Your class just took your last math test of the year these are the scores 97 99, 81, 78, 73, 95,33, 97,64, 100, 85, 83, 85, 88, 79, 81, 93, 86, 83, and 71. What is the mean, median, and mode of the data ?

Step-by-step explanation:

1. Put them in order from least to greatest first

33, 64, 71, 73, 78, 79, 81, 81, 83, 83, 85, 85, 86, 88, 93, 95, 97, 97, 99, 100

2. Mean

Add them all, the divide the sum by the total number of grades

33+64+71+73+78+79+81+81+83+83+85+85+86+88+93+95+97+97+99+100= 1566

1566/20= 78.3

3. Median

Find the number in the middle, if there's two, add them and divide by two

83+85= 168

168/2= 84

4. Mode

Find the numbers that reoccurs the most

81, 83, 85, 97

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true