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yKpoI14uk [10]
3 years ago
5

How to set up proportions if your discounted price is $163.80,the discount amount in $ is $31.20 but you don't know your % of di

scount and your original cost Please help
Mathematics
1 answer:
DiKsa [7]3 years ago
8 0

Answer:

  • original cost: $195.00
  • % discount: 16%

Step-by-step explanation:

I wouldn't mess with trying to set up proportions. That seems an inappropriate tool for this. Instead, make use of the known relationships between the various prices:

  original cost - discount amount = discounted price

Adding the discounted amount to both sides of this equation gives ...

  original cost = discounted price + discount amount

  original cost = $163.80 + 31.20

  original cost = $195.00

_____

The percentage discount is ...

  percent discount = (discount amount)/(original cost) × 100%

  = $31.20/$195.00 × 100%

  = 16%

The percentage discount is 16%.

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Suppose a random sample of n measurements is selected from a binomial population with probability of success p = .39. Given n =
Oksi-84 [34.3K]

Answer:

The answer is below

Step-by-step explanation:

a) Given that the number of sample (n) = 300, therefore since n > 30, the distribution of the sample means is going to be normally distributed.

b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

\mu_x=\mu=np=300*0.39=117

c) The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

\sigma_x=\sqrt{np(1-p)} =\sqrt{300*0.39(1-0.39)} =8.44

8 0
3 years ago
Help me plz with this I need help
marysya [2.9K]
How are we supposed to help with this what the heck??
4 0
3 years ago
The difference of a number and five is negative one. Find the number.
Veronika [31]

Answer:

The number is 4

Step-by-step explanation:

Write algebraically:

n-5=-1

n=4

The number is 4

8 0
3 years ago
Explain, how you can solve the pair of equations graphically. Wright the slope and y- intercept for each equation that you will
poizon [28]

You can solve the pair of equations graphically by finding where the two lines intersect/meet. The point where they intersect is the solution to both of the equations.

Slope-intercept form: y = mx + b    

(m is the slope, b is the y-intercept, or the point where x = 0 ---> (0 , y))

y = 7x - 9

m = 7

y-intercept = -9     ----->    (0, -9)

y = 3x - 1

m = 3

y-intercept = -1  ------>  (0, -1)

I'm not really sure what the last sentence of the question is asking, so you could clarify the question if you need help

6 0
3 years ago
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
djyliett [7]

Answer:

  5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

  C = π(5) = 5π = 15.708 . . . units

_____

<em>Additional comment</em>

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

 3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.

6 0
2 years ago
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