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mezya [45]
3 years ago
11

Which expression is equivalent to 8 square root 6 in square root form

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

Answer:

2 square root 2

Step-by-step explanation:

it is equal to 2.828 approximately. Squares root of a number is the number, which, on multiplying by itself gives the original number. Since 8 is not a perfect square, hence the value is represented in root form.

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The boxplot below shows salaries for CPAs and Actuaries in a town. 30 40 50 60 70 80 90 100 Salary (thousands of $) Actuary CPA
MA_775_DIABLO [31]

Answer: 75%

Step-by-step explanation:

In order to answer this question, we have to know the meaning of a box plot. Boxplots are especially useful in statistical analysis and gives us a meaningful range of values. A box plot consists of 2 shapes, which are the box part and the extended lines. The short sides of the  box and the vertical line in the middle of the box represent a certain percentage of the values. The vertical line in the boxplot is the median of your dataset. For example, according to the shape given in the question, the median value for CPA's is 50 and this is closer to the left side of the box. This means that the first half ogf the dataset (when ranked from the smallest to the greatest) is closer to each other. The sides of the box represent the values at the 25% and 75% of the values respectfully.

For example, if we have 100 values, we rank them in order and the 25th value corresponds to the left side of the boxplot (named first quartile), 50th value (which is also the median)  corresponds the vertical line in the box and and the 75the value corresponds to the right side of the box (named third quartile).

The extended arms are calculated as accordingly: IQR=(3rd quartile value-1st quartile value). Left extended arm is first quartile-1.5*IQR and right extended arm is third quartile+1.5*IQR. However, this information is not directly related to this question.

Now, this question should seem simpler. The median salary of CPA is 50 and this is equal to left side of the Actuary boxplot, which corresponds to the 25% of actuaries. As a result, CPA median salary is less than 75% of the Actuaries (100%-25%).

3 0
3 years ago
Factorize 9(a+1)^2-81​
Lunna [17]

Answer:9a^2+18a-72

Step-by-step explanation:

9(a+1)^2-81

9(a+1)(a+1)-81

Open brackets

9(a^2+a+a+1)-81

9(a^2+2a+1)-81

9a^2+18a+9-81

9a^2+18a-72

5 0
3 years ago
Triangle ABC has A(-3,6),B(2,1), and C(9,5) what the length of side AB? What the length BC what the length AC and what ABC
vovikov84 [41]

Answer:

<em>AB = 5√2</em>

<em>AC = √145</em>

<em>BC = √65</em>

Step-by-step explanation:

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

For AB A(-3,6),B(2,1),

AB = √(2+3)²+(1-6)²

AB = √(5)²+(-5)²

AB = √25+25

AB =  √50

<em>AB = 5√2</em>

For AC A(-3,6) and C(9,5)

AC = √(9+3)²+(5-6)²

AC = √(12)²+(-1)²

AC = √144+1

<em>AC = √145</em>

For BC B(2,1), and C(9,5)

BC = √(9-2)²+(5-1)²

BC = √(7)²+(4)²

BC = √49+16

<em>BC = √65</em>

<em></em>

<em>Since All the sides are difference, hence triangle ABC is a scalene triangle</em>

8 0
3 years ago
Name a pair of adjacent angles.
Aleonysh [2.5K]

Answer:

Angle ACB And Angle ECD

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the algebraic expression for the difference between seven times a number and three times that number"?
bogdanovich [222]

Answer:

the last one

Step-by-step explanation:

6 0
3 years ago
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