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3 years ago

A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. What is the probability

Mathematics

2 answers:

sergeinik [125]3 years ago

8 0

Answer:To find the total number of outcomes for this event, find the permutation of

⇒ 9 things taken 4 at a time.

The total number of outcomes is

⇒ 3,024.

The total number of favorable outcomes is a permutation of

⇒ 4 things taken 4 at a time.

The probability that the lock code consists of all even digits is

⇒ 24 out of 3,024.

Flura [38]3 years ago

7 0

Answer: 9, 3024, 4, 24

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Jackson used the process of completing the square to solve the equation 2x2−12x=−6.

Nikolay [14]

Answer:

$x=3-\sqrt{6},x=3+\sqrt{6}$

Step-by-step explanation:

we are given equation as

$2x^2-12x=-6$

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

$2(x^2-6x)=-3\times 2$

step-2:

Simplify it

$x^2-6x=-3$

step-3:

Add both sides 3^2

$x^2-6x+3^2=-3+3^2$

now, we can complete square

$(x-3)^2=6$

step-4:

Take sqrt both sides

$(x-3)=-\sqrt{6},(x-3)=\sqrt{6}$

step-5:

Add both sides by 3

we get

$x=3-\sqrt{6},x=3+\sqrt{6}$

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2 years ago

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SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

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2 years ago

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If -7(y-3)= -14. What is the value of x?

pickupchik [31]

Answer:

none

Step-by-step explanation:

no x because (y-3)=14 so the x wouldnt repeat

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2 years ago

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2³+2²+2÷2²+2+1=2 prove that this relation is true for any natural numbers

UkoKoshka [18]

So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

$\frac{x^3+x^2+x}{x^2+x+1}=x$

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that $x^3+x^2+x=x(x^2+x+1)$

If we replace the factored numerator with the original one, we get:

$\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x$

Since we have an equality, this relation is proved.

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2 years ago

The parabola is swached vertically by a factor of 5.

kobusy [5.1K]

Answer:

answer below

Step-by-step explanation:

I think you mean "squashed" or "stretched" vertically by a factor of 5.

f(x) is the original parabola equation

g(x) = 5f(x) is vertically stretched by a factor of 5

(x,y) -> (x , 5y)

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2 years ago