Answer:
33 1/3 percent smaller
Step-by-step explanation:
The number a exceeds the number b by 50 percent.
a = b + b*.5
a = b(1.5)
Divide by 1.5
a/1.5 = b
2/3a =b
We want to find (a-b)/a to find the percent decrease
(a-2/3a)/a *100percent
(1/3a)/a* 100 percent
1/3 * 100 percent
33 1/3 percent smaller
Answer:
B) 5, 20, 80, 320
Step-by-step explanation:
Complete question
Given the recursive formula shown, what are the first 4 terms of the sequence?
f(1) = 5 if n=1
f(n) = 4f(n-1) if n> 1
A) 5. 25, 100, 400
B) 5, 20, 80, 320
C) 5, 25, 125, 625
D) 5. 14, 60, 236
Get f(2)
f(2) = 4f(2-1)
f(2) = 4f(1)
f(2) = 4(5)
f(2) = 20
Get f(3)
f(3) = 4f(3-1)
f(3) = 4f(2)
f(3) = 4(20)
f(3) = 80
Get f(4)
f(4) = 4f(4-1)
f(4) = 4f(3)
f(4) = 4(80)
f(4) = 320
Hence the first 4 terms of the sequence are 5, 20, 80 and 320
Answer:
The probability that R2 is bigger than R1 is P=0.9633.
Step-by-step explanation:
We need to compute the probability that R2 is bigger than R1:
To do this, we define a new variable Das the difference between the two resistances:
Then,
As R1 and R2 are normal random variables, the properties of D are:
Then, we can calculate the z-value for D=0
Answer:
(x-8)^2+(y-16)^2 = 4
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2+(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-8)^2+(y-16)^2 = 2^2
(x-8)^2+(y-16)^2 = 4
We know that soda + hot dog =201
soda is 2x
hot dog is x
2x+x=201
3x=201
divide each side by 3
x=67
2x=134
They sold 134 sodas and 67 hotdogs
