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elena55 [62]
4 years ago
5

There are 348 identical plastic chips numbered 1 through 348 in a box. What is the probability of reaching into the box and rand

omly drawing a chip number that is smaller than 213
Mathematics
1 answer:
hoa [83]4 years ago
4 0
<h2>P(E) = \dfrac{53}{87} or, 0.6092</h2>

Step-by-step explanation:

Given,

There are 348 identical plastic chips numbered 1 through 348 in a box.

To find, the probability of reaching into the box and randomly drawing a chip number which is smaller than 213 = ?

Total number of possible outcomes = 348

Let E be the event of getting randomly drawing a chip number that is smaller than 213.

Favourable outcomes are:

1, 2, 3, .............., 212

Number of favourable outcomes = 212

∴ Probability =

P(E) =

= \dfrac{53}{87} or, 0.6092

Thus, P(E) = \dfrac{53}{87} or, 0.6092

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$15.40

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6 0
3 years ago
Point Q is on line segment PR. Given QR= 2x + 4, PQ = x, and
34kurt

Answer:

Step-by-step explanation:

Point P is on line segment

O

Q

‾

OQ

​

. Given

O

P

=

6

,

OP=6,

O

Q

=

4

x

−

3

,

OQ=4x−3, and

P

Q

=

3

x

,

PQ=3x, determine the numerical length of

O

Q

‾

.

OQ

​

.

Label known information:

Label known information:

O

P

Q

6

3x

OQ = 4x – 3

O

P

+

P

Q

=

OP+PQ=

 

 

O

Q

OQ

6

+

3

x

=

6+3x=

 

 

4

x

−

3

4x−3

−

4

x

−4x=

 

 

−

4

x

−4x

−

x

+

6

=

−x+6=

 

 

−

3

−3

−

6

−6=

 

 

−

6

−6

−

x

=

−x=

 

 

−

9

−9

−

x

−

1

=

−1

−x

​

=

 

 

−

9

−

1

−1

−9

​

x

=

x=

 

 

9

9

Plug in value of

x

to find

O

Q

:

Plug in value of x to find OQ:

O

Q

=

4

x

−

3

=

4

(

9

)

−

3

=

33

OQ=4x−3=4(9)−3=33

You can plug

x

into each expression:

You can plug x into each expression:

O

P

Q

6

3(9)

OQ = 4(9) – 3

Simplify:

Simplify:

O

P

Q

6

27

OQ = 33

Final Answer:

Final Answer:

O

Q

=

33

OQ=33

8 0
3 years ago
Choose the correct standard form of the number.
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3 years ago
Can somebody help me with this question? please and thank you
Svetllana [295]

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3 years ago
Use implicit differentiation to find the points where the circle defined by x^2+y^2−6x−4y=-4 has horizontal and vertical tangent
Inga [223]
Implicit differentiation: 2x+2ydy/dx-6-4dy/dx=0. When dy/dx=0, we have a horizontal tangent.
So 2x-6=0 and x=3. To find y we solve 9+y²-18-4y=-4, y²-4y-5=0=(y-5)(y+1), so the points are (3,5) and (3,-1).
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8 0
4 years ago
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