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swat32
3 years ago
11

Modeling Real-World Problems with Composite Functions

Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

The third option: (f°g)(x)=1.07(0.65x)=06955x

Step-by-step explanation:

The reason I chose this is because 0.65x is the discount price.  That's because 35% off is the same as 1.00-0.35 which equals 0.65.  After that you would multiply that discount price by 1.07 because you want the 7% sales tax added on to the discount price.  Therefore, I would choose the third option as my answer.

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Can you tern this into a equation
Aleks [24]

Answer:

n + p x 3 = t

Step-by-step explanation:

n= Navita's money

p= Pawan's money

t= total money

8 0
3 years ago
Assume running consumes 101 Calories per mile. If you run ​9-minute ​miles, what is your average power​ output, in​ watts?
scZoUnD [109]

Answer:

Given 99 Cal used in 1 mile run in 11 minute so (99/11)x2x60

Step-by-step explanation:

4 0
2 years ago
Write the coordinate of G'after G(1, 2) was reflected over the line y=x.
Vikentia [17]

Answer:

(-1,2)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Question 2(Multiple Choice Worth 4 points) (08.02)A pair of equations is shown below. x + y = 5 y = one halfx + 2 If the two equ
8_murik_8 [283]

Answer:

(2,3)

Step-by-step explanation:

The first equation is  x+y=5

The second equation is y=\frac{1}{2}x+2

When we graph these two equations, <em>they will meet at a point which represent the solution of the two equations</em>.

We can solve the two equations simultaneously to determine their point of intersection.

Let us substitute the second equation into the first equation to get;

x+\frac{1}{2}x+2=5

Multiply through by 2 to get;

2x+x+4=10

Group similar terms to obtain;

2x+x=10-4

Simplify;

3x=6

Divide both sides by 3;

\Rightarrow x=2

Put x=2 into the second equation;

y=\frac{1}{2}(2)+2

\Rightarrow y=1+2

\Rightarrow y=3

Therefore the graphs of the two functions intersect at (2,3)

See graph in attachment.

3 0
3 years ago
The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation
serious [3.7K]

The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

<h3>What is normally distributed data?</h3>

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data.

The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The times of the runners in a marathon are normally distributed, with

  • Mean of 3 hours and 50 minutes
  • Standard deviation of 30 minutes.

Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.

The probability of runner selected with time less than or equal to 3 hours and 20 minutes,

P=1-0.84\\P=0.16

Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

Learn more about the normally distributed data here;

brainly.com/question/6587992

4 0
2 years ago
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