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The question is missing parts. Here is the complete question.

Now that you've created your hypotheses, it's time to prove them. First look at the sum of two rational numbers. Let's say they are two rational numbers, x and y. Because they're rational, they can be written as a ratio of integers. Let [tex]x=\frac{a}{b}[/tex] and [tex]y=\frac{c}{d}[/tex], where a, b, c and d are integers and b and d do not equal 0. The process for finding the sum x + y in terms of a, b, c and d is shown in the figure below.

Based on the sum and using the closure property of integers, what conclusion can you make about the sum of two rational numbers? Explain your answer.

Answer: The sum of two rational numbers equals a rational number.

Step-by-step explanation: Rational number is defined as a number that can be made by dividing two integers.

Closure Property of Integers states the sum or subtraction of two integers always gives an integer.

Using the definition of rational and expanding the property, we can conclude that the sum of two rational numbers will result in a rational number, as demonstrated in the table below.

Answer:

heres your answer

Step-by-step explanation:

here you go miss.

Answer:

Store B

Step-by-step explanation:

If you divide 5 by 2, you get the unit price for Store A which is $2.50.

If you divide 8 by 4, you get the unit price for store B which is $2.00

Store B has a lower unit price than store A therefore Store B is offering the lower price per pineapple.

Answer: A

Step-by-step explanation:

because she's deducting 10 points every day the slope is constant so it has to be a linear equation

Answer:

I think the answer is 2.07

Answer:

3 pounds

Step-by-step explanation:

Find the unit rate by using the equation 50/5 = 10. That means you need 10 pounds of milk to make 1 pound of cheddar cheese. 10 x 3 = 30, so you need to do 1 x 3 = 3.

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Complete Question

Wild deer population weight has standard deviation of 50 lb. What is the probability of existence of a random sample (size 100) weight within ± 5 lb. of population mean weight?

Answer:

0.68269

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question:

Standard deviation = 50 lb.

Sample size = 100

The weight is within ± 5Ib

For +5 lb

Z =+ 5/50/ √100

Z = +5/50/10

Z = +5/5

Z = 1

Using the Z table to find the probability of the Z score.

P(Z = 1) = 0.84134

For - 5 lb

Z = - 5/50/ √100

Z = - 5/50/10

Z = - 5/5

Z = -1

Using the Z table to find the probability of the Z score.

P(Z = -1 ) = 0.15866

Hence,

P (-Z<x<Z)

P(Z = +1 ) - P(Z = -1)

0.84134 - 0.15866

= 0.68269

The probability of existence of a random sample (size 100) weight within ± 5 lb. of population mean weight is 0.68269

Answer:

Mean: 1.5

Standard Deviation: 0.9

Step-by-step explanation:

2/3 of the pages have diagrams, and N is the number of pages Harlee reads to reach a page with a diagram. In order to find the mean, divide 1/(2/3) to get 1.5 as your mean, and then divide sqrt(1-(2/3))/2/3 to get .8660, which rounds to .9.

Answer:

8.35

Step-by-step explanation:

To get absolute value, just make it the opposite

Answer: |-8.35| = 8.35

Step-by-step explanation: |-8.35| = 8.35

Answer:

4/9

Step-by-step explanation:

Answer:

3 beats per second

Step-by-step explanation:

45÷15

Cat’s heart will beat 3 times per second.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a cat’s heart beats approximately 45 times in 15 seconds. The number of times a Cat's heartbeat in a second will be calculated as:-

15 seconds = 45 beats

1 second  = 45 / 15

1 second = 3 beats

Therefore, Cat’s heart will beat 3 times per second.

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Answer:

A. m ≥ 59

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

it wouldn't change if it was to be rotated

Answer:

y=3x+4

Step-by-step explanation:

Hope this works

Answer:

the answer is 246

hope this helps

Answer:28 ≤ x ≤40

Step-by-step explanation:Arrange the data from the smallest to the largest

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Identify the median value

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Getting the median

(33+35)/2 = 68/2 = 34 minutes

You want your time to be last year's median time with an absolute deviation of at most 6 minutes

This mean ±6 minutes, hence this will be 34 ± 6

34+6=40 and 34-6=28

The inequality will be 28 ≤ x ≤40

Answer:

C.

Step-by-step explanation:

Answer:

y = 4x - 1

Step-by-step explanation:

Equation y = 4x - 1 matches the function described in the table.

Answer:

1. SSS

2.SSA

3.ASA

Step-by-step explanation:

For number one there is three congruent sides with the on in the middle

For number two there is two sides and one angle congruent

And number three has an embedded side between the two angles

Answer: a) 62.591 lb  b) 7.5

Step-by-step explanation:

Answer:

a) 62.625 lb

b) 8.35

Step-by-step explanation:

a) Use a proportion.

4 gal is to 33.4 lb as 7.5 gal is to x lb.

4/33.4 = 7.5/x

4x = 33.4 * 7.5

4x = 250.5

x = 62.625

Answer: 62.625 lb

b) 33.4/4 = 8.35

Tada!!!!!

Explanation:

We have 8 choices for the first slot, 7 for the second, and so on. We count our way down until we have 1 choice left for the eighth slot.

We'll get 8*7*6*5*4*3*2*1 = 40,320 different permutations.

You could use the nPr formula

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

with n = 8 and r = 8 to get the same result. The exclamation marks indicate factorials.

The 8 violinists can be seated in 40,320 ways.

A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.

Given In the orchestra, there are eight violinists in the front row,

the sitting arrangement of violinists is done with the help of permutation,

ⁿPₓ = n!/(n - x)!

here n = 8 and x = 8

(n - x)! = (8 - 8)!

(n - x)! = = 0! = 1

⁸P₈ = 8!/1

⁸P₈ = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1

⁸P₈ = 40,320

Hence they can be seated in 40,320 ways.

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Answer:

,$456 paid in her account after 6 year

Answer:

The value of the greatest integer is -38

Step-by-step explanation:

Let's make

x = the first even integer

x + 2, x + 4, x + 6 are the following even integers.

Recall even numbers are counted every other number.

The sum of all the numbers is -164:

x + x + 2 + x + 4 + x + 6 = -164

Simplifying:

4x + 12 = -164

Subtracting 12:

4x = -164 - 12 = -176

Dividing by 4:

x = -176 / 4 = -44

Thus, the greatest of them all is x + 6 = -44 + 6 = -38

The value of the greatest integer is -38

Answer: 125

Step-by-step explanation:

5^3=5*5*5=125

Answer:

125

Step-by-step explanation:

5^3 = 5 times 5 times 5

5 times 5 = 25

25 times 5 = 125

Answer:

The number of negative integers given determines the sign of the product.

Step-by-step explanation:

The sign of the product could either be negative or positive. This depends on the number of negatively directed integers in the given integers to be multiplied. Since all integers are directed numbers i.e either positive whole numbers or negative whole numbers.

Thus to know the sign of the product, if the number of negative integers is even, then the product would be positive. But if the number of negative integers is odd, the product would be negative.

Therefore, the number of negative integers given determines the sign of the product.

Answer:

one minutes and 12 seconds

Step-by-step explanation:

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