All categories

3 years ago

A triangle has side lengths of 17, 19 and 25. Is this a right triangle?

Mathematics

1 answer:

Dominik [7]3 years ago

6 0

Answer:

shorter side squared + shorter side squared = longer side squared if it is a right triangle

17x17=289+(19x19)

289+361=650

25x25=625

650>625 so it is not a right triangle

Hope this helps. If you have any questions you can ask

Step-by-step explanation:

You might be interested in

11x -20y=28 3x+4y =36

jekas [21]

Answer: X is equal to 8 and Y is equal to 3

8 0

3 years ago

Read 2 more answers

Express x2+ 4x - 7 in the form (x + a) - b where a and b are integers.<br> please help 100 points

Darya [45]

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

4 0

3 years ago

One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average

Mandarinka [93]

Answer:

a) $72-1.52\frac{10}{\sqrt{150}}=70.76$

$72+1.52\frac{10}{\sqrt{150}}=73.24$

So on this case the 87% confidence interval would be given by (70.76;73.24)

b) $ME= \frac{75-69}{2}= 3$

And the margin of error is given by:

$ME=t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we can solve for the critical value $t_{\alpha/2}$

And we got:

$t_{\alpha/2}= \frac{ME*\sqrt{n}}{s}= \frac{3* \sqrt{150}}{10}= 3.674$

And we can find the significance level with this formula:

"=2*T.DIST(-3.674;149;TRUE)"

And the confidence level would be 1-0.000332= 0.999668

And then that correspond to 99.96%

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=72$ represent the sample mean

$\mu$ population mean (variable of interest)

$s=10$ represent the sample standard deviation

n=150 represent the sample size

87% confidence interval

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df = 150-1=149$

Since the Confidence is 0.87 or 87%, the value of $\alpha=0.13$ and $\alpha/2 =0.065$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.065,149)".And we see that $z_{\alpha/2}=1.52$

Now we have everything in order to replace into formula (1):

$72-1.52\frac{10}{\sqrt{150}}=70.76$

$72+1.52\frac{10}{\sqrt{150}}=73.24$

So on this case the 87% confidence interval would be given by (70.76;73.24)

Part b

For this case the confidence interval is given by: (69,75)

We can estimate the margin of error like this:

$ME= \frac{75-69}{2}= 3$

And the margin of error is given by:

$ME=t_{\alpha/2}\frac{s}{\sqrt{n}}$

And replacing we can solve for the critical value $t_{\alpha/2}$

And we got:

$t_{\alpha/2}= \frac{ME*\sqrt{n}}{s}= \frac{3* \sqrt{150}}{10}= 3.674$

And we can find the significance level with this formula:

"=2*T.DIST(-3.674;149;TRUE)"

And the confidence level would be 1-0.000332= 0.999668

And then that correspond to 99.96%

3 0

3 years ago

For each pair of figures below, choose how they are related.

svet-max [94.6K]

Answer c ! Just believe me ik it right

6 0

3 years ago

What is the equation of the line that is perpendicular two and has the same y-intercept as the line with (0,1) and (5,0)

Archy [21]

Answer:

its all about reletives so if u take the number then multiply by five u get 56.3

Step-by-step explanation:

u know

7 0

2 years ago