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Anit [1.1K]
2 years ago
7

Two dice are rolled. What is the probability of rolling a three on one and a four on the other? Express the answer as a reduced

fraction.
and please explain your answer.
​

Mathematics
1 answer:
Drupady [299]2 years ago
6 0

|\Omega|=6^2=36\\A=\{(3,4),(4,3)\}\\|A|=2\\\\P(A)=\dfrac{2}{36}=\dfrac{1}{18}

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We need helping solving for y.....3x-9y=24
Over [174]

3x-9y=24

-9y=-3x+24

y=-3/-9x-24/9

y=1/3x-8/3

8 0
3 years ago
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UGH these math problems tho please help!
Dovator [93]

Answer:

#6 would be 15/7

#7 would be 4/90

#8 would be 17/12

i can't see number 9

#11 would be 65/15 or 4.3333333


31 + 34

Step-by-step explanation:


7 0
3 years ago
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A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will
Karo-lina-s [1.5K]

Answer:

16 units.

Step-by-step explanation:

Just to make things easy, let's name the points A(3,9) B(5,9) C(3, 3) and D(5, 3).

Because this question wants perimeter, we'll just use the distance formula twice, then l*2 + w*2 = p.

Distance formula is sqrt((x1 - x2)^2 + (y1 - y2)^2) = d.

sqrt((5 - 3)^2 + (9 - 9)^2) = 2

sqrt((5 - 5)^2 + (9 - 3)^2) = 6.

The distance of points A and B is 2 units, and B to D is 6 units, multiply both by 2, (2*2=4, 6*2=12) and add the values to find 16 units.

Hope this helps, and if this is for OW, I feel your pain.

5 0
3 years ago
Prove that:
devlian [24]

Answer:

<u>Identities used:</u>

  • <em>1/cosθ = secθ</em>
  • <em>1/sinθ = cosecθ</em>
  • <em>sinθ/cosθ = tanθ</em>
  • <em>cosθ/sinθ = cotθ</em>
  • <em>sin²θ + cos²θ = 1</em>
<h3>Question 1 </h3>
  • (1 - sinθ)/(1 + sinθ) =        
  • (1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
  • (1 - sinθ)² / (1 - sin²θ) =
  • (1 - sinθ)² / cos²θ

<u>Square root of it is:</u>

  • (1 - sinθ)/ cosθ =
  • 1/cosθ - sinθ / cosθ =
  • secθ - tanθ
<h3>Question 2 </h3>

<u>The first part without root:</u>

  • (1 + cosθ) / (1 - cosθ) =
  • (1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ)
  • (1 + cosθ)² / (1 - cos²θ) =
  • (1 + cosθ)² / sin²θ

<u>Its square root is:</u>

  • (1 + cosθ) / sinθ =
  • 1/sinθ + cosθ/sinθ =
  • cosecθ + cotθ

<u>The second part without root:</u>

  • (1 - cosθ) / (1 + cosθ) =
  • (1 - cosθ)²/ (1 + cosθ)(1 - cosθ) =
  • (1 - cosθ)²/ (1 - cos²θ) =
  • (1 - cosθ)²/sin²θ

<u>Its square root is:</u>

  • (1 - cosθ) / sinθ =
  • 1/sinθ - cosθ / sinθ =
  • cosecθ - cotθ

<u>Sum of the results:</u>

  • cosecθ + cotθ + cosecθ - cotθ =
  • 2cosecθ
4 0
3 years ago
Read 2 more answers
Sam has purchased a $30,000 car for his business. The car depreciates 30% every year. What is the explicit formula for this sequ
Step2247 [10]
If your just figuring out how much the car depreciated just by driving off the lot new...1st year.
$30,000×.30=$9,000

$30,000- $9,000=$21,000.

just take the brand new value of the car multiplied by the .30% of the 1st depreciation...take that answer ($9,000) and subtract it from your orginal value of $31,000.

which gives you $21,000

8 0
3 years ago
Read 2 more answers
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