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julsineya [31]
3 years ago
9

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
umka2103 [35]3 years ago
5 0

Answer:

x^2 +23x +49

Step-by-step explanation:

Find the area of the large rectangle

(x+10) * (2x+5)

FOIL

2x^2 +5x+20x+50 = 2x^2 +25x +50

Find  the area of the unshaded square

(x+1) (x+1)

FOIL

x^2 +x+x+1 = x^2 +2x+1

To find the area of the shaded region

Take the area of the large rectangle and subtract the area of the square

2x^2 +25x +50 - (x^2 +2x+1)

Distribute the minus sign

2x^2 +25x +50 - x^2 -2x-1

Combine like terms

x^2 +23x +49

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Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). The actual blood pressure values for nine
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Answer:

a) 117.4

b) 117.9

c) Option A)  When there is rounding or grouping, the median can be highly sensitive to small change

Step-by-step explanation:

We are given the following data set in the question:

108.6, 117.4, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

n = 9

a) Median of the reported blood pressure values

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.4, 120.0, 121.5, 123.2, 128.4

Median =

\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.4

b) New median of the reported values

Data: 108.6, 117.9, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.9, 120.0, 121.5, 123.2, 128.4

New Median =

\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.9

c) Since median is a position based descriptive statistics, a small change in values can bring a change in the median value as the order of the data may change.

Option A)  When there is rounding or grouping, the median can be highly sensitive to small change

7 0
3 years ago
Simplify 3 times x² times y times 4z times x times 2y times z​
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Step-by-step explanation:

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Can you simplify 14x+11 please??
ad-work [718]

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It cannot be further simplified

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11 is a prime number, so there are no numbers that can go into 14 and 11 (besides 1 and 1 would not simplify the problem)

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an engineer has a 54 inch wire that she has to cut into two pieces so that one piece is 8 inches shorter than the other find the
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Hey there!!

Let's take the length of the bigger piece as x inches

Then, the length of the smaller piece would be x - 8 inches

The sum of these lengths would be 54 inches

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