A student is studying mathematics and chemistry. The probability that he passes mathematics is 0.75, the probability that he fails chemistry is 0.2, and the probability that he passes mathematics but fails chemistry is 0.05. Find the probability that he passes both courses. Write as a decimal to two places. There is nothing to enter for this problem. Q Search Time Remaining: 00:52:51 DUE AUG 14 11:59 PM Next Score:--

Susan took two tests. The probability of her passing both tests is 0.6. The probability of her passing the first test is 0.8. What is the probability of her passing the second test given that she has passed the first test?   Please answer in 4 decimal places

At Janice's current age she is not only 5 times as old as Ross, but she is also 28 years older than Ross. How old is Janice ? Janice is years old. Type here to search de

A number, x, is 3 when rounded to one significant figure. It is 2.9 when rounded to two significant figures. It is 2.90 when rounded to three significant figures. State the smallest possible value of x.

studies have shown that heating the scrotum by just 1 degree C can reduce sperm count and sperm quality. A new study suggests that men also keep their laptop off thier laps. The study measured scrotal temp. in 29 healthy males as they sat with legs together and a laptop on the lap. Temp. increase in the left scrotum over a 60 minute session is given as 2.31 +\-0.96 and a note tells us that "temp. are given as degree C; values are shown as mean +\- SD (standard deviation). {Men who sit with thier legs together without a laptop do not show an increase in temp.} (a) assume that the distribution of the temp. increases for the 29 males is symmetric and bell-shaped, find an interval that we expect to contain about 95% of hte temp. increases. (b) Find and interpret the z-score for one of the men, who had a temp. increase of 4.9

A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another officer 30 mi along the highway. When the car reached the location of the second officer 22 min later, it was clocked going 60 mi/hr. The driver of the car was given a ticket for exceeding the 60 mi/hr speed limit. Why can the officer conclude that the driver exceeded the speed limit? Select the correct answer below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.) A. The officer can conclude the driver exceeded the speed limit because, by the Extreme Value Theorem, at some time c, the car was travelling at a speed of miles per hour. B. The officer can conclude the driver exceeded the speed limit because, by the Mean Value Theorem, at some time c, the car was travelling at a speed of miles per hour. O C. The officer can conclude. the driver exceeded the speed limit because, by Rolle's Theorem, at some time c, the…

Big Bear lake has 22 miles of shoreline and is an ideal place for paddle boarders. A researcher wants to know if the time it takes to paddle board across Big Bear Lake decrease when the paddle boarder listens to music? Nine paddle boarders were timed as they paddle boarded across Big Bear Lake while listening to music and again while not listening to music. The resulting times, in minutes, are shown in the table below. Paddle Boarding Time to Cross Big Bear Lake Listened to Music No Music 44 38 49 50 40 45 45 41 54 47 44 52 50 42 53 44 47 59 Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance? For this study, we should use t-test for the difference between two dependent population means a. The null and altenative hypotheses would be: Ho: pd H: pd μα b. The test statistic t v= -3.600 (please round your answer to 3 decimal places.) %3D c. The p-value = 0.0035 (Please round your answer to 4 decimal places.) d. The p-value is sva e. Based on this,…

Solve.  d=nzx, for x

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alculate d for each patient by subtracting the number of hours of sleep with the drug from the number without the drug.