Answer:
Number = 24
Step-by-step explanation
it is the smallest possible number
Probabilities are used to represent the possibilities of events.
The probability that a student participates in a club given that he participates in sports is 0.6561
The required probability is represented as; P(Club | Sport)
And it is calculated using:
![P(Club | Sport) = \frac{n(Club\ n\ Sport)}{n(Sport)}](https://tex.z-dn.net/?f=P%28Club%20%7C%20Sport%29%20%3D%20%5Cfrac%7Bn%28Club%5C%20n%5C%20Sport%29%7D%7Bn%28Sport%29%7D)
From the table, we have:
![n(Club\ n\ Sport) = 620](https://tex.z-dn.net/?f=n%28Club%5C%20n%5C%20Sport%29%20%3D%20620)
![n(Sport) = 945](https://tex.z-dn.net/?f=n%28Sport%29%20%3D%20945)
So, the equation becomes
![P(Club | Sport) = \frac{620}{945}](https://tex.z-dn.net/?f=P%28Club%20%7C%20Sport%29%20%3D%20%5Cfrac%7B620%7D%7B945%7D)
![P(Club | Sport) = 0.6561](https://tex.z-dn.net/?f=P%28Club%20%7C%20Sport%29%20%3D%200.6561)
Hence, (d) 06561 is correct.
Read more about probabilities at:
brainly.com/question/24297863
Answer:
6 mph
Step-by-step explanation:
If x is the rate of boat (given x = 28)
and c is the rate of Gulf Stream (we need to find this)
The rate downstream is with the current, that is
x+c
THe rate of upstream is against the current, that is
x-c
We also know D = RT
D is distance
R is rate
T is time
It takes same time, so we can say:
t = D/R
So we can equate both to:
![\frac{170}{x+c}=\frac{110}{x-c}\\\frac{170}{28+c}=\frac{110}{28-c}](https://tex.z-dn.net/?f=%5Cfrac%7B170%7D%7Bx%2Bc%7D%3D%5Cfrac%7B110%7D%7Bx-c%7D%5C%5C%5Cfrac%7B170%7D%7B28%2Bc%7D%3D%5Cfrac%7B110%7D%7B28-c%7D)
We can cross multiply this and solve for c:
![\frac{170}{28+c}=\frac{110}{28-c}\\170(28-c)=110(28+c)\\4760-170c=3080+110c\\1680=280c\\c=6](https://tex.z-dn.net/?f=%5Cfrac%7B170%7D%7B28%2Bc%7D%3D%5Cfrac%7B110%7D%7B28-c%7D%5C%5C170%2828-c%29%3D110%2828%2Bc%29%5C%5C4760-170c%3D3080%2B110c%5C%5C1680%3D280c%5C%5Cc%3D6)
The speed of current (rate of Gulf Stream) = 6 miles per hour
Answer:
37
Step-by-step explanation:
90-83+30=37
Answer:
11. yes because they both equal 6975757441
12. no it it equal to 1/9 not 9
14.) a. yes it is equivalent to 3^4
(32)(38) / (33)2 =81
3^4 = 81
b. no it is not equivalent to 3^4
( 39 / (3^5)(3^6) )^2 = 1 / 81
Step-by-step explanation:
I hope this helps!