The answer i believe is 31.564
Answer:
-26 < 54
Step-by-step explanation:
Answer:
Option C
Step-by-step explanation:
The standard form of equation of a cirle is:
(x-h)^2+ (y-k)^2=r^2
In the given question as the point is given and the radius of circle is given:
So,
(h,k)=(2,-1)
and
r=3
Here,
h=2
k= -1
Putting the values of h,k and r in standard form
(x-2)^2+ (y-(-1))^2=(3)^2
(x-2)^2+ (y+1)^2=(3)^2
So the equation of circle is:
(x-2)^2+ (y+1)^2=9(3)^2
Option C is the correct answer ..
Answer: the correct option is e
Step-by-step explanation:
Since the The length of time needed to complete a certain test is normally distributed, we would apply the the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = The length of time needed to complete a certain test
u = mean time
s = standard deviation
From the information given,
u = 62 minutes
s = 8 minutes
We want to find the probability the probability that it will take less than 74 minutes to complete the test. It is expressed as
P(x lesser than or equal to 74)
For x = 74,
z = (74 - 62)/8 = 1.5
Looking at the normal distribution table, the corresponding value for the z score is 0.9332
P(x lesser than or equal to 74) = 0.9332
Answer:
x = -1 and y = -3
Step-by-step explanation:
The given equations are :
2x+3y= -11 ...(1)
8x -2y= -2 ...(2)
We need to solve the equations.
Multiply equation (1) by 4.
8x+12y= -44 ...(3)
Subtract equation (2) from (3).
8x+12y-(8x -2y) = -44-(-2)
8x+12y-8x +2y = -42
14y = -42
y = -3
Put the value of y in equation (2).
8x -2(-3)= -2
8x+6 = -2
8x = -8
x = -1
So, the values of x and y are -1 and -3 respectively.