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marshall27 [118]
3 years ago
7

X + 2y -3z = 11 2x + y -2z =9 4x + 3y + z =16

Mathematics
1 answer:
MissTica3 years ago
8 0

Answer:

x=-11

y=-18

z=-12

I am pretty sure but don't quote me

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Convert 7.23 (3 reapting) to a fraction
Svetllana [295]

x=7.2\overline{3}\\\\10x=72.\overline{3}\\\\100x=723.\overline{3}\\\\100x-10x=723.\overline{3}-72.\overline{3}\\\\90x=651\\\\x=\dfrac{651}{90}=\dfrac{217}{30}

8 0
3 years ago
Determine if the events A and B are independent. Show all steps.
zmey [24]

<u><em></em></u>

Answer:

P(A U B )  = \frac{13}{25}

Step-by-step explanation:

<u><em>STEP:-1</em></u>

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

<u><em>STEP:- 2</em></u>

P(A ∩B ) = P(A) P(B)

P(A U B) = P(A) +P(B) - P(A n B )

P(A U B ) = P(A) +P(B) - P(A) P(B)

<u><em>Step(iii):-</em></u>

<u><em></em></u>P(A U B ) = \frac{2}{5}  +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{25}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{15-2}{25} = \frac{13}{25}<u><em></em></u>

<u><em /></u>

<u><em /></u>

4 0
3 years ago
5. A silo was constructed at a farm in the shape of a right circular cylinder. It was built with an
MakcuM [25]

Answer: 112 meters

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

  • Volume of a cylinder (V) : π x radius ² x height

Replacing with the values given :

842,411 = π x r ² x 85

Solving for r:

842,411 / (π x 85) = r²

3,154.67 = r²

√3,154.67 = r

56.16 m = r

Finally, we have to multiply the radius by 2 to obtain the diameter:

56.16 x 2 = 112 meters

Feel free to ask for more if needed or if you did not understand something  

8 0
3 years ago
The diameter of a circle is 9 cm. Find its area to the nearest tenth.
Alja [10]
<h2>63.6 cm</h2><h2 />

Cut diameter in half to find radius

9/2 = 4.5

radius = 4.5

This is the formula for area of a circle:

pi * radius^2

pi * 4.5^2

20.25pi

Now find pi:

20.25 * pi = 63.6

Answer:

63.6 cm is the area

3 0
3 years ago
Read 2 more answers
What is the coefficient of the term of degree 5 in the polynomial below? 3x6 + 5 - x2 + 4x5 - 9x A. 5 B. 4 C. 3 D. 6
liq [111]
4x^5 is a term of degree 5, and its coefficient is 4
6 0
4 years ago
Read 2 more answers
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