We are looking to find P(X>60 students)
X is normally distributed with mean 50 and standard deviation 5
We need to find the z-score of 60 students
To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228
The number of students that has score more than 60 is 0.0228 x 1000 = 228 students
If the endpoints of a diameter are (6,3) and (2,1) the midpoint is the center of the circle so:
(x,y)=((6+2)/2, (3+1)/2)=(4,2)
Now we need to find the radius....the diameter is:
d^2=(6-2)^2+(3-1)^2
d^2=16+4
d^2=20 since d=2r, r=d/2, and r^2=d^2/4 so
r^2=5
The standard form of the circle is (x-h)^2+(y-k)^2=r^2 and we know:
(h,k)=(4,2) from earlier so:
(x-4)^2+(y-2)^2=5
The square of a binomial expands as follows:
Expanding all the binomials, we have
Sum like terms:
Simplify terms appearing on both sides:
Move all terms involving k to the left and all numbers to the right:
Divide both sides by -20:
Answer:
lesser x is 1
greater x is 3
Step-by-step explanation:
Here, we want to solve the equation so as to get the bigger and the lesser x values
We proceed as follows;
x^2 -4x + 3 = 0
x^2 - x-3x + 3 = 0
x(x-1) -3(x-1) = 0
(x-3)(x-1) = 0
x = 3
or x = 1
Greater x is 3
lesser x is 1
Answer:
$51.75
Step-by-step explanation:
Multiply 45.00 by 0.15 and you get 6.75
Once you get that add the 45.00 and the 6.75 to get 51.75 hope this helps