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Makovka662 [10]
3 years ago
7

A rectangle has an area of 3/2 square yards. If the width of the rectangle is 1/2 yard, which statement is true?

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0
The answer is in your heart
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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
Find the length of side a.<br> 15<br> 9<br> O A. 6<br> B. V 306<br> C. 12<br> D. 144
Leni [432]

Answer:

12

Step-by-step explanation:

A² + B² = C²

9² + B² = 15²

81 + B² = 225

B² = 144

B = 12

8 0
2 years ago
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Which table has a constant of proportionality between yyy and xxx of 101010?
Gnesinka [82]

Answer:

Only table C shows proportional relationship

Step by Step Explanation:

Given

Tables A, B an C

Required

Which table shows proportional relationship?

In table A .

x = 2 and y = 20

k = 20/2

k = 10

Also, x = 12, y = 132

k =. 132/12.

k = 11

Both values of k are not equal.

Hence, the table is not proportional

In table B

x = 5 and y = 20

k = 20/5

k = 4

Also, x = 7, y = 30

k =. 30/7

k = 4.29

Both values of k are not equal.

Hence, the table is not proportional

In table C

x = 9 and y = 90

k = 90/9

k = 10

Also, x = 14, y = 140

k =. 140/14

k = 10

Also, x = 24, y = 240

k =. 240/24

k = 10

All values of k are equal.

Hence, the table is proportional

5 0
2 years ago
GIVING AWAY FREE ROBL0X ACCOUNT WITH R0BUX
aniked [119]

Answer:

Imagine playing R0bl0x

Step-by-step explanation:

( dont take it srsly lol im jk)

3 0
3 years ago
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Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?
ss7ja [257]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
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