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Brums [2.3K]
2 years ago
10

1. In a board game, students draw a number, do not replace it, and then draw a second number. Determine the probability of each

event occurring.
2 1 6 2
9 6 6 1

a. An odd number, then drawing a 6
b. A 2, then drawing another 2
c. A number divisible by 3, then drawing a 1 d. A 1, then drawing a 6
e. A prime number, then drawing a composite number
f. A 9, then drawing another 9
g. A 9, then drawing a number divisible by 1 h. An even number, then drawing 1 ​
Mathematics
1 answer:
serious [3.7K]2 years ago
4 0

Answer:

The probability of drawing a two and another 2 is 1/72.

Please Mark Brainliest If This Helped!

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wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc
Ksju [112]

d) You have a <u>difference of squares</u>:

49y² - 9 = (7y)² - 3²

Recall the identity,

a² - b² = (a - b) (a + b)

So,

49y² - 9 = (7y - 3) (7y + 3)

e) Pull out the common factor 3 from each term:

3x² - 3x - 90 = 3 (x² - x - 30)

Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so

3x² - 3x - 90 = 3 (x + 5) (x - 6)

f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so

x² - 13x + 42 = (x - 7) (x - 6)

8 0
2 years ago
Read 2 more answers
What is the answer to 36 times 3\9?
irinina [24]
36 x 3/9.
3/9 = 0.33
0.33 x 36 = 12
7 0
3 years ago
Read 2 more answers
You are asked to write exponential equations from word problems. Match each term from a word problem with the rate that you woul
Dima020 [189]

The matching is given below.

  • Doubling          ⇒ 2
  • Quadrupling    ⇒ 4
  • Tripling            ⇒ 3
  • Halving            ⇒ 1/2

<h3>What is an exponent?</h3>

Let a be the initial value and x be the power of the exponent function and b be the increasing factor. The exponent is given as

y = a(b)ˣ

You are asked to write exponential equations from word problems.

We know that factor 2 represents doubling, factor 4 represents quadrupling, factor 3 represents tripling, and factor 1/2 represents halving.

Then the matching is given below.

  • Doubling          ⇒ 2
  • Quadrupling    ⇒ 4
  • Tripling            ⇒ 3
  • Halving            ⇒ 1/2

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

5 0
1 year ago
Please help me with this question.​
Evgen [1.6K]

Answer:

\purple{ \boxed{\frac{d^{2} y}{dx ^{2} }   =    \frac{132}{ {x}^{13} } }}

Step-by-step explanation:

y =  \frac{1}{ {x}^{11} }  \\ y =  {x}^{ - 11}  \\  \frac{dy}{dx}  =  \frac{d}{dx}  {x}^{ - 11}  \\ \frac{dy}{dx}  =   - 11{x}^{ - 11 - 1}  \\ \frac{dy}{dx}  =   - 11{x}^{ - 12}  \\  \\  \frac{d}{dx}  \bigg(\frac{dy}{dx}  \bigg) =  \frac{d}{dx}  ( - 11 {x}^{ - 12} ) \\  \\ \frac{d^{2} y}{dx ^{2} }   =   - 11\frac{d}{dx}  ( {x}^{ - 12} ) \\  \\ \frac{d^{2} y}{dx ^{2} }   =   - 11(  - 12{x}^{ - 13} ) \\  \\ \frac{d^{2} y}{dx ^{2} }   =   132{x}^{ - 13} \\  \\  \huge \red{ \boxed{\frac{d^{2} y}{dx ^{2} }   =    \frac{132}{ {x}^{13} } }}

8 0
3 years ago
Clint wants to keep a young tree from blowing over during a high wind.he decides that he should tie a rope around the tree at a
liraira [26]
The rope tied to the tree will make a triangle.

The height of the triangle = 180cm
The base of the triangle = 200cm

to find how much rope you need, work out the hypotenuse using Pythagoras:

180^2 + 200^2 = 72400
√72400 = 269.0724809

This is the length of rope he needs, however you need to +30 as this is what he will need when he ties the rope:

269.0724809 + 30 = 299.0724809

299.0724809 is less than the 270cm of rope he has, so he would need more.

8 0
3 years ago
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