Answer:
20*30km = 600km
15*30km = 450km
600km * 450km = 270000 km^2
Step-by-step explanation:
assuming 1cm --- 30km causes that 2cm --- 60km, 3cm --- 90km, 4cm --- 120km etc. Notice that number of km's is 30 times greater than the number of cm's on a map
using this logic, you calculate both real dimensions of Colorado by multiplying 20*30 = 600 km and 15*30 = 450km
Then we use a formula of an area of a rectangle 
assuming 
and get 
which is an actual area of Colorado
4x - 1 < 11
Add 1 to both sides
4x < 12
Divide both sides by 4
x < 3
x is less than 3
Answer: First of all, we will add the options.
A. Yes, because 3 inches falls above the maximum value of lengths in the sample.
B. Yes, because the regression equation is based on a random sample.
C. Yes, because the association between length and weight is positive.
D. No, because 3 inches falls above the maximum value of lengths in the sample.
E. No, because there may not be any 3-inch fish of this species in the pond.
The correct option is D.
Step-by-step explanation: It would not be appropriate to use the model to predict the weight of species that is 3 inches long because 3 inches falls above the maximum value of lengths in the sample.
As we can see from the question, the model only accounts for species that are within the range of 0.75 to 1.35 inches in length, and species smaller or larger than that length have not been taken into consideration. Therefore the model can not be used to predict the weights of fishes not with the range accounted for.
Step-by-step explanation:
Let's represent the number of mochas bought with the variable 
, and the number of lattes bought with the variable 
.
Since there are 
students, the total number of mochas and lattes bought must be . This can be represented with the following equation:
We can also set up another equation based on the total amount spent on the coffe:
If we rearrange the first equation, we can solve for :
If we substitute this into the second equation, we can solve for :
Subtituting this back into the original equation, we can solve for :
Therefore, 9 mochas and 14 lattes were bought.
5 of the 6 exits were men, so the experimental probability that a man exits the room is 5/6.
