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natulia [17]
3 years ago
9

What are the factor of these numbers,

Mathematics
1 answer:
KIM [24]3 years ago
6 0
8: 1,2,4,8
2x: 0
5ab : 5ab
12z: 5,2,1z
20xy: 2(10xy), 4(5xy)
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A spinner numbered 1 through 12 is spun. Find the probability that
anastassius [24]

Answer:

\dfrac{1}{6}

Step-by-step explanation:

Let <em>A</em> be the event of getting an odd number.

<em>P(A)</em> be the probability of getting an odd number.

Total odd numbers here are 6 i.e. \{1,3,5,7,9,11\}

Here, total numbers in the game are 12 i.e \{1,2,3,....,12\}.

Formula for probability of an <em>event E</em> can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}

Let <em>B</em> be the event of getting 11.

<em>P(B)</em> be the probability of getting 11.

Total number of possible cases is 1.

P(B) = \dfrac{1}{12}

P(A \cap B) is the probability that we get 11 and an odd number.

Possible number of cases = 1

P(A\cap B) = \dfrac{1}{12}

<em>P(B/A)</em> is the probability that we get an 11 given that it is an odd number.

P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}

Hence, P(B/A) = \dfrac{1}{6}

4 0
3 years ago
Read 2 more answers
Rewrite the function by completing the square. h(x)= x^{2} +3 x -18 left parenthesis, x, right parenthesis, equals, x, squared,
ludmilkaskok [199]

Answer:

  h(x) = (x +1.5)^2 -20.25

Step-by-step explanation:

We assume you want to rearrange h(x)= x^2 +3x -18.

Recognize the coefficient of x is 3. Add and subtract the square of half that. (3/2)^2 = 9/4 = 2.25

  h(x) = (x^2 +3x +2.25) -18 -2.25

Now, write the expression in parentheses as a square, simplify the constant.

  h(x) = (x +1.5)^2 -20.25 . . . . . . . . vertex form

4 0
3 years ago
to support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. t
Leokris [45]
Choice given:
<span>33.6°
39.8°
50.2°
56.4°

I drew the figure. 
I got 12 ft as the hypotenuse, 10 ft as the opposite.

Sin</span>Θ = opposite / hypotenuse 
SinΘ = 10/12
SinΘ = 0.83

I used the calculator to get the value of each angle using the sine function
sin(33.6°) = 0.55
sin(39.8°) = 0.64
sin(50.2°) = 0.77
sin(56.4°) = 0.83

The angle where the wire meets the ground is approximately 56.4°
8 0
3 years ago
Read 2 more answers
Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to
Soloha48 [4]

Answer:

B

Step-by-step explanation:

essentially the plan that increases the price the most per week reaches the goal of $12 fastest.

plan A is $0.10 per week.

plan B it is not clear, if it means 10% of the original price every week, or every week 10% of the price of the previous week. I assume the first and simplest.

that means 10% of $8 = $0.80 per week.

plan C : the same amount every week until reaching $12. we need to increase in total by $4 (from $8 to $12). to reach these $4 in 8 weeks, we need to increase the price every week by 4/8 = $0.50.

plan D : $0.25 per week.

so, the plan with the highest increase every week and therefore the fastest one reaching $12 is plan B.

8 0
2 years ago
If 2 + 2 = 4 then what does 2 + 3 make?
Goryan [66]
If two plus two is four therefore two plus three is in fact five.
5 0
3 years ago
Read 2 more answers
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