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alexdok [17]
2 years ago
14

What is the relative frequency of the revenue earned by B&B Motors from sales of mini trucks compared to the total sales rev

enue earned by all four companies?
Sales ($ million)
CompanyConvertiblesSUVs SedansMini TrucksMarginal Totals
Allison 45 28 19 36 128
B&B Motors 65 22 15 9 111
Pluto Cars 18 25 27 10 80
Panther Motors40 26 34 12 112
Marginal Totals168 101 95 67 431
Mathematics
2 answers:
Crank2 years ago
4 0

Answer: 0.021

Step-by-step explanation:

Given Table:

                                                    <u>  Sales ($ million)</u>

Company     Convertibles   SUVs   Sedans     Mini Trucks     Marginal Totals

Allison                  45              28           19               36                     128

B&B Motors          65              22          15               9                        111

Pluto Cars             18              25            27             10                      80

Panther Motors      40            26           34              12                      112

Marginal Totals    168            101          95              67                     431

From the above table, the total sales revenue earned by all four companies = $431 million

The revenue earned by B&B Motors from sales of mini trucks = $9 million.

Then, the relative frequency of the revenue earned by B&B Motors from sales of mini trucks compared to the total sales revenue earned by all four companies will be :-

\dfrac{\text{Revenue earned by B&B Motors from sales of mini trucks}}{\text{Total revenue}}\\\\=\dfrac{\$9\text{ million}}{\$431\text{ million}}\\\\=\dfrac{9}{431}=0.0208816705336\approx0.021

Hence, the required answer is 0.021.

ZanzabumX [31]2 years ago
3 0

Answer: 0.46

Step-by-step explanation: B&B motors convertible - 0.59 all four companies - 0.39 mini trucks- 0.13 .59-0.13=0.46

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What is the probability of selection for any man in a proportionate random sample, where a sample of 100 will be drawn from a po
kolbaska11 [484]
Working Principle: Stratified Random Sampling

nx = (Nx/N)*n

where:
    nx = sample size for stratum x
    Nx = population size for stratum x
    N = total population size 
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Given:

  Nx = 100
  N = 1000
  n = 0.5*(1000) = 500

Required: Probability of Man to be selected

Solution:

nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men

ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women


Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%

<em>ANSWER: 50%</em>
7 0
2 years ago
The sum of a number b and 3 is greater than 8 and less then 12
snow_lady [41]
The sum of a number b and 3 is greater than 8 and less than 12 <span>=> b + 3 < 8
=> b + 3 > 12

</span> <span>Now, let’s combine this into an expression:
=> 8 < b+3 < 12
=>  (8 - 3) < b < (12 - 3)
=> 5 < b < 9
Thus, the answer in the given situation is 9 because 9 is greater than 8 but less than 12.

</span>



4 0
2 years ago
1. The following are the number of hours that 10 police officers have spent being trained in how to handle encounters with peopl
dusya [7]

Answer:

Range = 16

Inter\ Quartile\ Range = 6.75

Variance = 20.44

Standard\ Deviation = 4.52

Step-by-step explanation:

Given

4, 17, 12, 9, 6, 10, 1, 5, 9, 3

Calculating the range;

Range = Highest - Lowest

From the given data;

Highest = 17 and Lowest = 1

Hence;

Range = 17 - 1

Range = 16

Calculating the Inter-quartile Range

Inter quartile range (IQR) is calculates as thus

IQR = Q_3 - Q_1

Where

Q3 = Upper Quartile and Q1 = Lower Quartile

<em />

<em>Start by arranging the data in ascending order</em>

1, 3, 4, 5, 6, 9, 9, 10, 12, 17

N = Number of data; N = 10

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

Calculating Q3

Q_3 = \frac{3}{4}(N+1) th\ item

<em>Substitute 10 for N</em>

Q_3 = \frac{3}{4}(10+1) th\ item

Q_3 = \frac{3}{4}(11) th\ item

Q_3 = \frac{33}{4} th\ item

Q_3 = 8.25 th\ item

Express 8.25 as 8 + 0.25

Q_3 = (8 + 0.25) th\ item

Q_3 = 8th\ item + 0.25 th\ item

Express 0.25 as fraction

Q_3 = 8th\ item +\frac{1}{4} th\ item

Q_3 = 8th\ item +\frac{1}{4} (9th\ item - 8th\ item)

From the arranged data;

8th\ item = 10 and 9th\ item = 12

Q_3 = 8th\ item +\frac{1}{4} (9th\ item - 8th\ item)

Q_3 = 10 +\frac{1}{4} (12 - 10)

Q_3 = 10 +\frac{1}{4} (2)

Q_3 = 10 +0.5

Q_3 = 10.5

Calculating Q1

Q_1 = \frac{1}{4}(N+1) th\ item

<em>Substitute 10 for N</em>

Q_1 = \frac{1}{4}(10+1) th\ item

Q_1 = \frac{1}{4}(11) th\ item

Q_1 = \frac{11}{4} th\ item

Q_1 = 2.75 th\ item

Express 2.75 as 2 + 0.75

Q_1 = (2 + 0.75) th\ item

Q_1 = 2nd\ item + 0.75 th\ item

Express 0.75 as fraction

Q_1 = 2nd\ item +\frac{3}{4} th\ item

Q_1 = 2nd\ item +\frac{3}{4} (3rd\ item - 2nd\ item)

From the arranged data;

2nd\ item = 3 and 3rd\ item = 4

Q_1 = 3 +\frac{3}{4} (4 - 3)

Q_1 = 3 +\frac{3}{4} (1)

Q_1 = 3 +0.75

Q_1 = 3 .75

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

Recall that

IQR = Q_3 - Q_1

IQR = 10.5 - 3.75

IQR = 6.75

Calculating Variance

Start by calculating the mean

Mean = \frac{1+3+4+5+6+9+9+10+12+17}{10}

Mean = \frac{76}{10}

Mean = 7.6

Subtract the mean from each data, then square the result

(1 - 7.6)^2 = (-6.6)^2 = 43.56

(3 - 7.6)^2 = (-4.6)^2 = 21.16

(4 - 7.6)^2 = (-3.6)^2 = 12.96

(5 - 7.6)^2 = (-2.6)^2 = 6.76

(6 - 7.6)^2 = (-1.6)^2 = 2.56

(9 - 7.6)^2 = (1.4)^2 = 1.96

(9 - 7.6)^2 = (1.4)^2 = 1.96

(10 - 7.6)^2 = (2.4)^2 = 5.76

(12 - 7.6)^2 = (4.4)^2 = 19.36

(17 - 7.6)^2 = (9.4)^2 = 88.36

Sum the result

43.56 + 21.16 + 12.96 + 6.76 + 2.56 + 1.96 + 1.96 + 5.76 + 19.36 + 88.36 = 204.4

Divide by number of observation;

Variance = \frac{204.4}{10}

Variance = 20.44

Calculating Standard Deviation (SD)

SD = \sqrt{Variance}

SD = \sqrt{20.44}

SD = 4.52 <em>(Approximated)</em>

4 0
2 years ago
4400 dollars is placed in an account with an annual interest rate of 8.25%.how much will be in the account after 22 years, to th
iVinArrow [24]

Answer:

Future Value = $2,516,900 cent

Step-by-step explanation:

Here, we're to calculate future values;

Given the following parameters

Investment = $4,400

Interest Rate = 8.25%

Time = 22 years

Amount = ?

Future Value is calculated using the following formula;.

Future Value = Investment * (1 + Interest Rate)^time

Substitute each value;

Future Value = $4,400 * ( 1 + 8.25%)^22

Future Value = $4,400 * (1 + 0.0825)^22

Future Value = $25169.036295801178201749433678664198539199704088854443412123828238691203296184539794921875

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Convert to Cent

Future value = $25,169 * 100 cent/$

Future Value = $2,516,900 cent

Hence, $2,516,900 cent will be in the account after 22 years

6 0
2 years ago
Julia is standing 2 feet away from a lamppost. If she casts a shadow of 5 feet and the light makes a 20° angle relative to the g
givi [52]

Answer:

2.5477 feet

Step-by-step explanation:

Refer the image attached to understand my solution.

BC = height of lamppost.

DE = Julia

AD = shadow of Julia

BD = 2 feet.      AD = 5 feet

BA = BD + AD

       = 2 + 5 = 7 feet

In ΔABC

tan 20° = \frac{BC}{BA}  = \frac{BC}{7}

BC = 7 * tan 20°

BC = 2.5477 feet

SO the height of lamppost = 2.5477 feet

5 0
2 years ago
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