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3 years ago

5

Between which two rational numbers is squar root of 3 located

1 answer:

inessss [21]3 years ago

3 0

We know that;

$1 ^{2} = 1 \\ 2^{2} = 4 \\ 

And 3 is between 1 and 4, therefore;\\ \boxed{1 \leq \sqrt{3} \leq 2 }

$

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Select the assumption necessary to start an indirect proof of the statement. If 3a+7 < 28, then a<7.

pashok25 [27]

When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.

In our case we assume a is not smaller than 7, that is we assume a≥7.

a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:

3a+7≥28,

which is a contradiction because 3a+7 is smaller than 28.

So our assumption is wrong, which means the opposite of it is correct.

Answer: assume a≥7

7 0

3 years ago

solo el 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal. Si

prisoha [69]

Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

<h3>¿Qué es la distribución binomial?</h3>

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Los parámetros son:

n es el número de ensayos.

p es la probabilidad de éxito en un ensayo

x es el número de éxitos

En este problema, hay que:

20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.

Llegan 10 empleados, o sea, n = 10.

La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:

$P(X \geq 1) = 1 - P(X = 0)$

En que:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

Por eso:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926$

Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

Puede-se aprender más a cerca de la distribución binomial en brainly.com/question/25132113

3 0

2 years ago

What is the product of -6x3y5 and -4y2? A. -24x3y7 B. -24x3y10 C. 24x3y7 D. 24x3y10

Leto [7]

Answer:

C

Step-by-step explanation:

So we have the product of:

$(-6x^3y^5)\cdot(-4y^2)$

Multiply. Combine like terms:

$=(-6\cdot -4)(x^3)(y^5\cdot y^2)$

The first term is 24.

The second term stays as it is.

The third term will equate to y^7. Recall how to multiply exponents. The base stays constant and you add the exponents. Thus:

$=24x^3y^7$

Our answer is C.

And we're done!

5 0

3 years ago

Caroline is considering two video game rental plans. Plan A can be modeled with the equation C = 2n, and Plan B can be modeled w

meriva

Options

A. Caroline rents exactly 7 games each month.

B. Caroline rents exactly 6 games each month.

C. Caroline rents 6 or more games each month.

D. Caroline rents from 1 to 5 games each month.

Answer:

D. Caroline rents from 1 to 5 games each month.

Step-by-step explanation:

Given

Plan A:

$C = 2n$

Plan B:

$C = n + 6$

Required

Which options justifies A over B

The solution to this question is option (d).

In option d, n = 1,2,3,4,5

When any of the values of n is substituted in plan A and B, respectively; the cost of plan A is cheaper than plan B.

This is not so, for other options (A - C)

To show:

Substitute 1 for n in A and B

Plan A:

$C = 2n$ $= 2 * 1 = 2$

Plan B:

$C = n + 6$ $= 1 + 6 = 7$

Substitute 5 for n in A and B

Plan A:

$C = 2n$ $= 2 * 5 = 10$

Plan B:

$C = n + 6$ $= 5 + 6 = 11$

<em>See that A < B</em>

8 0

3 years ago

How do you simplify 3x,x=5

aleksandrvk [35]

X = 5

So 3x = 3(5) = 15

3x = 15

3 0

3 years ago