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chubhunter [2.5K]
3 years ago
8

The sum of two numbers is 80. The difference between the number is 14. Find the numbers

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

80 -14=66 and 66-80=52 if we check the 66-52 the difference will be 14

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Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool
Zolol [24]

Answer:

19.82 units

Step-by-step explanation:

The number of units of tile simply refers to the perimeter.

So, we need to find all the sides of the rectangle.

Now, we have AB = 4.24 units and BD = 7.07 units.

So, we can find AD using pythagoras theorem.

So,

(AD)² + 4.24² = 7.07²

(AD)² + 17.978 = 49.985

(AD)² = 49.985 - 17.978

AD = √32.007

AD = 5.66 units

AD = BC = 5.66 units

Likewise, AB = DC = 4.24 units

Thus,

perimeter = 2(5.66) + 2(4.24) = 19.8 units

Closest answer among the options is approximately 19.82

7 0
3 years ago
the first six terms of a pattern are given below. write an equation to represent the pattern. 8,13,18,23,28 and 33
Karolina [17]
U just add 5 each time
3 0
4 years ago
Brian recorded the number of commercials played during two types of television shows: an educational documentary and a primetime
Sladkaya [172]

Answer:

m(x)_A = 5.2 --- Mean absolute deviation of educational documentary

m(x)_B = 4.7 --- Mean absolute deviation of prime time drama

Step-by-step explanation:

Given

n = 10

See attachment for table

Required

Determine the mean absolute deviation of each

Mean absolute deviation m(x) is calculated as:

m(x) = \frac{1}{n}\sum |x - \mu|

For Educational Documentary

First, calculate the mean

\mu = \frac{\sum x}{n}

So:

\mu_A = \frac{26 + 28 + 30 + 18+27 + 18 + 20 +31+17+17}{10}

\mu_A = \frac{232}{10}

\mu_A = 23.2

The mean absolute deviation is then calculated as:

m(x)_A = \frac{1}{n}\sum |x - \mu_A|

m(x)_A = \frac{1}{10}(|26 -23.2| +|28  -23.2| +|30  -23.2| +|18 -23.2| +|27 -23.2| +|18  -23.2| +|20 -23.2| +|31 -23.2| +|17 -23.2| +|17 -23.2|)

m(x)_A = \frac{1}{10}(|2.8| +|4.8| +|6.8| +|-5.2| +|3.8| +|-5.2| +|-3.2| +|7.8| +|-6.2| +|-6.2|)

m(x)_A = \frac{1}{10}(2.8 +4.8 +6.8 +5.2 +3.8 +5.2 +3.2 +7.8 +6.2 +6.2)

m(x)_A = \frac{1}{10}*52

m(x)_A = 5.2

For Prime time Drama

First, calculate the mean

\mu = \frac{\sum x}{n}

So:

\mu_B = \frac{39+39+35+29+40+27+41+29+32+30}{10}

\mu_B = \frac{341}{10}

\mu_B = 34.1

The mean absolute deviation is then calculated as:

m(x)_B = \frac{1}{n}\sum |x - \mu_B|

m(x)_B = \frac{1}{10}(|39-34.1|+|39-34.1|+|35-34.1|+|29-34.1|+|40-34.1|+|27-34.1|+|41-34.1|+|29-34.1|+|32-34.1|+|30-34.1|)

m(x)_B = \frac{1}{10}(|4.9|+|4.9|+|0.9|+|-5.1|+|5.9|+|-7.1|+|6.9|+|-5.1|+|-2.1|+|-4.1|)

m(x)_B = \frac{1}{10}(4.9+4.9+0.9+5.1+5.9+7.1+6.9+5.1+2.1+4.1)

m(x)_B = \frac{1}{10}*47

m(x)_B = 4.7

6 0
3 years ago
Which of the following formulas would find the lateral area of a right cone where r is the radius and s is slant height?
grin007 [14]
The answer is C: LA=pi rs
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Read 2 more answers
Solve (x - 5)^2 = 3.
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Answer:

Step-by-step explanatil

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