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Dmitry [639]
2 years ago
15

10 students are competing in a dance competition. How many was can you award first, second, and third place?

Mathematics
1 answer:
weqwewe [10]2 years ago
4 0

Given:

Total number of students = 10

To find:

How many was can you award first, second, and third place?

Solution:

Total number of students is 10. So, the total possible ways for the first award is 10.

We know that one student can hold only one place. So, after giving the first award, the number of remaining students is 9 and the total possible ways for the second award is 9.

Similarly, the total possible ways for the third award is 8.

Now, the total number of ways to award first, second, and third place is:

10\times 9\times 8=720

Therefore, the total number of ways to award first, second, and third place is 720.

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Which function has an asymptote at x= 39
LekaFEV [45]

Answer:

option B : f(x)= log_7(x-39)

Step-by-step explanation:

(a) f(x) = 7^{x-39}

For exponential function , there is no vertical asymptotes

General form of exponential function is

f(x) = n^{ax-b}+k

f(x) = 7^{x-39}

In the given f(x) the value of k =0

So horizontal asymptote is y=0

(b) lets check with option

f(x)= log_7(x-39)

To find vertical asymptote we set the argument of log =0  and solve for x

Argument of log is x-39

x-39=0 so x=39

Hence vertical asymptote at x=39


3 0
3 years ago
Read 2 more answers
12 people share 2 pies equally.how many people can share one pie
madreJ [45]

Answer:

6 people

Step-by-step explanation:

12/2 is 6 people on each pie

5 0
2 years ago
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The gas tank of a car is 36% empty what fraction of the tank is full
Debora [2.8K]
64% of the gas tank is full                                 
4 0
3 years ago
Identify the independent and dependent quantities from the function’s verbal description. What is the independent quantity, and
ad-work [718]

Question:

What is the independent quantity, and which variable should represent it?

Answer:

They're independent of everything else. The dependent variable (sometimes known as the responding variable) is what is being studied and measured in the experiment. It's what changes as a result of the changes to the independent variable. An example of a dependent variable is how tall you are at different ages.

Explanation:

The two main variables in an experiment are the independent and dependent variable. An independent variable is the variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable. A dependent variable is the variable being tested and measured in a scientific experiment. The dependent variable is the one that depends on the value of some other number. ... Another way to put it is the dependent variable is the output value and the independent variable is the input value. So for y=x+3, when you input x=2, the output is y = 5. An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist. Independent variable – the variable that is altered during a scientific experiment. Dependent variable – the variable being tested or measured during a scientific experiment. Controlled variable – a variable that is kept the same during a scientific experiment.

Note:

Sorry i'm 5 days Late, But i hope this clears up any confusion for anyone!

5 0
3 years ago
Read 2 more answers
The American Veterinary Association claims that the annual cost of medical care for dogs averages $100 with a standard deviation
Taya2010 [7]

Answer:

The probability that the cost for someone's dog is higher than for the cat is 33.2%.

Step-by-step explanation:

With the data given, we know that the difference in cost of medical care of dogs and cats have a normal distribution with μ=-20 and σ=46.

To know the probability of the cost for the dog is higher than the cat, we have to calculate the probability of P(d>0).

Then we have to calculate z, and look up in a standarized normal distribution table.

Calculate z:

z=\frac{X-\mu}{\sigma}=\frac{0-(-20)}{46}=\frac{20}{46}=   0.4348

The probability of the difference being higher than 0, we have:

P(d>0)=P(z>0.4348)=0.33185

We can say that the probability that the cost for someone's dog is higher than for the cat is 33.2%.

8 0
2 years ago
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