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Eddi Din [679]
2 years ago
15

Simplify the expression using the proper order of operations 5[6 ÷ 2^2 ∙ 3 - 1]

Mathematics
1 answer:
disa [49]2 years ago
3 0

The simplification of the expression 5(6 ÷ 2² × 3 - 1) using the proper order of operation is 3.75

<h3>Simplification</h3>

5(6 ÷ 2² × 3 - 1)

Bodmas

  • B - Bracket
  • O - of
  • D - division
  • M - Multiplication
  • A - Addition
  • S - Subtraction

= 5(6 ÷ 4 × 3 - 1)

= 5(6 ÷ 4 × 2)

= 5(6 ÷ 8)

= 5(0.75)

= 3.75

Learn more about simplification:

brainly.com/question/723406

#SPJ1

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Consider the following information related to a set of quantitative sample data:
svlad2 [7]

Answer:

(a) There are outliers

(b) x and x >62

Step-by-step explanation:

Given

\sigma = 14.92

\bar x = 22.0

q_0 = -24

q_1 = 14.5

q_2 = 24.5

q_3 = 33.5

q_4 = 64

Solving (a): Check for outliers

This is calculated using:

Lower = Q_1 - (1.5 * IQR) --- lower bound of outlier

Upper = Q_3 +(1.5 * IQR) --- upper bound of outlier

Where

IQR = Q_3 - Q_1

So, we have:

IQR = 33.5 - 14.5

IQR = 19

The lower bound of outlier becomes

Lower = Q_1 - (1.5 * IQR)

Lower = 14.5 - (1.5 * 19)

Lower = 14.5 - 28.5

Lower = -14

The upper bound of outlier becomes

Upper = Q_3 +(1.5 * IQR)

Upper = 33.5 + 1.5 * 19

Upper = 33.5 + 28.5

Upper = 62

So, we have:

-14 \le x \le 62 --- the range without outlier

Given that:

q_0 = -24  --- This represents the lowest data

q_4 = 64   --- This represents the highest data

-24 and 64 are out of range of -14 \le x \le 62.

Hence, there are outliers

Solving (b): The outliers

The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)

So, the outliers are:

x and x >62

4 0
3 years ago
Your food bill comes to $68.26. If the tax rate is 7%, calculate the amount of tax your family will pay.
romanna [79]
Food bill = $68.26
Tax rate = 7 %
Tax that will be payed = 7/100 × 68.26
= $4.78
Hope u get the answer
6 0
3 years ago
Read 2 more answers
An airplane travels at 150 miles per hour. The total distance traveled is 637.5 miles. Which equation should be solved to determ
OverLord2011 [107]
The distance (d) traveled by the airplane is the product of multiplying the speed (s) and the trip took (h). The equation is shown below, 
                                           d = s x h
Substitute the known values to the equation, 
                                       637.5 miles = (150 mile/ hour) x h
Manipulating the equation,
                                       h = (637.5 miles) / (150 mile/ hr) 
h is equal to 4.25 hours. 
8 0
3 years ago
What is the order of rotational symmetry of a kite?<br> A) 0 <br> B) 1 <br> C) 2 <br> D) 4
KIM [24]
The order of rotational symmetry of a kite is 1
5 0
3 years ago
Let m=4 and n=36. What is the value of m+.9?​
Anna11 [10]
Answer:
4.9

Explanation:
We are given m = 4 and n = 36 and the expression m + .9.

Replace m with the given value:
4 + .9

Add them together:
4.9
3 0
2 years ago
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