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MATH SOLVE
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(a) A random sample of 10 houses in a particular area, each of which is heated with natural gas, is selected and the amount of gas (therms) used during the month of January is determined for each house. The resulting observations are 125, 103, 118, 109, 122, 82, 99, 138, 151, 149. Let μ denote the average gas usage during January by all houses in this area. Compute a point estimate of μ.
General
5 months ago
Do the sample variances target the value of the population variance? In general, do sample variances make good estimators of population variances? Why or why not? A. The sample variances do not target the population variance, therefore, sample variances do not make good estimators of population variances. B. The sample variances do not target the population variance, therefore, sample variances make good estimators of population variances. C. The sample variances target the population variances, therefore, sample variances make good estimators of population variances. D. The sample variances target the population variance, therefore, sample variances do not make good estimators of population variances.
General
5 months ago
A carpenter measured the dimensions of the floor in a rectangular room. He rounded the measurements to thenearest foot and recorded them as shown.width = 9 feetlength = 15 feetBased on the rounded measurements, which of the following statements could be true?A) The actual width of the floor is 8 feet 4 inches,B) The actual length of the floor is 15 feet 5 inches.C) The actual area of the floor is 149.5 square feet.D) The actual perimeter of the floor is 44 feet 10 inches.
General
5 months ago
If it rains, I do not go sailing. It rains 10% of days; I go sailing 3% of days.If it does not rain, what is the (conditional) probability that I go sailing?Written "p(I go sailing | it does not rain)''?a. 3.448%b. 3.125%c. 3.000%d. 3.333%
General
5 months ago
Connor wants to attend the town carnival. The price of admission tothe carnival is $4.50, and each ride costs an additional 79 cents.If he can spend at most $16.00 at the carnival, which inequality canbe used to solve for r, the number of rides Connor can go on, andwhat is the maximum number of rides he can go on?(1) 0.79 + 4.50r ≤ 16.00; 3 rides(2) 0.79 + 4.50r ≤ 16.00; 4 rides(3) 4.50 + 0.79r ≤ 16.00; 14 rides(4) 4.50 + 0.79r ≤ 16.00; 15 rides
General
5 months ago
Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list she doubts the authenticity of the list. She randomly selects five names from the list for validation. If 40% of the names on the list are not authentic, and X is the number of non-authentic names in her sample, P(X=0) is (use calculator) a. 0.8154. b. 0.0467. c. 0.0778. d. 0.4000.
General
5 months ago
In a class of 40 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose to raise his or her hand. Seven hands go up. Then the professor asked everyone with a pierced ear to do likewise. This time there are 36 hands raised. How many students have piercings both on their ears and their noses?I would think the obvious answer could be 7 but not necessarily. Can anyone help me with this formula?
General
5 months ago
Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Terraza blend with the Kona blend, but always in the same proportion. Yesterday, you mixed 70 pounds of the Terraza blend with 21 pounds of the Kona blend. Today, there is 20 pounds of the Terraza coffee left in stock. How many pounds of the Kona coffee should you mix with it to get your secret blend?
General
5 months ago
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?(A) 6(B) 8(C) 16(D) 24(E) 32
General
5 months ago
An orchard contains 30 apple trees, each of which yields about 450 apples over the growing season. The owner plans to add more trees, but each new tree will reduce the average yield per tree by about 8 apples over the season. How many trees should be added to maximize the total yield of apples? What would be the maximum yield for the apple orchard for the season?
General
5 months ago
Olivia started her banking account with $100 and is increasing the account $20 per month. The independent variable
General
5 months ago
Marlow is comparing the prices of two truck rental companies. Company A charges $3 per hour and an additional $75 as service charges. Company B charges $2 per hour and an additional $85 as service charges. Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a truck for 5 hours? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a truck for 3 hours
General
5 months ago
Find the exact value of cot60°.
General
5 months ago
The law of cosines is used to find the measure of Q.242 = 202 + 342 – 2(20)(34)cos(Q)576 = 400 + 1156 – (1360)cos(Q)576 = 1556 – (1360)cos(Q)–980 = –(1360)cos(Q)To the nearest whole degree, the measure of angle Q _____ is degrees
General
5 months ago
Jenny earned a 77 on her most recent test. Jenny’s score is no less than 5 points greater than 4/5 of Terrance’s score. If t represents Terrance’s score, which inequality represents the situation?
General
5 months ago
Jason draws a line in the sand at the beach. The line is 7/8 ft long. He wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?
General
5 months ago
3.5 times (5.8 - 7.09)
General
5 months ago
What is the justification for each step in solving the inequality?−5(4x+6)<−18x+6+4xSelect from the drop-down menus to correctly justify each step. *Answer choices are in parentheses* −5(4x+6)<−18x+6+4x Given−20x−30<−18x+6+4x (Combine like terms) (Distributive Property) (Subtraction Property of Order) −20x−30<−14x+6 Combine like terms−6x−30<6 (Addition Property of Order) (Division Property of Order) (Multiplication Property of Order) −6x<36 (Addition Property of Order) (Division Property of Order) (Multiplication Property of Order)x>−6 Division Property of Order
General
5 months ago
Helppppp! After 2 1/4 h, a chainsaw has used 2 13/16 gal of fuel.How many gallons of fuel did the chainsaw use each hour?Enter your answer as a mixed number in simplest form.
General
5 months ago
The height of a rocket a given number of seconds after it is released is modeled by h (t) = 6t2 + 32t + 10. What does t represent?
General
5 months ago
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