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Mama L [17]
3 years ago
14

In dividing an irregular shape into polygons it is permissible for the polygons to overlap

Mathematics
1 answer:
masya89 [10]3 years ago
6 0
NO it is not possible when dividing an irregular shape to polygons to overlap. Every polygon would be broken up in piece.
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What is the square root of 49z^2
ahrayia [7]
√49z²
= √(7z)². [ here, Square cancles sq. root]
= 7z

May be Helpful.
Thank you!
7 0
2 years ago
Fastest answer will be declared the brainliest
Hatshy [7]

Answer:

All whole numbers are rational numbers.

<u>False</u>

All integers are whole numbers.

<u>True</u>

<u />

There are integers that are not rational numbers.

<u>True</u>

There are whole numbers that are not integers.

<u>True.</u>

7 0
2 years ago
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
Explain why the "+ C" is not needed in the antiderivative when evaluating a definite integral.
Aliun [14]

The reason the "+ C" is not needed in the antiderivative when evaluating a definite integral is; The C's cancel each other out as desired.

<h3>How to represent Integrals?</h3>

Let us say we want to estimate the definite integral;

I = \int\limits^a_b {f'(x)} \, dx

Now, for any C, f(x) + C is an antiderivative of f′(x).

From fundamental theorem of Calculus, we can say that;

I = \int\limits^a_b {f'(x)} \, dx  = \phi(a) - \phi(b)

where Ф(x) is any antiderivative of f'(x). Thus, Ф(x) = f(x) + C would not work because the C's will cancel each other.

Read more about Integrals at; brainly.com/question/22008756

#SPJ1

8 0
1 year ago
50 POINTS SHOW YOUR WORK
aliya0001 [1]

Answer:

The % growth rate is 15.8%.

Step-by-step explanation:

Let the function is given by f(w) = a(b)^{w}, where f(w) is the number of a specific product produced after w weeks.

Now, given for w = 0, f(0) = 190 = a

So, the function becomes f(w) = 190(b)^{w} ............. (1)

Now, it is also give that at w = 1, f(1) = 220.

So, from equation (1) we get,

220 = 190 (b)^{1} = 190b

⇒ b = 1.15789.

Now, b = 1 + r

⇒ 1.15789 = 1 + r

⇒ r = 0.15789

Therefore, the % growth rate is 0.15789 × 100% = 15.8% (Approx.)

8 0
3 years ago
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