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
Natalija [7]
3 years ago
7

The length of a rectangle is 6m longer than its width. If the perimeter of the rectangle is 52m, find its area

Mathematics
1 answer:
sveticcg [70]3 years ago
4 0
If length is x, then width is 6+x 
<span>Perimeter = 2*(x + 6+x) = 52 </span>
<span>2*6 + 2*2x = 52 </span>
<span>4x = 52 - 12 = 40 </span>
<span>x = 40/4 = 10 </span>

<span>Area = length*width = 10*(6+10) </span>
<span>Area = 10*16 = 160 meter square</span>
You might be interested in
What is the ANSWER to this problem
Vadim26 [7]

Answer:


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
In the expression z-2t+49-q, what is 49 called?
ZanzabumX [31]
I think
it’s a uhhhh , i think it’s a carrot
8 0
3 years ago
A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n
mafiozo [28]

Answer:

z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10  

p_v =P(z>2.10)=0.018  

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

\hat p=\frac{40}{120}=0.333 estimated proportion of strawberries damaged

p_o=0.25 is the value that we want to test

\alpha represent the significance level

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 no more than 25% of his total harvest of strawberries was damaged.:  

Null hypothesis:p\leq 0.25  

Alternative hypothesis:p > 0.25  

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{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10  

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 next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.10)=0.018  

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

6 0
3 years ago
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 26.
Gelneren [198K]

Answer:

Maggie is 6 years old

Step-by-step explanation:

M + B = 26

B = 26 - M

4M - 4 = B

4M - 4 = 26 - M

5M = 30

M = 6

Maggie is 6 years old

3 0
3 years ago
Elijah earns $200 for 8 hours of work.What is the rate (in dollars per item)
MAXImum [283]
25 dollars per hour should be the correct answer
6 0
3 years ago
Other questions:
  • Which of the following is a counterexample to the statement "All odd numbers are divisible by 3"?
    10·2 answers
  • Identify a3 of this sequence: 0.25, 0.5, 0.75, 1, 1.25, 1.5, … a3 =
    6·2 answers
  • Determine the value of in, in each of the following cases, where n represents all positive integer values.
    6·1 answer
  • PLEASE PLEASE SOMEONE HELP!!!!!!!
    9·1 answer
  • PLEASE HELP ME !!!
    10·2 answers
  • 19. Find the perimeter of a triangle if the side lengths are 3 1/2 ft, 5 2/3 ft,<br> and 4 1/6 ft.
    13·1 answer
  • Please help meeeee!!!!!
    10·1 answer
  • I WILL GIVE BRAINLEST
    12·1 answer
  • Math question - help due today
    12·2 answers
  • Poly grams test istg I hate geometry
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!