Answer:
the answer is c
Step-by-step explanation:
its the only one that makes sense
The number of throws that the player make X follows binomial distribution.
The probability that the player makes x throws out of eleven throws is
![P(X=x)=C(x,11)0.5^x(0.5)^{11-x}=C(x,11)0.5^{11}](https://tex.z-dn.net/?f=%20P%28X%3Dx%29%3DC%28x%2C11%290.5%5Ex%280.5%29%5E%7B11-x%7D%3DC%28x%2C11%290.5%5E%7B11%7D%20)
The probability that the player makes at most nine out of eleven free throws
is
![\sum_{x=0}^9C(x,11)0.5^{11}=1-\sum_{x=10}^{11}C(x,11)0.5^{11}\\ =1-C(10,11)0.5^{11}-C(11,11)0.5^{11}=1-\frac{12}{2^{11}} \\ =1-\frac{3}{512} =\frac{509}{512}](https://tex.z-dn.net/?f=%20%5Csum_%7Bx%3D0%7D%5E9C%28x%2C11%290.5%5E%7B11%7D%3D1-%5Csum_%7Bx%3D10%7D%5E%7B11%7DC%28x%2C11%290.5%5E%7B11%7D%5C%5C%20%3D1-C%2810%2C11%290.5%5E%7B11%7D-C%2811%2C11%290.5%5E%7B11%7D%3D1-%5Cfrac%7B12%7D%7B2%5E%7B11%7D%7D%20%5C%5C%20%3D1-%5Cfrac%7B3%7D%7B512%7D%20%3D%5Cfrac%7B509%7D%7B512%7D%20%20)
Correct choice is (B).
Answer:
Equal to each other
Step-by-step explanation:
I hope that helped!
267 supervisors will have 2670 employees.
Step-by-step explanation:
Let x be the number of employees.
Given,
3 supervisors = 30 employees
1 supervisor = ![\frac{30}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B3%7D)
1 supervisor = 10 employees
As one supervisor has 10 employees, 267 supervisors will have;
x = 267*10
x= 2670 employees
267 supervisors will have 2670 employees.
Keywords: Multiplication.
Learn more about multiplication at:
#LearnwithBrainly
Answer:
Y = 0.4925X - 22.26 ;
(-12.413, 13.398) ;
Yes, there is
Step-by-step explanation:
X = IQ Score ; Y = musical aptitude
The regression equation from the table given using the slope and intercept coefficient :
Y = 0.4925X - 22.26
0.4925 = slope ; Intercept = - 22.26
The 95% confidence interval of the slope :
Confidence interval = b ± Tcritical*SE
Tcritical at 95%, df = n - 2 = (20 - 2) = 18
Tcritical = 2.1009
b = slope Coefficient = 0.4925
S.E = 6.143
Hence, we have :
Confidence interval = 0.4925 ± (2.1009 * 6.143)
Confidence interval = 0.4925 ± 12.9058287
Lower boundary = 0.4925 - 12.9058287 = - 12.413
Upper boundary = 0.4925 + 12.9058287 = 13.398
(-12.413, 13.398)
There is a significant relationship between IQ score and musical aptitude because, 0 is within the confidence interval obtained.