Answer:
the theoretical probability is 1/5.
the experimental probability is 3/10.
chances are the experimental probobility will approach the theoretical probobility.
Step-by-step explanation:
since blue is one of five equal sizes, the probobility that it will land on blue is 1/5.
the expiromental probobility is the number of times it landed on blue devided by the number of spins. 15/50. this can be simplified by pulling out a 5, leaving us with 3/10.
last it stands to reason that the more times the spinner is spun the closer the experimental probability will model the theoretical probability.
Answer:
We can start by rewriting the initial equation x +10y=260 in order to express how y depends on x.
This is a linear function ( it's a straight line). Linear functions have two intercepts, y and x.
To find x-intercept (also called zero of a function) we set y=0 and we solve for x.
This means that at x=260 our function has a value of 0. y(x) represents a distance from the school. This means that when y(x) is 0 our athlete reached school (finished the race), so this also answers your second question. The time it takes an athlete to finish the race is 260 minutes.
The y-intercept a value of our function at x=0. This gives us a distance of our athlete from the school at the start of the race. We find this by plugin x=0 in our equation. We get that y=26 when x=0. This makes perfect sense. Our athlete is 26 miles away from high school at the start of the race.
Step-by-step explanation:
Answer:
Answer:
Option (b) is correct.
4x + 6y < 120 inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation.
Step-by-step explanation:
Given: A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours.
We have write an inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation and choose the correct option from given options.
Let x represents the small rugs and y represents the medium rugs.
Also, x + y ≥ 20 represents the dyers have to make at least 20 rugs.
And it is given that a small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing and that they must do it in less than 120 hours.
So, time taken to dye x small rugs = 4x
also, time taken to dye y medium rugs = 6y
And they have maximum of 120 hours.
So this inequality is represented by 4x + 6y < 120
The answer is: 4x + 6y < 120
Answer:
.05 is greater
Step-by-step explanation:
Answer:
C) To square a number, multiply the number by itself.
Step-by-step explanation:
A) is incorrect because square roots are made by multiplying the number to itself.
2 × 2 is the same as 2²
3 × 3 is the same as 3²
4 × 4 is the same as 4²
2² = 4
3² = 9
4² = 16
B) is incorrect because the inverse of squaring is finding the square root.
2² inverse is √4
3² inverse is √9
4² inverse is √16
D) is incorrect because perfect squares can be odd or even
A perfect square is a number made by squaring a whole number.
4, 9, 16, 25, 36, 49, 64, 81, 100, 121, and 144 are all examples of perfect squares.