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earnstyle [38]
3 years ago
7

Which of the following z-scores indicates the most extreme observation?

Mathematics
1 answer:
UNO [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Normally Z scores in a std normal distribution curve lie between -3 and 3 comprising more than 99% of total area.

Any entry outside (-3,3) can be considered as an extreme observation.

Here we have hence a) -4.3 is the most extreme observation.

-------------------------

Given that 84 separates the lowest 75% of the scores from the highest 25% of the scores,

This means 84 is the 75th percentile and similarly 65 is the 25th percentile.

Thus we have 84 has the percentile rank of 75

Option C

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Solve by elimination -2x+2y=6 and 4x×2y=-5
Valentin [98]

Answer:

x=-11/6, y=7/6. (-11/6, 7/6).

Step-by-step explanation:

-2x+2y=6

4x+2y=-5

-----------------

2(-2x+2y)=2(6)

4x+2y=-5

----------------------

-4x+4y=12

4x+2y=-5

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6y=7

y=7/6

4x+2(7/6)=-5

4x+14/6=-5

4x=-5-14/6

4x=-30/6-14/6

4x=-44/6

x=(-44/6)/4

x=(-44/6)(1/4)

x=-44/24

simplify

x=-11/6

3 0
3 years ago
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3 years ago
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Which property justifies rewriting 3x - 5x as (3 - 5)x ?
slavikrds [6]
A) distributive property
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Drew is 3 years younger than his brother, Jimmy. The sum of the brothers' ages is 21 1. Draw a bar model to represent this situa
alina1380 [7]

The first step to solving a story problem is identifying variables.  For this problem, I will identify the variables as:

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J = Jimmy's age

Once the variables are identified, we need to find as many equations as we have variables.  Since we have two variables, we will have to write two equations.

Since Drew is 3 years younger than Jimmy: D + 3 = J

Since the sum of the brothers' ages is 21:  D + J = 21

Once I have two equations is two variables, I can solve the system using either substitution method or elimination  method.  For this problem, I will use substitution method.

D + J = 21                       Equation 2

D + (D + 3) = 21              Substitution of value of J from equation 1 into equation 2

D + D + 3 = 21                Associative property of addition

2D + 3 = 21                    Simplify

2D + 3 - 3 = 21 - 3          Subtract 3 from each side

2D = 18                          Simplify each side

2D/2 = 18/2                    Divide each side by 2

D = 9                             Simplify each side

Now that we have D, we can substitute it into equation 1 to get the value of J

D + 3 = J                         Equation 1

9 + 3 = J                         Substitution

12 = J                             Simplify

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