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Whitepunk [10]
2 years ago
10

4C. Quintin is using the three different shaped

Mathematics
1 answer:
Sauron [17]2 years ago
3 0

The smallest number of tiles Quintin will need in order to tile  his floor is 20

The given parameters;

  • number of different shapes of tiles available = 3
  • number of each shape = 5
  • area of each square shape tiles, A = 2000 cm²
  • length of the floor, L = 10 m = 1000 cm
  • width of the floor, W = 6 m = 600 cm

To find:

  • the smallest number of tiles Quintin will need in order to tile his floor

Among the three different shapes available, total area of one is calculated as;

A_{one \ square \ type} = 5 \times 2000 \ cm^2 = 10,000 \ cm^2

Area of the floor is calculated as;

A_{floor} = 1000 \ cm \times 600 \ cm = 600,000 \ cm^2

The maximum number tiles needed (this will be possible if only one shape type is used)

maximum \ number= \frac{Area \ of \ floor}{total \ area \ of \ one \ shape \ type} \\\\maximum \ number= \frac{600,000 \ cm^2}{10,000 \ cm^2} \\\\maximum \ number=  60

When all the three different shape types are used we can get the smallest number of tiles needed.

The minimum or smallest number of tiles needed (this will be possible if all the 3 different shapes are used)

3 \times \ smallest \ number  = 60\\\\smallest \ number = \frac{60}{3} \\\\smallest \ number = 20

Thus, the smallest number of tiles Quintin will need in order to tile  his floor is 20

Learn more here: brainly.com/question/13877427

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I'm confused I don't understand this??? Will give brainliest to whoever can help!
Nata [24]

Answer:

The Rome data center is best described by the mean. The New York data center is best described by the median

Step-by-step explanation:

Before moving forward, first we should understand that what is mean and median. Mean is the average of all the values in the data set. Median is the middle value of the data set in ascending order. As we noticed that there is an outlier in the data for NEW YORK (An outlier is an extreme value in the data set which is much higher or lower as compared to other numbers. It affects the mean value). Since outlier is found in the data of New York therefore mean is not a good representation on the central tendency of the data and gets distorted by the outlier. Therefore it is better to use median. While Rome does not have any outlier, so we can use mean for this.

Therefore we can say that the Rome data center is best described by the mean. The New York data center is best described by the median.

Thus option C is correct....

3 0
2 years ago
The owner of a fish market determined that the mean weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. A
madam [21]

Answer: The probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is 0.596

Step-by-step explanation:

Since the weights of catfish are assumed to be normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = weights of catfish.

µ = mean weight

σ = standard deviation

From the information given,

µ = 3.2 pounds

σ = 0.8 pound

The probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is is expressed as

P(x ≤ 3 ≤ 5.4)

For x = 3

z = (3 - 3.2)/0.8 = - 0.25

Looking at the normal distribution table, the probability corresponding to the z score is 0.401

For x = 5.4

z = (5.4 - 3.2)/0.8 = 2.75

Looking at the normal distribution table, the probability corresponding to the z score is 0.997

Therefore,.

P(x ≤ 3 ≤ 5.4) = 0.997 - 0.401 = 0.596

4 0
2 years ago
Sales tax is a function of the price of an item. The amount of sales tax is 0.08 times the price of the item. Use h to represent
Margaret [11]

Option C:

h(x) = 0.08x

Solution:

Given data:

Sales tax is a function of the price of an item.

Let h be the function.

Take x be the price of an item.

Amount of sales tax = 0.08 times price of the item

                                  = 0.08 × x

Amount of sales tax = 0.08x

⇒ h(x) = 0.08x

Hence the function is h(x) = 0.08x.

Option C is the correct answer.

5 0
2 years ago
the diagonal of a tv is 26 inches long assuming that this diagonal forms a tv pair 30-60-90 right triangles what are the exact l
Alexxandr [17]
It is an application of Pythagorean Theorem

And it is clear that the lower angle is 30 and the apex angle is 60 (this is how always normal TVs look like) ... refer to the image I attached

So, to calculate the width and the length:

\frac{length}{26} =cos(30)\\~\\length=26*cos(30)=13 \sqrt{3} ~~in

\frac{width}{26} =sin(30)\\~\\width=26*sin(60)=13~~in


You can after that round the length to be 22.517 in



Hope you got the idea

3 0
2 years ago
Terrence solves the problem and finds 53.04 x 4.6 = 2,439.84. Tara says that his product is incorrect. Fill in the blanks to hel
Burka [1]
Tara was right terrence was close but he put the(.) in the wrong spot the correct answer is 243.984 but terrence put 2439.84
                         ^                                             ^
                          l                                              l
                          l                                              l
7 0
2 years ago
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