1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kolbaska11 [484]
3 years ago
9

What percentage of data would you predict would be between 40 and 70 and what percentage would you predict would be more than 70

miles?
Business
2 answers:
Dvinal [7]3 years ago
8 0

Answer:

43.5% and 23.9%

Explanation:

The correct question is:

What percentage of data would you predict would be between 40 and 70 and what percentage would you predict would be more than 70 miles? Subtract the probabilities found through =NORM.DIST(70, mean, stdev, TRUE) and =NORM.DIST(40, mean, stdev, TRUE) for the “between” probability. To get the probability of over 70, use the same =NORM.DIST(70, mean, stdev, TRUE) and then subtract the result from 1 to get “more than”.

Mean; 51.6571429  

Standard deviation: 25.8012116

Predicted percentage between 40 and 70: 43.57%

Actual percentage: 22.86

Predicted percentage more than 70 miles: 23.86%

Actual percentage: 37.14

SOLUTION:

Since the standard deviation and mean are given, we ca use the z-score to determine the probability of the percentages asked for in the question

The z-score formula is

z = (x-μ)/σ

where x is the data value we are looking for,

μ is the sample mean, and

σ is the sample standard deviation.

The data value should be between 40 and 70

So the z-score for 40=

(40−51.6571429)/25.8012116= −0.45

P-value of the -0.45 z-score (checked on the z-score table) = 0.3264

The z-score for 70 will be

(70−51.6571429)/25.8012116= 0.71

P-value of the 0.71 z-score (checked on the z-score table) = 0.7611

Therefore the percentage between 40 and 70= p-value at 70 - p-value at 40

= 0.7611 - 0.3264

= 0.4347 converted to percentage = 43.5%

To find the percentage above 70, we subtract the p-value at 70 from 1

1 - 0.7611 = 0.2389  converted to percentage = 23.9%

Mariana [72]3 years ago
4 0

Answer:

<em>The percentage of data of prediction between 40 and 70 is 0.4347 or about 43.57%., the percentage of prediction that would be more than 70 miles is 0.2389 or about 23.89%</em>

Explanation:

<em>Let us Recall that, </em>

<em>We can perform analysis using the z-score of certain values, only when the standard deviation and the men are. The z-score is the measure of how many standard deviations from the mean a certain value is known. by finding the percentage of values that is expected to be above or below a value is by applying the z-score </em>

<em>The first step is to find the z-score for each of these values. After that, we apply the Standard Normal Probabilities table to find the percentage between the values. The z-score given as follows, </em>

<em>z= x-ẋ/s </em>

<em> ẋ = the sample mean </em>

<em>s = the sample standard deviation </em>

<em>x = is the data value not given </em>

<em> The mean value is = 51.6571429 </em>

<em>The standard deviation value is = 25.8012116 </em>

<em> Then </em>

<em>The z score for 40 is given as </em>

<em> z = 40 – 51.6571429/ 25.8012116 = - 0.45 </em>

<em> The z score for 70 is given as, </em>

<em> Z = 70 – 51.6571429/ 25.8012116 = -0.71 </em>

<em> The table entry for both -0.45 and 0.71 is 0.3264, and 0.7611 </em>

<em>Therefore, </em>

<em> find the percentage between 40 and 70, we subtract table entries to get 0.7611 - 0.3264 = 0.4347 or about 43.57%. </em>

<em>To find the percentage above 70, we subtract the table entry for 70 from 1 to get 1 - 0.7611 = 0.2389 or about 23.89% </em>

You might be interested in
How much will you have if you wait 10 years before beginning to save and only make 35 payments into your retirement​ account?
Ivahew [28]
It all dependes on the money you make and how big the payments are. as you can say you waited tell the day you where going to retire but you but 10,000 dollars in your saving every hour by the end of the day youd have 240,000 dollars in your retirement account.
4 0
3 years ago
Automobile repair costs continue to rise with the average cost now at $367 per repair.† Assume that the cost for an automobile r
vovikov84 [41]

Answer:

a)  0.1728

b)  0.09183

c) 0.7354

d) $ 222.25

Explanation:

Given

mean = \mu = $367

Standard deviation = \sigma =$88

Cost of automobile repair is normally distributed.

a) We have to find P( x > 450 )

P( x > 450 ) = 1 - P( x <= 450 )

Using excel function,   P( x <= x ) = NORMDIST (x,  \mu, \sigma, 1 )

P( x > 450 )   = 1 - NORMDIST( 450 , 367, 88, 1 )

= 1 - 0.8272 = 0.1728

P( x > 450 ) = 0.1728

b)  P( x < 250 ) = NORMDIST( 250 , 367, 88, 1 ) = 0.09183

P( x < 250 ) = 0.09183

c) P( 250 < x < 450 ) = P( x <450 ) - P( x < 250 )

P( x <450 ) = NORMDIST( 450 , 367, 88, 1 ) = 0.8272

P( x < 250 ) = NORMDIST( 250 , 367, 88, 1 ) = 0.09183

P( 250 < x < 450 ) = 0.8272 - 0.09183 = 0.7354

P( 250 < x < 450 ) = 0.7354

d) We have P( X < a ) = 0.05

We have to find a.

Using Excel, = NORMINV ( Probability, \mu, \sigma )

a = NORMINV ( 0.05 , 367, 88 ) = 222.2529

Cost = $ 222.25

8 0
3 years ago
The owner of a single-family house in which he lives wants to sell. If he does not use discriminatory language in advertising, h
Rzqust [24]

Answer:

The answer is: No, he can't discriminate.

Explanation:

The Civil Rights Act of 1866 defined citizenship without distinction of race or color, and stated that all citizens are equally protected by the law.

So the owner of the house (as well as everyone else in this country) is prohibited by law to discriminate potential buyers on the basis of race.

4 0
3 years ago
You are given the following information about equipment that is required for your business. Assume that the equipment will be re
s2008m [1.1K]

Answer:

Machine B EAC is $17,705.78 more than Machine A EAC.

Explanation:

First find the present values of the cost of both machines.

Machine A:

= 200,000 + (15,000 * Present value of annuity interest factor, 15%, 8 years)

= 200,000 + ( 15,000 * 4.4873)

= $‭267,309.5‬0

Machine B

= 300,000 + (17,500 * Present value of annuity interest factor, 15%, 10 years)

= 300,000 + 17,500 * 5.0188

= $‭387,829‬

Equivalent Annual cost Machine A:

= [(NPV * Required return) / 1 - (1 + Required return) ^–Number of Periods

=[(267,309.50 * 15%) / 1 - 1.15⁻⁸

= $59,569.95

Equivalent Annual cost Machine B:

= (387,829 * 15%) / (1 - 1.15⁻¹⁰)

= $77,275.73

Difference:

= 77,275.73 - 59,569.95

= $‭17,705.78‬

4 0
3 years ago
For the past year, Kayla, Inc., has sales of $46,382, interest expense of $3,854, cost of goods sold of $16,659, selling and adm
grandymaker [24]

Answer:

$15,266

Explanation:

Sales                                                          $46,382

Less: Cost of goods sold                          <u>$16,659</u>

Gross profit                                                $29,723

Less: Selling & administrative expense   $11,766

Less: Depreciation                                     <u>$6,415</u>

Earnings before interest and tax (EBIT)    $11,542

Less: Interest expenses                             <u>$3,854</u>

Earnings before tax (EBT)                           $7,688

Less: Tax expenses  (7688*35%)               <u>$2,691</u>

Earnings after tax                                       <u>$4,997</u>

Operating cash flow = EBIT + Depreciation expenses - Tax expenses

Operating cash flow = $11,542 + $6,415 - $2,691

Operating cash flow = $15,266

3 0
3 years ago
Other questions:
  • Paparo Corporation has provided the following data from its activity-based costing system:
    13·1 answer
  • When business writers request information or action that will likely be received positively, they should frontload their message
    14·1 answer
  • Do you think that modern society has contributed to the number of youth suicides? Why or why not?
    12·2 answers
  • The motivating force behind an increase in supply in a long-run adjustment to equilibrium is
    6·1 answer
  • Pat picked a card from a standard deck, looked at it, and then put it back. he then picked a second card. what is the probabilit
    12·1 answer
  • The possibility that management of the corporation may not be pursuing the same goals as the same goals as those of stockholders
    5·1 answer
  • Salvia Company recently purchased a truck. The price negotiated with the dealer was $40,500. Salvia also paid sales tax of $2,10
    7·2 answers
  • (Tco 1) socially adept managers will have a knack for _____.
    11·1 answer
  • Of all leadership variables, _____ leadership is the one most universally endorsed across cultures.
    10·1 answer
  • Steve silversmith produces unique and exclusive sterling silver rings, pendants, buckles, and chains. steve pays one supervisor
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!