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Lynna [10]
3 years ago
10

Things on sale at 25% off the original price which expression represents the sale price of the original price of the jeans is 40

evaluate the expression and find the sale price
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0
What is the question
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What is the average rate of change between:
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A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.
nlexa [21]

To find the length of a line given two points, we are going to use the distance formula, which is defined below:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

((x_1, y_1) and (x_2, y_2) are the two points)


The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:

D = \sqrt{(-1 - 2)^2 + (5 - 5)^2

  • Substitute values into formula

D = \sqrt{(-3)^2}

  • Combine like terms and then simplify 0^2 to 0

D = \sqrt{9}

  • Compute (-3)^2 = 9

D = 3

  • Compute \sqrt{9} = 3

The length of DC is 3.

7 0
3 years ago
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0degrees°C at the fr
Sergio039 [100]

Answer:

Step-by-step explanation:

Hello!

The variable of study is X: Temperature measured by a thermometer (ºC)

This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC

To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:

P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04

First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.

z= -1.75

Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X

z= (X-μ)/σ

z*σ = X-μ

(z*σ)+μ = X

X= (-1.75-0)/1= -1.75ºC

The value that separates the bottom 4% is -1.75ºC

I hope this helps!

5 0
3 years ago
the temperature at noon is -4F. the temperature at 6:00pm is -12. what is difference between noon and 6:00pm temperature
uysha [10]

Answer:

8 degrees Fahrenheit

Step-by-step explanation:

4 0
3 years ago
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