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2 years ago

Which of the following sets of numbers could not represent the three sides of a triangle?

Mathematics

2 answers:

laiz [17]2 years ago

8 0

Answer:

(15, 26, 42)

Step-by-step explanation:

Sides of a triangle rule: the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

(8, 1, 18)

8 + 11 = 19 > 18

11 + 18 = 29 > 8

8 + 18 = 26 > 11

Therefore, this is a triangle

(6, 9, 12)

6 + 9 = 15 > 12

6 + 12 = 18 > 9

9 + 12 = 21 > 6

Therefore, this is a triangle

(15, 26, 42)

15 + 26 = 41 < 42

15 + 42 = 57 > 26

26 + 42 = 68 > 15

Therefore, this is NOT a triangle

(13, 19, 31)

13 + 19 = 32 > 31

13 + 31 = 44 > 19

19 + 31 = 50 > 13

Therefore, this is a triangle

ahrayia [7]2 years ago

6 0

The rule is

Sum of any two sides>Third side

Check third option

(15,26,42)

$\\ \rm\bull\rightarrowtail 15+26=41$

Option C is correct

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The average score for all basketball players in a particular season has a mean of 75 and a standard deviation of 3.5. Suppose 49

LiRa [457]

Answer:

0.0228

Step-by-step explanation:

Given that:

mean (μ) = 75, Standard deviation (σ) = 3.5

The z score is a score used in statistics to measure by how many standard deviations the raw score is above or below the mean. If the z score is positive, it means that the raw sore is above the mean and if the z score is negative then the raw score is below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma}\\ \\For\ a\ sample \ n, the\ z\ score\ is:\\ \\z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }$

For x > 76 and a sample (n) = 49:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }\\\\z=\frac{76-75}{\frac{3.5}{\sqrt{49} } }=2$

From the normal distribution table, the probability that the average score of the 49 players exceeded 76 = P(x > 76) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228

6 0

3 years ago

The radius of an iron atom has been calculated to be about 0.00000000014 m. What is this length in scientific notation?

navik [9.2K]

Answer:

$1.4 * 10^{-10}$

Step-by-step explanation:

1.4 is 10 decimal places away from 0.00000000014

3 0

3 years ago

Read 2 more answers

This is very hard for me

Rainbow [258]

Answer:sorry Im lazy XD but try method down below

Step-by-step explanation:

Try this.

The order or operations which is

1 Parentheses

2 Exponents

3 Multiplication

4 Division

5 Addition

6 Subtraction

Should help find answer. Good luck!

7 0

1 year ago

Read 2 more answers

Adult and student tickets were sold for a school concert. The adult tickets cost $12 each, and the student tickets cost $8 each.

vodka [1.7K]

Answer: the number of adult tickets sold is 150

the number of student tickets sold is 210

Step-by-step explanation:

Let x represent the number of adult tickets sold.

Let y represent the number of student tickets sold.

The adult tickets cost $12 each, and the student tickets cost $8 each. The total cost of tickets sold $3,480. This means that

12x + 8y = 3480 - - - - - - - - - -1

The total number of tickets sold is 360. This means that

x + y = 360 - - - - - - - - - -2

Multiplying equation 1 by 1 and equation 2 by 12, it becomes

12x + 8y = 3480

12x + 12y = 4320

Subtracting

-4y = -840

y = -840/-4 = 210

Substituting y = 210 into equation 2, it becomes

x = 360 - y = 360 - 210

x = 150

5 0

4 years ago

Pedro fills a glass 2/4 full with orange juice.write a fraction with a denominator of 6 than is greater than 2/4

Soloha48 [4]

The answer for a denominator with 6 will be $\frac{3}{6}$

4 0

4 years ago