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sveta [45]
3 years ago
14

There are 26 prize tickets in a bowl,labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen,not

replaced,and then another prize ticket with a vowel will be chosen? Does this represent an independent or dependent event? Explain
Mathematics
1 answer:
labwork [276]3 years ago
5 0

Answer:

3.1%, dependent event

Step-by-step explanation:

We have that vowel are 5, it is from A, E, I, O, U therefore the probability of drawing a vowel is:

5/26

since there are a total of 26 options to choose from. Then, when selecting that, we are left with 25 options and 4 vowels, therefore the probability would be:

4/25

Therefore the final probability is:

5/26 * (4/25) = 0.031

In other words, selecting a vowel and then another (without replacement) the probability is 3.1%

The events are dependent, since the first event affects the second event, since the number of vowels and the number of total options are reduced.

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P - 198,23 = 127.69<br><br>A. p = 316.92<br><br>B. p = 325.92<br><br>C. p = 325.82
tia_tia [17]
The answer in most likely B
8 0
4 years ago
Given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2​
emmainna [20.7K]

Answer:

16

Step-by-step explanation:

1) Plug x=1 into equation

f(x) = -2(1)²+4(1)+6

f(x) = -2²+4+6

f(x) = 4+4+6

y = 14

(1,14)

2) Plug in x=2 into equation

f(x) = -2(2)²+4(2)+6

f(x) = -4²+8+6

f(x) = 16+8+6

y = 30

(2,30)

3) Use slope formula (\frac{y2-y1}{x2-x1})

\frac{30-14}{2-1}

\frac{16}{1}

16

8 0
2 years ago
The line of the equation are parallel, perpendicular,or neither y=2x+3. y=2x
m_a_m_a [10]
They are parallel to each other
5 0
4 years ago
Give the numerical coefficient of the term -19x
Elenna [48]

Answer: The answer is -19.

Step-by-step explanation: We are given to write the numerical coefficient of -9x.

The given expression is a monomial with unknown variable 'x'.

We know that a numerical coefficient of a monomial is a constant multiplied to the variable(s). For example, in the term -5xy, the unknown variables are 'x' and 'y' and the numerical coefficient is -5.

Therefore, in -9x, the unknown variable is 'x' and the numerical coefficient is -9.

Thus, the answer is -9.

4 0
3 years ago
Experience shows that a ski lodge will be full (161 guests) if there is a heavy snow fall in December, while only partially full
Eva8 [605]

Answer:

Expected number of guests is 100.4.

Step-by-step explanation:

It is given that there are 161 guest if there is a heavy snow fall.

Also, the probability for a heavy snow fall is 0.40.

Therefore, P(X = 161) =0.4.

It is also given that there are 60 guests if there is a light snow fall.

The probability for a light snow fall is 1 - 0.4 = 0.6.

Therefore, P(X = 60) = 0.6.

Expected number of guests = (161)P(X = 161) + (60)P(X = 60)

= 161(0.4) + 60(0.6)

= 64.4 + 36

= 100.4

7 0
3 years ago
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