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
nikklg [1K]
3 years ago
11

The length of a rectangle is 3 inches more than its width. the area of the rectangle is 40 square inches. what is the length, in

inches, of the rectangle?
Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0
Since width is the smaller value, set width=x. That wold mean that length=x+3. Since Area=width*length, 40=x(3+x). Distribute the x to give you 40=3x+x^2. Set the equation equal to 0 giving you x^2+3x-40=0. Factor the equation to give you (x+8)(x-5)=0. Set each factor equal to 0. x+8=0 gives you x=-8 & x=-5 gives you x=5. Since we're working with lengths of objects, it can't be negative. Therefore, your width is 5. To find length, substitute width into the original expression (x+3). Therefore, length is 5+3=8.
You might be interested in
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

8 0
3 years ago
Help please!! Show work if possible!
Natasha2012 [34]

Answer:

Please see the attached pictures for full solution.

5 0
3 years ago
Supposed you have been given the task of engineering this product knowing that in your state the cost of electricity is 18 cents
Usimov [2.4K]

You would have about 3472 Hours

.18\8=1.44 for 8 hour

5000/1.44=3472

Hope this helps :)

5 0
3 years ago
You spin each spinner once. On the spinners, R represents red, B represents blue, G represents green, Y represents yellow, and P
NeTakaya

Answer:

1/6

1/12

1/2

Step-by-step explanation:

There are three possible outcomes in the left spinner, and four possible outcomes in the right spinner.  So there are a total of 3×4=12 possible combinations.  We can show that by making a grid:

\left[\begin{array}{cccc}&R&B&G\\R&RR&BR&GR\\B&BR&BB&BG\\P&PR&BP&GP\\Y&RY&BY&GY\end{array}\right]

Of these 12 combinations, 2 show both spinners landing on the same color (RR and BB).  So the probability is 2/12 = 1/6.

There is only 1 outcome in which the first spinner lands on R <em>and</em> the second spinner lands on P (PR), so the probability is 1/12.

There are 6 outcomes in which the first spinner lands on R <em>or</em> the second spinner lands on P (RR, BR, PR, RY, BP, GP).  So the probability is 6/12 = 1/2.

7 0
3 years ago
A marina is in the shape of a coordinate grid. Boat A is docked at (4.2, −2) and Boat B is docked at (−5.2, −2). The boats are _
Illusion [34]
9.4 units apart, I don’t know why they me you put 20 words it’s stupid
6 0
3 years ago
Other questions:
  • W + 19 = 49 and W = 30<br> O True<br> False
    15·2 answers
  • .4(2X+1/2)=3[.2X+(-2)]-4 <br><br> can u also show the check
    8·1 answer
  • Hannah has a grid of squares that 12 rows with 15squares in each row she colors 5 rows of 8 squares in the middle of the grid of
    5·1 answer
  • Help with #7 and #8?
    6·1 answer
  • Stuck on this one please help
    14·1 answer
  • A car leaves Orlando, FL and travels east toward West Palm Beach. The
    8·2 answers
  • One real life application of circles is?
    12·1 answer
  • Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16
    8·1 answer
  • Ana uses Talk-A-Lot and Peter uses Talk-to-Me. Each company charges
    6·1 answer
  • Help please im slow and dont feel like doing this lol
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!