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Artemon [7]
1 year ago
5

or the past 50 days, daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10). Units Sol

d 30, 40, 50, 60, 70 Number of Times 9, 12, 15, 10, 5 a. Determine the relative frequency for each number of units sold b. Suppose that the following random number were obtained .12 .96 .53 .80 .95 .10 .40 .45 .77 .29 Use these random numbers to simulate the 10 days of sales
Mathematics
1 answer:
bagirrra123 [75]1 year ago
3 0

Answer, step-by-step explanation:

A. With the previous exercise we can deduce that there is the situation of a number of sales in a grocery store, the relative frequency for the number of units sold, is shown below:

units sold. relative frequency. Acumulative frequency. interval of random numbers

30. 0.16. 0.16. 0.00 <0.16

40. 0.24. 0.4. 0.16 <0.4

50. 0.3. 0.7. 0.4 <0.7

60. 0.2. 0.9. 0.7<09

70. 0.1. 1. 0.9<1

B. For the next point, they give us some random numbers and then it is compared with the simulation of 10 days in sales:

random Units

number. sold

0.12. 30

0.96. 70

0.53. 50

0.80. 60

0.95. 70

0.10. 30

0.40. 50

0.45. 50

0.77. 60

0.29. 40

the two lists are compared so that opposite each one is the result of the simulation

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Claire for to a show sale. Everything on the shelf is 35% off the marked price. She falls in love with a pair of red heels that
lyudmila [28]
Percentage of discount on the Marked price = 35%
Marked price of the pair of red heels that Claire falls in love with = $64.99
Then
Amount of discount on the
marked price of the pair of red heels = (35/100) * 64.99 dollars
                                                           = 0.35 * 64.99 dollars
                                                           = 22.746 dollars
                                                           = 22.75 dollars
Then
Price of the red heels after discount = (64.99 - 22.75) dollars
                                                           = 42.24 dollars
Percentage of sales tax that needs to be given by Claire = 7.5%
Amount of sales tax that needs to be given by Claire = (7.5/100) * 42.24 dollars
                                                                                     = 316.80/100 dollars
                                                                                     = 3.168 dollars
                                                                                     = 3.17 dollars
Then
The total price of the
red heels that Claire has to pay = (42.24 + 3.17) dollars
                                                   = 45.41 dollars
So Claire has to pay a total of $45.41 for the pair of red heels she has fallen in love with.
8 0
2 years ago
Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?
Mila [183]

Answer:

7 years

Step-by-step explanation:

Suri's age=17 years

Her cousin's age =c

Suri's age is 4 less than 3 times her cousin's age

4 less than 3 times her cousin's age means subtract 4 from 3 times her cousin's age

17=3c - 4

Find c which is her cousin's age

Add 4 to both sides

17+4=3c - 4 + 4

17+4=3c

21=3c

Divide both sides by 3

21/3=3c/3

7=c

Therefore,

C= 7

Her cousin's age = 7 years

4 0
2 years ago
Tarun has 4 more than the twice the number of tshirts Deepak has.Mahesh has 2 more than thrice the number of T-shirts that Tarun
Dafna11 [192]

Answer:

Deepak: 4 t-shirts,

Tarun: 12 t-shirts,

Mahesh: 14 t-shirts.

Step-by-step explanation:

Let x represent number of t-shirts that Deepak has.

Please consider the complete question.

Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has. Mahesh has 2 more than thrice the number of T-shirts Deepak has. If the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, find out the number of the t-shirt each of them has.​

Since Tarun has 4 t-shirt more than twice the number of T-shirts Deepak has, so the number of t-shirts that Tarun has would be 2x+4.

We are also told that Mahesh has 2 more than thrice the number of T-shirts Deepak has. So the number of t-shirts that Mahesh has would be 3x+2.

Since the ratio of the t-shirt that Tarun and Mahesh have is 6 : 7, so we can represent this information in an equation as:

\frac{2x+4}{3x+2}=\frac{6}{7}  

Cross multiply:

6(3x+2)=7(2x+4)

18x+12=14x+28

18x-14x+12-12=14x-14x+28-12

4x=16

x=\frac{16}{4}=4

Therefore, Deepak has 4 t-shirts.

The number of t-shirts that Tarun has would be 2x+4\Rightarrow 2(4)+4=4+4=12

Therefore, Tarun has 12 t-shirts.

The number of t-shirts that Mahesh has would be 3x+2\Rightarrow 3(4)+2=12+2=14

Therefore, Mahesh has 14 t-shirts.

5 0
2 years ago
About 400,000 people visited an art museum in December. What could be the exact number of people who visited the art museum
Zigmanuir [339]
The answer is 359,572
8 0
2 years ago
Read 2 more answers
Show that A(t)=300−250e0.2−0.02t satisfies the differential equation ⅆAⅆt=6−0.02A with initial condition A(10)=50 .
Elina [12.6K]

Step-by-step explanation:

dA/dt = 6 − 0.02A

dA/dt = -0.02 (A − 300)

Separate the variables.

dA / (A − 300) = -0.02 dt

Integrate.

ln(A − 300) = -0.02t + C

Solve for A.

A − 300 = Ce^(-0.02t)

A = 300 + Ce^(-0.02t)

Use initial condition to find C.

50 = 300 + Ce^(-0.02 × 10)

50 = 300 + Ce^(-0.2)

-250 = Ce^(-0.2)

C = -250e^(0.2)

A = 300 − 250e^(0.2) e^(-0.02t)

A = 300 − 250e^(0.2 − 0.02t)

8 0
2 years ago
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