children between the age of 6 and 18 and recorded the number of minutes of TV that each person watched on a particular day. The mean time was 191.3 minutes. If the leaders of the organization wish to develop an interval estimate with 98 percent confidence, what would be the upper and lower limits of the interval estimate? a. Approximately 187.76 minutes ----- 194.84 minutes b. About 141.21 ------ minutes 241.40 minutes c. Approximately 188.3 minutes -------- 194.3 minutes d. None of the above.

Give the slope and y-intercept for the following equation. 2r + 5y = 10

Which of the following is not the decision rule for hypothesis test? If the P-value is less than alpha, then reject the null hypothesis. If the P-value is less than alpha, then reject the alternate hypothesis. If alpha is less than the P-value, then reject the null hypothesis. If alpha is greater than the P-value, then reject the alternate hypothesis.

Casey conducted research on the amount of time people spent at the mall and the amount of money they spent. Casey calculated the line of best fit as f(x) = 1.05x-2.63 and correlation coefficient of r = 0.08 for her data set. Which statement best describes the relationship between the amount of money spent and the amount of time people were in the mall? A. The events have a little or no correlation B. The events have a weak positive linear correlation. C. The events have a strong positive linear correlation. D. The events have a strong negative linear correlation.

You are given the choice between a yearly payment of $3,405 that increases by $151 every year or a yearly payment of $3,405 that increases by 2.8% compounded annually. How much money would you make after 13 years if you chose the exponential payment? Do not include the dollar sign in your answer. Round to the nearest cent.

You have two job offers that you are considering. Offer 1: You earn a yearly salary of $47,130 that increases by $3,791 every year. Offer 2: You earn a yearly salary of $47,130 that increases by 2.4% compounded annually. How much money would you make after 21 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

The diameter of a circle is 14 m. Find its area to the nearest tenth.

A test of significance with a = 0.05 results in a p-value of 0.1. What do you conclude? A. The null hypothesis is rejected. B. The null hypothesis is not rejected. C. The alternative hypothesis is not rejected. D. The null hypothesis is accepted.

A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $40 per acre. Seed for crop B costs $20 per acre. The farmer can spend at most $1600 on seed. If crop B brings in a profit of $90 per acre, and crop A brings in a profit of $60 per acre, how many acres of each crop should the farmer plant to maximize her profit?

Find the equation of the line containing the point whose coordinates are (-1, 2) and perpendicular to the graph of 3x + 9y = -3.

Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 109. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 600? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550?

Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal containing rice, tofu, and peanuts that will provide 159 grams of carbohydrates, 320 grams of fat, and 184 grams of protein. He knows that each cup of rice provides 41 grams of carbohydrates, 0 grams of fat, and 2 grams of protein. Each cup of tofu provides 6 grams of carbohydrates, 8 grams of fat, and 22 grams of protein. Finally, each cup of peanuts provides 25 grams of carbohydrates, 74 grams of fat, and 29 grams of protein. How many cups of rice, tofu, and peanuts should he eat?

Question Help Aused car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 20 similar vehicles has a mean price of $19,648 and a standard deviation of $1928. Is there enough evidence to reject the claim at a=0.05? Complete parts (a) through (e) below. Assume the population is normally distributed.

Use differentials to estimate the amount of paint needed to apply a coat of paint .05 cm thick to a hemispherical dome with diameter 50 m.

You are skiing down a mountain with a vertical height of 1000 feet. The distance from the top of the mountain to the base is 2000 feet. What is the angle of elevation from the base to the top of the mountain?

For the line 3x - 4y -12 = 0, which statement is true? The x-intercept is 3, and the y-intercept is 4. The x-intercept is 3, and the y-intercept is -4. The x-intercept is 4, and the y-intercept is 3. The x-intercept is 4, and the y-intercept is-3.

The radius of a circle is 5 cm. Find its area to the nearest tenth.

A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $5 per acre. Seed for crop B costs $10 per acre. The farmer can spend at most $550 on seed. If crop B brings in a profit of $60 per acre, and crop A brings in a profit of $90 per acre, how many acres of each crop should the farmer plant to maximize her profit?

The standard deviation of a probability distribution is 85, and using the 68-95-99.7 rule, about 68% of the values lle between 540 and 710. What is the mean of this distribution? 625 455 795 795

Find the exact value of the expression. sec ( tan^-1 (8/9) = Select the correct choice and fill in any answer boxes in your choice below. A. sec ( tan^-1 (8/9) = B. There is no solution.

Suppose that 288 out of a random sample of 400 letters mailed in the United States were delivered the day after they were mailed. Based on this, compute a 90% confidence interval for the proportion of all letters mailed in the United States that were delivered the day after they were mailed. Then find the lower limit and upper limit of the 90% confidence interval.

A basketball team has ten players. Each day at practice, one is chosen to bring out the basketballs and another is chosen to return the basketballs to the storage closet. What is the chance that Demetrius will bring out the basketballs and Sam will return the basketballs to the storage closet for thirty practices in a row?

A spotlight on the ground is shining on a wall 12m away. If a woman 2 tall walks from the spotlight toward the building at a speed of 0.8m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building?

9.) The equation y= 19x + 350 represents the relationship between the total 1 point cost, in dollars, y, to rent a banquet hall for a party, and the number of people attending, x. Select all true statements. * The y-intercept is 19. The y-intercept is 350 The slope is 350. The slope is 19. The y-intercept represents the cost per person attending. The y-intercept represents the initial cost. The slope represents the cost per person attending. The slope represents the initial cost. Y represents the total cost to rent the banquet hall.

The dog has a litter of eight puppies. Your dad wants to sell three of them. How many ways can he make the group of three to sell? 8 4 56 336