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
SSSSS [86.1K]
3 years ago
15

What is the following product?

Mathematics
1 answer:
devlian [24]3 years ago
6 0

Answer: Last Option

4x^5\sqrt[3]{3x}

Step-by-step explanation:

To make the product of these expressions you must use the property of multiplication of roots:

\sqrt[n]{x^m}*\sqrt[n]{x^b} = \sqrt[n]{x^{m+b}}

we also know that:

\sqrt[3]{x^3} = x

So

\sqrt[3]{16x^7}*\sqrt[3]{12x^9}\\\\\sqrt[3]{16x^3x^3x}*\sqrt[3]{12(x^3)^3}\\\\x^2\sqrt[3]{16x}*x^3\sqrt[3]{12}\\\\x^5\sqrt[3]{16x*12}\\\\x^5\sqrt[3]{2^4x*2^2*3}\\\\x^5\sqrt[3]{2^6x*3}\\\\4x^5\sqrt[3]{3x}

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
Plzz help me with my summer school work
shutvik [7]
I have summer school work too omg!!! it’s annoying
6 0
2 years ago
Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2?
Sindrei [870]

Answer:

(0, -2), (1, -1), (2,0)

Step-by-step explanation:

 should be along those lines

8 0
3 years ago
Finding angle measure using triangles ​
Rainbow [258]

x = 58°

<u>Explanation:</u>

According to the diagram, lines HI and JK are parallel to each other.

∠AHI = 60°

∠JKI = 62°

∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.

So,

∠JKI = ∠HIA = 62°

In ΔHIA,

∠AHI + ∠HIA + ∠IAH = 180°

60° + 62°+ x = 180°

122° + x = 180°

x = 180° - 122°

x = 58°

3 0
3 years ago
What is the expanded form of 603478
WINSTONCH [101]

600000+3000+400+70+4

4 0
3 years ago
Read 2 more answers
Other questions:
  • Is this right? for solving for y?
    9·2 answers
  • Complete the recursive formula of the arithmetic sequence -15, -11, -7...
    11·2 answers
  • drew's weekly allowance is $8.00.His friend Jann' s weekly allowance is $10 Drew spends $3 a week and Jan spends $4 a week. Writ
    12·1 answer
  • Evaluate: log1255<br>a.1/3<br>b.1/2<br>c. 2/3​
    13·2 answers
  • Solve this plss I need help :c<br>2/3(3х + 9) = - 2(2x + 6)<br>​
    13·2 answers
  • What inequality expression is this
    12·1 answer
  • Write your answer in scientific notation. <br>Look at the picture!
    10·1 answer
  • HELP PLEASE I WILL DO ANYTHING
    15·2 answers
  • You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year? For weekly gross i
    10·1 answer
  • Which statements are true about the graph of –6. 5 &lt; x? Check all that apply. There is an open circle on –6. 5. There is an o
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!