The probability that the sum of the dice is 7 is 1/2 because there are only three combinations that result in the sum of 7: (1,6)(2,5) and (3,4). But there are 6 possible outcomes( this is if you don’t add reverse combinations such as 1,6 and 6,1) so the probability would be 3/6 or 1/2
Answer:
The building is 187.5 feet tall.
Step-by-step explanation:
A nearby person is 6 feet tall, and casts a shadow that is 8 feet long.
This means that the relation between the real height and the shadow is given by:

A tall building casts a shadow that is 250 feet long. How tall is the building?*
The real height is three fourths of the shadow. So

The building is 187.5 feet tall.
Question 1:
F(x) and g(x) are like variables, just plug into the equation.
f(x) + g(x) = (x + 6) + (12x - 7)
x+6+12x-7 = 13x-1
Question 2: f(3) + g(-1)
You plug in the x-values into the equation, and then take the answer and add them together.
f(3) = 3+4
g(-1) = 12(-1)-6
f(3) = 7
g(-1) = -18
7 + (-18) = -11
Question 3:
This is similar to question 1, plug in the variables and simplify.
9x - (7x+3)
Remember to distribute the "-"
9x - 7x - 3
2x - 3
3 is in the hundred millions
The average rate of change for the height of the plant measured in centimeters per day between day 0 and day 20 is 1.32 cm per day.
<h3>What is average height?</h3>
The average height is the ratio of change in height of the plant and the time taken taken for that change.
Given is the height of a plant in centimeters is modeled as a function of time, in days.
For day 0, the height is 18cm and the height for day 20 is 42 cm, then the average height change is
height per day = 42 - 18/ 20 -0
height per day = 1.2 cm/day
Thus, the average height of plant is 1.2 cm/day.
Learn more about average height.
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