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stepladder [879]
3 years ago
6

What is the Pythagorean Theorem

Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

The Pythagorean theorem is for right triangles.  It uses the two legs and the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

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Given a sample mean difference of 23, a standard error of 4.2, and a critical t value of 2.262, what are the values for the conf
erastova [34]

Answer: (13.4996, 32.5004)

Step-by-step explanation:

The confidence interval for mean difference is given by :-

(\overline{x}_1-\overline{x}_2)\pm t^*\times SE ,

where (\overline{x}_1-\overline{x}_2) = sample mean difference .

t^*= critical t value (two-tailed)

SE= Standard error.

Given : (\overline{x}_1-\overline{x}_2)=23

t^*=2.262

SE= 4.2

Now, the confidence interval for mean difference will be :-

23\pm (2.262)\times (4.2)\\\\= 23\pm9.5004\\\\=(23-9.5004,\ 23+9.5004)\\\\=(13.4996,\ 32.5004)

Hence, the required confidence interval : (13.4996, 32.5004)

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Deanna knows that the floor in her kitchen is a square with an area of 169 ft2. The perimeter of her kitchen floor is found by a
Savatey [412]

Answer:

52 ft

Step-by-step explanation:

area of a square is l x w. all sides are equal so the l = w

A = 169 ft^2 so each side is the square root of 169 which is 13 ft

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3 years ago
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Find the GCF. 12, 18, and 84
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Step-by-step explanation:

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3 years ago
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A 17 foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the
Vsevolod [243]

Answer:

Shorter piece= 4 ft, longer piece= 13 ft

Step-by-step explanation:

If shorter piece is x

Longer pc is 2x + 5

Together they make 17 feet

So x + 2x + 5 = 17

3 x + 5 = 17

3x = 17 - 5 = 12

3x = 12

X = 12/ 3 = 4

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Longer pc is 2 x + 5

= (2 x 4) + 5

= 8 + 5 = 13

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