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NNADVOKAT [17]
3 years ago
8

Hey all you math geniuses can you help me with this question that should be easy

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

(B) \frac{-3}{x}

Step-by-step explanation:

A polynomial is the expression which consists of addition, subtraction, multiplication with any variables or constants but the division with a variable is not considered as a polynomial.

Since \frac{-3}{x} consists of division of -3 with a variable, therefore it is not a polynomial, rest all other options are polynomial as they involve addition,multiplication with variables.


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There are n machines in a factory, each of them has defective rate of 0.01. Some maintainers are hired to help machines working.
frosja888 [35]

Answer:

a) 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b) 1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c) ∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

Step-by-step explanation:  

Given that;

if n ⇒ ∞

p ⇒ 0

⇒ np = Constant = λ,  we can apply poisson approximation

⇒ Here 'p' is small ( p=0.01)

⇒ if (n=large) we can approximate it as prior distribution

⇒ let the number of defective items be d

so p(d) = ((e^-λ) × λ) / d!

NOW

a)

Let there be x number of repairs, So they will repair 20x machines on time. So if the number of defective machine is greater than 20x they can not repair it on time.

λ[n0.01]

p[ d > 20x ] = 1 - [ d ≤ 20x ]

= 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b)

Similarly in this case if number of machines d > 80x/3;

Then it can not be repaired in time

p[ d > 80x/3 ]

1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c)

n = 300, lets do it for first case i.e;

p [ d > 20x } ≤ 0.01

1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.01

⇒ ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.99

⇒ ∑²⁰ˣ_k=0 (λ^k)/k! = 0.99e^λ

∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

8 0
2 years ago
3x + (-9x) + 12 + 8
ohaa [14]
(3x−9x)+(12+8)
Answer

−6x+20
8 0
3 years ago
Read 2 more answers
The homecoming committee wants to fly an aerial banner over the football game. The banner is 1,280 inches long and 780 inches ta
lord [1]

Answer: 998400 square inches or 6933 1/3 square feet or

770.37 square yards.

Step-by-step explanation:

Multiply 1280×780 for square inches. Divide that amount by 144 to get square feet. Then divide that by 9 to get square yards.

6 0
3 years ago
Read 2 more answers
The sale price of every item in a store is 85% of its usual price.
Vladimir [108]

Answer

a. The backpack is $4.50

b. The sweatshirt is $2.70

Step-by-step explanation:

a. 30 x 0.15 = 4.50 (The 0.15 is from the price you are actually paying for the item. Because the item is 85% off, you are paying for 15% of the usual price. 15% as a decimal is 0.15 so you multiply that to the original price to find the amount u will pay.)

b. 18 x 0.15 = 2.70  

5 0
3 years ago
Pls help me find the operations of 3a^2+4a^2+7a^2​
Ber [7]

Answer:

14a^2

Step-by-step explanation:

3a^2+4a^2+7a^2

Combine like terms

Factor out a^2

a^2(3+4+7)

a^2(14)

14a^2

7 0
3 years ago
Read 2 more answers
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