Did you hear about the pig that built himself a home ?

This? year, donnelly,? inc., will produce 60 comma 00060,000 hot water heaters at its plant in? delaware, in order to meet expec

juin [17]

Summary of problem.
annual production = 60000 units
work hours per worker = 200*12=2400 hours
productivity = 0.15 unit / person-hour
Need to calculate the number of workers/persons employed.

Each unit requires 1 unit / 0.15 unit/person-hour
= 1/0.15 person-hours / unit

60000 unit requires 60000 units * 1/0.15 person-hours/unit
= 400000 person-hours

400000 person-hours requires 400000 person-hours /2400 hours = 166.7 persons
=>
The plant has 167 labourers (assuming perfect attendance).

4 0

3 years ago

Micah needs $18,500 to purchase a boat. How much money will he need to invest today in a savings account earning 3.2% interest,

charle [14.2K]

We have that every quarter, he will get an 0.8% interest rate. We also have that there will be 14*4=56 periods of repayment. We have that by the formula, if there are n periods and x% is the interest rate, the capital is multiplied by (100+x%)^n.
Suppose Micah invests x money. Then, we have that after 14 years, the capital available will be C= $x*(1.008)^{56}=x*1.562$ . We have that C=18500$ and hence that 18500=x*1.562. Thus, solving for x we have that x=11841$.
Micah will need to invest only 11841$ in order to pay for his boat; this shows the importance of saving since he earns a lot of money, around 7k $.

6 0

3 years ago

Learning the basics 6.23 suppose you select one value from a uniform distribution with a=0and b=10.what is the probability that

IgorC [24]

The area under the graph of the continuous uniform distribution is 1.
a. The probability that the value will be between 5 and 7 is the area between 5 and 7.
$P(5 \ \textless \ x \ \textless \ 7) = \frac{2}{10} = \frac{1}{5}$
b. The probability that the value will be between 2 and 3 is the are between 2 and 3.
$P(2 \ \textless \ x \ \textless \ 3)=\frac{1}{10}$
c. The mean is given by:
$\mu=\frac{a+b}{2}=\frac{0+10}{2}=5$
d. The variance is given by:
$\sigma^2}=\frac{1}{12}(b-a)^{2}=\frac{1}{12}(10)^{2}=8.3333$
The standard deviation is:
$\sqrt{\sigma} = \sqrt{8.3333} =2.887$

5 0

3 years ago

Are the lines y = –x – 4 and 5x -5y = 20 perpendicular? Explain.

Zarrin [17]

Answer:

yes

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 4 ← is in slope- intercept form

with slope m = - 1

5x - 5y = 20 ( subtract 5x from both sides )

- 5y = - 5x + 20 ( divide all terms by - 5 )

y = x - 4 ← in slope- intercept form

with slope m = 1

Thus product of their slopes is - 1 × 1 = - 1

Therefore the lines are perpendicular

7 0

2 years ago

Aron wrote the function f(x)=25x-15 find the amount of money he would make after washing x cars. Select all of the values below

hram777 [196]

Answer:

A.. 2

C.. 5

E.. 10

Step-by-step explanation:

If x represents the number of cars that wash Aron, then the domain of x must contain only integers and positive numbers (natural numbers)

This, because Aron can not wash -3 cars, it would be absurd then for x to be a negative number.

In the same way Aron can not wash 1.29 cars. Or washed 1 car or washed 2, it is not consistent in this case to say that washed a car and a half, for example.

Therefore the correct answer is the options.

A.. 2

C.. 5

E.. 10

4 0

3 years ago