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Nata [24]
2 years ago
6

The range of this function

Mathematics
1 answer:
Monica [59]2 years ago
7 0

Answer: C

Step-by-step explanation: The range of a function is all the outputs, or in this case all the values on the right side of the function. Therefore, we just look at what numbers are there and we find the range

 

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Five and one half of 2 and one third is what number?
labwork [276]

Given:

Five and one half of 2 and one third.

To find:

The number for the given statement.

Solution:

Five and one half = 5\dfrac{1}{2}

2 and one third = 2\dfrac{1}{3}

The given statement is five and one half of 2 and one third.

Here, the word "of" is used for multiplication.

So, the expression for the given statement is:

5\dfrac{1}{2}\times 2\dfrac{1}{3}

=\dfrac{10+1}{2}\times \dfrac{6+1}{3}

=\dfrac{11}{2}\times \dfrac{7}{3}

=\dfrac{77}{6}

Therefore, the required number is \dfrac{77}{6}.

8 0
2 years ago
The following data were collected by counting the number of operating rooms in use atTampa general Hospital over a 20-day period
arlik [135]

Answer:

a)

Operating room x    1         2      3       4

P(x)                          0.15  0.25  0.4   0.2

b)

The graph of probability distribution is in attached image.

c)

All the probabilities lies in the range (0 to 1) and the probabilities add up to 1 so, the computed probability distribution is the valid probability distribution.

Step-by-step explanation:

Number of operating rooms   Days

1                                                  3

2                                                 5

3                                                 8

4                                                 4

a)

Sum of frequencies=1+2+3+4=10

Operating rooms x   frequency f  Relative frequency

1                                    3                    3/20=0.15

2                                   5                   5/20=0.25

3                                   8                   8/20=0.4

4                                   4                   4/20=0.2

So, using the relative frequency approach, a discrete probability distribution for number of operating rooms in use on any given day is

Operating room x    1         2      3       4

P(x)                          0.15  0.25  0.4   0.2

b)

The graph of probability distribution is in attached image.

c)

There are two conditions for a probability distribution to be valid

1. All probability must ranges from 0 to 1.

2. All probabilities must add up to 1.

We can see that all the probabilities lies in the range (0 to 1), so, condition 1 is satisfied.

For condition 2,

sum[p(x)]= 0.15+0.25+0.4+0.2=0.4+0.6=1.

As the probabilities add up to 1, so the condition 2 is also satisfied.

Thus, the computed probability distribution is the valid probability distribution.

7 0
2 years ago
On average and adult rest of it breathes in and out 12 times per minute about how many breaths will an adult take in a day?
Firlakuza [10]
Ques 1: 1min->12 breathsl
24*60=1440->12*24*60=17280breaths
answer : 17280 breaths
ques 2: 2 weeks(6*2=12days) -> 2808
1 day->2808/12=234 miles
answer :234 miles
8 0
2 years ago
Solve for x<br> 4r – 9 – 6x = 21
ehidna [41]

Answer:

X= 30-4r/-6

Step-by-step explanation:

1. Move the 9 to the other side. (21+9=30)

2. subtract the 4r and move it to the other side (-6x=21-4r)

3. divide both sides by -6

5 0
3 years ago
Pls help! evaluate the function for x=3a.
Musya8 [376]
The answer is choice C .
5 0
2 years ago
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