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MATH SOLVE
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A shipment of 1000 small lab mice arrives at the animal care facility. We wish to estimate the actual mean weight of the mice. A simple random sample of 100 mice is selected and weighed, and the resulting 95% confidence interval for the actual mean weight is from 9.9 to 10.5 gram. Using the same data to test the hypotheses about the actual mean weight, which of the following is correct? We cannot reject the hypothesis that the sample mean is 10.2 gram at α = 0.05 We cannot reject the hypothesis that 95% of individual mice weight between 9.9 and 10.5 gram We can reject the hypothesis that the true mean is 10 gram at α = 0.05 We can reject the hypothesis that the true mean weight is 11 g versus that the mean weight is not equal to 11 gram at α = 0.05
General
2 months ago
You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $7/ft2 and the material for the sides costs $3/ft2. You need a box with volume 4 ft3. Find the dimensions (in ft) of the box that minimize cost. Use x to represent the length of the side of the box and h to represent the height. (Round your answers to two decimal places.)
General
2 months ago
A common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight. Suppose that the percentage of no-shows at flight time is 4%. For a particular flight with 148 seats, a total of 150 tickets were sold. What is the probability that the airline overbooked this flight?
General
2 months ago
The difference of a number s and 6
General
2 months ago
Samantha owes $25.50, and borrows another $20.00. She pays $15.25 of her debt and then earns $45.00. later, Samantha pays $22.50 of her debt. how much debt does she still have to pay? show your work.
General
2 months ago
how to put it in scientific notation??
General
2 months ago
Without an appointment, the average waiting time in minutes at the doctor's office has the probability density function f(t)=152, where 0≤t≤52. Step 1 of 2: What is the probability that you will wait at least 38 minutes? Enter your answer as an exact expression or rounded to 3 decimal places.
General
2 months ago
Use counting arguments from the preceding chapter. My couch potato friend enjoys sitting in front of the TV and grabbing handfuls of 5 chocolates at random from his snack jar. Unbeknownst to him, I have replaced one of the 20 chocolates in his jar with a cashew. (He hates cashews with a passion.) How many possible outcomes are there the first time he grabs 5 chocolates?
General
2 months ago
Grades in large classes are sometimes approximately Normally distributed—a fact that serves as the justification for "grading on a bell curve." A common practice for very large classes is to give 16% of students A grades, 34% B grades, 34% C grades, and 16% D and F grades. Assuming a Normal distribution of grades, what are the z-scores for these letter grades?
General
2 months ago
Consider the following switch statement where x is an int. If x is currently equal to 5, what will the value of x be after the switch statement executes? switch (x) { case 3 : x += 1; case 4 : x += 2; case 5 : x += 3; case 6 : x++; case 7 : x += 2; case 8 : x--; case 9 : x++
General
2 months ago
What is the solution to the system of equations?2x – y = 7y = 2x + 3(2, 3)(2, 7)no solutioninfinite number of solutions
General
2 months ago
if the discriminant of an equation is zero, which of the following is true of the equation?a. it has one real solutionb. it has two complex solutionsc. it has two real solutionsd. it has one complex solution
General
2 months ago
Initially a pool contains 250 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.4 gallons of water per minute. Write a linear model that represents the amount of water, V, in the pool as a function of time, t, in minutes.
General
2 months ago
Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify the properties used and describe how you used them.1. 4 • (–3) • 52. (2.25 • 23) • 44. 5 • 12 • (–2)5. 35(26)(0)
General
2 months ago
Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She starts by assigning coordinates to a rectangle as shown. Then she uses the coordinates to write and simplify expressions for the lengths of the diagonals.What is the length of one of the diagonals of the rectangle?Enter an expression in the box for the length of the diagonal.
General
2 months ago
Shirley wants to buy a skateboard for $64. She has $98 in her account. She spent $10.85 to buy stationary. She also wants to buy some cookies for $1.65 each. What is the maximum number of cookies, n, that Shirley can buy so that she has enough money left to buy the skateboard? a. n ≥ 14 b. n ≤ 16 c.n ≤ 14 d.n ≥ 16
General
2 months ago
Haresh is writing a coordinate proof involving an isosceles triangle. Haresh places his triangle on the coordinate plane such that the base of the triangle lies along the x-axis.What coordinates should he assign to this third vertex of the isoceles triangle?(2a, b)(a/2, b/2)(a/2, b)(b, 2b)
General
2 months ago
This graph shows the cost of buying dried fruit.What is the slope of the line and what does it mean in this situation?Select from the drop-down menus to correctly complete each statement.The slope of the line is ____. This means that every of dried fruit costs $____.
General
2 months ago
a compound inequality is graphed, and its graph consists of all real numbers. which open sentence could have resulted in this solution set? r<6 or r>4r<6 or r<4r>6 or r<-4
General
2 months ago
Mohammad would like to graph the line that represents the total number of baseball cards he will have collected, T, after m months, given that he buys 5 cards each month and he started with no cards. He would like the graph to show the number of cards after 6 and 12 months. Select from the drop-down menus to correctly complete each statement. To best show this information, the scale for the T-axis of his graph should go from 0 to at least , and the m-axis of his graph should go from 0 to at least .
General
2 months ago
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