Write each of the following in completely factored form. These will involve slightly more difficult final trinomial expressions 15x^2-110x+120

9514 1404 393

Answer:

  {-1, 2, 3}

Step-by-step explanation:

We need to find the values of x that correspond to these y-values.

  {-4, -2, 4} = -2(x +1) +4 . . . substitute the range values for y

  {2, 1, -2} = x +1 -2 . . . . . . .divide by -2

  {2, 1, -2} = x -1 . . . . . . . . . simplify

  {3, 2, -1} = x . . . . . . . . . . . add 1

The domain of the function is {-1, 2, 3}.

Answer:

a) 0.073044

b) 0.75033

c) The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 .

a. Find the probability that an individual distance is greater than 218.00 cm.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 218

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

For x > 218

z = 218 - 205.5/8.6

z = 1.45349

Probability value from Z-Table:

P(x<218) = 0.92696

P(x>218) = 1 - P(x<218) = 0.073044

b. Find the probability that the mean for 15 randomly selected distances is greater than 204.00

When = random number of samples is given, we solve using this z score formula

z = (x-μ)/σ/√n

where

x is the raw score = 204

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

n = 15

For x > 204

Hence

z = 204 - 205.5/8.6/√15

z = -0.67552

Probability value from Z-Table:

P(x<204) = 0.24967

P(x>204) = 1 - P(x<204) = 0.75033

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

the person above me is right, it is a! good luck on your test <3

Answer:

14t-3t=22

Answer:

The opposite sides of the rectangle are parallel.

Step-by-step explanation:

If that is true for all parallelograms and a rectangle is a parallelogram, then it should be true for a rectangle too, I think.

Answer:

The opposite sides of the rectangle are parallel. (for both questions)

Step-by-step explanation:

Got it right on edg

Answer:

[tex]6y^3z(8x^4yz^3-3)[/tex]

Step-by-step explanation:

Factor-[tex](-18y^3)(z)+48x^4y^4z^448x^4y^4z^4-18y^3z=6y^3z(8x^4yz^3-3)[/tex]

Answer:

One of the most basic concepts in statistics is hypothesis testing. Not just in Data Science, Hypothesis testing is important in every field. Want to know how??? Let us take an example. You must have heard about lifebuoy?? Suppose

lifebuoy claims that, it kills 99.9% of germs. So how can they say so? There has to be a testing technique to prove this claim right?? So hypothesis testing uses to prove a claim or any assumptions.

Hopefully, this helps! :D

Answer:

I think AB would be 67

BC would be 20 because its the whole line s 10+10 is 20

I am really sorry I don't know 1 and 4 I hope this helps tho

Also you dont have to give me brainliest

Step-by-step explanation:

Answer:

6A+2C=60

Step-by-step explanation:

It mean 6 of A added to 2 of C is equivalent to a total of 60

Answer:

y = 1/3x + 5

Step-by-step explanation:

Slope intercept form is y = mx + b

m is the slope

b is the y intercept

plug your number in

y = 1/3x + 5

Answer:

En total, se invirtieron $960,000 por parte de las tres empresas.

Step-by-step explanation:

Para resolver cuánto dinero aportaron en total las tres empresas, es necesario determinar la cantidad de dinero que cada una de ellas aportó en forma particular. Así:

La Estrella: 509,000

Flechabus: (509,000 / 2) + 23,184

                   254,500 + 23,184

                   277,684

La Terminal: ((509,000 / 2) + 23,184) - 104,208

                     277,684 - 104,208

                     173,476

Ahora bien, para determinar el total invertido se requiere sumar dichos montos: 509,000 + 277,684 + 173,476 = 960,160

Así, en total, se invirtieron $960,000 por parte de las tres empresas.

Answer:

11 is one of the factors! The orange divisor(s) above are the prime factors of the number 990. If we put all of it together we have the factors 2 x 3 x 3 x 5 x 11 = 990.

Step-by-step explanation:

Answer:

2x2x3x5=11

Step-by-step explanation:

Answer:

d:15

Step-by-step explanation:

since the angles are equal to each other, then the sides must be equal to each other too

so...

3x+5=4X-10

15=x

Answer:

Slope= 4

Step-by-step explanation:

When you start at (0, 0) and then go to (1, 4), then you have to use the slope.

So, to figure out the slope, you have to do rise over run, rise/run.

So, as shown in the graph, the rise is 4 because the rise is the y so to get from 0 to 4, you have to add 4.

And the run, which would be the x side is 1 because to get from 0 to 1. You add 1.

This shows us that the slope is 4/1 which could be simplified to just 4.

Answer:

You would have to multiple everything inside of the parenthesis by the number that's outside in this case it would be 2 ×7 and 2 × -9

Answer: 14n ,-18

Answer:

Step-by-step explanation:

x = what?

Answer: 19 ≥ 3z + 1 ≥ - 5

Answer:

Step-by-step explanation:

use the distributive propriety to get 4c -12 = 8

divide both sides by 4 to get c-3 =2

Answer:

I don't know how to answer question 1, but the answer from question 2 is x=5

Step-by-step explanation:

The triangle shown is an isosceles triangle because it has two congruent sides. The base angles of isosceles triangles are congruent so ∠y=∠x. since the ∠x is 52 the ∠y is also 52. We subtract the measure of angles x and y in order to find the measure of the third angle. 180-(52+52) or 180-104 is 76. this means that 14x=6=76. All we have to do to get the answer now is solve. 76-6 is 70 and 70 divided by 14 is 5. x=5.

Answer:

5x/7 - 3/7

Step-by-step explanation:

Answer:

Try picking a number from y ans x axis them u divide or multiply them to find the number when u do multip that number by the above numbers.

Step-by-step explanation:

Answer:

15 years

Step-by-step explanation:

$40 x 15 (years) = 600

600 - 600 = 0

Answer:

13 BY 10

Step-by-step explanation:

let width be z

length be z+3

perimeter=46

2(l+b)=46

z+z+3=23

2z=20

z=10

z+3=l=13

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

(G o o g l e)

Step-by-step explanation:

I hope this helps!

Answer: Joey is faster

Step-by-step explanation: Because in 1 hour Joey is run 4 mile but in 1 hour Chandler is run 2 mile

Answer: Joey is faster

Step-by-step explanation: Because in 1 hour Joey is run 4 mile but in 1 hour Chandler is run 2 mile

Answer:

-4-5-6-7-8

Step-by-step explanation:

Answer:

The answer is -26