Answer:
The answer is (x+3)^2+(y-4)^2=1
Step-by-step explanation:
The equation is (x-a)^2+(y-b)^2=r^2
In this equation, a and b are the coordinates of a center, and r is radius
Substituting given values, we obtain our answer.
Answer:
Area of first shape is 288
, area of second shape is 45
, area of third shape is 34
.
Step-by-step explanation:
Area of first shape
A=bh
A=18*16
A=288
Second shape
A=bh
A=9*5
A=45
Third shape
A= 1/2 h(b1+b2)
A=1/24(12+5)
A=1/2*4(12+5)
A=1/2*4(17)
A=1/2*68
A=34
Answer:
57°
Step-by-step explanation:
∠LOM and ∠MON are complementary angles, so they add up to 90.
This means that:
3x-15 + 5x-23 = 90 =>
8x - 38 = 90 =>
x = 128/8 = 16
So m∠MON = 5*16 - 23 = 57°
The area under the graph of the continuous uniform distribution is 1.
a. The probability that the value will be between 5 and 7 is the area between 5 and 7.

b. The probability that the value will be between 2 and 3 is the are between 2 and 3.
c. The mean is given by:

d. The variance is given by:

The standard deviation is: