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LuckyWell [14K]
3 years ago
5

LPPOJIL

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0
The answer should be the top one, 24+6
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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
Paladinen [302]

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
Planes X and Y are perpendicular. Points A, E, F, and G are points only in plane X. Points R and S are points in both planes X a
NemiM [27]
Given:

Planes X and Y are perpendicular to each other
Points A, E, F, and G are points only in plane X
Points R and S are points in both planes X and Y
Lines EA and FG are parallel

The lines which could be perpendicular to RS are EA and FG. 
6 0
3 years ago
Read 2 more answers
find a number such that 8 times the number is 36 greater than the opposite of the number. Explain also please. ♥
lukranit [14]
Let's turn this sentence into an equation:

8n = -n + 36

Then solve:

9n = 36 => n=4
6 0
4 years ago
Read 2 more answers
A partial proof was constructed given that MNOP is a parallelogram.
Yanka [14]
A diagram of parallelogram MNOP is attached below

We have side MN || side OP and side MP || NO

Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.

Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size. 

∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines

∠N+∠O=180° and ∠O+∠P=180°

∠N and ∠P are of equal size

we deduce further that ∠M and ∠O are of equal size

Hence, the correct statement to complete the proof is

<span>∠M ≅ ∠O; ∠N ≅ ∠P

</span>

4 0
4 years ago
Read 2 more answers
Rewrite the fractions 3/4 and 5/16 as fractions with a least common denominator.
nata0808 [166]

Answer:

12/16 and 5/16

Step-by-step explanation:

We are given two fractions with denominator 4 and 16.

To find the least common denominator, of 4 and 16.

Factorise 4 and 16.

4 = 2x2  

16 = 2x2x2x2

i.e. 4 divides 16.

Hence  Least common denominator = bigger number = 16

Make the given fractions to equivalent fractions with common denominator 16.

3/4 = 4(3)/4(4) = 12/16 and

5/16 = 1(5)/16(1)= 5/16

Hence answer would be

12/16 and 5/16


6 0
3 years ago
Read 2 more answers
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