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
Pie
2 years ago
12

Mr. Pete just got a great deal at Lowe’s on tiles for his new patio. He wants to

Mathematics
1 answer:
sdas [7]2 years ago
8 0

Answer:

The fewest square tiles he can use without cutting any of them = 12 square tiles

Step-by-step explanation:

The given dimensions of Mr. Pete's rectangular patio = 108 inches by 144 inches

The area of the patio = 108 in. × 144 in. = 15,552 in.²

We note that when square tiles are used the must fit both the length and the with of the rectangular patio

Therefore, we have;

The dimensions of the square tiles that the fewest number of tiles is the highest common factor, HCF, of 108 inches and 144

The HCF of 108 and 144 are found from by the prime factors as follows;

108 = 2² × 3³ = 2² × 3² × 3

144 = 2⁴ × 3² = 2² × 3² × 4

From which we have;

The HCF of 108 and 144 = 2² × 3² = 36

Therefore, the size of the sides of the square tiles that will give the fewest number of tiles is 36 inches

The number of the 36 inches square tiles that fit into the length of the rectangular patio = 144 inches/(36 inches/tile) = 4 tiles

The number of the 36 inches square tiles that fit into the breadth of the rectangular patio = 108 inches/(36 inches/tile) = 3 tiles

The total number of tiles he will use = (4 × 3) tiles = 12 tiles = The fewest square tiles he can use without cutting any of them.

You might be interested in
How to multiple 90km/h x 1h 30min
sveta [45]
90 km/ h x 1.5 h = 135 km
7 0
3 years ago
there are 60 boys and 72 girls in a school. the principle wants to divide the students into gender-specific groups ( all boys or
Tamiku [17]
Hello there,
You want to split them into gender specific groups.
So...
Find the HCF(highest common factor) of 60 & 72 
The answer will be shown in the picture
I have done 2 methods :))


7 0
3 years ago
PLSSSS HELPPP<br><br> 4 ¼ divided by 2 ½
notsponge [240]

Answer:

1.7 or 1 7/10

Step-by-step explanation:

5 0
2 years ago
PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!
hjlf

Answer:

D

Step-by-step explanation:

3 0
3 years ago
The average salary of all residents of a city is thought to be about $39,000. A research team surveys a random sample of 200 res
Rina8888 [55]

Answer:

z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179    

p_v =2*P(z>1.179)=2*[1-P(Z    

Step-by-step explanation:

Data given and notation    

\bar X=4000 represent the average score for the sample    

s=12000 represent the sample standard deviation    

n=200 sample size    

\mu_o =39000 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to apply a two tailed test.    

What are H0 and Ha for this study?    

Null hypothesis:  \mu = 39000    

Alternative hypothesis :\mu \neq 39000    

Compute the test statistic  

The sample size is large enough to assume the distribution for the statisitc normal. The statistic for this case is given by:    

z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

We can replace in formula (1) the info given like this:    

z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179    

Give the appropriate conclusion for the test  

Since is a two tailed test the p value would be:    

p_v =2*P(z>1.179)=2*[1-P(Z    

Conclusion    

If we compare the p value and a significance level given for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the true population mean for the salary not differs significantly from the value of 39000.    

6 0
2 years ago
Other questions:
  • If you were to graph the linear equation 4x+6y=−12 on the semester test, you would need to determine the x- and y-intercepts, pl
    14·2 answers
  • In a survey of 5100 randomly selected T.V. viewers, 40% said they watch network news programs. Find the margin of error for this
    14·1 answer
  • Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = e^−2
    9·1 answer
  • Textbook search committee is considering 13 bucks for possible adoption committee has decided to select six of the 13 for furthe
    8·1 answer
  • A grocery store has fruit on sale -5 bananas for $1.50, 4 mangos for $5.00, and 3 oranges for $4.00. Mrs. Kang buys 15 bananas,
    10·1 answer
  • Write each power as a product and find each value. 10^3
    6·2 answers
  • A ski lodge charges $26 per day for a pass and $1.50 for every ski lift ride. A second ski
    6·1 answer
  • A Complete the information needed below.​
    14·1 answer
  • You get a job working at a restaurant. You earn $7 per hour and between $100 and
    14·1 answer
  • Which of the following is the solution for the inequality below? -3x+2&lt;8
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!