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3 years ago

For each pair of numbers, find a third whole number such that the three numbers form a pythagorean triple.

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

8 0

Answer:

1. 44; 2. 40, 3. 25

Step-by-step explanation:

The first one is just a 3,4,5 triangle scaled up by a factor of 11.

The second one is a 20,21,29 triangle, so the easiest way to find it would be to plug in the numbers (plugging in 58 as the hypotenuse works)

The last one is just a 5,12,13 triangle scaled up by a factor of 5.

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Peter attends 6 dance lessons each week all year long a year has 52 weeks peter missed 5 dance lessons while sick how many dance

viktelen [127]

6 lessons per week multiplied by the number of weeks in a year
6 x 52 = 312
total - 5 missed
312 - 5 = 307 dance lessons

5 0

3 years ago

Help for number 4 part a and part b

djyliett [7]

Part A: 7/10 because .7 represents 70/100 of a whole, or 7/10.

Part B: I think 1 and 89/100 because 89/100 represents that fraction

These are my answers, so I may be wrong.

Hope I helped, and good luck!

4 0

3 years ago

Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

9 are destroyed, which means that $n = 9$

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0

3 years ago

What is the volume of this prism?

HACTEHA [7]

Answer:

Step-by-step explanation:The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .

7 0

2 years ago

Read 2 more answers

What is the answer for 35 3/4 - 1/8

BabaBlast [244]

Steps:

1. since the least common multiple of 8 and 4 is 8, you would have to make both of the denominators 8.

2. 2 times 4 equals 8, 2 times 3 equals 6

3. 35 3/4 now becomes 35 6/8

4. your new problem is 35 6/8 - 1/8

5. 6 -1= 5

6. your answer is 35 5/8

4 0

3 years ago