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Anit [1.1K]
2 years ago
7

Select the outlier in the data set. 3 71 77 82 91 92 94 98

Mathematics
1 answer:
Aleks [24]2 years ago
6 0

Answer:

3

Step-by-step explanation:

3 because it’s further way from 70-90

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Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation
Levart [38]
Completing the square is a process to find the solutions, or the x-values, to a quadratic equation. This method can only work if it is in the format: x^2 + bx = c
In this equation, the b value is -12 and the c value is -6. The process for completing the square goes like this:

x^2 + bx + (b/2)^2 = c + (b/2)^2

Now let’s solve the equation above using this method.

Step 1: x^2 - 12x + (-12/2)^2 = -6 + (-12/2)^2

Step 2: x^2 - 12x + (-6)^2 = -6 + (-6)^2

Step 3: x^2 - 12x + 36 = -6 + 36

Step 4: x^2 - 12x + 36 = 30

Now, to factor it. After doing the process until now, the left side of the equation can ALWAYS be in the format: (x + a)^2

Step 5: x^2 - 12x + 36 can be factored in this format as (x - 6)^2

Step 6: (x - 6)^2 = 30

Step 7: x - 6 = √30

Step 8: x = 6 ±√30

4 0
2 years ago
The formula for the area of a triangle is a =1/2bh in which b represents the length of the base Andy represents the height. If a
aleksandrvk [35]
A=1/2bh
Data:
a=192 mm²
h=12 mm


therefore:
192 mm²=1/2(b)(12 mm)
192 mm²=6b mm
b=192 mm²/6 mm
b=32 mm

Answer: the measure of the base is 32 mm
4 0
3 years ago
Read 2 more answers
Account (A) is a saving account , the interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A). How muc
BaLLatris [955]

Answer:

The principal for the account is $375.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

The interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A).

This means, respectively, that t = 1, E = 12, I = 0.032

We want to find P.

E = P*I*t

12 = P*0.032*1

P = \frac{12}{0.032}

P = 375

The principal for the account is $375.

8 0
3 years ago
Find the perimeter. Simplify your answer completely.
Vladimir79 [104]

Answer:119 4/7

Step-by-step explanation:

2/14+6/14+2/14+4/14+1/14+3/14+4/14= 22/14

10+35+10+12+24+15+12=118

118 22/14

119 8/14

119 4/7

5 0
2 years ago
Read 2 more answers
(4200 + 75) + 5 = ( ? )+ (75+5)<br> What would make it true?
geniusboy [140]

Answer:

4200

Step-by-step explanation:

4280=(?)+80

So the answer is 4200

8 0
3 years ago
Read 2 more answers
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