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Ksivusya [100]
3 years ago
9

Write equivalent expressions in factored form

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0
a(x-r1)(x-r2)
r meaning root or x intercept
example:
-2(x-2)(x+0.05)

Hope this helped(;
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A table and 8 chairs weigh 235.68 lb together. If the table weighs 157.84 lb, what is the weight of one chair in pounds?
Alona [7]

Answer: 9.73 lb each chair

Step-by-step explanation:

You substract the weight of the table alone from the full weight:

235.68 - 157.84=77.84

Then you divide 77.84 by 8 chairs and you obtain the weight of each individual chair

77.84/8= 9.73 the weight of each individual chair

7 0
3 years ago
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Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a
just olya [345]

Answer:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and X \sim Bin(n=600, p =0.4)

And we want this probability:

P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10

n(1-p)=600*(1-0.4)=360 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=600*0.4=240

\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12

And then X \sim N (\mu = 240, \sigma= 12)

And we are interested on the following probability:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

6 0
3 years ago
2 PUNTS
xz_007 [3.2K]

Answer:

x^2  +  y^2  = 4

Step-by-step explanation:

The center-radius form (formally called the standard form) of a circle is

(x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius.

So if we replace (h,k) with (0,0) since the center is the origin and r with 2 since the radius is 2 we get:

(x-0)^2+(y-0)^2=2^2

Let's simplify:

x^2  +  y^2   = 4

8 0
3 years ago
Solve for w 8/5w =40 whats the answer , whats w its in a fraction w is by the fraction
densk [106]

Answer:

So first, you have to isolate w. You can do this by getting rid of the 8/5.

This will get you to: w = 25

7 0
4 years ago
The area of ABC is 72 square centimeters. find area of DEF
Sliva [168]
20. because 100/5=20cm2
8 0
3 years ago
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