<span>Each team in the softball league plays each of the other teams exactly once. For every game, there is 2 team playing. The order is not important because A vs B is same as B vs A
So you just need to makes a combination of 2 that have a result of 21. If there is t number of teams, the number of matches would be:
tC2 = t!/2!(t-2)! = 21
</span>t! / (t-2)! = 21 *2
(t)(t-1)= 42
t^2 -t -42=0
(t-7)(t+6)
t=7 ; t=-6
Excluding the minus result, you got 7 teams.
Answer:
12862.83cm³
Step-by-step explanation:
Volume of the Box: [L×W×H] or [30x30x30] or [27000cm³]
Volume of the Sphere: [
] (
=pi=3.14) (r=radius=15) or [
×3.14×3375] or [14137.17cm³]
Volume of the empty space: 27000cm³-14137.17cm³=12862.83cm³
Btw there are online tools to help you find the volume of a sphere (just use it after you understand the equation)
Hope I helped!
Answer:
Binomial probability, with 
Step-by-step explanation:
For each time Mookie Betts went to bat, there were only two possible outcomes. Either he got a base-hit, or he did not. The probability of getting a hit on each at-bat is independent of any other at-bat. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
His average was 0.352.
This means that 
Assume he has five times at bat tonight in the Red Sox-Yankees game.
This means that 
a. This is an example of what type of probability
Binomial probability, with 
I may help you, do you have discord? it would be better if we move it there, my user is ri#0511
Answer:
The equation that represents the graph is y = 40x
The new equation would be y = 45x
Step-by-step explanation:
As y increases by 40, x increases by 1, so 40/1, or 40
New equation: $90 per 2 months, y = 90, x = 2, 90/2 = 45