Math Questions

If f(x) = (x²-2)/(x+3) where is f not differentiable? X =

Reena collects postage stamps to create an album. The album has 14 pages. The first five pages of her stamp album holds 4 stamps per page. The remaining pages of the album have 14 stamps per page. Which equation can be used to find the total number of stamps (n)? O n= (5 x 14) + (14 x 14) O n=(14 x 4) + (14 x 9) O n= (5 x 4) + (9 x 14)

How much money would Karl have in his account after five years if he started with $200, deposits $200 per year, and earns 3 percent interest, compounded annually? a) $1,325.54 b)$1,200 c)$400 d)$13,255.40

Carolina is making punch for a party. • She made 6 bowls of punch. • Each bowl holds 2½ gallons of punch. • 1 gallon is equal to 4 quarts. She thinks each person will drink about 1 quart of punch. How many people will the 6 bowls of punch serve? [1 gallon (gal) = 4 quarts (qt)] A. 10 B. 30 C. 45 D. 60

300 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and a standard deviation of 4. How many students scored between 16 and 32? 204 299 285 150

A video on Tiktok was posted. on day 4 there was 6 views on day 10 there was 26 views make a point slope or slap-intercept equation with given data. use the equation you have the find how many views on day 0. Do you think this data is accurate.

Two different courier companies charge 3x + 5 and 2x + 7, respectively where x represents the weight of the parcel in pounds. Find the weight for which the charges are same in both couriers. a)X= 2 lb b)X=3 lb c)X= 0.075 lb

Find the midpoint of the line segment joining the points corresponding to the complex numbers in the complex plane. (8 + i, 2 + 3i) (x, y) =

A hole is cut through the center of a sphere of radius 1.1. The height of the remaining spherical ring is 1.54. Find the volume of the ring. 1). 8.78453 2). 14.1372 3). 4.84905 4). 5.27667 5). 1.91232 6). 2.48271 7). 1.53111 8). 4.44518 9). 6.70882 10).2.85454

A random sample of 40 students ate at a fast-food restaurant an average of 4.3 times a week with a standard deviation of 2.1. Using the table below, find the 90% confidence interval. 3.75 to 4.85 3.65 to 4.95 3.44 to 5.16 3.80 to 4.80

Evaluate the expression ( x⁴+7x³-2)/(y⁴+2) , when x = 4 and y=-2. -39 39 38

Function r(t) gives the amount of rainfall accumulated in inches, when it is t hours after the rain started. Which statement represents the meaning of the equation r(5) = 2.5 in this situation? 2.5 hours after the rain started, it has rained 5 inches 5 days after the rain started, it has rained 2.5 inches 5 hours after the rain started, it has rained 2.5 inches It has rained 5 inches for 2.5 hours

You roll one red die and one green die. Define the random variables X be the number showing on the red die and Y be the number of dice that show the number two. a. Write down a table showing the joint probability mass function for X and Y b. Find the marginal distribution for Y. C. Find E(Y).

You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 4 years of the actual mean with a confidence level of 96%, how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 25 years.

A computer salesperson at Best Buy claims that she has a 18% chance of selling a computer when helping out a customer. If this is true and she talks to four customers before lunch, find the probability that all four will buy computers. Round your answer to at least four decimal places.

Solve by completing the square. k^2 + 18k - 25 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth,

The function V(t) =33.8 – 7.4t gives the value (in thousands of dollars) of an investment after t years. Interpret the Slope in this situation. The value of this investment is_______ at a rate of_______

Solve by completing the square. p^2 - 24p = -19 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

If the alternator-to-engine drive ratio is 2.55 to 1, what rpm will the alternator have when the engine is idling at 400 rpm? Hint: Use a direct proportion. The alternator will have rpm when the engine is idling at 400 rpm. (Type a whole number or a decimal.)

A concession stand sold pizza slices, ice cream cones, and tacos at a basketball game. Pizza slices were sold for $2.75, ice cream cones were sold for $2.25, and tacos were sold for $1.75. The total number of pizza slices, ice cream cones, and tacos sold was 121, and the total amount of money from these items was $260.75. If $87.50 was made just from selling tacos, how many ice cream cones were sold?

Graph the inequality. 4x + y<2 Use the graphing tool to graph the inequality.

Solve the compound inequality. -x+5 > 6 and 5+2x≤-1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is ___. (Type your answer in interval notation. Simplify your answer. Use integers or tractions for any numbers in the expression.) B. The solution set is Ø.

Oak Tree circumference and Age Circumference (in) 26 48 46 47 55 Age (years) 22 28 30 26 35 Which issue can be addressed by conducting a statistical analysis of the values given by the table? A relationship exists between the age of an oak tree and its circumference. An older oak tree will have smaller circumference. A younger tree will have a smaller circumference. An oak tree grown in the forest will have a bigger circumference than one grown in a field.

Let f(x) = (1 + 4x^2)(x - x^2). a)Find the derivative by using the Product Rule. f'(x) =_________ b)Find the derivative by multiplying first. f'(x) =_________ c)Do your answers agree? 1)Yes 2)No

Graph the inequality. 5x - 6y >= 0 Use the graphing tool to graph the inequality.

Use a formula to find the sum of the following arithmetic series. 1+2+3+4+ ... +34 The sum of the given arithmetic series is (Simplify your answer)

If two people are selected at random, find the probability that they were born in the same month. Write your answer as a fraction in simplest terms.

Suppose a simple random sample of size n = 64 is obtained from a population that is skewed right with μ= 90 and σ = 24. (a) Describe the sampling distribution of x. (b) What is P (x̅>93)? (c) What is P (x̅≤82.5)? (d) What is P (87.9<x̅< 97.05)?

Choose all of the statistical questions. (A) How many texts did you send today? (B) When is your birthday? (C) On average, how old are college graduates? (D) How many texts a day do most high school students send?

Graph the linear equation. f(x) = 3x

The rear wheel of a tractor has a 21-in radius. Find the angle (in radians) through which a wheel rotates in 8 sec if the tractor is traveling at a speed of 24 mph, The wheel rotates through_____radians.

Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. ∑ 1/2ⁿ ∫ 1/(2^x) dx= _____ converges diverges

A college nursing program has select admissions to their program and only accepts 28% of applicants. Every year, a high school surveys 50 their students who applied and recorded who was accepted. Which of the following distributions is the best approximation of the sampling distribution of sample proportions? not enough information. skewed right. skewed left. approximately normal.

The map of a campground is shown below. Campsite C, first aid station F, and supply station S lie along a straight path. The path from the supply station to the tower, T, is perpendicular to the path from the supply station to the campsite. The length of path FS is 400 feet. The angle formed by path TF and path FS is 72º. The angle formed by path TC and path CS is 55°. Determine and state, to the nearest foot, the distance from the campsite to the tower.

Use the compound interest formula, A(t) = P(1+r/n)ⁿᵗ An account is opened with an initialy deposit of $10,500 and earns 3.8% interest compounded semi-annually. Round all answers to the nearest dollar. a. What will the account be worth in 30 years? $▢ b. What if the interest were compounding monthly? $▢ c. What if the interest were compounded daily (assume 365 days in a year)? $▢

Use the Direct Comparison Test to determine the convergence or divergence of the series. ∞ Σ 8^n/(9^n) +7 n=0 a)converges b)diverges

Two hundred college students were recently asked if they participated in music or sports. 127 students said they were involved in music. 78 students said they participated in both activities, while 20 students did not participate in either. How many students participated in only music? ▢ How many students participated in only sports? ▢ How many students were involved in music or sports? ▢

A random sample of 318 students from a large college was asked if they plan to visit family during Thanksgiving break. Based on this random sample, a 99% confidence interval for the proportion of all students at this college who plan to visit family during Thanksgiving break is 0.78 to 0.98. Which of the following provides the correct point estimate and margin of error for this interval? a. point estimate = 0.78; margin of error = 0.98 b. point estimate = 0.1; margin of error = 0.68 c. point estimate = 0.88; margin of error = 0.1 d. None of these is correct.

Find the cosine of the angle between A and B with respect to the standard inner product on M22 A =[3 3] and B = [4 2] [3 -1] [3 2] Carry out all calculations exactly and round to 4 decimal places the final answer only

Which property is used to compare two linear functions? 1. All of the choices 2. Rate of change 3. Slope

A simple random sample of size n is drawn. The sample mean, x, is found to be 18.1, and the sample standard deviation, s, is found to be 4.7. (a) Construct a 95% confidence interval about p if the sample size, n, is 35. Lower bound:___ Upper bound:______ (b) Construct a 95% confidence interval about p if the sample size, n, is 51.

A deck of cards is randomly dealt by the computer during a game of Spider Solitaire. Find the probability (as a reduced fraction) the first card dealt is (a) A 4 or a heart.

Identify the dependent and independent variable in y = 12x - 30. a)Dependent variable: x and Independent variable: x b)Dependent variable: x and Independent variable: y c)Dependent variable y and Independent variable: x

In order to estimate the population proportion of students at Sandy Beach High that are going to attend prom a random sample of 200 students was taken. The resulting confidence interval was (73%, 80%). Someone in your class believes that 90% of the students will attend prom. Based on the confidence interval constructed, what would you say to your classmate? They are most likely correct because 90% is not in the confidence interval. They are most likely correct because 90% is in the confidence interval. They are most likely incorrect because 90% is not in the confidence interval. They are most likely incorrect because 90% is in the confidence interval.

– 7x – 2y = 37 – 8x + 8y = 40 Is ( – 5, – 1) a solution to the first equation? True False Is (– 5, – 1) a solution to the second equation? True False Is ( – 5, – 1) a solution to the system of equations above? True False

An experimental serum was injected into 500 guinea pigs. Initially, 50 of the guinea pigs had circular cells, 125 had elliptical cells, and 325 had irregular cells. After the serum was injected, all of the guinea pigs with circular cells were affected, 25 with elliptical cells were affected, and none of those with irregular cells were affected. Determine the empirical probability that a guinea pig with (a) circular cells, (b) elliptical cells, and (c) irregular cells will be affected by injection of serum. a) The empirical probability that a guinea pig with circular cells will be affected by injection of the serum is 1. b) The empirical probability that a guinea pig with elliptical cells will be affected by injection of the serum is_____.

Suppose that each circle is equally likely to be selected. One circle is selected at random. Determine the probability indicated. P (- |white circle obtained)

Oreo was asked to find the end behavior of f(x) = 3x² +2 -7x^5+ 11. In which step did she make an error? Explain what her error was. Type your answer below. Step 1: She found the leading coefficient to be 3x^2 Step 2: She found the coefficient to be positive 3, so the function is increasing from left to right Step 3: She found the exponent to be even, so the ends are pointing in the same direction Step 4: Her answer was_______

Solve the equation by factoring: 2w(3w + 1) = 3w + 1. Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For example, if you get 4 and -2/3 and as your answers, then enter 4,-2/3 in the box.

Suppose f(c) has zeros at x = -2, c = 4, x = 6 and a y-intercept of 11. In addition, f(x) has the following long-run behavior: as x --> ∓∞, y + ∞. Find the formula for the polynomial f(x) which has the minimum possible degree. f(x) =