A manufacturer of matches randomly and independently puts 23 matches in each box of matches produced. The company knows that one-tenth of 8 percent of the matches are flawed. What is the probability that a matchbox will have one or fewer matches with a flaw?

Answers

Answer 1

Answer:

Answer:

0.9855 or 98.55%.

Step-by-step explanation:

The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:

$P(X\leq 1)=P(X=0)+P(X=1)\nP(X\leq 1)=(1-p)^(23)+23*(1-p)^(23-1)*p\nP(X\leq 1)=(1-0.008)^(23)+23*(1-0.008)^(23-1)*0.008\nP(X\leq 1)=0.8313+0.1542\nP(X\leq 1)=0.9855$

The probability that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.

hypotenuse = 39m

Step-by-step explanation:

Area of a triangle= 1/2 * base * height

where base = ?

height = 15

Plugin values into the formula:

270 = 1/2 base (15)

base = 270 (2)

base = 36

hypotenuse = √(base² + height²)

= √( 36² + 15² )

= 39

What is the y-intercept of the function f(x) = -2/9x + 1/3

Answers

Answer:

y-intercept = 1/3

Step-by-step explanation:

$f(x) = mx + c$

$f(x) = - (2)/(9) x + (1)/(3)$

c = y-intercept

y-intercept= 1/3

Hello! :)

To find the y-intercept, substitute 0 for x-intercept then you will get the y-intercept.

(0,1/3) y-intercept

Hope this helped you!

THEDIPER

What is 10 more than 56

Answers

66 is the answer (56+10)

10 more than 56 means 10+56
which equals 66

A kids’ movie ticket costs $5.25.Type your answers in the boxes below.

a. One day, 200 kids’ tickets were purchased. What was the total cost of those tickets?

----------------- answer