Find the five number summary of the following data set : 12,15,9,17,16,10,11,4,8,9,20,12
2 answers:
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Answer:
The real zeros of f(x) are x = 0.3 and x = -3.3.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this problem, we have that:
So
The real zeros of f(x) are x = 0.3 and x = -3.3.
The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
<h3>What is arithmetic mean?</h3>Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.
The two arithmetic means between 3 and 24 are has to be inserted.
3, A₂, A₃, 24
All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:
t(n)=a(n-1)d
Here, d is the common difference a is the first terms and n is the total term. The first term, a=3 and t₄=24. Thus, the common difference is;
The second and 3rd term are:
Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
Learn more about the arithmetic mean here;
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Answer:
$189.43
Step-by-step explanation:
To find the original price, write a proportion. In your proportion, write one ration that has sale price over original price. The other ratio should be written with the corresponding percent values. Since the sale price is 65% off then you paid 35% of the regular the price. The proportion should be:
To solve cross multiply numerator and denominator of each fraction.
66.30(100) = x(35)
6630 = 35x
189.43 = x
This means the regular price is $189.43.