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Drupady [299]
3 years ago
13

On a recent quiz, the class mean was 70 with a standard deviation of 2.1. Calculate the z-score (to 4 decimal places) for a pers

on who received score of 76.
Mathematics
1 answer:
Igoryamba3 years ago
5 0
The equation to find a z score is (x- mean)/(standard deviation)

So, in this case the equation would be
(76-70)/(2.1)

For,
X=76
Mean=70
Standard Deviation= 2.1

After solving we find that the z score equals 2.85714

or

2.8571

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The formula for the volume of this rectangular prism is:
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Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

−

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;

............... (2)

W

=

(

x

−

1

)

;

   

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

−

l

0

)

(

x

+

8

)

(

x

−

1

)

,

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

   

   

   

   

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

−

8

)

x

−

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

   

7

l

0

−

8

=

20

;

   

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

8 0
3 years ago
There are 13 gallons of lemonade at a party there are 12 adults and 6 children who will drink the lemonade if eatch person recei
nlexa [21]
The answer is 1.38 gallons
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then 18 / 13 is 1.384615385
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7 0
3 years ago
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