What is the factored form of the following expression?<br> x^2-10xy+21y^2

The equation of a circle is (x – 3)2 +(+8)2 = 36. Relative to the standard equation of a circle (zº+y? = r?), how has

Zolol [24]

Answer:

A. The circle has been shifted 3 units to the right and 8 units down, r=6

Step-by-step explanation:

Recall that the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius.

Given that the equation is $(x-3)^2+(y+8)^2=36$ , this tells us that the center of the circle is at $(h,k)\rightarrow(3,-8)$ and the radius is $r=6$ . Since the value of $h$ represents the amount of horizontal shift from the origin and $k$ represents the amount of vertical shift from the origin, then the circle was shifted 3 units to the right and 8 units down.

7 0

2 years ago

A bottling machine in a chemical plant supposed to fill average of 250 ml of acids and the data is approximately normally distri

jasenka [17]

Answer:

Check the explanation

Step-by-step explanation:

(a) P(Type I error) = P( $H_0$ is rejected |

Here we have : µ = 250 and : µ ≠ 250

Here it is given that if 240 < X < 260 then the machine is considered operating satisfactory i.e. is not rejected.

So rejection region is X <= 240 and X >= 260.

Also we know that X follows N( µ , (400/12) ) as population follows N( µ, 400) ; So ( X - µ) / (20 / (12)1/2) follows std. normal distribution.

So, P( is rejected | is true) = P(X <= 240 | µ = 250) + P(X >= 260 | µ = 250)

= P(( X - µ) / (20 / (12)1/2) <=(240 -250)/ (20 / (12)1/2| µ = 250) +

P(( X - µ) / (20 / (12)1/2) >=(260 -250)/ (20 / (12)1/2| µ = 250)

= P(( X - µ) / (20 / (12)1/2) <= -1.7320508076 | µ = 250) + P(( X - µ) / (20 / (12)1/2) >= 1.7320508076 | µ = 250)

And since ( X - µ) / (20 / (12)1/2) follows std. normal distribution. This can be found from Z-tables.

so, = 0.0416 + 0.0416 = 0.0832

(b) P(Type II error) = P( $H_0$ is not rejected | $H_0$ is false) = P(240 < X < 260 | µ ≠ 250)

We have to calculate probability of type II error specifically at µ = 242 so,

= P(240 < X < 260 | µ =242) = P((240 -242)/ (20 / (12)1/2 <= ( X - µ) / (20 / (12)1/2) <= (260 -242)/ (20 / (12)1/2)| µ = 242)

= P(-0.3464101615 <= ( X - µ) / (20 / (12)1/2) <= 3.1176914535 | µ = 242)

And since ( X - µ) / (20 / (12)1/2) follows std. normal distribution. This can be found from Z-tables.

= 0.6346

3 0

3 years ago

200 customers went to the GasCo store yesterday. If 24 customers bought premium-grade gasoline, what percent of the customers do

Yakvenalex [24]

Answer:

24 represents 12 percent

8 0

3 years ago

Help geometry I need help with this question

alexandr1967 [171]

The following answer to this equation is x=3

5 0

3 years ago

FINDING THE NUMBER OF REAL AND NONREAL SOLUTIONS ( EDGE 2022 )

ankoles [38]

By graphing the function, we can see that we have 3 real solutions and 2 non-real solutions.

<h3>How many real and nonreal solutions does the equation have?</h3>

To check this, we need to graph the equation and see how many times it intersects the x-axis.

Because the degree is 5, we know that there are 5 solutions in total.

Now if we look at the graph, we can see that it intersects the x-axis on 3 points, so there are 3 real solutions. And because there are 5 solutions in total, we conclude that the other 2 solutions are non-real.

So we have 3 real solutions and 2 non-real solutions.

If you want to learn more about polynomials:

brainly.com/question/4142886

#SPJ1

7 0

2 years ago

What is the factored form of the following expression? x^2-10xy+21y^2