7/2X – 19 = -13 + 2xwhat is the solution equation?

1 answer:

7 0

Answer:
x=4

Explanation:
7/2x-19=-13+2x
Add 19 to both sides
7/2x-19+19=-13+2x+19
7/2x=6+2x
Subtract both sides by 2x
7/2x-2x=6+2x-2x
7/2x-2x=6
Change 2x into a fraction
7/2x-4/2x=6
3/2x=6
Divide both sides by 3/2
(3/2x)/(3/2)=6/(3/2)
x=6/(3/2)
Dividing my a fraction is the same as multiplying its reciprocal
x=6*2/3
x=12/3
x=4

I hope this helps!

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A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers li

____ [38]

Answer:

The correct answer: 0.05404

Step-by-step explanation:

Given:

Binomial distribution = x

n = 10

and p = 0.09

solution:

P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10

So the probability is calculated by the Formula:

P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)

putting the given values in the formula

= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))

= 0.0540400

Thus, the correct answer: 0.05404

5 0

3 years ago

What are the solutions of the equation x4 95x2 Ă˘â‚¬"" 500 = 0? Use factoring to solve.

liq [111]

All the values of the x for the given function are $\sqrt{5},-\sqrt{5}, 10i$ and $-10i$ .

Given-

Given function is,

$x^{4}+95x^2-500=0$

Rewrite the equation,

$(x^2)^2+95x^2-500=0$

Let u in place of $x^2$ and rewrite the equation in the form of u,

$u^2+95u-500=0$

Break the 95 in factors and rewrite the equation,

$u^2+100u-5u-500=0$

$u(u+100)-5(u+100)=0$

$(u+100)(u-5)=0$

Replace the value of u with $x^2$ ,

$(x^2+100)(x^2-5)=0$

It is known that If any individual factor on the left side of the equation is equal to zero then the entire expression will be equal to zero. therefore we get,

$x^2-5=0$