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
Diano4ka-milaya [45]
2 years ago
11

Simplify the expression. Write answer using only positive exponents. (1/3a^3)^-4

Mathematics
2 answers:
Fantom [35]2 years ago
8 0

Answer:

81/a^16

Step-by-step explanation:

(1/3a^3)^-4

1/3^-4a^-16

3^4 x 1/a^16

81/a^16

Artemon [7]2 years ago
3 0

Answer:

81/a^12

Step-by-step explanation:

You might be interested in
(1 point) Suppose we want a 95% confidence interval for the average amount spent on books by freshmen in their first year at col
Ne4ueva [31]

Answer:

a) n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40

So the answer for this case would be n=40 rounded up to the nearest integer

b) For this case if we see the formula for the margin of error

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

We can see that the margin of error is inversely proportional to the sample size so if we want a samller margin of error we need a LARGER sample

Answer: LARGER

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean

\sigma=16 represent the population standard deviation

n represent the sample size  

Solution to the problem

Part a

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40

So the answer for this case would be n=40 rounded up to the nearest integer

Part b

For this case if we see the formula for the margin of error

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

We can see that the margin of error is inversely proportional to the sample size so if we want a samller margin of error we need a LARGER sample

Answer: LARGER

5 0
3 years ago
The table below is representing direct<br> variation.
valentina_108 [34]
Where is the table? I can’t help unless I can see the table
7 0
2 years ago
The measures of two angles in a triangle are 32o and 78o. Which of the following equations could be used to find the measure of
Korvikt [17]

Answer:

32+78+x=180

Step-by-step explanation:

All triangle angles add up to 180, so add 78 and 32 then subtract it from 180 to get x, which in another form is 32+78+x=180.

6 0
3 years ago
Read 2 more answers
X 5.2.19
Semmy [17]

Answer:

Step-by-step explanation:

y = ax² + bx + c

Plug the points into the equation to get a system of 3 equations with 3 unknowns a, b, and c.

-27 = 4a - 2b + c

-42 = 9a + 3b + c

-12 = a + b + c

(a,b,c) = (-4,1,-9)

y = -4x² + x - 9

7 0
2 years ago
find a rational number that is between 5.2 and 5.5. Explain why it is rational Find an irrational number between 5.2 and 5.5. Ex
DedPeter [7]

A rational number is 5.3 . It's rational because it can be written as a fraction a/b

- that is 5 3/10 or   53/10.

An irrational number between the 2 values would be √29

Enter this into ur calculator and you'll get an answer like 5.385164807  but this number  carries on beyond bounds and can't be written as a fraction a/b  It is irrational.


6 0
3 years ago
Read 2 more answers
Other questions:
  • Which ratio is smaller 3/5 or 7/10
    5·1 answer
  • Drag the tiles to the correct boxes to complete the pairs.
    9·1 answer
  • 5x^2 + 9x = -4<br><br> What is the “c” value for the following quadratic equation.
    7·1 answer
  • Does anyone know the answer 10*2/3*9 please?
    13·1 answer
  • If the area of the parallelogram is 15 cm 2, what is the area of the green triangle?
    5·2 answers
  • -2x+5 &lt; 3<br>Someone explain it and solve pls​
    13·1 answer
  • What is the distance between -12 and -8
    15·1 answer
  • 24.Julie borrowed $3,500 for 3 years at 7½% simple interest rate.
    6·1 answer
  • If a factory produces 1,672 steering wheels during an 11 hour shift , what is the production rate of steering wheels per hour? [
    11·1 answer
  • Use the following information to find your final course average in grading system 2test grades ( 75, 82, 88, 70)final exam grade
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!