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Free_Kalibri [48]
2 years ago
15

The weights of packs of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation 2.4

Mathematics
1 answer:
Verdich [7]2 years ago
4 0

A Z-score helps us to understand how far is the data from the mean. The correct option is B.

<h3>What is Z-score?</h3>

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

Z = \dfrac{X- \mu}{\sigma}

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

The weight of a randomly selected pack of gum has a z-score of 3.11. Therefore, The weight of this pack of gum is heavier than the mean weight by 3.11 standard deviations.

Hence, the correct option is B.

Learn more about Z-score:

brainly.com/question/13299273

#SPJ1

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What s the midpoint of the line segment with endpoints (3.5,2.2) and (1.5,-4.8)
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Answer:

First, you must find the midpoint of the segment, the formula for which is  

(

x

1

+

x

2

2

,

y

1

+

y

2

2

)

. This gives  

(

−

5

,

3

)

as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula  

y

2

−

y

1

x

2

−

x

1

, which gives us a slope of  

5

.

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of  

5

is  

−

1

5

.

We now know that the perpendicular travels through the point  

(

−

5

,

3

)

and has a slope of  

−

1

5

.

Solve for the unknown  

b

in  

y

=

m

x

+

b

.

3

=

−

1

5

(

−

5

)

+

b

⇒

3

=

1

+

b

⇒

2

=

b

Therefore, the equation of the perpendicular bisector is  

y

=

−

1

5

x

+

2

.

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