Solve the system of equations algebraically. Show all of your steps. y=x^2+2x y=3x+20

Mathematics

1 answer:

alexira [117]3 years ago

6 0

Answer:

I'm pretty sure its y = x^2 + 5x + 20

Step-by-step explanation:

This is because i added them (or combined)

Like this

x^2 + 2x

+ 3x + 20

________

x^2 + 5x + 20

Please Correct Me If I Am Wrong Okay love.

Again sorry if i'm wrong.

I'm pretty sure i'm not.

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antiseptic1488 [7]

Do you have the rest of the question?

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2 years ago

The amount of time Ricardo spends brushing his teeth follows a Normal distribution with unknown mean and standard deviation. Ric

Papessa [141]

Let $X$ denote the number of minutes spent brushing his teeth, and let $\mu$ be the mean and $\sigma$ the standard deviation for this distribution.

$\mathbb P(X$

The z-score corresponding to this probability is approximately $z=-0.2533$ , which means

$\dfrac{1-\mu}\sigma=-0.2533\iff\mu-0.2533\sigma=1$

Next, (note the sign change)

$\mathbb P(X>2)=0.02\implies\mathbb P(X\le2)=\mathbb P\left(\dfrac{X-\mu}\sigma\le\dfrac{2-\mu}\sigma\right)=0.98$

The corresponding z-score is approximately $z=2.0538$ , so you have

$\dfrac{2-\mu}\sigma=2.0538\iff\mu+2.0538\sigma=2$

Solving the two equations for $\mu$ and $\sigma$ , you'll find that the mean is approximately $\mu=1.1098$ and the standard deviation is approximately $\sigma=0.4334$ .