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3 years ago

For Each Data Set, Determine the median, the first and third Quartiles, and the interquartile Range.

1 answer:

4 0

Text per day: median= 26 1st quartile= 19 3rd quartile=38 Interquartile=19 Daily attendance: median=357.5 1st quartile=298 3rd quartile=422 Interquartile= 124

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A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estim

raketka [301]

Answer: The cost to tile the floor is $318.24.

Step-by-step explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

$12\times 17\\\\=204\ sq.\ foot$

As we know that 1 foot = 12 inch

So, Area of floor would be

$204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot$

Dimension of brick tiles is given by

$3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}$

So, Area of brick tiles is given by

$2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}$

So, Number of clay brick would be

$29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442$

cost of each clay brick = $0.72

So, Total cost of flooring would be

$442\times 0.72\\\\=\$318.24$

Hence, The cost to tile the floor is $318.24.

7 0

3 years ago

How to convert base two to base three

sladkih [1.3K]

Consider this example: say we want to convert x = 11 0101 1001₂ to base 3.

The binary expansion of x is

x = 1×2⁹ + 1×2⁸ + 1×2⁶ + 1×2⁴ + 1×2³ + 1×2⁰

which in base 10 reduces to

x = 512 + 256 + 64 + 16 + 8 + 1 = 857

Recall the first several powers of 3:

3⁰ = 1; 3¹ = 3; 3² = 9; 3³ = 27; 3⁴ = 81; 3⁵ = 243; 3⁶ = 729

Now it's a matter of computing quotients and remainders. Pick the largest power of 3 that fits into the target number, then check the remainder and repeat.

• How many times does the 729 go into 857? 1 time, and it leaves a remainder of 128, or

857 = 1×729 + 128 = 1×3⁶ + 128

• How many times does 81 go into 128? Also 1 time, so

128 = 1×81 + 47 = 1×3⁴ + 47

• How many times does 27 go into 47? Also 1 time,

47 = 1×27 + 20 = 1×3³ + 20

• How many times does 9 go into 20? 2 times,

20 = 18 + 2 = 2×9 + 2 = 2×3² + 2

• How many times does 1 go into 2? Also 2 times,

2 = 2 + 1 = 2×1 + 0 = 2×3⁰

So we found

857 = 1×3⁶ + 1×3⁴ + 1×3³ + 2×3² + 2×3⁰

which is the ternary expansion of x,

x = 1 011 202₃

6 0

3 years ago

Find all x-coordinates of points (x,y) on the curve y = [(x - 5 )^6]/(x - 6 )^8

Genrish500 [490]

Answer:

Step-by-step explanation:

To obtain all coordinates of points (x,y) on the curve y = [(x - 5 )^6]/(x - 6 )^8, we deduce the value of X for which y is undefined as thus,

(x - 6 )^8 = 0

: (x - 6 ) = 0 : X=6

Therefore, all x-coordinates of points (x,y) on the curve are values of X < 6

4 0

3 years ago

Simplify 3 square root of -96

myrzilka [38]

Answer: y = x 2 + 93 x − 288

Your Welcome

5 0

3 years ago

bone-shaped treats are five for 3:50 at Shelly store in Sarah wants to buy 12 she set up and solve this proportion to find how m

Valentin [98]

Answer:

8.4 dollars

Step-by-step explanation:

The error is in the resolution of the proportion. In fact, the initial proportion is correct:

$\frac{5}{3.5}=\frac{12}{x}$

where x is the total cost. However, the following step of the resolution is wrong. In fact, the correct resolution is the following:

- Multiplying by x on both sides:

$\frac{5x}{3.5}=12$

- Multiplying by 3.5 no both sides:

$5 x = 12 \cdot 3.5 \\5x = 42$

And now we can find x:

$x=\frac{42}{5}=8.4$

So, the total cost is 8.4 dollars.

3 0

3 years ago

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