Roll the dice 120 times
Number of outcomes from rolling the dice = 6
Probability of 4 falling in 1 roll = 1/6
Probability of the number of 4s in 120 rolls = 120 * 1/6
= 20 times
The probability that 4s falls in 120 dice rolls is 20 times.
Answer:
38 cents
Step-by-step explanation:
quarter= 25
nickles= 5
pennies= 1
5+5+25+3= 38
Answer:
7
Step-by-step explanation:
5x+3=38 subtract the 3 from the 38 leaving you with 35/5 getting you 7
Answer:
First choice is correct ∠A ≅ ∠D, ∠B ≅ ∠E, ∠c ≅ ∠F, AB = DE, BC = EF, AC = DF
Step-by-step explanation:
Given that triangles ABC and DEF are congruent. Now we need to choose correct congruency statements from the given choices.
We know that corresponding angles of congruent triangles are equal so we can write:
∠A ≅ ∠D
∠B ≅ ∠E
∠c ≅ ∠F
We know that corresponding sides of congruent triangles are equal so we can write:
AB = DE
BC = EF
AC = DF
comparing these with given choices we see that, First choice { ∠A ≅ ∠D, ∠B ≅ ∠E, ∠c ≅ ∠F, AB = DE, BC = EF, AC = DF} is correct.
Answer:
The crop yield decreased by 0.09 pounds per acre from year 1 to year 10
Step-by-step explanation:
The function that models the crops in pounds per acre over x years is
![f(x)=-x^2+20x+50](https://tex.z-dn.net/?f=f%28x%29%3D-x%5E2%2B20x%2B50)
In year 1, the crop yield is ![f(1)=-(1)^2+20(1)+50=69](https://tex.z-dn.net/?f=f%281%29%3D-%281%29%5E2%2B20%281%29%2B50%3D69)
In year 10, the crop yield is ![f(10)=-(10)^2+20(10)+50=150](https://tex.z-dn.net/?f=f%2810%29%3D-%2810%29%5E2%2B20%2810%29%2B50%3D150)
The average rate of change from year 1 to year 10 is given by:
![\frac{f(10)-f(1)}{10-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%2810%29-f%281%29%7D%7B10-1%7D)
We substitute the values to get:
![\frac{150-69}{10-1}](https://tex.z-dn.net/?f=%5Cfrac%7B150-69%7D%7B10-1%7D)
![=\frac{81}{9}=9](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81%7D%7B9%7D%3D9)
Since the average rate of change is positive, the crop yield decreased by 0.09 pounds per acre from year 1 to year 10.