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
Andrews [41]
3 years ago
5

The area of a square is 729 square feet.What is the length of the side?

Mathematics
1 answer:
Art [367]3 years ago
7 0

To find the length of the side of a square when the area is known, find the square root of the area:


Side length = √729

Side Length = 27 feet.

You might be interested in
Suppose that 500 parts are tested in manufacturing and 10 are rejected.
alexdok [17]

Answer:

a) z=\frac{0.02 -0.03}{\sqrt{\frac{0.03(1-0.03)}{500}}}=-1.31  

p_v =P(Z  

If we compare the p value obtained and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of rejected items is less than 0.03.  

b) We can use a 95 percent upper confidence interval.

On this case we want a interval on this form : (-\infty,\hat p +z_{\alpha}\sqrt{\frac{\hat p (1-\hat p)}{n}})

So the critical value would be on this case Z_{\alpha}=1.64 and we can use the following excel code to find it: "=NORM.INV(1-0.05,0,1)"

We found the upper limit like this:

0.02+1.64\sqrt{\frac{0.02 (1-0.02)}{500}}=0.03026

And the interval would be: (-\infty,0.03026)

And since our value (0.02) is contained in the interval We fail to reject the hypothesis that p=0.03

Step-by-step explanation:

Part a

Data given and notation  

n=500 represent the random sample taken

X=10 represent the number of objects rejected

\hat p=\frac{10}{500}=0.02 estimated proportion of objects rejected

p_o=0.03 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that 70% of adults say that it is morally wrong to not report all income on tax returns.:  

Null hypothesis:p=0.03  

Alternative hypothesis:p < 0.03  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.02 -0.03}{\sqrt{\frac{0.03(1-0.03)}{500}}}=-1.31  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a one tailed left test the p value would be:  

p_v =P(Z  

If we compare the p value obtained and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of rejected items is less than 0.03.  

Part b

We can use a 95 percent upper confidence interval.

On this case we want a interval on this form : (-\infty,\hat p +z_{\alpha}\sqrt{\frac{\hat p (1-\hat p)}{n}})

So the critical value would be on this case Z_{\alpha}=1.64 and we can use the following excel code to find it: "=NORM.INV(1-0.05,0,1)"

We found the upper limit like this:

0.02+1.64\sqrt{\frac{0.02 (1-0.02)}{500}}=0.03026

And the interval would be: (-\infty,0.03026)

And since our value (0.02) is contained in the interval We fail to reject the hypothesis that p=0.03

3 0
3 years ago
I literally don't understand this at all.
Rzqust [24]

Answer:

its just exaplining how does this exrcise work example 1^1 would be 1x1/

1^3          1x1x1x1/      3^5       3x3x3x3x3/     3x3=9 9x3 =27 27x3 =81    81x3=243

Step-by-step explanation:

6 0
3 years ago
How many triangles exist with the given side lengths?7 in, 7 in, 7 in
LekaFEV [45]
1 triangle, it would be an equilateral one.
3 0
3 years ago
Someone please help me with this im literally desperate
sladkih [1.3K]

Answer:

x^4 - 3x^2 - 4

x^4 - (4-1)x^2 - 4

x^4 - 4x^2 + x^2 - 4

x^2( x^2 - 4 ) + 1 ( x^2 - 4 )

( x^2 - 4 ) (x^2 + 1 )

4 0
2 years ago
What is the multiple of two numbers and one of the number is a multiple of another give an example
balu736 [363]
16 and 8 are multiples of 4. 16 is a multple of 8.
3 0
3 years ago
Other questions:
  • A striped marlin can swim at a rate of 70 miles per hour. Is this a faster or slower rate than a sailfish, which takes 30 minute
    8·2 answers
  • If f(x)=3x^2-2, find (-3)*f(x)<br>A. -6x^2-6<br>B. 9x^2-6<br>C. -6x^2+6<br>D. -9x^2+6
    7·1 answer
  • What are the solutions to this equation?
    9·1 answer
  • What were the heating coses for December and January together?
    7·1 answer
  • The area of the sector of a circle of radius r/2 and central angle 2θ is __________
    7·1 answer
  • macey bought 11 apple pies at the bakery. she wants to give each of her 4 friends equal amounts of pie how much will each friend
    13·2 answers
  • IN DESPERATE NEED OF HELP!!!! TIMED TEST!!! WILL GIVE BRAINLYEST!! No links or I will report u
    14·1 answer
  • Mr. Santiago can buy light fixtures in packages of 12 and light bulbs in packages of 9. He bought the fewest number of light fix
    12·2 answers
  • Mr.Hawkins is covering a wall with wallpaper. The rectangular wall measure 14 feet by 12 feet. each square foot of wallpaper cos
    13·1 answer
  • Help please!! I need to figure out the are of the shape pls explain answer
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!