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andreyandreev
9 days ago
13

Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 23 full. When she finishes her shi

ft 612 h later, there is only 16 of the tub left. What was the average hourly change in tub fullness?
Mathematics
2 answers:
AnnZ [3.9K]9 days ago
8 0

Answer:

Step-by-step explanation:

Start with 2/3 - 1/6 = 1/2. Then, when dividing 1/2 by 6, we find that 1/2 = 1/13.

tester [3.9K]9 days ago
4 0

Answer:

Rate = 1.1/hr

Step-by-step explanation:

Given

Start = 23

End = 16

Hours = 6\frac{1}{2}h

Required

Calculate the hourly rate

First, we will determine the amount of ice cream that was sold

Ice\ Cream = 23 - 16

Ice\ Cream = 7

Next, calculate the average hourly rate:

Rate = Ice\ Cream/Hours

Rate = 7/6\frac{1}{2}h

Rate = 7/\frac{13}{2}h

Rate = 7*\frac{2}{13h}

Rate = \frac{14}{13h}

Rate = 1.07692307692/hr

Rate = 1.1/hr -- Approximated

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About ten percent of users do not close Windows properly. Suppose that Windows is installed in a public library that is used by
lawyer [4039]

Answer:

Refer to the explanation

Step-by-step explanation:

As approximately 10% of users fail to close Windows properly, we determine:

  • The likelihood that a user neglects to shut down Windows correctly is p=0.1;
  • The likelihood that a user shuts the Windows properly is q=1-p=1-0.1=0.9.

A. On average,

  • one in ten users does not close Windows correctly;
  • 10 out of 100 users fail to close Windows correctly.

B. The likelihood that precisely 8 out of the next 10 users will close Windows correctly is

C^{10}_8\cdot q^{8}p^{10-8}=\dfrac{10!}{8!(10-8)!}\cdot (0.9)^8\cdot (0.1)^2=45\cdot (0.9)^8\cdot (0.1)^2\approx 0.1937

6 0
11 days ago
According to the U.S. Census Bureau (2016), a substantial pay gap still exists. The average American man, with an advanced colle
Leona [4187]

Answer:

The earnings gap, over a career spanning 30 years, between men and women totals $1,200,150

Step-by-step explanation:

Calculated annually.

The typical male earns $90,761 each year.

The typical female earns $50,756 per annum.

Therefore, the annual difference is:

90,761 - 50,756 = 40,005

Across 30 years:

30*40,005 = 1,200,150

The earnings gap over a 30-year career, when comparing men and women, is $1,200,150

0 0
16 days ago
If (a^3+27)=(a+3)(a^2+ma+9) then m equals
Inessa [3926]

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 can be recognized as a sum of cubes, which factors generally as

a³ + b³ = (a + b)(a² - ab + b²). Therefore:

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9).

By comparing a² - 3a + 9 to a² + ma + 9, we find that

m = - 3.

7 0
3 days ago
The hourly wage increases each employee receives each year depends on the number of years of service. Every three years of servi
Inessa [3926]

Answer:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

Step-by-step explanation:

Based on the details provided:

Employees with less than 3 years receive an increase of $0.50 hourly

Employees with at least 3 years but under 6 years receive $1.00 increase hourly

Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly

Employees with at least 9 years but below 12 years receive $2.00 increase hourly

This information can be expressed as a piecewise function:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

The conditions are outlined in the piecewise function above with x indicating the number of years employed.

6 0
5 days ago
Find the interest for each loan. $252 at 8% for 2 years: ________ $400 at 2% for 6 months:________ $5,000 at 3.5% for 1 year:___
lawyer [4039]

Hello! I'm here to assist you! To calculate interest, we apply the formula prt, which involves multiplying the principal (the amount of money initially), the rate (the interest rate), and the time (typically in years). Here are the results:

$252 at 8% over 2 years yields $40.32
$400 at 2% for a duration of 6 months results in $4
$5,000 at 3.5% for 1 year gives $175
$6,240 at 10% for 9 months amounts to $468

For period calculations, we convert months into decimals: 6 months equals 0.5 years, and 9 months equals 0.75 years. Simply multiply the principal amount by the percentage in decimal form and by the time, and that’s it!

4 0
7 days ago
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