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allsm [11]
3 years ago
12

Each student receives one of 4 calculator models and one of 3 types of ruler. How many possible outcomes are there if a student

gets one ruler and one calculator?
Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer:

24 possible outcomes

Step-by-step explanation:

Combination has to do with selection. For example, if r object is selected from a pool of n objects, the number if possible ways can be expressed according to the combination formula:

nCr = n!/(n-r)!r!

Applying this in question, if each student receives one of 4 calculator models and one of 3 types of ruler, the number of ways this can be done is:

4C1 × 3C1

4C1 = 4!/(4-1)!1! {If a student gets one calculator)

4C1 = 4×3×2/3×2

4C1 = 4ways

3C1 = 3!/(3-2)!1! {If a student gets a ruler}

3C1 = 3×2/1

3C1 = 6ways

Total number of possible outcomes if a student gets one ruler and one calculator will be 4×6 = 24ways

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Answer:

x = 3

This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem.

Step-by-step explanation:

Let us assume that the triangle Δ ABC has vertices A(x,3), B(-3,-1) and C(-1,-4) and it is a right triangle.  

We have to determine x.

Applying the Pythagoras Theorem,

AB² + BC² = AC² {If AC is the hypotenuse of the right triangle}

⇒ [(x + 3)² + 4²] + [(- 2)² + 3²} = (x + 1)² + 7²

⇒ x² + 6x + 38 = x² + 2x + 50

⇒ 4x = 12

⇒ x = 3 (Answer)

This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem. (Answer)

5 0
4 years ago
What is (x^-2 y^10)^2/x^5 y^-3 using only positive exponents
Eddi Din [679]

Answer:

\frac{(x^{ - 2}{y}^{10})^{2}  }{ {x}^{5}  {y}^{ - 3} }  \\   \frac{ {x}^{ - 4}  {y}^{20} }{ {x}^{5}  {y}^{ - 3  } }  \\   {x}^{ - 9}  {y}^{23} \\  \frac{ {y}^{23} }{ {x}^{9} }  \\ ans \: c

8 0
2 years ago
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a differe
monitta

Options:

a. Nikki's proposed placement will light a greater area than Dylan's placement.

b.  Dylan's proposed placement will light a greater area than Nikki's placement.

c.  Both proposed placements will light the same sized area.

d. Nikki's proposed placement will light more than half the yard.

e. Dylan's proposed placement will light more than half the yard.

f.  Dylan's proposed placement will light exactly half of the yard.

g. Nikki's proposed placement will light less than half of the yard.

Answer:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Step-by-step explanation:

The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft

Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.

3 0
3 years ago
Write the following as an inequality 6 is greater than or equal to x and -2 is less than or equal to x
kipiarov [429]

Answer:

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Step-by-step explanation:

The first is ...

  6 ≥ x

and it can also be written as ...

  x ≤ 6

The second is

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The two inequalities can be combined into one compound inequality:

  -2 ≤ x ≤ 6

_____

<em>Comment on this answer</em>

I prefer the answer in this form because it puts the parts of the expression in the same order that they appear on a number line. It can also be written as ...

  6 ≥ x ≥ -2

7 0
4 years ago
I need help...........​
bogdanovich [222]
Hello,

The answer is C, refer to this picture for an explanation.
Have a great day!!
Brainliest??

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3 years ago
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