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3 years ago

Help Fast Please!!!!!!!!! How can you tell if three positive numbers form a Pythagorean triple?

Mathematics

1 answer:

Fiesta28 [93]3 years ago

3 0

Answer/Step-by-step explanation:

Square all three numbers. If the largest number squared is equal to the sum of the squares of the other two, then the numbers form a Pythagorean triple.

or

Since a Pythagorean triple is three positive integers a, b, and c such that (a^2)+(b^2)=(c^2), first take the sum of the squares of the two legs and make an estimate. For example, 3, 4, and 5 is a Pythagorean triple since 9+16=25

either one works

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A survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10. (a)

skad [1K]

Answer:

a) The 95% of confidence intervals for the average spending

(23.872 , 32.128)

b) The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.

The null hypothesis is accepted

A survey of 25 young professionals statistically that the population mean is less than $30

Step-by-step explanation:

Step:-(i)

Given data a survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10

The sample size 'n' = 25

The mean of the sample x⁻ = $28

The standard deviation of the sample (S) = $10.

Level of significance ∝=0.05

The degrees of freedom γ =n-1 =25-1=24

tabulated value t₀.₀₅ = 2.064

Step 2:-

The 95% of confidence intervals for the average spending

( $(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )$

$(28 - 2.064 \frac{10}{\sqrt{25} } ,28 + 2.064\frac{10}{\sqrt{25} } )$

( 28 - 4.128 , 28 + 4.128)

(23.872 , 32.128)

a) The 95% of confidence intervals for the average spending

(23.872 , 32.128)

Null hypothesis: H₀:μ<30

Alternative Hypothesis: H₁: μ>30

level of significance ∝ = 0.05

The test statistic

$t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$

$t = \frac{28-30 }{\frac{10}{\sqrt{25} } }$

t = |-1|

The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.

The null hypothesis is accepted

Conclusion:-

The null hypothesis is accepted

A survey of 25 young professionals statistically that the population mean is less than $30

8 0

3 years ago

The graph of 6x + 4y = -2 is shown on the grid. Which ordered pair is in the solution set of 6x + 4y = -2? es -) A) (2,3) B) (3,

otez555 [7]

Answer:

Step-by-step explanation:

Using slope-intercept form, the slope is 3/2.

3 0

3 years ago

An ANOVA procedure is applied to data obtained from four distinct populations. The samples, each comprised of 15 observations, w

otez555 [7]

Answer:

a. 3 and 56, respectively.

Step-by-step explanation:

The computation of the degrees of freedom for the numerator and denominator for the critical value of F is given below:

k = 4

n = 15

Total degree of freedom is

= nk - 1

= 59

For numerator, it is

= k -1

= 4 - 1

= 3

and for denominator it is

= T - (k -1 )

= 59 - 3

= 56

3 0

3 years ago

15 boys and 16 girls took part in the basketball competition. What is the ratio of the number of girls to the number of boys who

aleksandr82 [10.1K]

Answer:

The ratio of girls to boys is 16:15

Step-by-step explanation:

To find this, we simply start by using the words.

Girls:Boys

Now we plug in the values.

16:15

3 0

3 years ago

Factor completely: 3a^2 + 5a − 12

jarptica [38.1K]

Your answer would be the second option, (3a - 4)(a + 3).

We can see that this is the correct answer as if we expand it using FOIL, we get 3a² + 5a - 12:

(3a × a) + (3a × 3) + (-4 × a) + (-4 × 3) = 3a² + 9a - 4a - 12
= 3a² + 5a - 12.

I hope this helps!

4 0

3 years ago