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stiks02 [169]
1 year ago
6

Puppets made by each puppeteer43ASCNumber of puppetsAsMYCol?0AlexKalinBruceMarcoMYPuppeteerProIf the mean of the data set is 3 p

uppets, find the number of puppets Marco made.ProTeapuppets

Mathematics
1 answer:
snow_tiger [21]1 year ago
5 0

Remember that we can get the mean of a dataset by adding up each datum and dividing such sum by the number of data.

Now, let's call the number of puppets Marco made M

This way, we would have that:

\frac{1+4+3+M}{4}=3

Solving for M :

\begin{gathered} \frac{1+4+3+M}{4}=3 \\  \\ \rightarrow\frac{8+M}{4}=3 \\  \\ \rightarrow8+M=12\rightarrow M=12-8 \\ \Rightarrow M=4 \end{gathered}

Therefore, we can conclude that Marco made 4 puppets.

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Elza [17]

Answer:

the answer is -3 because -++ in the high eat number so the -7 is the bigest

6 0
3 years ago
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What is the equation of the line in slope-intercept form?
GREYUIT [131]
Y=5/2x+5 because the slope is 5/2 and the y-intercept is 5
6 0
3 years ago
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
Aloiza [94]

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

8 0
3 years ago
Find x and y<br><br> helppppp !!
Anni [7]

3x + 6 = 48 (alternate angles are equal)

- 6

3x. = 42

÷3

x = 14 degrees

180-48 - 2y + 5y-9 =180

123 + 3y = 180

-123

3y = 57

÷3

y = 19 degrees

Explanation:

To find the last angle on the top straight line, do:

180 - (the 2 given angles).

So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.

(180 - 48 - 2y) & simplify => 132 - 2y

This gives you the equation for the missing angle on our top straight line.

Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.

Simplify

=> 123 + 3y (because - 2+5 =3)

and put it equal to 180. Solve for y

Hope this helps!

7 0
2 years ago
Please help!
natulia [17]

Answer: Option D.

Step-by-step explanation:

To solve this exercise you must keep on mind the Angle at the Center Theorem.

According to the  Angle at the Center Theorem, an inscribed angle is half of the central angle.

Therefore, given in the inscribed angle m∠BAC=35°, you can calculate the central angle m∠EFD as following:

BAC=\frac{EFD}{2}

- Solve for EFD.

EFD=2*BAC

- When you substitute values. you obtain:

EFD=2(35\°)\\EFD=70\°

7 0
3 years ago
Read 2 more answers
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