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3 years ago

Which combination of integers can be used to generate the Pythagorean triple (7, 24, 25)

Mathematics

2 answers:

amm18123 years ago

7 0

Answer:

Step-by-step explanation:

SVEN [57.7K]3 years ago

3 0

Answer:

X = 4, Y = 3 is the answer!

Step-by-step explanation:

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If the difference between a number and 21 is divided by2, the result is 4 times the number. What is the number

Ostrovityanka [42]

(n-21)/2=4n is the equation

First, divide what is in the parentheses by 2
0.5n-10.5=4n

Then, multiply the whole equation by 2 so we have all whole numbers
n-21=8n

Move N so that it is with 8n
7n=-21

Divide 21 by 7
n=-3

Solution: The number (n) is equal to -3

6 0

3 years ago

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz. An ornithologi

il63 [147K]

Answer:

The formula to generate 70% confidence interval is: $[\overline{x} - 0.013, \overline{x} + 0.013]$ , in which $\overline{x}$ is the sample mean.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.7}{2} = 0.15$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.15 = 0.85$ , so Z = 1.037.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that $\sigma = 0.04$ .

Sample of 10 birds:

This means that $n = 10$ .

The margin of error is of:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.037\frac{0.04}{\sqrt{10}}$

$M = 0.013$

The lower end of the interval is the sample mean of $\overline{x}$ subtracted by M.

The upper end of the interval is the sample mean of $\overline{x}$ added to M.

Then, the formula to generate 70% confidence interval is: $[\overline{x} - 0.013, \overline{x} + 0.013]$ , in which $\overline{x}$ is the sample mean.

8 0

3 years ago

X-4y=-21<br> 8y-x=45<br> Solve the system <br> (X,y)=

meriva

Answer:

$\displaystyle (3, 6)$

Step-by-step explanation:

{x -4y = −21

{8y - x = 45

_________

$\displaystyle \frac{4y}{4} = \frac{24}{4} \\ \\$

$\displaystyle y = 6$ [Plug this back into both equations above to get the x-coordinate of 3]; $\displaystyle 3 = x$

I am joyous to assist you anytime.

6 0

3 years ago

3. A musician uses water glasses to play music. The glasses contain 0.5 cup, and 1/3 cup 4/6 cup and 4/5 cupof water. To play th

AlladinOne [14]

9514 1404 393

Answer:

1/3, 0.5, 4/6, 4/5

Step-by-step explanation:

For the same numerator, the fraction with the larger denominator is the smaller fraction.

0.5 = 1/2

So, we have two fractions with numerators of 1, and two fractions with numerators of 4. The smaller fraction with a numerator of 4 has a numerator that is more than half the denominator, so its value is more than 1/2.

The least-to-greatest order is ...

1/3, 1/2, 4/6, 4/5

In the original number format, this is ...

1/3, 0.5, 4/6, 4/5

8 0

2 years ago

Which angles are remote interior angles? Triangle L M N. Angle L is 1, angle M is 2, angle N is 3. Side M N extends to form angl

Nuetrik [128]

Answer:

Angle L (1) and Angle M (2)

Step-by-step explanation:

Angle N is not a remote angle because it has an exterior angle, angle 4

6 0

2 years ago