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3 years ago

Pleas answer it in two minutes

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

Answer:

b=69 degrees

Step-by-step explanation

Use the remote interior angle theorem which states that the sum of the two remote interior angles is equal to the exterior angle. Basically, b=(b-36)+(b-33). That will give you b=2b-69. Then b=69. There's ur answer.

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Please calculate this limit please help me

Tasya [4]

Answer:

We want to find:

$\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n}$

Here we can use Stirling's approximation, which says that for large values of n, we get:

$n! = \sqrt{2*\pi*n} *(\frac{n}{e} )^n$

Because here we are taking the limit when n tends to infinity, we can use this approximation.

Then we get.

$\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n} = \lim_{n \to \infty} \frac{\sqrt[n]{\sqrt{2*\pi*n} *(\frac{n}{e} )^n} }{n} = \lim_{n \to \infty} \frac{n}{e*n} *\sqrt[2*n]{2*\pi*n}$

Now we can just simplify this, so we get:

$\lim_{n \to \infty} \frac{1}{e} *\sqrt[2*n]{2*\pi*n} \\$

And we can rewrite it as:

$\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n}$

The important part here is the exponent, as n tends to infinite, the exponent tends to zero.

Thus:

$\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n} = \frac{1}{e}*1 = \frac{1}{e}$

7 0

2 years ago

Can three line segments with the given lengths form a right triangle?

musickatia [10]

Answer:

Yes

12, 35, 37

16, 30, 34

20, 21, 29

18, 24, 42

Step-by-step explanation:

Required

Determine which length form a right triangle

To do this, we make use of Pythagoras theorem where the square of the largest length = the sum of the squares of the other lengths

So:

(1) 12, 35, 37 --- Yes

$37^2 = 35^2 + 12^2$

$1369 = 1225 + 144$

$1369 = 1369$

(2) 16, 30, 34 --- Yes

$34^2 = 16^2 + 30^2$

$1156 = 256 + 900$

$1156 = 1156$

(3) 18, 24, 42 --- No

$42^2 =18^2 + 24^2$

$1764 =324 + 576$

$1764 =900$

$1764 \ne 900$

(4) 20, 21, 29 -- Yes

$29^2 = 20^2 + 21^2$

$841= 400 + 441$

$841= 841$

3 0

2 years ago

Answer for all please

malfutka [58]

Answer:

a) 'X' be the random variable in discrete distribution

b) The value of y = 0.2

c) The mean value or Expectation value

E (X) = 1.25

d)

The variance σ² of the discrete distribution function is

Variance ( V(x)= 1.2875

Step-by-step explanation:

Step(i):-

Given data

x : 0 1 2 3 4

P(x) : 0.30 0.35 y 0.10 0.05

Let 'X' be the random variable in discrete distribution

Given data is discrete distribution

i) If the numbers $p(x_{i} )\geq 0$ for all values of 'i'

ii) ∑P(x) = 1

Given data $p(x_{i} )\geq 0$ for all values of 'i'

∑P(x) = 1

0.30+0.35+y+0.10+0.05 =1

y + 0.8 = 1

y = 1 -0.8 = 0.2

b) The value of y = 0.2

Step(ii):-

Expectation:

Given data

x : 0 1 2 3 4

P(x) : 0.30 0.35 0.2 0.10 0.05

The mean value or Expectation value

E (x) = ∑ x p ( X = x)

= 0 × 0.30 + 1 × 0.35 + 2 × 0.2 + 3 × 0.10 + 4 × 0.05

= 0 + 0.35 + 0.4 + 0.30 + 0.2

= 1.25

Variance of X

The variance σ² of the discrete distribution function is defined by

σ² = ∑ x² p(x=x) - μ²

= 0× 0.30 + 1² × 0.35 + 2²× 0.2 +3²× 0.10 + 4²× 0.05 - (1.25)²

= 0 + 0.35 + 0.8 + 0.9 + 0.8 - 1.5625

= 1.2875

conclusion:-

The mean value or Expectation value = 1.25

The variance σ² of the discrete distribution function

V(X) = 1.2875

3 0

3 years ago

What is the degree of the polynomial? t-4tsquared+2t^3

faust18 [17]

It’s a cubic polynomial since highest power is three.

3 0

3 years ago

Write 2 out of 10 as a percentage

DENIUS [597]

Well since we know 2 out of 10 as a fraction is 2/10, we must convert it into a percentage. Here's how. You can first reduce this fraction:2/10 reduced =1/5= =1÷5= 0.2 Converting our number to a percentage:=0.2×100=20%

The anwer is 2/10 = 20%. Hope this helps! :)

5 0

3 years ago