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cupoosta [38]
2 years ago
9

Joanna, the line manager at Smedley Electronics, works 14 hours a week more than her line workers and gets paid $6.50 more per h

our. Line workers work h hours per week and get paid d dollars per hour. How do you write an expression for how much a line worker gets paid each week and how much Joanna gets paid each week? And if the line workers get paid $576 for a 36 hour week, how much does Joanna get paid per week?
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
5 0
Given:
Joanna :
works 14 hrs a week more than her line workers.
gets paid 6.50 more per hour than her line workers.

Line workers: h = hours per week ; d = dollars per hour.

Line worker = Dollar per hour * number of hours.
Joanna = (Dollar per hour + 6.50)(number of hours + 14 hours)

Line worker:
$576 = d * 36 hours
$576/36 = d
$16 = d    hourly rate of line worker.

Joanna:
$16 + 6.50 = $22.50 hourly rate
36hrs + 14hrs = 50 hours per week.

Weekly pay of Joanna: $22.50 * 50 = $1,125
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Step-by-step explanation:

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2 years ago
Orange M&M’s: The M&M’s web site says that 20% of milk chocolate M&M’s are orange. Let’s assume this is true and set
SOVA2 [1]

Answer:

The correct option is (A).

Step-by-step explanation:

Let <em>X</em> = number of orange  milk chocolate M&M’s.

The proportion of orange milk chocolate M&M’s is, <em>p</em> = 0.20.

The number of candies in a small bag of milk chocolate M&M’s is, <em>n</em> = 55.

The event of an milk chocolate M&M being orange is independent of the other candies.

The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 55 and <em>p</em> = 0.20.

The expected value of a Binomial random variable is:

E(X)=np

Compute the expected number of orange  milk chocolate M&M’s in a bag of 55 candies as follows:

E(X)=np

         =55\times 0.20\\=11

It is provided that in a randomly selected bag of milk chocolate M&M's there were 14 orange ones, i.e. the proportion of orange milk chocolate M&M's in a random bag was 25.5%.

This proportion is not surprising.

This is because the average number of orange milk chocolate M&M’s in a bag of 55 candies is expected to be 11. So, if a bag has 14 orange milk chocolate M&M’s it is not unusual at all.

All unusual events have a very low probability, i.e. less than 0.05.

Compute the probability of P (X ≥ 14) as follows:

P(X\geq 14)=\sum\limits^{55}_{x=14}{{55\choose x}0.20^{x}(1-0.20)^{55-x}}

                 =0.1968

The probability of having 14 or more orange candies in a bag of milk chocolate M&M’s is 0.1968.

This probability is quite larger than 0.05.

Thus, the correct option is (A).

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2 years ago
Ten people, including Fred, are in the Jazz Club. They decide to form a 3-person steering committee. How many possible committee
Anastasy [175]

Answer:

30

Step-by-step explanation:

7 0
2 years ago
1. Kim works as a book keeper and creates invoices for a variety of companies. Help Kim find the total
Zanzabum

This is about calculation of invoice.

<u><em>1) Total for the invoice = $2641.25</em></u>

<u><em>2) Total for the invoice = $30</em></u>

<u><em>3) Total for the invoice = $1925</em></u>

<u><em /></u>

  • 1) 12 cameras for $200 each

Amount for cameras = 12 × 200 = $2400

25 cables with length of 10 ft each cost $1.25

Amount for 10 ft cables = 25 × 1.25 = $31.25

12 ft specialty cables cost $1.75 per foot

10 of these cables will have length =12 × 10 = 120 ft

Amount for 10 of these cables = 1.75 × 120 = $210

Total for the Invoice = $2400 + $31.25 + $210

Total for the invoice = $2641.25

  • 2) 250 yards of rope costs $500.

Thus, price per yard = 500/250 = $2 per yard

For a customer that wants 15 yard;

Total for the invoice = 15 × $2 = $30

  • 3) Dump truck is rented for $275 per hour. And the minimum is 2 hours per day. This means that anything less than 1 hour, the money paid must be money for 2 hours.

Thus;

On monday; 1 hour will cost; 2 × $275 = $550

On Tuesday; 3 hours will cost; 3 × $275 = $825

On wednesday; 2hours will cost; 2 × $275 = $550

Total for the invoice = 550 + 825 + 550 = $1925

Read more at; brainly.com/question/17745127

8 0
1 year ago
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need a
saveliy_v [14]

Answer:

Sofia will order 7 more rolls of sushi (84 pieces) and pay $56

Step-by-step explanation:

They need at least 100 pieces of sushi

Sofia had ordered and paid for 24 pieces of sushi already

Sushi comes in rolls

Each roll=12 pieces at $8

R=additional rolls that Sofia orders

Additional sushi= Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

Each roll has 12 pieces

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Sofia has to order in rolls

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If Sofia orders 84 pieces + the already ordered 24 pieces

Total pieces=108 pieces

She has paid for 24 pieces (3 rolls) at $8 per roll

7 rolls=$8*7

=$56

7 0
2 years ago
Read 2 more answers
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