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Probability/Statistics
100

Identify the slope and y-intercept in the given equation.

y = (-2/3)x - 5

Slope = (-2/3)

y intercept = -5

100

What is the domain and range of the given function?

y = (-1/2)sqr(x)

X is all real numbers greater than or equal to 0

y is all real numbers less than or equal to 0

100

What Is the corresponding sides for Sine, Cosine, and Tangent?

Sine = Opposite, Hypotenuse

Cosine = Adjacent, Hypotenuse

Tangent = Opposite, Adjacent

100

Find the Product:

(2n-6)(2n+6)

4n^2 - 36

100
This is the term meaning when two events cannot happen at the same time.

What is mutually exclusive?

200
What is the discriminant of the equation?


0.2x^2 - 1.5x + 2.9 = 0

No real solutions. (-0.07)

200

What is the excluded values in the given equation.

y = x/(2x-8)

X = 4

200

9√2(4√6)

72√3

200

Factor the polynomial:

6x^2 + 21x - 90

3(2x-5)(x+6)

200

Determine whether a survey, an observational study or an experiment is best and explain why.

Jaime finds 50 students half of whom volunteer at a homeless shelter and compares their gpa, extra curricular activists, and involvements in school Clubs.

Observational study. They are being observed And compared without them being affected by the study.

300

Solve for the equation:

y^2 + 2y -15 = 0

(-5,3)

300

Find the vertex, axis of symmetry, y-intercept of the graph of the equation.

y = 4x^2 + 16x - 6

Vertex: (-2,-22)

Axis of Symmetry: x = -2

Y-intercept = -6

300

Solve for K:

√(k+1) = k - 1

K = 3

300

A machine throws a t-shirt into a crowd. It’s height can be calculated using the formula h= -16x^2 +34x + 4. What is the initial height of the machine.

4 units.

300

Identify the sample and population: A music store asks its customers to submit suggestions for local bands that should play on Friday Nights. 

Sample: The customers who submit suggestions

Population: All customers.

400
Find the Mean Absolute Deviation of the set of numbers.


16, 24, 15, 17, 22, 16, 18, 24, 17, 13, 25, 21

3.5

400
Identify the asymptote of the given function.


y = [2/(x-8)]-3

X = 8

y= -3

400

If c is the measure of the hypotenuse, find each missing measure Of the triangle.

a = 8, b = x, c = (x+2).

B = 15: C = 17

400
The height h of a ball bounced off the ground after t seconds is modeled by the equation h = -16t^2  + 28.8t. What is the hight of the ball at 1.5 seconds?

7.2 feet.

400

Give the expected value and interpret the results.

Kyle entered a drawing at the county fair in which it costs 5 dollars to enter.

Prize Value > Probability

$20 > 1 in 50

$50 > 1 in 100

$100 > 1 in 250

$250 > 1 in 1000

Expected value is: $1.55

Interpretation: Kyle would be losing money by entering and the county fair would be making money.

500

Compare to the parent graph. State the domain and range.

Y = 2 x sqr(x-2)

Stretched vertically, and translated right 2 units.

Domain = x is all real numbers greater than or equal to 2

Range = y is all real numbers greater than or equal to 0

500

Graph the given piecewise function.

f(x) = (1.) 3x +2 if x > -1  (2.) (-1/2)x - 3 if x <= -1

See picture.

500

Find the measure of the missing sides. Picture given.

angle J = 22 degrees. JK = 8.3, KL = 3.4

500

An apple fell 25 feet from a tree. The formula h = -16t^2 + 25 can be used to approximate the number of seconds it will take the apple to hit the ground. If you catch it at 4 feet, how long did the apple drop? 

1.14 seconds.

500

Find the standard deviation for the set of numbers.

110, 123, 147, 119, 153, 142, 113, 143

16.81