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
Helga [31]
3 years ago
12

A square picture frame occupies an area of 112 ft2 . What is the length of each side of the picture in simplified radical form?

Show your work
Mathematics
2 answers:
antiseptic1488 [7]3 years ago
8 0
It would be 28 because you have to divide 112 into 4, because the picture is a square(most likely) so its sides are all equal
Kazeer [188]3 years ago
5 0
A = a^2
112 = a^2
sqrt 112 = a
sqrt 16 * sqrt 7 = a
4 sqrt 7 = a

so 4 sqrt 7 is the length of each side
You might be interested in
I need help please help meeeeeeeee I don’t understand
Pie

Answer:

n-3

Step-by-step explanation:

Notice that the output is always 3 less than the input

output is input -3

f(n) = n-3

7 0
3 years ago
65%of 186 = show how you did it so i can learn how to do it please
Natali [406]
It is pretty simple
All you have to do is multiply 186 times .65 which you get 120.9
So that's all you have to do
6 0
3 years ago
Read 2 more answers
The joint probability density function of X and Y is given by fX,Y (x, y) = ( 6 7 x 2 + xy 2 if 0 < x < 1, 0 < y < 2
fredd [130]

I'm going to assume the joint density function is

f_{X,Y}(x,y)=\begin{cases}\frac67(x^2+\frac{xy}2\right)&\text{for }0

a. In order for f_{X,Y} to be a proper probability density function, the integral over its support must be 1.

\displaystyle\int_0^2\int_0^1\frac67\left(x^2+\frac{xy}2\right)\,\mathrm dx\,\mathrm dy=\frac67\int_0^2\left(\frac13+\frac y4\right)\,\mathrm dy=1



b. You get the marginal density f_X by integrating the joint density over all possible values of Y:

f_X(x)=\displaystyle\int_0^2f_{X,Y}(x,y)\,\mathrm dy=\boxed{\begin{cases}\frac67(2x^2+x)&\text{for }0

c. We have

P(X>Y)=\displaystyle\int_0^1\int_0^xf_{X,Y}(x,y)\,\mathrm dy\,\mathrm dx=\int_0^1\frac{15}{14}x^3\,\mathrm dx=\boxed{\frac{15}{56}}

d. We have

\displaystyle P\left(X

and by definition of conditional probability,

P\left(Y>\dfrac12\mid X\frac12\text{ and }X

\displaystyle=\dfrac{28}5\int_{1/2}^2\int_0^{1/2}f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=\boxed{\frac{69}{80}}

e. We can find the expectation of X using the marginal distribution found earlier.

E[X]=\displaystyle\int_0^1xf_X(x)\,\mathrm dx=\frac67\int_0^1(2x^2+x)\,\mathrm dx=\boxed{\frac57}

f. This part is cut off, but if you're supposed to find the expectation of Y, there are several ways to do so.

  • Compute the marginal density of Y, then directly compute the expected value.

f_Y(y)=\displaystyle\int_0^1f_{X,Y}(x,y)\,\mathrm dx=\begin{cases}\frac1{14}(4+3y)&\text{for }0

\implies E[Y]=\displaystyle\int_0^2yf_Y(y)\,\mathrm dy=\frac87

  • Compute the conditional density of Y given X=x, then use the law of total expectation.

f_{Y\mid X}(y\mid x)=\dfrac{f_{X,Y}(x,y)}{f_X(x)}=\begin{cases}\frac{2x+y}{4x+2}&\text{for }0

The law of total expectation says

E[Y]=E[E[Y\mid X]]

We have

E[Y\mid X=x]=\displaystyle\int_0^2yf_{Y\mid X}(y\mid x)\,\mathrm dy=\frac{6x+4}{6x+3}=1+\frac1{6x+3}

\implies E[Y\mid X]=1+\dfrac1{6X+3}

This random variable is undefined only when X=-\frac12 which is outside the support of f_X, so we have

E[Y]=E\left[1+\dfrac1{6X+3}\right]=\displaystyle\int_0^1\left(1+\frac1{6x+3}\right)f_X(x)\,\mathrm dx=\frac87

5 0
3 years ago
7392 rounded to nearest hundred
Pie
7392 rounded to the nearest hundred is 7400
6 0
3 years ago
Read 2 more answers
Two numbers have a sum of 761 and a difference of 335.what are the 2 numbers ​
melisa1 [442]

Answer:

548 and 213

Step-by-step explanation:

Use a linear function:

Let x = 1st number

Let y = 2nd number

x+y=761

x-y=335

2x=1096

x=548

plug x into either equation

548+y=761

y=761-548

y=213

548-y=335

-y=-213

y=213

6 0
3 years ago
Other questions:
  • Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
    5·1 answer
  • Mark has a board that is 12 feet long. He cuts the board into 8 peices that are the same length. How long is each peice
    15·1 answer
  • A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately h
    6·1 answer
  • Given the midpoint and one endpoint of a line segment, find the other endpoint.
    9·1 answer
  • 5|3-14|-|-7| what is
    7·1 answer
  • Solve the following inequality:<br> 7 &lt; 6.4+3(-6x – 4.3)
    5·2 answers
  • AJKL is similar to ARST. What is the value of x?
    7·2 answers
  • The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point- slope
    8·1 answer
  • Pre calculus law of sines
    7·1 answer
  • Help me to answer this pls​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!