Answer:
a)P=0.42
b) 
Step-by-step explanation:
We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

a) we have k=2, n=10 and p=0.01:

b) We have,
, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

Answer:
x-intercept: 4
y-intercept: 2
Step-by-step explanation:
finding the x-intercept:
first, substitute y = 0.
2x + 4 x 0 = 8
then, remove the 0.
2x + 0 = 8
then, divide both sides. 2x = 8
so, x = 4.
finding the y-intercept:
first, substitute x = 0.
then, solve.
2 x 0 + 4y = 8
so, y = 2.
Answer:
a ) 7a + 12
b) b - 15
Step-by-step explanation:
a)2a+5a +8+8
= 7a + 12
b) b - 7 - 8
= b-15
Answer:
x = 12
Step-by-step explanation:
IMPORTANT: Both answers should add up to 180 if they dont you did it wrong!
(10x - 20) + (6x + 8 ) = 180 plug in 12 for both of them
(10 * 12 - 20) + 6 * 12 + 8) = 120
(120 - 20) + (72+ 8 ) = 180
(100) + (80) = 180
so x = 12
hope this helps please make brainliest