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3 years ago

A triangle has sides with lengths of 3 yards, 4 yards, and 5 yards. Is it a right triangle?

Mathematics

2 answers:

yulyashka [42]3 years ago

7 0

Answer:

It is a right triangle

Step-by-step explanation:

Depending on how you make the triangle if 3 is A 4 is B and 5 is C then the Pythagorean Theorm would be correct and it would be a right triangle.

SpyIntel [72]3 years ago

3 0

Answer:

A triangle has sides with lengths of 6 inches, 8 inches, and 10 inches. Is it a right triangle?

Step-by-step explanation:

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A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?

kolezko [41]

Step 2 how did the 8 get there?

6 0

3 years ago

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$

$n(1-p)=600*(1-0.4)=360 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=600*0.4=240$

$\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12$

And then $X \sim N (\mu = 240, \sigma= 12)$

And we are interested on the following probability:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

6 0

3 years ago

If you vertically shift the linear parent function, f(x)=x up four units , what is the equation of the new function

OverLord2011 [107]

Shifting in the y direction is as simple as adding the shift, ie.,

f(x) = x+4.

In the x direction it is trickier because then you have to replace x by (x-a) where a is the shift to the right... (but that wasn't asked here).

8 0

3 years ago

Read 2 more answers

Let U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50} A = {5, 10, 15, 20, 25} B = {25, 30, 35, 40, 45} C = {10, 20, 30, 40, 50} Find A

Dima020 [189]

Answer:

A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}

Step-by-step explanation:

A = {5, 10, 15, 20, 25}

B = {25, 30, 35, 40, 45}

Find A∪B

There are 5 elements in set A

There are 5 elements in set B

A∪B is the combination of all the elements in set A and set B without repeating any

A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}

A∪B has 9 elements in it

A ⋂ B = {25}

6 0

3 years ago

Please help guys much love

lord [1]

Step-by-step explanation:

1) Ans 3

2) Ans 6

3) Ans 4

4) Ans 1/5

5) Ans 1/23

4 0

2 years ago