Answer:

Step-by-step explanation:
We have that, a die is rolled once.
As, the total outcomes can be 1, 2, 3, 4, 5, 6.
So, the probability to obtain 2 is
and the probability to obtain 6 is
.
Thus, the probability of rolling 2 or 6 after rolling a die once will be
i.e.
.
Hence, the probability of rolling a 2 or 6 is
.
the correct question is
The midpoint of kl is m(–8, 1). one endpoint is k(–6, 5). find the coordinates of the other endpoint l.
we know that
the formula of midpoint is
Xm=(x1+x2)/2----> 2*Xm=x1+x2------> x2=2*Xm-x1
Ym=(y1+y2)/2----> 2*Ym=y1+y2------> y2=2*Ym-y1
let
(x1,y1)-------> (–6, 5).
(Xm,Ym)-----> (-8,1)
find (x2,y2)
x2=2*Xm-x1-----> 2*(-8)-(-6)----> -10
y2=2*Ym-y1----> 2*(1)-5-----> -3
the point l is (-10,-3)
Answer:
D. 68%
Step-by-step explanation:
The following statistics are given;
sample mean = 47%
s = 5% ; the sample standard deviation
n = 625 ; the sample size
The confidence interval for a population mean is given as;
sample mean ± z-score*
Substituting the above values we have;
47 ± z-score*
47 ± z-score*0.2
The confidence interval has been given as;
lower limit = 46.8%
upper limit = 47.2%
We can use any of these two values with the above expression to solve for the z-score. Using the lower limit we have the following equation;
47 - z-score*0.2 = 46.8
-z-score*0.2 = 46.8 - 47
-z-score*0.2 = -0.2
z-score = 1
The area of the standard normal curve between -1 and +1 will be the confidence level for the given confidence interval.
Pr( -1<Z<1 ) = 0.68 = 68%
From the Empirical rule
Answer:
Step-by-step explanation:
1.) mean is 4 1,2,3,5,6,7
2.) Four students won 12, 13, 14, 15, 16, or 17 prizes.
A total of 10 prizes were won by all the students.
3.)don't know number 3