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Thepotemich [5.8K]
2 years ago
15

An inspection procedure at a manufacturing plant involves picking three items at random and then accepting the whole lot if AT L

EAST 2 of the three items are in perfect condition. If in reality 84% of the whole lot are perfect, what is the probability that the lot will be accepted?
Mathematics
1 answer:
aivan3 [116]2 years ago
5 0

Answer:

We use the Binomial Distribution   where p =.84 then probability will be 0.931.

Step-by-step explanation:

P(X≥ 2) = P(X=2) + P (X=3)

           = (³₂)(.84)^2(.16) +  (³3)(.84)^3(.16)⁰

           ≅ 0.931

Hence 0.931 is the answer.

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How would I solve the question below? In what order would I solve it?<br> 4 ⋅ 3 + 2 ⋅ 9 − 40
worty [1.4K]

Step-by-step explanation:

You would multiply 4 and 3, and 2 and 9 separately, then add them, then subtract 40. Remember PEMDAS.

(4*3) + (2*9) - 40

12 + 18 - 40

-10

Hope that helps

8 0
2 years ago
Read 2 more answers
Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age
a_sh-v [17]

Answer:

Janine is 28. Ingrid is 30.

Step-by-step explanation:

Let the ages be x and x + 2 for Janine and her sister, respectively.

x/7 + (x + 2)/3 = 14

Multiply both sides by the LCD, 21, to get rid of denominators.

21 * x/7 + 21 * (x + 2)/2 = 21 * 14

3x + 7(x + 2) = 294

3x + 7x + 14 = 294

10x = 280

x = 28

x + 2 = 30

Answer: Janine is 28. Ingrid is 30.

4 0
2 years ago
Read 2 more answers
PLEASE ANSWER! I WILL BRIANLIEST.
Brut [27]
Let x be the required waranty period, then
P(X < x) = P(z < (x - 12)/(8/12)) = 1 - 0.067 = 0.933
P(z < 12(x - 12)/8) = P(z < 1.498)
12(x - 12)/8 = 1.498
x - 12 = 8(1.498) / 12 = 0.9987
x = 12 - 0.9987 = 11

Therefore, they should waranty for 11 years so that no more than 6.7% fail within that time.

cost of production = %13
Let the price be p, then
revenue less price of failed iron = p - 0.067(13) = p - 0.871
Profit = p - 0.871 - 13 = 5
p - 13.871 = 5
p = 5 + 13.871 = 18.871

Therefore, the should charge $18.87 per waffle iron.
5 0
3 years ago
A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/8 cup of brown sugar. (a) How many total cups of ingredien
marin [14]
(a) 1 1/2 cups + 3/4 cup + 1/8 cup = 1 4/8 + 6/8 + 1/8 =  2 3/8 cups
(b) 
3-cup mixing bowl because there is a total of 2 3/8 cups, which is greater than 2 but less than 3.
5 0
3 years ago
What is 2 + 2, times 12, plus 9, divided by 1200, multiplied by 6, minus 12,000,000, divided by 4, plus 26, times 9, times 8, ti
vredina [299]

Answer:

78638.045 I hope this helped



8 0
3 years ago
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