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Mariulka [41]
2 years ago
8

Maria records random speeds from three different Internet providers in the table. Provider Download Speed (megabits per second)

CityNet 3.6, 3.7, 3.7, 3.6, 3.9 Able Cable 3.9, 3.9, 4.1, 4.0, 4.1 Tel-N-Net 3.9, 3.7, 4.0, 3.6, 3.8 Which company offers the fastest mean downloading speed
Mathematics
1 answer:
Igoryamba2 years ago
7 0

Answer:

<em>Able Cable </em>

Step-by-step explanation:

<u>Mean Value of Samples</u>

It's central tendency statistics measure that gives one representative value out of a complete dataset. It can be computed as the sum of the values by the number of values:

\displaystyle \bar x=\frac{\sum x_i}{n}

We need to evaluate the mean value of the three internet providers mentioned in the question.

For CityNet:

\displaystyle \bar x_1=\frac{3.6+3.7+3.7+3.6+3.9}{5}=3.7

For Able Cable:

\displaystyle \bar x_2=\frac{3.9+3.9+4.1+4.0+4.1}{5}=4.0

And for Tel-N-Net:

\displaystyle \bar x_3=\frac{3.9+3.7+4.0+3.6+3.8}{5}=3.8

We can conclude Able Cable offers the fastest mean downloading internet speed

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If ABC is congruent to DEC, angle B = 50 degrees and angle E = 5x x=
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2 years ago
The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Fin
Free_Kalibri [48]

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.03

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 8.01}{0.06})=0.03  

= 1 -P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.03  

=P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.97  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = 1.881\\\\x = 8.12  

Thus, 8.17 g separates the top 3% of the weights.

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 8.01}{0.06})=0.03  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 8.01}{0.06} = -1.881\\\\x = 7.90  

Thus, 7.90 separates the bottom 3% of the weights.

Thus, the correct answer is

Option D) 7.90 g and 8.12 g

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2 years ago
If three times a number is at least four or more than eight times the number, which of the following is true? A-The number is at
alexgriva [62]
C because it makes more sense then the others
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2 years ago
Tennessee has a population of about 6,495,978. Its territory can be modeled as a trapezoid, as shown in the figure. Each unit on
kotegsom [21]

Answer:

The population density is 150 persons per square mile

Step-by-step explanation:

Firstly, we need to calculate the area of the trapezoid.

Mathematically, the area of a trapezoid is

(a+b)/2 * h

from the grid, we can obtain the lengths

on the x-axis , each line is 40(200/5 thin lines)

on the y-axis, each thin line also is 40(200/5 thin lines)

thus a = (8 * 40) = 320

b = (10* 40) = 400

h = (3 * 40) = 120

Inserting this into the area equation, we have the area of the trapezoid as (320 + 400)/2 * 120 = 43,200 units

since each unit = 1 mile, the area of Tennessee = 43,200 units

The population density is thus ; 6,495,978/43,200= which is approximately 150 persons per square mile

3 0
2 years ago
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