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jonny [76]
2 years ago
11

Prove that the square of an odd number is always 1 more than a multiple of 4

Mathematics
1 answer:
loris [4]2 years ago
5 0

Answer:

By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.

Step-by-step explanation:

For examples,

Let's consider squares of 3, 11, 25, 37 and 131.

{3}^{2}  = 9

8 is a multiple of 4, and 9 is more than 8.

{11}^{2}  = 121

120 is a multiple of 4 and 121 is one more than it.

{25}^{2}  = 625

624 is a multiple of 4 and 625 is one more than it.

{37}^{2}  = 1369

1368 is a multiple of 4 and 1369 is one more than 1368.

{131}^{2}  = 17161

17160 is a multiple of 4.

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Mr. Zillow wants to research the prices in a Subdivision near Disney World called World of Homes. The prices of 14 homes in this
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Answer:

Looking for four values or answers

(A) 5.05

(B) 13

(C) $254,140.33

(D) $254,145.38

Step-by-step explanation:

(A) The value of the margin of error.

Using a 90% confidence level or 0.10 alpha level,

1 - alpha = 1 - 0.10 = 0.90

The degrees of freedom = n - 1 = 14 - 1 = 13

Using the t table, 0.90 under 13 is 1.350

Sample size divided by √n is equal to

14/√14 = 3.742

1.35 × 3.742 = 5.05

(B) 13 degrees of freedom

(C) To find the lower and upper limits, you find the mean value first and then subtract / add to half of the margin of error which is 5.05÷2 = 2.525

Adding the 14 values together, you have $3,558,000

Dividing by 14 to get the mean;

Mean = $254,142.8571

Lower Limit: $254,140.33

Upper Limit: $254,145.38

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3 years ago
A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negat
VladimirAG [237]

Answer:

The correct option is A)  {x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

Consider the provided diagram.

Here the left side represents the input (X) values and the right side represents the output (Y) values.

The domain refers to the set of possible input values.

Now consider the provided figure, the set of input value is:

{x | x = –5, –3, 1, 2, 6}

Hence, the correct option is A)  {x | x = –5, –3, 1, 2, 6}

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3 years ago
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Answer:

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2 years ago
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The volume of this storage container is 1,400 cubic inches. The length is 20 inches and the width is 14 inches.
Vitek1552 [10]

Answer:

<h2>A) Height is the missing measurment.</h2><h2 /><h2> B)  1,400= 20 × 14 × H</h2><h2 /><h2>C) 1400 ÷ H = 280</h2>

Step-by-step explanation:

A) Length × Width × Height

B) V is 1,400

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    W is 14

    H is unknown so use a variable

C) 20 × 14= 280.

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3 years ago
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11. In a sample of n=6, five individuals all have scores of X=10 and the sixth person has a score of x=16. What is the mean for
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Answer:

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Step-by-step explanation:

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