1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olin [163]
3 years ago
15

What are the solutions of 2x^4-5x^3+60x^2+180x-432

Mathematics
1 answer:
swat323 years ago
5 0
The polynomial can't be factored because they are all rational numbers.
You might be interested in
Allen�s hummingbird (Selasphorus sasin ) has been studied by zoologist Bill Alther A small group of 15 Allen� s hummingbirds has
Bogdan [553]

Answer:

1) 80% CI: [3.04; 3.26]gr

d= 0.11

2) n= 28 hummingbirds

Step-by-step explanation:

Hello!

The study variable of this experiment is:

X: the weight of a hummingbird. (gr)

And it has a normal distribution, symbolically: X~N(μ;σ²)

And (I hope I got it correctly) its population standard deviation is σ= 0.33

There was a sample of n= 15 hummingbirds taken, its sample mean X[bar]= 3.15 gr

1) You need to construct an 80% Confidence Interval for the population mean of the hummingbird's weight.

Since the study variable has a normal distribution, you can use either the standard normal distribution or the Student's t distribution. Both are useful to estimate the population mean. Since the population standard variance is known, the best choice is the Standard normal.

Z= <u> X[bar] - μ </u>~ N(0;1)

       σ/√n

The formula for the interval is:

X[bar] ± Z_{1- \alpha /2} * (σ/√n)

Z_{1- \alpha /2}= Z_{0.90} = 1.28

3.15 ± 1.28 * (0.33/√15)

[3.04; 3.26]gr

The margin of error (d) of a confidence interval is hal its amplitude (a)

a= Upper bond - Lower bond

d= (Upper bond - Lower bond)/2

d= \frac{(3.26-3.04)}{2} = 0.11

2) You need to calculate a sample size for a 80% Confidence interval for the average weight of the hummingbirds with a margin of error of d= 0.08

As I said before, the margin of error is half the amplitude of the interval, the formula you use to estimate the population mean has the following structure:

"point estamator" ± "margin of error"

Then the margin of error is:

d= Z_{1- \alpha /2} * (σ/√n)

Now what you have to do is rewrite the formula based on the sample size

d= Z_{1- \alpha /2} * (σ/√n)

\frac{d}{Z_{1- \alpha /2}}= σ/√n

√n * \frac{d}{Z_{1- \alpha /2}}= σ

√n = σ * \frac{Z_1- \alpha /2}{d}

n = (σ * \frac{Z_1- \alpha /2}{d})²

n=  (0.33 * \frac{1.28}{0.08})²

n= 27.8784 ≅ 28 hummingbirds.

I hope it helps!

4 0
3 years ago
I need assistance solving these questions using Cramers' Rule (which I am frankly terrible at) and need these to finish my homew
Scrat [10]

Answer:

What are the questions?

3 0
3 years ago
Read 2 more answers
Expand &amp; simplify:<br> (x - 1 )(x - 1)
andrey2020 [161]

Answer:

x^2 -2x+1

Step-by-step explanation:

(x - 1 )(x - 1)

FOIL

first: x*x = x^2

Outer: -1x

inner: -1x

Last: -1*-1 = 1

Add these together

x^2 -1x-1x+1

x^2 -2x+1

5 0
3 years ago
Read 2 more answers
Which diagram represents a correct construction of equilateral triangle ABC, given side AB?
Tju [1.3M]

Answer:

A

Step-by-step explanation:

It would be A, because EQUAL lateral is all sides are equal

3 0
3 years ago
Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. After adding B2 to both sides of the equation in step 4,
Katena32 [7]
2x^2 + 8x - 12 = 0..divide by 2
x^2 + 4x - 6 = 0
x^2 + 4x = 6...add 4 to both sides of the equation
x^2 + 4x + 4 = 6 + 4
(x + 2)^2 = 10....<== ur constant is 10
x + 2 = (+-)sqrt 10
x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10
x = -2 - sqrt 10

3 0
3 years ago
Read 2 more answers
Other questions:
  • Isaiah takes 25 hours to treat 75 lawn with an organic fertilizer at a housing complex The lawns in the complex are the same siz
    10·1 answer
  • Mr. Jones is putting together bouquets for the annual flower sale. he bought 32 roses, 64 carnations, and 48 peonies, and wants
    9·1 answer
  • I dont understand how to solve a+5 ​
    10·1 answer
  • Which quadrilaterals are classified as types of parallelograms
    8·1 answer
  • 6c*2-5d + 8= <br><br> When c= 5 and d= 4??<br><br> Help I’m in class PLEASE
    13·1 answer
  • Which of the following is not a form of energy? A. muscle. B. electrical. C. theremal. D. sound
    6·1 answer
  • 131.136 divided by 4
    5·2 answers
  • I don't understand this question can someone help me with this please, please explain!! and thank you for the help
    8·1 answer
  • Where did we get one?
    6·1 answer
  • The following set of random numbers represents 20 simulations of three daily
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!