Determine if triangle XYZ with coordinates X(1, 1), Y(5, 6), and Z(6, 2) is a right triangle.

Answers

Answer 1

Answer:

Answer:

Yes.

Step-by-step explanation:

If you graph it you can see that they all the points match up to the perfect right triangle. You may have to rotate it to see it though. Point Z is the angle of the triangle that is the corner of the 90 degree triangle.

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Which expression is equivalent to 3sqt 216x^3y^6z^126xy^2z^4
18xy^3z^6
36xy^2z^4
72xy^3z^6

Answers

Answer:

Option 1

$\sqrt[3]{216x^3y^6z^(12)}=6xy^2z^4$

Step-by-step explanation:

Given : Expression $\sqrt[3]{216x^3y^6z^(12)}$

To find : Which expression is equivalent to given expression?

Solution :

The given expression is

$\sqrt[3]{216x^3y^6z^(12)}$

We can write it as,

$=(216x^3y^6z^(12))^{(1)/(3)}$

Applying power rule, $(x^a)^b=x^(a* b)$

$=(216)^(1)/(3)(x^3)^(1)/(3)(y^6)^(1)/(3)(z^(12))^{(1)/(3)}$

$=(6^3)^(1)/(3)(x^3)^(1)/(3)(y^6)^(1)/(3)(z^(12))^{(1)/(3)}$

$=6xy^2z^4$

Therefore, Option 1 is correct.

$\sqrt[3]{216x^3y^6z^(12)}=6xy^2z^4$

The equivalent expression of $\sqrt[3]{216x^3y^6z^(12)}$ is $6xy^2z^4$

PLZZZ HELP WILL MARK BRAINLIEST What is the simplified value of the expression below?4.5-59
0.2x3-02
A) -3.5
B) -2.4
C)2.4
D)3.5

Answers

Answer:

-3.5

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Question 3 (Multiple Choice Worth 5 points)(08.01)Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?

25

85

150

128



Question 4 (Multiple Choice Worth 5 points)

(08.01)Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?

No, this is not a valid inference because he asked only 20 families

No, this is not a valid inference because he did not take a random sample of the neighborhood

Yes, this is a valid inference because he took a random sample of the neighborhood

Yes, this is a valid inference because the 20 families speak for the whole neighborhood

Answers

A)The number of students in the seventh grade who would be expected to prefer math to science are: 128

B) The true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

What is sample?

A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.

A) Given that, the total number of students in seventh grade are: 150 students.

Now he took a sample of 25 students and find that the 85% of the sample prefers math to science.

This means that out of the sample the number of students who prefer math to science is:

= 85 / 100 x 25

= 21.25

Now, out of the total seventh graders the number of students who prefer math to science is:

21.25 x 150 / 25 = 127.5 ≈ 128

B) From the question, we understand that:

Mark draws a random sample of 20 addresses from all 80 of the neighborhood addresses.

The above selection is a random sampling technique

Therefore, the true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood

Learn more about samples, click;

brainly.com/question/13287171

#SPJ3

Part 1 : Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?

Option 1 : 25

Option 2 : 85

Option 3 :150

Option 4 :128

Solutions - Convert the percent into decimal and multiply.

85% of 150 = 0.85 * 150

= 127.5 which is rounded to 128

Part 2 : Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?

No, this is not a valid inference because he asked only 20 families

No, this is not a valid inference because he did not take a random sample of the neighborhood

Yes, this is a valid inference because he took a random sample of the neighborhood

Yes, this is a valid inference because the 20 families speak for the whole neighborhood

Solutions : Plans to attend doesn't mean they would come. It is a 50/50 chance. 2/8 * 100% is 25%.

Answer = (C) = Yes, this is a valid inference because he took a random sample of the neighborhood

What is the sum of:
5 (-15) =

Answers

Answer:

20 i think:))))))))))))

A card is chosen from a standard deck of cards. What is the probability that the card is a king, given that the card is black ? A. 1/26 B. 1/13 C. 1/2 D.2/13 And I have another question. A drawer contains 12 brown socks, 8 white socks, and 2 blue socks. One sock is selected at random. What is the probability that the sock is blue, given that it is NOT brown? A. 1/4 B. 1/5 C. 1/10 D. 1/11. Thank you sorry i'm a noob at this.

Answers

EVERY probability question uses this formula.
You should memorize it.

Probability =
   (number of ways it can happen the way you want it)
   divided by
   (total number of ways it can happen).

When a card is chosen from a standard deck of cards, it can turn out
in 52 different total ways.
If you're looking for a black king, there are 2 of those.
So the probability is

2 / 52 = 1 / 26 = about 3.85%

===============================

In the sock drawer . . .

-- There are 22 socks altogether.

-- What is the total number of ways you can draw a single sock ?
Normally it would be 22. But the question says the one you draw is
definitely NOT brown. So you can just toss the brown socks out of
the question entirely. You're actually working with the total number
of ways you can draw one sock that is not brown. There are 10 of those.

-- 2 of them are blue.

-- So the probability is . . .

   2 / 10 = 1 / 5 = 20% .

There are 26 black cards in a deck of cards.

There is a King Of Clubs and a King of Spades.

So, given that the card is black, the chances of it being a King is:

2/26 which is 1/13.

This can be proven:

P(Card Is Black (B)) = 26/52

P(Card Is King (K)) = 4/52

P(Card Is King And Black) = 2/52

$P\left( K|B \right) =\frac { P\left( K\cap B \right) }{ P\left( B \right) } \n \n =\frac { \frac { 2 }{ 52 } }{ \frac { 26 }{ 52 } } \n \n =\frac { 2 }{ 52 } * \frac { 52 }{ 26 } \n \n =\frac { 2 }{ 26 } \n \n =\frac { 1 }{ 13 }$

----------

Using Bayes' theorem and:

P(Brown Sock (B)) = 12/22

P(White Sock (W)) = 8/22

P(Blue Sock (L)) = 2/22

P(Not Brown Sock (N)) = 10/22

Had to use this to make sure I got the right answer. Second question was a tad confusing.

$P\left( L|N \right) =\frac { P\left( L \right) * P\left( N|L \right) }{ P\left( N \right) } \n \n =\frac { \frac { 2 }{ 22 } * 1 }{ \frac { 10 }{ 22 } } \n \n =\frac { 2 }{ 22 } * \frac { 22 }{ 10 } \n \n =\frac { 2 }{ 10 } \n \n =\frac { 1 }{ 5 }$

What is the value of x? Round your answer to the nearest tenth if necessary.14.3

Right triangle whose two legs measure fourteen and x, and whose hypotenuse measures twenty

Answers

By the Pythagorean Theorem, x^2+14^2=20^2, so x^2+196=400, so x^2=204. Then, x=sqrt(204)~=14.3.

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