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72 students choose to attend one of three after school activities: football, tennis or running. There are 25 boys. 27 students choose football, of which 17 are girls. 18 students choose tennis. 24 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form. Consider a pure crystalline solid that is heated from absolute zero to a temperature above the boiling point of the liquid. Which of the following processes produces the greatest increase in the entropy of the substance? a) melting the solid b) heating the liquid c) heating the gas d) heating the solid 19,250.00 pounds of material were purchased at a cost of $2.40 per pound. All of the material purchased was used to produce 2,500 units of Zoom. 450 hours of direct labor time were recorded at a total labor cost of $4,500. Required: 1. Compute the materials price and quantity variances for the month. 2. Compute the labor rate and efficiency variances for the month. Solve : 1 | 0.2(m3)+ 1/4| =0 WILL GIVE BRAINLIEST!!!! A 555 wooden cube was painted and then sawed into 111 cubes.b. How many 111 cubes are completely unpainted?c. How many 111 cubes have exactly two faces painted? Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points) Help me pls idk how to due A particle moves along a straight line. The distance of the particle from the origin at time t is modeled by the equation below. s(t)equals2 sine t plus 3 cosine t Find a value of t between 0 and StartFraction pi Over 2 EndFraction that satisfies the equation s(t)equalsStartFraction 2 plus 3 StartRoot 3 EndRoot Over 2 EndFraction . Simplify [tex]$\frac{2\sqrt[3]9}{1 + \sqrt[3]3 + \sqrt[3]9}.$[/tex] $\frac{2\sqrt[3]9}{1 + \sqrt[3]3 + \sqrt[3]9}.$ Write a self-checked essay on how you think Kennan may have influenced the Truman Doctrine. How can we minimize the problem of power shortage? Suggeat the possible ways of solution please help me with this . If you live in a region that has a particular TV station, you can sometimes pick up some of its audio portion on your FM radio receiver. Explain how this is possible. Does it imply that TV audio is broadcast as FM You experiment by offering free warranties for your product in market A but not in market B. Sales in A rise from 240 to 360 units per week while sales in B rise from 410 to 430. The Difference-in-difference estimate of the effect of the free warranty is: 4 divided by 54.40[tex]4 \div 54.40 = [/tex] how do you solve these problems? What is the gradient and y intercept of the following lines 1) y= 2X + 3 2) y = 5X + 1 3) y= 3X + 2 After seeing the enormity of the giants, to what does Gulliver compre himself? Jonathan was laying on the ground and enjoying the shade but now the sun is shiningon him. He knows he is 10 yards away from the building that was shading the sun andthat the building is 8 yards high. At what angle does the sunlight hit the ground? Writeonly the number rounded to the nearest degree. convert this number to scientific notation 1260000