I made a guess to those 3 problems. Here is the answer:
- 1) suppose you draw a card from a well shuffled deck of 52 cards. find each of the following odds.
a)what are the odds against drawing a 3
b) what are the odds in favor of drawing a 3
c)what are the odds against drawing a black 5
d)what are the odds in favor of drawing a black 5
a) 48:4 = 12:1 = 12
b) 4:48 = 1:12 = 1/12
c) 50:2 = 25
d) 2:50 = 1/25
2) an executive committee consist of 13 members, 5 men and 8 women. 4 members are selected at random to attend a meeting in Hawaii. the names are XXXXX XXXXX the hat. what is the probability that all 4 selected are women?
8C4 / 13C4 = 70/715 = 14/143 = 0.097902.
3)find the missing angle measure. it is a triangle where one side is 95 and the other43
If it's a right triangle and the leg is 43, the hypotenuse is 95, then the missing angle between these two sides is 63.087 degree.
4)write the equation in the slope-intercept form and identify the slope and y-intercept of 3x+3y=14
a)the equation in slope-intercept form is y=
b)the slope is=
c)the y-intercept is=
•a) y = -x + 14/3
4find the radius of the circle with the given circumference of C=24#cm
If it's C = 24 pi, the radius is 12 cm.
5)maria needed 6 gallon of gas to fill her car's gas tank. the mileage odometer read 30,900 miles. when the odometer read 31,120, Maria filled the tank with 11 gallon. at the end of the trip, she filled the tank with 15 gallon, and the odometer read 31,435 miles. how many miles per gallon did she get for the entire trip?
(31435-31120) / 15 = 21
6) the sales force of a business consist of 10 men and 10 women. a production unit of 7 people is set up at random. what is the probability that it will consist of 2 men and 5 women?
10C2 * 10C5 / 20C7 = 0.14628
7)where do all the point in space equidistant from a given point lie?
8)find the surface areas of the figures on the right.
a)the surface area of the right rectangular prism is? 0f 12cm, 5cm,4cm
b)the surface area of the right cylinder of 5cm and 4cm
•a) 2*(12*5+12*4 + 5*4) = 256.
•b) 5*5*3.14*2 + 2*5*3.14*4 = 282.6
8)for the following sets of number, find the mean, median, and mode of 11, 13, 24, 9, 14, 10. what are the mean, the median and mode?
Mode: There is no mode.
9)how many different one to one correspondences could be listed between the vertices of two square and the vertices of two regular n-gons? (The term n-gon, where n is the number of the polygon's side)
0 if n ≠4,
8! = 40320 if n=4
10)find an equation of the circle having the given center and radius of Center(-3,1), radius sqroot ^5
(x+3)^2 + (y-1)^2 = 5
11) a 12 foot ladder leans against a wall at a 62 degree angle of elevation. find the distance from the ladder's base to the wall? round the answer to the nearest tenth
12)two round fountains are similar. one measure 4'1'' across and the other measure 7'3'' across. find the scale factor from the small one to the large one?
7'3'' / 4'1'' = 87/49
13)the eight grade class at a grade school has 12 girls and 13 boys. how many different boy-girl dates can be arrange?
12*13 = 156.
13)suppose 3 quarters, 10 dimes, 2 nickles and 5 pennies are in the box. one coin is selected at random. what is the expected value? the expected value of this experiment is $. round to the nearest cent
Total is 3+10+2+5 = 20.
Expected value is 0.25 * (3/20) + 0.1 * (10/20) + 0.05*(2/10) + 0.01*(5/20) = 0.1
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