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
anyanavicka [17]
3 years ago
12

Area of this rectangular pyramid please

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0
The rectangular prism has an area of 1188.
You might be interested in
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) =
Troyanec [42]

Answer:

a) P (x <= 3 ) = 0.36

b) P ( 2.5 <= x <= 3  ) = 0.11

c) P (x > 3.5 ) = 1 - 0.49 = 0.51

d) x = 3.5355

e) f(x) = x / 12.5

f) E(X) = 3.3333

g) Var (X) = 13.8891  , s.d (X) = 3.7268

h) E[h(X)] = 2500

Step-by-step explanation:

Given:

The cdf is as follows:

                           F(x) = 0                  x < 0

                           F(x) = (x^2 / 25)     0 < x < 5

                           F(x) = 1                   x > 5

Find:

(a) Calculate P(X ≤ 3).

(b) Calculate P(2.5 ≤ X ≤ 3).

(c) Calculate P(X > 3.5).

(d) What is the median checkout duration ? [solve 0.5 = F()].

(e) Obtain the density function f(x). f(x) = F '(x) =

(f) Calculate E(X).

(g) Calculate V(X) and σx. V(X) = σx =

(h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].

Solution:

a) Evaluate the cdf given with the limits 0 < x < 3.

So, P (x <= 3 ) = (x^2 / 25) | 0 to 3

     P (x <= 3 ) = (3^2 / 25)  - 0

     P (x <= 3 ) = 0.36

b) Evaluate the cdf given with the limits 2.5 < x < 3.

So, P ( 2.5 <= x <= 3 ) = (x^2 / 25) | 2.5 to 3

     P ( 2.5 <= x <= 3  ) = (3^2 / 25)  - (2.5^2 / 25)

     P ( 2.5 <= x <= 3  ) = 0.36 - 0.25 = 0.11

c) Evaluate the cdf given with the limits x > 3.5

So, P (x > 3.5 ) = 1 - P (x <= 3.5 )

     P (x > 3.5 ) = 1 - (3.5^2 / 25)  - 0

     P (x > 3.5 ) = 1 - 0.49 = 0.51

d) The median checkout for the duration that is 50% of the probability:

So, P( x < a ) = 0.5

      (x^2 / 25) = 0.5

       x^2 = 12.5

      x = 3.5355

e) The probability density function can be evaluated by taking the derivative of the cdf as follows:

       pdf f(x) = d(F(x)) / dx = x / 12.5

f) The expected value of X can be evaluated by the following formula from limits - ∞ to +∞:

         E(X) = integral ( x . f(x)).dx          limits: - ∞ to +∞

         E(X) = integral ( x^2 / 12.5)    

         E(X) = x^3 / 37.5                    limits: 0 to 5

         E(X) = 5^3 / 37.5 = 3.3333

g) The variance of X can be evaluated by the following formula from limits - ∞ to +∞:

         Var(X) = integral ( x^2 . f(x)).dx - (E(X))^2          limits: - ∞ to +∞

         Var(X) = integral ( x^3 / 12.5).dx - (E(X))^2    

         Var(X) = x^4 / 50 | - (3.3333)^2                         limits: 0 to 5

         Var(X) = 5^4 / 50 - (3.3333)^2 = 13.8891

         s.d(X) = sqrt (Var(X)) = sqrt (13.8891) = 3.7268

h) Find the expected charge E[h(X)] , where h(X) is given by:

          h(x) = (f(x))^2 = x^2 / 156.25

  The expected value of h(X) can be evaluated by the following formula from limits - ∞ to +∞:

         E(h(X))) = integral ( x . h(x) ).dx          limits: - ∞ to +∞

         E(h(X))) = integral ( x^3 / 156.25)    

         E(h(X))) = x^4 / 156.25                       limits: 0 to 25

         E(h(X))) = 25^4 / 156.25 = 2500

8 0
3 years ago
0.09+27/100=?/100+27/100​
Naily [24]

Answer:

x = 9

Step-by-step explanation:

0.09+27/100=x/100+27/100

0.09=x/100

9=x

4 0
3 years ago
Read 2 more answers
Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?
SashulF [63]

Answer:

It has two solutions.

Step-by-step explanation:

Let as consider the given options are  

It has no solution.

It has one solution.

It has two solutions.

It has infinitely many solutions.

The given equation is

\dfrac{3}{4z}=\dfrac{1}{4z-3}+5

Multiply both sides by 4z(4z-3).

3(4z-3)=4z+5(4z(4z-3))

12x-9=4z+80z^2-60z

0=-12x+9+80z^2-56z

0=80z^2-68z+9

It is a quadratic equation.

Therefore, it has two solutions.

6 0
3 years ago
Just need help on 1 &amp; 2
8090 [49]
The x will be 2.33 and the scale factor will be 1/3

6 0
3 years ago
Read 2 more answers
What is the value of the expression below when w=9 and x=3?<br> 2W - 2x
Vikentia [17]

Answer:

Step-by-step explanation:

2(9)-3(3)=9

6 0
3 years ago
Other questions:
  • Simplify the expression.
    12·1 answer
  • What is the range of y=|2x-1|
    11·1 answer
  • If 4.5 pounds of cherries cost $10, what is the unit price per pound
    12·1 answer
  • What is x-3&lt; 1 in interval notation
    9·1 answer
  • the tennis team wants to purchase tshirts for its members . company A charges a$20 setup fee and $8 per shirt company B charges
    12·1 answer
  • What is the difference between “ and “ and “ or “ ?
    15·1 answer
  • In triangle def the measure of angle F=90 degrees fe=21 df=20cand ed=29 what is the cosine of angle e to nearest hundredth
    8·1 answer
  • 26 multiplied by 16 what’s the answer
    15·2 answers
  • Is this table a function? why or why not?
    10·1 answer
  • Each face of a number cube is a square with a side length of 16 millimeters. What is the total area of all of the faces of the n
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!