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damaskus [11]
3 years ago
13

Lisa owns a "Random Candy" vending machine, which is a machine that picks a candy out of an assortment in a random fashion. Lisa

controls the probability of picking each candy. The machine has too much of the candy "Coffee Toffee," so Lisa wants to program it so that the probability of getting "Coffee Toffee" twice in a row is greater than \dfrac{4}{3} 3 4 ​ start fraction, 4, divided by, 3, end fraction times the probability of getting a different candy in one try. Write an inequality that models the situation. Use ppp to represent the probability of getting "Coffee Toffee" in one try.
Mathematics
1 answer:
icang [17]3 years ago
4 0

Answer:

  p² > 4/3(1 -p)

Step-by-step explanation:

Assuming candy selections are independent from one to the next, the probability of getting Coffee Toffee twice in a row will be p². The probability of getting some other selection than Coffee Toffee will be 1-p.

Lisa wants ...

  p² > (4/3)(1 -p)

_____

This has solution p > 2/3.

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\bf \textit{volume of a square pyramid}\\\\
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3 0
3 years ago
The voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has
ANTONII [103]

Answer:

The voltage in exponential form would be (\frac{3}{5})^3.

The original voltage in the circuit is \frac{3}{5} of a volt.

Step-by-step explanation:

Let x represent the original voltage.

We have been given that the voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has been reduced 3 times.

The original voltage multiplied by itself for 3 times would be x\cdot x\cdot x=x^3.

Now, we will equate x^3 with 27/125 as:

x^3=\frac{27}{125}

We know that 27 is cube of 3 and 125 is cube of 5, so we can represent our equation as:

x^3=\frac{3^3}{5^3}

x^3=(\frac{3}{5})^3

Therefore, the voltage in exponential form would be (\frac{3}{5})^3

Now, we will take cube root of both sides to find original voltage in the circuit as:

\sqrt[3]{x^3} =\sqrt[3]{(\frac{3}{5})^3}

Using property \sqrt[n]{a^n} =a, we will get:

x =\frac{3}{5}

Therefore, the original voltage in the circuit is \frac{3}{5} of a volt.

6 0
4 years ago
A square has one<br> side that measures<br> 6 inches. What is<br> the perimeter of<br> the square?
MariettaO [177]

Answer:

24 inches

Step-by-step explanation:

a square has 4 equal sides. if one side is 6, the rest of the sides are also six. perimeter is all the sides added. so 6+6+6+6, or 6*4, equals 24 inches as perimeter.

4 0
3 years ago
Which of the following is a proportion?
poizon [28]

Answer:

Option C, 14/21=9/21 is the proportion.

Step-by-step explanation:

Given:

a.5/7 = 10/12

b.9/15 = 12/18

c.4/6 = 8/12

d.14/21 = 9/12

We have to find the proportions.

In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.

Let's work with option C

⇒ \frac{4}{6}=\frac{8}{12}

To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).

Simplest form of  \frac{8/2}{12/2} = \frac{4}{6} , \frac{4/2}{6/2}= \frac{2}{3}

Simplest form of \frac{4}{6} = \frac{2}{3}

Both sides in option C have equal ratios of 2/3.

So 4/6=8/12 is in proportion.

6 0
4 years ago
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