Out of 8 boys and 6 girls in a high school, a team of seven students is selected. what is the probability that three boys and four girls are selected? in your response, include an explanation and all of the calculations necessary to determine the probability.

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Find the greatest common factor of -30x 4 yz 3 and 75x 4 z 2.

Julie buys 2kg of apples and 7kg of pears ? 12.70. the pears cost ? 1.30 per kilogram what is the price per kilogram of the apples? show your working out