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Questions in Grade High-school

[Open]You apply to 20 graduate programs, 10 of which are in clinical psychology, 5 are in counseling, and 5 are in social work. You receive a message from your roommate that you got a letter back from a grad school, but she doesn’t say which one. Calculate the probabilities that the letter is from: a. A clinical program b. A counseling program c. Anything but a social work program

[Open]The measure of each angle of a triangle is a multiple of 30°. What is the probability that the triangle has at least two congruent angles?

[Open]What property justifies the following statement? If \(4x + 6 = 20\), then \(4x = 14\).

[Open]How is \(0.00025\) written in scientific notation?

[Open]Find the area of the dial if the radius of the world's longest clock is 7.7 units.

[Open]What is the solution for the system of equations? 1. \( x = 5y - 1 \) 2. \( x + 2y = 13 \)

[Open]How did the Three-Fifths Compromise satisfy both the North and the South?

[Open]how do you write the cos 18° in terms of the sine.

[Open]How is the road like cytoplasm?

[Open]If a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served, and you know that the cost for 100 students is $750 and the cost for 150 students is $1050, find the caterer's fixed cost and the cost per student served.