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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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Solve this steps not needed
777dan777 [17]

Hi!

When you add a negative number, you really just subtract it. So let's solve this.

Convert the mixed numbers into improper fractions.

\frac{434}{9} - \frac{351}{9}

Solve

434 - 351 = 83

\frac{83}{9}

The sign of this fraction is positive

Hope this helps! :)

-Peredhel

4 0
3 years ago
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What solid figure has 5 faces, 5 vertices, 8edges?
tekilochka [14]
Your answer is a Square Pyramid.

(Hope I helped :C

7 0
3 years ago
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A hospital uses cobalt-60 in its radiotherapy treatments for cancer patients. Cobalt-60 has a half-life of 7
NeTakaya

Answer:

We have 197 g of Co-60 after 18 months.

Step-by-step explanation:

We can use the decay equation.

M_{f}=M_{i}e^{-\lambda t}

Where:

  • M(f) and M(i) are the final and initial mass respectively
  • λ is the decay constant (ln(2)/t(1/2))
  • t(1/2) is the half-life of Co
  • t is the time at the final amount of m

M_{f}=228e^{-\frac{ln(2)}{7} 1.5}    

M_{f}=197\: g    

<u>Therefore, we have 197 g of Co-60 after 18 months.</u>

I hope it helps you!

4 0
3 years ago
General admission to the Fair is $10.00. Each ride costs $4.75. If Lisa has $75.00 to spend at the Fair, what method can be used
stira [4]

Answer:

subtraction

Step-by-step explanation:

:)

4 0
3 years ago
16 / 4 * (3 - 1)<br><br> a) 2<br> b) 4<br> c) 8
Luda [366]

Hello,

if :

\frac{16}{4(3 - 1)}  =  \frac{16}{4 \times 2}  =  \frac{16}{8}  = 2

if :

\frac{16}{4}  \times (3 - 1) = 4(3 - 1) = 4 \times 2 = 8

4 0
1 year ago
Read 2 more answers
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