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Alinara [238K]
3 years ago
7

Suppose you have the 26 letters of the alphabet on separate cards in a hat. You pick out a card, write down the letter, put the

card back in the hat, mix up the cards, pick out another card, and so on. What is the probability that on your first four draws your letters spell MATH?
Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0
(1/26)⁶ = 1/308,915,776
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Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.
hoa [83]

Answer:

Hence, the average rate of change is:

\dfrac{97}{12}

Step-by-step explanation:

We are asked to calculate the average value of the function:

f(x)=x^2-\dfrac{1}{x}-4 in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6  is given as:

\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}

Now,

f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}

f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}

Hence, the average rate of change is:

\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}

Hence, the average rate of change is:

\dfrac{97}{12}

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ratelena [41]
30 - 29 = 1 for the first one.
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3 years ago
Which angle is supplementary to 6 ?
natulia [17]

Answer:

< 3

explanation:

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What is the domain and range?
Viefleur [7K]

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Domain is your x max and Min, Range is your y max and Min

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Domain would be -5 to 8 or (-5,8)

range would be -3 to 2 or (-3,2)

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Consider all numbers consisting of four different digits all between 1 and 9 . How many of these are odd
Slav-nsk [51]

Answer:

1680

Step-by-step explanation:

Considering repeatition is not allowed.

We can  use permutation to reach to the required answer.

Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.

Therefore, Total numbers = 5×8×7×6 = 1680

7 0
3 years ago
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