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Goshia [24]
2 years ago
7

Rena is building a 1:1801:1801, colon, 180 scale model of a real castle. Her model has a rectangular base that is 333 feet wide

and 444 feet long. What is the area of the base of the actual castle in square feet?
Mathematics
1 answer:
liubo4ka [24]2 years ago
7 0

Answer:

388,800 ft^2.

Step-by-step explanation:

Scale = 1 : 180

Actual length, Ls = 180 × 4

= 720 ft

Actual width, Bs = 180 × 3

= 540 ft

Area of a rectangle = Ls × Bs

= 540 × 720

= 388,800 ft^2.

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What are all the expressions that equivalent to 2(15 - 20d + 5c)
ruslelena [56]

Answer:

-6  +   8d -   2c        

-2c +8d -6                

-2 (3 - 4d + c)  

Step-by-step explanation:

hope this helps

7 0
2 years ago
Read 2 more answers
3.52 A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses.
Rufina [12.5K]

Answer:

a)  The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

b)  P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

c) P ( z = 0 ) = 0.6

  P ( z = 1 ) = 0.4

Step-by-step explanation:

Number of head on first toss = Z

Total Number of heads on 2 tosses = W

% of head occurring = 40%

% of tail occurring = 60%

P ( head ) = 2/5 ,    P( tail ) = 3/5

<u>a) Determine the joint probability distribution of W and Z </u>

P( W =0 |Z = 0 ) = 0.6         P( W = 0 | Z = 1 ) = 0

P( W = 1 | Z = 0 ) = 0.4        P( W = 1 | Z = 1 ) = 0.6

P( W = 1 | Z = 0 ) = 0           P( W = 2 | Z = 1 ) = 0.4

The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

<u>B) Marginal distribution of W</u>

P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

<u>C) Marginal distribution of Z ( pmf of Z )</u>

P ( z = 0 ) = 0.6

P ( z = 1 ) = 0.4

8 0
2 years ago
Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x + 2y = 21
max2010maxim [7]
Yes. x=3 and y =9 are the solutions.
 Because if you change x=3 and y =9 ,you will have 
3+2* 9 =21
3+18 =21
21 =21 (true)
6 0
2 years ago
Read 2 more answers
During the summer, Abrielle is a cashier at a grocery store and Zane serves ice cream. To show their earnings, Abrielle makes a
disa [49]
The slope of Zane is 18.50/2 = 9.25

Subtract both slopes to find the true statement.

10.5 - 9.25 = 1.25

The correct statement is:

abrielle earns $1.25 more than zane.

Hope this helps :)
7 0
2 years ago
Read 2 more answers
The table shows the number of grapes eaten over several minutes. What is the rate of change for the function on the table? 15 gr
Mkey [24]

Answer:

1. 15 grapes eaten per minute.

Step-by-step explanation:

We have been given a table that shows the number of grapes eaten over several minutes. We are asked to find the rate of change of our given function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.  

\text{Rate of change of a function}=\frac{\text{Vertical change}}{\text{Horizontal change}}

\text{Rate of change of a function}=\frac{y_2-y_1}{x_2-x_1}

y_2-y_1=Difference between two y-coordinates.

x_2-x_1=Difference between corresponding x-coordinates of y-coordinates.    

Upon substituting coordinates of any two points in above formula we will get,

\text{Rate of change of the function}=\frac{60-15}{4-1}

\text{Rate of change of the function}=\frac{45}{3}

\text{Rate of change of the function}=15

We can see that rate of change of our given function is 15 grapes eaten per minute and 1st option is the correct choice.


7 0
2 years ago
Read 2 more answers
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