Calculating the probability from a given situation.

Records at a high school indicate that each year for the past five years, 120 of the 1,500 students were absent on the first day of hunting season. What is the likelihood that a particular student will be absent on the first day of hunting season this year? a. 0.08 b. 0.12 c. 0.18 d. 0.20

Calculating the probability from a given ball situation.

Six red balls and four blue balls are placed on a container. The probability that the first ball drawn from the container is blue is: a. 0.286 b. 0.40 c. 0.60 d. 0.67

Calculating the probability that an observation is between a selected range. Data table is in JPG format.

The probability that a selected observation is between 40 and 50 is: a. 0.25 b. 0.30 c. 0.40 d. 0.65 See attachment

Calculating the probability that an observation is below a certain number. Data table in JPG format.

The probability that a selected observation is less than 50 is: a. 0.30 b. 0.40 c. 0.70 d. 40% Please see the attached chart.

Calculating the probability that an observation is within a certain range. Data table is in JPG format.

The chance that a selected observation is greater than 39 but less than 60 is: a. 0.20 b. 0.40 c. 30% d. 50% e. 70% Please see the attached chart.

Finding the roots in complex equations.

Find all the zeros (both real and complex) of f(x)= x^5 - 3x^4 + 12x^3 - 28x^2 + 27x -9

Finding the slope of a line given a line equation and rearranging to standard form : y-6 = -2/3(x+3)

How do I find the slope? y-6 = -2/3(x+3)

Bacterial growth word problem using logarithms.

The number of bacteria N in a culture is given by the model N=250e^kt, where t is the time in hours, with t=0, corresponding to the time when N=250. When t=10, there are 280 bacteria. How long does it take the population to double in size? To triple in size?

Constraints

Sketch the region determined by the constraints. Then find the minimum and maximum values of the objective function, subject to the indicated constraints. Objective function z=x Constraints x>=0 y>=0 2x + 3Y <= 60 2x + y <= 28 4x + y <= 48 thanks

Looking for the value of x.

If x times 5 gives the same result as x less than 5, what is the value of x? (A)5 (B)6 (C)4/5 (D)5/6 (E) -5/4