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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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Step-by-step explanation:

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2 years ago
A pile of sand in the shape of a cone has a diameter of 8 in. and a height of 5 in.
max2010maxim [7]

if it has a diameter of 8, that means its radius is half that, or 4.


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8 0
2 years ago
What are the values of a and b?
ivann1987 [24]

Answer:

<h2>a = 400/21, b = 580/21</h2>

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

\dfrac{a}{20}=\dfrac{20}{21}               <em>cross multiply</em>

21a=(20)(20)       <em>divide both sides by 21</em>

a=\dfrac{400}{21}

For b, we can use the Pythagorean theorem:

b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}

3 0
3 years ago
A 50-gallon rain barrel is filled to capacity. It drains at a rate of 10 gallons per minute. Write an equation to show how much
makvit [3.9K]

Answer:

The quantity of water drain after x min is 50 (0.9)^{x}  

Step-by-step explanation:

Given as :

Total capacity of rain barrel = 50 gallon

The rate of drain = 10 gallon per minutes

Let The quantity of water drain after x min = y

Now, according to question

The quantity of water drain after x min = Initial quantity of water ×  (1-\dfrac{\textrm rate}{100})^{\textrm time}

I.e The quantity of water drain after x min = 50 gallon ×  (1-\dfrac{\textrm 10}{100})^{\textrm x}

or,  The quantity of water drain after x min = 50 gallon × (0.9)^{x}

Hence the quantity of water drain after x min is 50 (0.9)^{x}  Answer

4 0
2 years ago
Read 2 more answers
Use the formula S A = 6s2 , where S A is the surface and s is the edge length of the cube , to solve his problem.
Gennadij [26K]
To find the surface area of the cube using the formula, you would substitute in 2 1/2 for the length of the side.

SA = 6 x 2.5 x 2.5
SA = 37.5 ft.²

You are finding the area of one face (2.5 x 2.5) and multiplying it by six because there are six groups of this.
4 0
2 years ago
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