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General
You need to pump water out of a flooded basement, using two 50-gallon-per-minute (gpm) pumps. The basement has the dimensions shown and is flooded to a depth of 16 inches. How long will it take to pump the water out of the basement?
General
2 months ago
Evaluate the line integral, where C is the given curve. C sin(x) dx + cos(y) dy, where C consists of the top half of the circle x2 + y2 = 16 from (4, 0) to (−4, 0) and the line segment from (−4, 0) to (−5, 4)
General
2 months ago
Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coordinate plane as kites BRAD and KELY, respectively:Kites ADBR and KELY are shown on a coordinate plane. The vertices of ADBR are A is at 5, 2. D is at 1, 4. B is at 5, 6. R is at 6, 4. The vertices of KELY are K at 7, 10. E at 10, 11. L at 13, 10. Y at 10, 1. Which statement is correct about the two kites? They are similar because Segment BR to segment DB is 1:3 and Segment KE to segment YK is 1:3 They are similar because Segment BR to segment DB is 1:2 and Segment KE to segment YK is 1:2. They are not similar because Segment BR to segment DB is 1:2 and Segment KE to segment YK is 1:3. They are not similar because Segment BR to segment DB is 1:3 and Segment KE to segment YK is 1:2.
General
2 months ago
HELP!!!!!!!This experiment will demonstrate how the volume of water changes when it changes from liquid to solid state, or freezing. The materials for this experiment are a large round balloon, water, marker, tape measure, and freezer. our job is to observe the experiment and collect your own data from this demonstration. Start with a round water balloon filled with water. Make sure that there is no air in the water balloon. Draw a line around the equator, or center of the balloon. Measure the circumference of the balloon where you drew the line with the tape measure.The line around the balloon is measured with a tape, the results are 39.5 cm. Then put the balloon in the freezer for 24 hours, until it is completely frozen. The balloon is now frozen, again measure the circumference of the balloon around the line you drew before. The line around the balloon is now 41.2 cm. Compare the circumference of the balloon before and after freezing. WHAT IS THE PERCENT INCREASE IN THIS MEASUREMENT?
General
2 months ago
Which is a disadvantage of using a credit card as a payment method?Convenient to carry around.Allows you to delay payment.Can be used to buy things online.Charges interest if balance is not paid each month.
General
2 months ago
A ship travels 200 miles due west, then adjusts its course 30° north of west. The ship continues on this course for 30 miles. Approximately how far is the ship from where it began?
General
2 months ago
Question 8(Multiple Choice Worth 4 points) (05.01) A pair of linear equations is shown below: y = −2x + 3 y = −4x − 1 Which of the following statements best explains the steps to solve the pair of equations graphically?
General
2 months ago
A community action committee is planning a block party. The party will be successful only if at least 70 adults and children attend. Their budget for the party is $1,000, the cost for each adult will be $15, and the cost for each child will be $4. Which system of inequalities models this situation? A. a + c ≥ 70; 15a + 4c ≤ 1000 B. a + c ≤ 70; 15a + 4c < 1000 C. a + c ≥ 1000; 15a + 4c ≤ 70 D. a + c ≤ 70; 15a + 4c ≥ 1000
General
2 months ago
Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled t-test and the nonpooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x overbar 1equals11, s 1equals3, n 1equals25, x overbar 2equals10, s 2equals8, n 2equals20 a. Right-tailed test, alphaequals0.05 b. 90% confidence interval a. What are the hypotheses for the t-test? A. H0: mu1equalsmu2 Ha: mu1not equalsmu2 B. H0: mu1equalsmu2 Ha: mu1greater thanmu2 Your answer is correct.C. H0: mu1equalsmu2 Ha: mu1less thanmu2 D. H0: mu1greater than or equalsmu2 Ha: mu1less thanmu2 Find the test statistic. tequals . 530 (Round to three decimal places as needed.) Find the P-value. Pequals . 3006 (Round to four decimal places as needed.) What is the conclusion of the hypothesis test? A. Reject H0. There is insufficient evidence that mu1 is greater than mu2. B. Do not reject H0. There is sufficient evidence that mu1 is greater than mu2. Your answer is not correct.C. Do not reject H0. There is insufficient evidence that mu1 is greater than mu2. This is the correct answer.D. Reject H0. There is sufficient evidence that mu1 is greater than mu2. b. The 90% confidence interval is from nothing to nothing. (Round to three decimal places as needed.)
General
2 months ago
Emily has a jag of water, a hollow glass cone, and a hollow glass cylinder to conduct an experiment. If the cone and cylinder both have the same radius and height, which of the following is TRUE?
General
2 months ago
Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both execute a second run, and so on). On each run, M1 fails with probability p1 and M2 fails with probability p2, all failure events being independent. Let the random variables X1, X2 denote the number of runs until the first failure of M1, M2 respectively; thus X1, X2 have geometric distributions with parameters p1, p2 respectively. Let X denote the number of runs until the first failure of either machine. Compute the distribution of X. What is its expectation?
General
2 months ago
Can someone help answer this question Ive tried a lot and couldnt do it. Find the surface area of each figure. Round the answer to two decimal places. (use π = 3.14) Do not include units of measure in your answer.PIctrue down below
General
2 months ago
Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes The probability is ?
General
2 months ago
Cards are drawn from a standard 52-card deck until the third club is drawn. After each card is drawn, it is put back in the deck and the cards are reshuffled so that each card drawn is independent of all others. (a) Find the probability that the 3rd club is drawn on the 8th selection. (b) Find the probability that at least 8 cards are drawn before the 3rd club appears. (c) Repeat parts (a) and (b) if the cards are drawn without replacement. That is, after each card is drawn, the card is set aside and not replaced in the deck.
General
2 months ago
If you want to produce an open-top box from a 16 in by 22 in flat piece of cardboard, what is the maximum possible volume (in in3) of the box? Round your answer to the nearest whole number and omit units.
General
2 months ago
Inside a toy truck, there is a gear that rotates to (3, −8) when the steering wheel is turned to the left. What is the sine value of this function? 3 square root of 73 over 73 negative 8 square root of 73 over 73 3 −8
General
2 months ago
Solve the following systems of equations.A) 6x+15y+12z=12B) 3x-9y-3z=15C) 3x+12y+3z=3Possible Answers:A. x=33/10 , y=1/5 , z=1/2B. x=67/10 , y=3/5 , z=1/10C. x=33/10 , y=-3/5, z=1/10D. x=-33/5 , y=-3/5 , z=1/5
General
2 months ago
a group of friends ate dinner at the fair last night. the function g(x) represents the amount of money spent in dollars where x is the number of friends. does a possible solution of (12.5, $139.50) make sense for this function?
General
2 months ago
The terminal side of angle theta in standard position passes through the point (8/17, 15/17)on the unit circle.Find cos thetaSin thetaTan theta Sec thetaCot thetaCsc theta
General
2 months ago
Variables A and B are normally distributed. Variable A has a mean of 50 and a standard deviation of 10. Variable B has a mean of 80 and a standard deviation of 20. If the probability that A is at or below the number x is 0.20, and the probability that B is at or above the number y is 0.40, what is the value of y – x ?
General
2 months ago
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