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Alex Ar [27]
4 years ago
13

Evaluate 3^-1 times (4 times 6) times 2^-3

Mathematics
2 answers:
Sergio [31]4 years ago
4 0

3^-1 * (4 *6) * 2^-3

1/3 * (24) * 1/8

1/24 * 24

1

Answer : 1

Vilka [71]4 years ago
3 0

<u>Answer:</u>

1

<u>Step-by-step explanation:</u>

3^-1 times (4 times 6) times 2^-3 can be written as:

3^{-1} . (4 × 6) . 2^{-3}

Now we can change the negative powers into positive powers by taking a reciprocal of that term to get:

\frac{1}{3} .  (4 × 6) . \frac{1}{2^{3} }

\frac{1}{3} . 24 . \frac{1}{8} = 1

The expression is simplified where the values in the fractions get cancelled by each other to give 1.

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Please help me with this problem look at image
matrenka [14]

Answer:

Value of p is 11 and value of q is -11 .

Step-by-step explanation:

x^2 - 121

= x^2 - 11^2

= ( x+11 ) ( x-11 )

4 0
3 years ago
A study was conducted to determine whether there were significant differences between medical students admitted through special
Mekhanik [1.2K]

Answer:

P(X\geq 9)=P(X=9)+P(X=10)

And using the probability mass function we got:

P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383  

P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402  

And replacing we got:

P(X \geq 9) = 0.383 +0.402= 0.785

Step-by-step explanation:

Let X the random variable of interest "number of  students graduated", on this case we now that:  

X \sim Binom(n=10, p=0.913)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

We want to find the following probability:

P(X\geq 9)=P(X=9)+P(X=10)

And using the probability mass function we got:

P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383  

P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402  

And replacing we got:

P(X \geq 9) = 0.383 +0.402= 0.785

3 0
4 years ago
Hay dos veces la cantidad de manzanas que naranjas en un puesto de frutas. Después de que se vendieron 15 naranjas, hay tres vec
Elan Coil [88]

There are 45 oranges and 90 apples in the beginning.

Step-by-step explanation:

Let the no. of orange be 'b'

Let the no. of apples be 'a'

Given that,

2b = a

3(b-15) = a

3b - 45 = a

3b - 45 = 2b

3b - 2b = 45

b = 45

2b = a

2(45) = a

a = 90

There are 45 oranges and 90 apples in the beginning.

4 0
3 years ago
What do the fractions 10/16; 15/24; 20/32; 25/40; and 30/48 have in common?
Alex17521 [72]

Answer:

The Highest Common Factor is 8

Step-by-step explanation:

This is called ' Highest Common Factor'

Considering the denominators which are 16, 24, 32, 40 and 48

16 = 2×2×2×2

24 = 2×2×2×3

32 = 2×2×2×2×2

40 = 2×2×2×5

48 = 2×2×2×2×3

What they have in common most is 2×2×2 = 8

5 0
3 years ago
An auction website charges $1 for a bid. The bidding starts at 1¢ and goes up 1c at a time. A television that is worth
viktelen [127]

The expected value of the outcome of the bid is $0.18

So let's start by counting how many bids are placed up to a total of 160.

100*160 = 16000.

What will be your arbitrary bid? As each bid has an equal chance of success, the average of all bids is used. (One cent plus 160 dollars) / 2 = 80 dollars (rounded)

Your odds of winning are 1/16000 (1 bid out of 16000).

If you win, your profit is 1920 ($2000 minus $80.00).

1920/16000 is $0.12

Your cost to enter the auction is $1, and your average winning offer is $0.12.

The result is $0.18 (0.12-1=-0.88).

Thus the expected value of the outcome of the bid is $0.18

Learn more about expected value here :

brainly.com/question/23509883

#SPJ1

7 0
2 years ago
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