Step-by-step explanation:
p = 0.1, q = 0.9, n = 7
a) Use complementary probability.
P(at least 1) = 1 − P(0)
P(at least 1) = 1 − (0.9)⁷
P(at least 1) = 0.522
b) Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
P(3) = ₇C₃ (0.1)³ (0.9)⁴
P(3) = 0.023
 
        
             
        
        
        
A tangent is a line that touches a circle only at one point
 
        
        
        
Answer:
Perimeter = 70ft
Step-by-step explanation:
Area of a rectangle is:
area = (length * width)
150 = a * b
a = 6b
a = length
b = width
then:
150 = 6b*b
150 = 6b²
b² = 150/6
b² = 25
√b² = √25
b = 5ft
a = 6b
a = 6*5
a = 30ft
then:
perimeter of a rectangle is:
p = 2(a+b)
p = 2(30 + 5)
p = 2*35
p = 70ft
 
        
             
        
        
        
Hi,
Following the rules of PEMDAS you first subtract in the parentheses. 
(5-2)=3
Then multiply the parentheses.
(3)(-6)=-18
Solve the exponent.
-4^2=16
Then you add -18 and 16 to get -2. 
So the answer is B.-2.
I hope this helps.
        
             
        
        
        
Answer: g = 10 
Step-by-step explanation: 8g + 3 = –6g + 13g + 13
                                              8g + 3 = (–6g + 13g) + (13)
                                              8g + 3 = 7g + 13
                                              8g + 3 - 7g = 7g + 13 - 7g
                                              g + 3 = 13
                                              g + 3 - 3 = 13 - 3
                                              g = 10