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pogonyaev
3 years ago
12

Part A) Julio makes a scale drawing of the kitchen floor to determine how many square feet of flooring he needs to buy . The sca

le of his drawing is 1 inch:4 feet. (The length is 4 1/2 and the width is 3 3/8)
What is the actual are of Julio's kitchen floor?

Part B) Julio makes a scale drawing of part of the kitchen wall to design a tile pattern. He will use gray tiles and white tiles to form the pattern shown. The length of each square in the drawing represents 1/2 foot on the actual kitchen wall. (There are 14 gray tiles and 10 white tiles)

If Julio uses 2-inch by 2-inch tiles, how many tiles of each color will he need?
Mathematics
2 answers:
serg [7]3 years ago
6 0
Part A) 
we know that
<span>scale ---------->  inch/4 feet=0.25 in/ft

</span>[scale]=[scale drawing]/[actual]
[actual]=[scale drawing]/[scale]

for <span>length --------> 4 1/2 in ---------> 4.5 in  (</span>scale drawing)
[actual]=[4.5]/[0.25]=18 ft

for <span>width ---------> 3 3/8 in</span> ---> (3*8+3)/8 ---> 27/8 in  (scale drawing)
[actual]=[27/8]/[0.25]=13.5 ft

the answer part A is
length actual <span>kitchen floor is 18 ft
</span>width actual kitchen floor is 13.5 ft

Part B)  
the area of one square in the actual=(1/2)*(1/2)=0.25 ft²
total area gray tiles=0.25*14=3.5 ft²
total area white tiles=0.25*10=2.5 ft²

find <span>how many tiles 2 in by 2 in of each color will he need
1ft</span>²-------------> 144 in²
gray tiles
3.5 ft²---------------> 3.5*144=504 in²
[tiles 2 in by 2 in gray]=504/(2*2)=126 gray tiles 

white tiles
2.5 ft²---------------> 2.5*144=360 in²
[tiles 2 in by 2 in white]=360/(2*2)=90 white tiles 

the answer Part B) is
126 gray tiles
90 white tiles 



Kitty [74]3 years ago
5 0

Answer:

Sample response: Julio divided 6 whole parts into groups of 2 instead of dividing them into groups of  

1

2

which would make the quotient 12, not 3.

Step-by-step explanation:

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4 0
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Independent random samples of vehicles traveling past a given point on an interstate highway have been observed on monday versus
quester [9]
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To compare this two sets of data, you need to use a t-student test:

You have the following data:

-Monday n1=16; <span>x̄1=59,4 mph; s1=3,7 mph

-Wednesday n2=20;  </span>x̄2=56,3 mph; s2=4,4 mph

You need to calculate the statistical t, and compare it with the value from tables. If the value you obtained is bigger than the tabulated one, there is a statistically significant difference between the two samples.

t= \frac{X1-X2}{ \sqrt{ \frac{(n1-1)* s1^{2}+(n2-1)* s2^{2} }{n1+n2-2}} * \sqrt{ \frac{1}{n1}+ \frac{1}{n2}} } =2,2510

To calculate the degrees of freedom you need to use the following equation:

df= \frac{ (\frac{ s1^{2}}{n1} + \frac{ s2^{2}}{n2})^{2}}{ \frac{(s1^{2}/n1)^{2}}{n1-1}+ \frac{(s2^{2}/n2)^{2}}{n2-1}}=33,89≈34

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So, as the calculated value is higher than the critical tabulated one, we can conclude that the average speed for all vehicles was higher on Monday than on Wednesday.



5 0
3 years ago
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