answer.
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
Mnenie [13.5K]
2 years ago
7

"There are 3 teams of 18 employees working today. Company policy says that we need to have 1 supervisor for every 8 employees on

the floor. There are a few supervisors who are out sick so I hope we have enough." Supervisor: "We need __________ supervisors working tonight so we should be OK."
Mathematics
2 answers:
lesya692 [45]2 years ago
8 0
They need 6 supervisors
alexdok [17]2 years ago
7 0

Answer:

Number of supervisors needed in the company = 7

Step-by-step explanation:

Number of employees working in each team = 18

Number of total teams on the floor = 3

So, total number of employees working on the floor = 3 × 18 = 54

Now, it is given that for every 8 employees the company needs a 1 supervisor

⇒ 8 employees need 1 supervisor

\text{1 employee needs }\frac{1}{8}\text{ supervisors}\\\\\text{So, 54 employees needs }\frac{1}{8}\times 54}=6.75\text{ supervisors}

Since, The number of supervisors cannot be in the form of decimals

⇒ Number of supervisors needed in the company = 7

You might be interested in
A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

\hat{p}=\dfrac{25}{123}\approx0.203252

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

Confidence interval for population :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}

0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0
2 years ago
A tank contains 8000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped into the tank at a rate of 2
OleMash [197]

Answer:

The concentration of salt in the tank approaches 35 \mathrm{g} / \mathrm{L},

Step-by-step explanation:

Data provide in the question:

Water contained in the tank = 8000 L

Salt per litre contained in Brine = 35 g/L

Rate of pumping water into the tank = 25 L/min

Concentration of salt \lim _{t \rightarrow \infty} C(t)=\lim _{t \rightarrow \infty} \frac{35 t}{320+t}

Now,

Dividing both numerator and denominator by t, we have

\lim _{t \rightarrow \infty} \frac{\frac{1}{t} 35 t}{\frac{1}{t}(320+t)}=\lim _{t \rightarrow \infty} \frac{35}{\frac{320}{t}+1}=35

Here,

The concentration of salt in the tank approaches 35 \mathrm{g} / \mathrm{L},

3 0
2 years ago
On a Saturday the library checkout 52 books. If 24 of the books were fiction, what is the ratio of nonfiction books to fiction b
masya89 [10]

52 - 24 = 28

24 : 28 (fiction: nonfiction)

simplify

6 : 7

8 0
2 years ago
Read 2 more answers
In studying the insurance preferences of homeowners the following conclusions are made: A homeowner is three times as likely to
Ede4ka [16]

Answer:

0.632

Step-by-step explanation:

Given that a homeowner is three times as likely to purchase additional jewelry coverage as additional electronics coverage

If probability of purchasing additional electronics coverage = p, then prob of purchasing jewelry coverage = 3p

The two events are independent hence joint probability is product of these two.

i.e. P(both) = p(3p) =3p^2

This is given as 0.2

3p^2 =0.2\\p = 0.258

the probability that a homeowner purchases exactly one coverage.

=P(AUB)-P(A \bigcap B)

= Prob he purchases I + prob he purchases II-2(prob he purchases both)

= 0.258+3(0.258)-2(0.2)\\=0.632

5 0
1 year ago
A furniture company is introducing a new line of lounge chairs next quarter. These are the cost and revenue functions, where x r
QveST [7]

Answer:

No lower than $208, and no higher than $956.8

Step-by-step explanation:

Notice that the revenue (income) function is represented by a quadratic expression (a parabola with branches pointing down), and the cost function is linear with negative slope.

When we plot them, we obtain the graphs shown in the attached image. Notice as well that there are two points of intersection for these two functions. The revenue exceeds (lays above) the cost in between the two points of intersection (marked in red and green).

For the company to make a profit, the revenue has to be larger than the cost, so we study the limiting values for that to happen, which is the points of intersection of these two curves.

The first one (pictured in red) is associated with coordinates (35, 33488) which tells us that is the production of 35 chairs with a revenue of $33,488. That is a cost per chair of $33,488 / 35 = $956.8

The second intersection (pictured in green) is associated with coordinates (125, 26000), which tells us that is the production of 125 chairs with a revenue of $26,000. That is a cost per chair of $26000 / 125 = $ 208

So these values give us the minimum and maximum that the company can charge to make a profit.

6 0
2 years ago
Read 2 more answers
Other questions:
  • 7.5 x 18.74 show your work
    5·1 answer
  • I'm so confused...please help
    8·1 answer
  • 3.7 ÷ 1.1 = ? Round to the nearest hundredth. A. 0.297 B. 3.36 C. 4.07 D. 4.8
    10·1 answer
  • Jenna offers regular haircuts for $25 and haircuts plus coloring for $42.This weekend had a total of 24 clients and Jenna earned
    10·1 answer
  • If a line of one billion people stretched 327,495 miles long, the average shoulder width of the people in the line is A feet. Ro
    9·1 answer
  • Esteban is reading a book with 16 pages. He has read 9 pages so far. How many pages does Esteban have left to read? Write two eq
    8·1 answer
  • BRAINLIEST PLZ HELP A scatter plot with a line is shown below. Graph shows numbers from 0 to 10 at increments of 1 on the x axis
    14·2 answers
  • You paid $36.20 for a sweater that originally cost $90.50. What percentage of the original price was the sweater on sale for?You
    6·1 answer
  • Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope. Math item stem image
    12·1 answer
  • You buy tomato sauce for $0.37 per ounce. One portion of potato gnocchi requires 3.5 ounces of tomato sauce. How much does the s
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!