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Ludmilka [50]
3 years ago
12

A sweater originally costs $36. If the sweater is on sale for $30.24 what is the percent of the discount

Mathematics
2 answers:
avanturin [10]3 years ago
6 0
36 - 30.24 = 5.76

36 x 0.16 = 5.76

The answer is 16%

I hope this helps! 

skelet666 [1.2K]3 years ago
5 0
I think not sure but i think the discout is $5.76
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Please provide a picture or more explanation
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The velocity of a particle moving along the x-axis is v(t) = t2 + 2t + 1, with t measured in minutes and v(t) measured in feet p
kkurt [141]
V(t)=t^2+2t+1  integrating we get d(t)

d(t)=t^3/3+t^2+t or more neatly

d(t)=(t^3+3t^2+3t)/3 so

d(2)=(8+12+6)/3

d(2)=26/3

So the particle moves 9 feet (to the nearest foot) in the first two minutes.
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3 years ago
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Wat are the two qualifications a graph must follow for it to be proportional
Oksi-84 [34.3K]

The two requirements for a proportional relationship are: The ratio of the two variables maintain the same ratio.

4 0
3 years ago
Consider sampling heights from the population of all female college soccer players in the United States. Assume the mean height
Verizon [17]

Answer:

The approximated value of the standard deviation is 0.35.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the distribution of sample means is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample means is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

The information provided is:

<em>n</em> = 100

<em>σ</em> = 3.5

<em>μ</em> = 66

As the sample size is quite large, i.e. <em>n</em> = 100 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.

Then the approximated value of the standard deviation of sampling distribution of sample mean is:

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

    =\frac{3.5}{\sqrt{100}}\\\\=0.35

Thus, the approximated value of the standard deviation is 0.35.

5 0
4 years ago
Which equation is represented by the graph below?
DIA [1.3K]
<h2>Hello!</h2>

The answer is:

The equation that is represented by the shown graph is the equation from the option D.

y=e^{x}-4

<h2>Why?</h2>

Since we are given two types of functions, exponential and logarithmic, we need to remember that there is just an option that matches with the graph.

So, from the graph we can see that we are looking for an exponential function which intercepts are located at the point (0,-3) and a point which y-coordinate is equal to 0 and its x-coordinate is located at the x-axis between the number 1 and 2.

From the given options we can see that the only exponential function that intercepts the function at y equal to -3 is the fourth option, so, let's prove that:

Option D,

y=e^{x}-4

Finding the y-intercept, we need to make "x" equal to 0, so:

y=e^{x}-4

y=e^{0}-4

y=1-4=-3

So, we know that the y-intercept point is located at (0,-3)

Finding the x-intercept, we need to make "y" equal to 0, so:

0=e^{x}-4

e^{x}=4

ln(e^{x})=ln(4)\\x=ln(4)=1.386

So, we know that the x-intercept point is located at (1.386,0)

Hence, we have that the axis interception points are (0,-3) and (1.386,0), so, the function that matches with the shown graph is the function from the option D.

y=e^{x}-4

Have a nice day!

Note: I have attached a picture for better understanding.

6 0
3 years ago
Read 2 more answers
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