hi,
You have to use a formula which is known as of binomial coefficient which is :
k among n is : C ( n /k) = n! / k! ( n-k)!
! = factorial
ex : 5 object among 8 is : C ( 8/5 ) = 8 ! / 5! * ( 8-5) !
As 8! = 8*7*6*5*4*3*2*1 = 40 320
As 5! = 5*4*3*2*1 = 120
as 3 ! = 3*2*1 = 6
then : 40 320 / 120 * 6
40 320 / 720 = 56
Conclusion : there is 56 way to select 5 object among 8 of them.
ps : you can also use Pascal Triangle to do such a thing.
Answer:
Point B is the result of a 90° counterclockwise rotation.
Step-by-step explanation:
The correct match are as follows:
<span>1. Plane.
</span>B) a flat surface that extends infinitely and has no depth; it has length and width
<span>2. Perpendicular Lines.
</span><span>D) two lines that intersect at 90˚ angles.
</span><span>
3. Parallel Lines.
</span><span>A) two lines that lie within the same plane and never intersect.
</span><span>
4. Circle.
</span><span>C) a set of all points in a plane that are a given distance from a point.
</span><span>
5. Angle
</span><span>E) a figure consisting of two rays with a common endpoint.</span>
Answer:
Percentage of students who scored greater than 700 = 97.72%
Step-by-step explanation:
We are given that the College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100.
Let X = percentage of students who scored greater than 700.
Since, X ~ N(
)
The z probability is given by;
Z = 
~ N(0,1) where, 
= 500 and 
= 100
So, P(percentage of students who scored greater than 700) = P(X > 700)
P(X > 700) = P( < 
) = P(Z < 2) = 0.97725 or 97.72% Therefore, percentage of students who scored greater than 700 is 97.72%.
51 blue fish.
If there is 34 to 50 blue to red fish in tank A. Then tank B is 51 to 75. Because 75 is 1.5 times larger than 50 you have to multiply 34 by 1.5 to get 51.
