Answer:
a. 0.6588
b. 0.3978
c. 0. 279
Step-by-step explanation:
In the given question the success and failure are given the number of outcomes is fixed so binomial distribution can be applied.
Here success= p = 12 % or 12/100 = 0.12
failure = q= 1-p = 1-0.12 = 0.88
n= 10
Using binomial probability distribution
a. Probability that the number of selected adults saying they were too young is 0 or 1 is calculated as:
P (x=0,1) = 0.12 ⁰(0.88)¹⁰10 C0 + 0.12 (0.88)⁹ 10 C1= 1* 0.279 * 1 + 0.12 ( 0.3165) 10 = 0. 279 + 0.3978= 0.6588
b. Probability that exactly one of the selected adults says that he or she was too young to get tattoos is calculated as
P (x=1) = 0.12 (0.88)⁹ 10 C1= 0.12 ( 0.3165) 10 = 0.3978
c. Probability that none of the selected adults say that they were too young to get tattoos is
P (x=0) = 0.12 ⁰(0.88)¹⁰10 C0 = 1* 0.279 * 1 = 0. 279
The answer is unlikely, there is a 2 out of 30 percent chance.
Answer:
12.566
Step-by-step explanation:
A = ∫1/2(r)^2dtheta from a - b = 0 to 2π
∫1/2(sin^2theta-4sintheta+4)dtheta
[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…
when you solve this you get 14.137 without taking out the cos(2theta+3)
Answer:
C
Step-by-step explanation:
In order to prove congruency using SSS, we need to prove that all three pairs of sides are congruent.
We are already given that EF ≅ HI and that FG ≅ IJ.
Therefore, the last bit of information we need to prove congruency using SSS is that EG ≅ HJ.
Hence, our answer is C.
Answer: (f•g)(x)=2x²+12x
Step-by-step explanation:
(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.
(f•g)(x)=2x(x+6) [distribute by FOIL]
(f•g)(x)=2x²+12x
Now, we know that (f•g)(x)=2x²+12x.
