An equation of the form y = mx + b represents a linear function where m is the slope and b is the y-intercept. For example, y = 3x + 4 represents the linear function whose slope is 3 and whose y-intercept is 4.

Hope this helps!!! The reason why I asked which unit & lesson it is from, is because Idk if you go to k12 or not, by the pic, it looks like you do go to k12... IF you go to K12, I could tell you the answers, that's if I took that lesson... And that's if you'd tell me... Hope I make since.... Ok bye!!! :)

3 0

3 years ago

1. A certain manufacturing process to build phone batteries results in the production of defective batteries at a rate of 5% (0.

lesya [120]

Answer:

0.5 ; 0.475 ; 0.689 ; 0.4013

Step-by-step explanation:

Given that:

Rate of production of defective batteries p = 0.05

Number of batteries produced (n) = 10

The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries

Variance of defective batteries :

Var(X) = n * p * q ; q = 1 - p

Hence,

Var(X) = 10 * 0.05 * 0.95 = 0.475

Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689

Probability that atleast 1 battery is defective :

Using the binomial probability function

P(x ≥ 1) = 1 - p(x = 0)

= 1 - q^n

= 1 - 0.95^10

= 1 - 0.59873693923837890625

= 0.40126306076162109375

= 0.4013

7 0

3 years ago