According to an​ airline, flights on a certain route are on time 80 ​% of the time. suppose 10 flights are randomly selected and the number of​ on-time flights is recorded. ​(a) explain why this is a binomial experiment. ​(b) find and interpret the probability that exactly 7 flights are on time. ​(c) find and interpret the probability that fewer than 7 flights are on time. ​(d) find and interpret the probability that at least 7 flights are on time. ​(e) find and interpret the probability that between 5 and 7 ​flights, inclusive, are on time.

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general 11 months ago 2058

You and a friend race each other. You give your friend a 50-foot head start. The distance y (in feet) your friend runs after x seconds is represented by the linear function y=14x+50 . The table shows the distances you run.Time (seconds) x : 2, 4, 6, 8Distinct (feet) y : 38, 76, 114, 152A. what is the rate per second.B. Write a linear function that relates your distance to the number of seconds. In the same coordinate plane, graph the linear functions that represent the distances of you and your friend.

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general 11 months ago 1014

Polygons EFGH and E'F'G'H' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon EFGH is shown with vertex E on ordered pair 2, 2, vertex F on ordered pair 2, 4, vertex G on ordered pair 3, 1 and vertex H on ordered pair 3, 5. A polygon E prime F prime G prime H prime is shown with vertex E prime on ordered pair negative 1, 2, vertex F prime on ordered pair negative 3, 2, vertex G prime on ordered 0, 3, and vertex H prime on ordered pair negative 4, 3. What set of transformations is performed on EFGH to form E'F'G'H'? A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin followed by a

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general 11 months ago 1374

Jack just opened a checking account at the bank. Within the first month, he deposited three checks for$34.98, $51.02, and $51.22. He withdrew $3.23 for new pencils, $4.22 for cards, and $9.79 for movies fromhis account in the same month.(a) Write Jack's withdrawals as negative rational numbers and his deposits as positive rational numbers.(b) Order the rational numbers from least to greatest and explain your reasoning. (c) At the beginning of the month Jack’s balance was $98. What was his balance at the end of themonth after all of his deposits and withdrawals? Show your work, no credit will be given for just ananswer please help 50

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general 11 months ago 2015

Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of air and water while using less than 49 Joules of energy. 12A+8W > 343 represents the number of minutes the robot filters air A and water W to filter more than 343 liters of air and water. 3A+4W < 49presents the number of minutes the robot filters air and water while using less than 49 Joules of energy. Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15 minutes?

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general 11 months ago 4757