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netineya [11]
1 year ago
5

You roll a colored cube with one white side, two red sides, and three blue sides. What is the expected number of red sides you w

ill roll out of every 6 on average over time?
a. 2
b. 4
c. 6
d. 12
Please help asap!!
Mathematics
2 answers:
Anastasy [175]1 year ago
5 0

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

Number of white side = 1

Number of red side = 2

Number of blue side = 3

Total number of sides of a coloured cube = 6

Probability of getting red side on a cube is given by

\dfrac{2}{6}

so, there is 2 expected number of red sides out of every 6 on average over time.

Hence, Option 'a' is correct.

miskamm [114]1 year ago
3 0

Hello!

This is an example of theoretical probability. If you rolled the die 1,000 times, you would probably roll red about 333 times. On average, this is 1/3, and with a die it is 2/6. As you can see, it will be rolled 2/6 of the time on average, so our answer is A) 2.

I hope this helps!

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erica is making necklaces and bracelets to se at the craft show. it takes her 3 hours to make a necklace and 2 hours to make a b
bagirrra123 [75]

Answer:

Erica should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

Step-by-step explanation:

Let the number of necklaces made =  x

Let the number of bracelets made by Erica  = y

Now, the time taken to make each necklace = 3 hrs

⇒The time taken to make x necklaces = x  times 3 hours  = 3x

Also, the time taken to make each bracelet = 2 hrs

⇒The time taken to make y necklaces = y  times 2 hours  = 2y

So, total time taken to make x necklace and y bracelets =  3x + 2y

Now selling cost of 1 necklace = $18

Also, selling cost of 1 bracelet = $15

So, total selling price of x necklace and y bracelets =  18 x + 15 y

So according to the question:

x + y =  25 ..... (1)

3x + 2y = 60  ....  (2)

Solving the above system  substitute y =  25- x in (1)

we get: 3x + 2y = 60 ⇒  3x + 2(25 -x) = 60

or, x = 10

⇒ y = 25 - x  =  25 - 10 = 15, or y = 15

So, she should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

8 0
1 year ago
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an artist is arranging tiles in rows to decorate a wall. each new row has 2 fewer tiles than the row below it. if the first row
valentinak56 [21]

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant

This problem is an Arithmetic Sequence

where

the first term is 23

and

the common difference is -2

In general we can write an Arithmetic Sequence as a rule

an=a1+d*(n-1)

where

a1 is the first term

d is the common difference

so

a1=23\\\\  d=-2

<u>Find the term a7</u>

an=a1+d*(n-1)\\ \\  a7=23+(-2)*[7-1]\\ \\\\ a7=23-12\\ \\\\    a7=11

therefore

<u>the answer is</u>

11\ tiles


7 0
1 year ago
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A convex lens has a diameter of 30 mm and a depth of 5 mm at the center. How far from the vertex is the focus?
natima [27]
The formula for determining the distance of the focus from the vertex is as follows,

     f = x² / 4a

where f is focus, x is the radius (half the value of diameter), and a is the depth. Substituting the known values to the given equation,

   f = (30/2 mm)² / (4)(5 mm)

    f = 11.25 mm

<em>ANSWER: 11.25 mm</em>
8 0
1 year ago
The average length of a king cobra is 3.7 m. The record length is 1.88 m longer than the average. How long is the record holder?
Ugo [173]

Answer:

The record holder is 5.58 m.

Step-by-step explanation:

3.7+1.88=5.58


3 0
2 years ago
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The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in m
dolphi86 [110]

Answer:

<u>The correct answer is D. Any amount of time over an hour and a half would cost $10.</u>

Step-by-step explanation:

f (t), when t is a value between 0 and 30

The cost is US$ 0 for the first 30 minutes

f (t), when t is a value between 30 and 90

The cost is US$ 5 if the connection takes between 30 and 90 minutes

f (t), when t is a value greater than 90

The cost is US$ 10 if the connection takes more than 90 minutes

According to these costs, statements A, B and C are incorrect. The connection doesn't cost US$ 5 per hour like statement A affirms, the cost of the connection isn't US$ 5 per minute after the first 30 minutes free as statement B affirms and neither it costs US$ 10 for every 90 minutes of connection, as statement C affirms. <u>The only one that is correct is D, because any amount of time greater than 90 minutes actually costs US$ 10.</u>

3 0
1 year ago
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