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lutik1710 [3]
2 years ago
14

30, 45, 40, 37, 37, 40, 42, 38, 37, 42, 43, 38 Make a line plot of the data set. Find the median of the data set.

Mathematics
1 answer:
natulia [17]2 years ago
7 0
To find the median order your numbers from least to greatest so

30 37 37 37 38 38 40 40 42 42 43 45

now just cross out the end numbers until you get the number in the middle which is 38 and 40.

what you'd do if there is 2 medians you add them together and divide by 2 so 40+38 equals 78 then divided by 2 is 39.

answer is 39
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Every time you have your cholesterol measured, the measurement may be slightly different due to random fluctuations and measurem
zmey [24]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a i

P(X  < 185 ) =  0.3085

a ii

P(X  > 195 ) =  0.3085

a iii

P(185 < X <  195 ) = 0.3829

b

x =  208.8

Step-by-step explanation:

From the question we are told that  

   The mean is  \mu =  190

   The standard deviation is  \sigma  =  10

   

Generally the probability is  less than 185  is mathematically represented as

      P(X  < 185 ) =  P(\frac{X - \mu }{\sigma } < \frac{185 - 190 }{10 }   )

Generally \frac{X - \mu }{\sigma } = Z (The  \ standardized \  value  \  \ of  \  X)

=>   P(X  < 185 ) =  P(Z< -0.5)

From the z-table the p value  of  (Z< -0.5) is

    P(Z< -0.5) = 0.3085

So

    P(X  < 185 ) =  0.3085

Generally the probability is  less than 185  is mathematically represented as

      P(X > 195 ) =  P(\frac{X - \mu }{\sigma } > \frac{195 - 190 }{10 }   )

=>   P(X  >  195 ) =  P(Z > 0.5)

From the z-table the p value  of  (Z > 0.5) is

    P(Z > 0.5) = 0.3085

So

    P(X  > 195 ) =  0.3085

Generally the probability is  less than 185  is mathematically represented as

      P(185 < X <  195 ) =  P( \frac{185 - 190 }{10 } <  \frac{X - \mu }{\sigma } <  \frac{195 - 190 }{10 } )

=>   P(185 < X <  195 ) =  P(-0.5 < Z > 0.5)

=>   P(185 < X <  195 ) = P(Z  <  0.5 ) -  P(Z <  -0.5)

From the z-table the p value  (Z <  0.5) and  (Z <  -0.5) is  

    P(Z < 0.5) =  0.6915

and  

   P(Z < - 0.5) = 0.3085

So

=>   P(185 < X <  195 ) = 0.6915 -  0.3085

=>   P(185 < X <  195 ) = 0.3829

Generally the level of cholesterol the 97th percentile represents  is mathematically evaluated as

    P(X < x ) =  0.97

=> P(X < x ) = P(\frac{X - \mu}{\sigma }  <  \frac{x - 190}{10 }  ) = 0.97

=>   P(X < x ) = P(Z <  \frac{x - 190}{10 }  ) = 0.97

From the z-table  the z-score for  0.97  is  

      z-score =  1.88

=>

  \frac{x - 190}{10 } =  1.88

=>x =  208.8

7 0
2 years ago
Solve the inequality -8x &lt; 32
deff fn [24]

Answer:

x>-4

Step-by-step explanation:

-8x<32       -       First isolate the x by dividing both sides by -8

-8x/-8<32/-8      

x>-4

<h2><u>When you divide or multiply by a negative the inequality sign flips.</u></h2>

<u></u>

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What is an internal and External angle
UkoKoshka [18]

Answer:

In geometry, an angle of a polygon is formed by two sides of the polygon that share an endpoint. For a simple (non-self-intersecting) polygon, regardless of whether it is convex or non-convex, this angle is called an interior angle (or internal angle) if a point within the angle is in the interior of the polygon. A polygon has exactly one internal angle per vertex. If every internal angle of a simple polygon is less than 180°, the polygon is called convex. In contrast, an exterior angle (or external angle) is an angle formed by one side of a simple polygon and a line extended from an adjacent side.

Step-by-step explanation:

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melomori [17]
0.04444444444All you have to do is divide 2/3 by 3/5.
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If the ratio of side lengths of similar polygons is 6:11, what is the ratio of perimeters
algol13

Answer:

6 : 11

Step-by-step explanation:

the ratio 6 : 11 applies to all linear measure in the similar polygons

Both side lengths and perimeter are linear, hence

ratio of both is 6 : 11

8 0
3 years ago
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