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tekilochka [14]
3 years ago
11

A. how many numbers must be selected from the set1, 3, 5, 7, 9, 11, 13, 15 to guarantee that at least one pair of these numbers

add up to 16?
Mathematics
2 answers:
VMariaS [17]3 years ago
8 0

We have been given a data set 1, 3, 5, 7, 9, 11, 13, 15 and we are asked how many numbers must be selected from the set to guarantee that at least one pair of these numbers add up to 16.

Now let us find such numbers from the data set who add up to 16. These numbers are (15,1), (7,9), (13,3) and (11,5).

We can see that 15 and 1 add up to 16, but we can not say that if we choose 2 numbers from our data they will add up to 16. Because if we choose last two numbers or starting two numbers of our given data set it will be false.

If we choose 3 numbers from our data it is not certain that at least one pair add up to 16. So is the case with choosing four numbers.

Now we have to choose such numbers which will certainly add up to 16.

We can see if we choose 5 numbers from our data at least one pair will add up to 16. Either these are initial 5 numbers from our data set or last 5 numbers of our data set.

Therefore, we can guarantee that if we choose 5 numbers from our data set at least one pair will add up to 16.

ki77a [65]3 years ago
4 0
Asked and answered elsewhere.
brainly.com/question/9518737
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3 years ago
A book designer decided that the pages of a book should have 1-in. margins at the top and bottom and 1 2 in. margins on the side
alexgriva [62]

Answer:

A = 54.8 - (1200/x) - 2x

Step-by-step explanation:

Given <em>x</em> the wide and <em>y</em> the height, we have

x*y = 50

⇒  y = 50/x

The area of the printed region is A = w*h

where

Wide: w = (x-2*1.2) = x-2.4

Height: h= (y-2*1) = y-2

then

A = (x-2.4)(y-2) = xy - 2.4y - 2x + 4.8 = 50 - 24*(50/x) - 2x + 4.8

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5 0
3 years ago
Is 95,590,956 divisible by 9
Ad libitum [116K]

Answer:

10621217.333

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
13.
Artist 52 [7]

Answer:

5 units

Step-by-step explanation:

An isosceles triangle is a triangle with two legs that have the same length. The perimeter of a triangle is the sum of the lengths of all sides of the triangle. Now taking this into account, we know that:

2L + B = 14 units

Where:

L is the measure of one leg

B is the measure of the base

Since two legs are the same and the base is 1 less, this means the measure of each leg would be:

B = L -1

Now we have two equations:

2L + B = 14 units

B = L- 1

We plug one equation into the other and make 1 equation:

2L + (L-1) = 14 units

Get rid of the parentheses:

2L + L - 1 = 14

Combine like terms:

3L - 1 = 14

Add 1 to both sides of the equation:

3L - 1 + 1 = 14 + 1

3L = 15

Divide both sides by 3:

3L/3 = 15/3

L = 5

So the length of a leg is 5 units

Let's check!

B = L - 1

B = 5 - 1

B = 4

Then we use that to solve for the perimeter:

2L + B

2(5) + 4

10 + 4 = 14

7 0
3 years ago
F(-2)=15, F(1)=9 can someone help me please
pogonyaev

Answer:

y= -2x +11

Step-by-step explanation:

the 2 points: (-2,15) and (1,9)

find the slope: 6/ -3 = -2

find y-intercept: 9 = -2 + b       b=11

4 0
3 years ago
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