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Lunna [17]
3 years ago
5

At a sale this week, a table is being sold for $201 . This is a 33% discount from the original price. What is the original price

?
Mathematics
2 answers:
Vilka [71]3 years ago
7 0
100/33x201= 100/33=3•03030.
3•03030×201=609•09.
Artemon [7]3 years ago
3 0
The Answer is $609; is the original price
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3 years ago
Listed below are the number of years it took for a random sample of college students to earn bachelor's degrees (based on data f
schepotkina [342]

Answer:

a) Mean = 6.5, sample standard deviation = 3.50

b) Standard error = 0.7826

c) Point estimate = 6.5

d) Confidence interval:  (5.1469 ,7.8531)

Step-by-step explanation:

We are given the following data set for students to earn bachelor's degrees.

4, 4, 4, 4, 4, 4, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 6, 6, 8, 9, 9, 13, 13, 15

a) Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{130}{20} = 6.5

Sum of squares of differences = 6.25 + 6.25 + 6.25 + 6.25 + 6.25 + 6.25 + 4 + 4 + 4 + 4 + 4 + 4 + 0.25 + 0.25 + 2.25 + 6.25 + 6.25 + 42.25 + 42.25 + 72.25 = 233.5

S.D = \sqrt{\frac{233.5}{19}} = 3.50

b) Standard Error

= \displaystyle\frac{s}{\sqrt{n}} = \frac{3.50}{\sqrt{20}} = 0.7826

c) Point estimate for the mean time required for all college is given by the sample mean.

\bar{x} = 6.5

d) 90% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.729  

6.5 \pm 1.729(\frac{3.50}{\sqrt{20}} ) = 6.5 \pm 1.3531 = (5.1469 ,7.8531)

e) No, the confidence interval does not contain the value of 4 years. Thus, confidence interval is not a good estimator as most of the value in the sample is of 4 years. Most of the sample does not lie in the given confidence interval.

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4 years ago
Re-write the quadratic function below in Standard Form?<br> y = –2(x + 4)(x - 3)
4vir4ik [10]

y = -2(x + 4)(x - 3)

y = -2(x² + x - 12)

y = -2x² -2x + 24

7 0
3 years ago
Use a table of signs to solve the inequality
bulgar [2K]

The interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

The inequality given in the problem is,

4x + \dfrac{5}{9} - 3x \geq 0

Simplify the equation first by adding the same terms,

4x + \dfrac{5}{9} - 3x \geq 0\\4x - 3x+ \dfrac{5}{9}  \geq 0\\x+ \dfrac{5}{9}  \geq 0\\x\geq-\dfrac{5}{9}

Now in this case, if the value x is ranges from -5/9 to infinity.

Thus, the interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.

Learn more about the inequality equation here:

brainly.com/question/17724536

#SPJ1

6 0
2 years ago
Khan work...........
s344n2d4d5 [400]
K>7/3 i dont know what the other box at the top is for so i cant answer that one
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3 years ago
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