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professor190 [17]
3 years ago
9

Addison has a bag of 25 colored pens. There are 9 blue, 5 red, 7 black, and 4 green. Addison will pick a pen from the bag, witho

ut looking, record the color and put it back in the bag. If Addison does this 200 times, about how many time scan she expects to pick a blue pen?
show all work,

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
7 0

Answer:

C

Step-by-step explanation:

There are 9 blue, 5 red, 7 black, and 4 green pens, 25 colored pens in total.

Use the definition of probability:

P=\dfrac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}

Find the probability to choose blue pen:

Number of all favorable outcomes = 9

Number of all possible outcomes = 25

P(\text{Blue pen})=\dfrac{9}{25}=0.36

Hence, Addison can expect to pick a blue pen

200\cdot 0.36=72 times

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Help me with b and c pls, i did a
Tresset [83]
B) Minimum= 1
    Q1= 3
    Q3= 8
    Lower Fence= Q1-(IQR*1.5)
                         =   3-(5*1.5)
                         = -4.5
     Maximum= 11
     Median= 7 
     IQR= 8= 3= 5
     Upper Fence= Q3+(IQR*1.5) 
                          = 8+(5*1.5)
                          = 15.5
c) No. All values are between the lower fence and the upper fence.
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3 years ago
System of equations ( substitution methods) can someone solve these problems x=3y-5 ; x+y=3 y=x ; 3x+3y=18 y=3x+4 ; 5x-y=0
Tasya [4]

Answer:

(1,2)

(3,3)

(-1/2, 11/2)

Step-by-step explanation:

A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.

<u>Pair x=3y-5 and x+y=3</u>

Because x=3y-5, we can substitute 3y-5 into x in x+y=3

x+y=3

(3y-5)+y=3

3y-5+y=3

4y-5=3

4y-5+5=3+5

4y=8

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We now substitute y=2 into x=3y-5.

x=3y-5

x=3(2)-5

x=6-5

x=1

<u>Pair y=x and 3x+3y=18</u>

Because y=x, we can substitute x into y in 3x+3y=18

3x+3y=18

3x+3x=18

6x=18

x=3

We now substitute x=3 into y=x.

y=3.

<u>Pair y=-3x+4 and 5x-y=0</u>

Because y=-3x+4, we can substitute -3x+4 into y in 5x-y=0

5x-y=0

5x-(-3x+4)=0

5x+3x+4=0

8x+4=0

8x=-4

x=-1/2

We now substitute x=-1/2 into y=-3x+4

y=-3x+4

y=-3(-1/2)+4

y=3/2+4

y=11/2


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