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
seropon [69]
2 years ago
14

A jewelry artist is selling necklaces at an art fair. It costs $105 to rent a booth at the fair. The cost of materials for each

necklace is $4.50. The artist is selling the necklaces at $12 each.
The inequality 12n > 105 + 4.50n represents the situation in which the artist makes a
profit.

A)Will the artist make profit if she sells 15 necklaces? Show how you know.

B) explain or show your reasoning
Mathematics
1 answer:
Over [174]2 years ago
4 0

Answer:

1.35

Step-by-step explanation:

You might be interested in
Suppose that 4% of the 2 million high school students who take the SAT each year receive special accommodations because of docum
dangina [55]

Answer:

a. 0.0122

b. 0.294

c. 0.2818

d. 30.671%

e. 2.01 hours

Step-by-step explanation:

Given

Let X represents the number of students that receive special accommodation

P(X) = 4%

P(X) = 0.04

Let S = Sample Size = 30

Let Y be a selected numbers of Sample Size

Y ≈ Bin (30,0.04)

a. The probability that 1 candidate received special accommodation

P(Y = 1) = (30,1)

= (0.04)¹ * (1 - 0.04)^(30 - 1)

= 0.04 * 0.96^29

= 0.012244068467946074580191760542164986632531806368667873050624

P(Y=1) = 0.0122 --- Approximated

b. The probability that at least 1 received a special accommodation is given by:

This means P(Y≥1)

But P(Y=0) + P(Y≥1) = 1

P(Y≥1) = 1 - P(Y=0)

Calculating P(Y=0)

P(Y=0) = (0.04)° * (1 - 0.04)^(30 - 0)

= 1 * 0.96^36

= 0.293857643230705789924602253011959679180763352848028953214976

= 0.294 --- Approximated

c.

The probability that at least 2 received a special accommodation is given by:

P (Y≥2) = 1 -P(Y=0) - P(Y=1)

= 0.294 - 0.0122

= 0.2818

d. The probability that the number among the 15 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?

First, we calculate the standard deviation

SD = √npq

n = 15

p = 0.04

q = 1 - 0.04 = 0.96

SD = √(15 * 0.04 * 0.96)

SD = 0.758946638440411

SD = 0.759

Mean =np = 15 * 0.04 = 0.6

The interval that is two standard deviations away from .6 is [0, 2.55] which means that we want the probability that either 0, 1 , or 2 students among the 20 students received a special accommodation.

P(Y≤2)

P(0) + P(1) + P(2)

=.

P(0) + P(1) = 0.0122 + 0.294

Calculating P(2)

P(2) = (0.04)² * (1 - 0.04)^(30 - 2(

P(2) = 0.00051

So,

P(0) +P(1) + P(2). = 0.0122 + 0.294 + 0.00051

= 0.30671

Thus it 30.671% probable that 0, 1, or 2 students received accommodation.

e.

The expected value from d) is .6

The average time is [.6(4.5) + 19.2(3)]/30 = 2.01 hours

8 0
2 years ago
Multiple-choice questions have a special grading rule determined by your instructor. Assume that your instructor has decided to
Daniel [21]

Answer:

  1/4 of the credit

Step-by-step explanation:

The problem statement tells you n=5. Putting that into the expression for lost credit, you get ...

  1/(5-1) = 1/4

of the credit is lost for a question with 1 wrong answer.

You will lose 1/4 of the credit.

6 0
2 years ago
Read 2 more answers
The minimum of the graph of a quadratic function is located at (-1,2) . the point (2,20) is also shown on the parabola . which f
Gekata [30.6K]
The complete question in the attached figure

we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex   --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2

point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2

the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2

therefore

the answer is the option
<span>C) f(x) = 2(x + 1)2 + 2</span>

4 0
2 years ago
Read 2 more answers
Solve 16(3x-5) -10(4x-8) = 40
Mashcka [7]

Answer:

x = 5

Step-by-step explanation:

<u>Step 1: Multiply out the brackets</u>

48x - 80 - 40x + 80 = 40 → <em>negative + negative = positive [-10 x -8]</em>

<u>Step 2: Simplify</u>                          

8x = 40 →<em> collect like terms</em>

<u>Step 3: Solve</u>

x = \frac{40}{8}

x = 5

3 0
2 years ago
Read 2 more answers
Factor completely.<br> ​ <br> 18b−32<br> ​<br> Enter your answer in the boxes.<br><br> ___(___)
Kamila [148]
To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.

18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)
5 0
2 years ago
Read 2 more answers
Other questions:
  • Simplify 0.2(3b-15c)+6c
    11·2 answers
  • if Amanda hikes at an average speed of 2.72 miles per hour, how long will it take her to hike 6.8 miles
    11·2 answers
  • You put some money in a bank account one year ago. you have not done anything with it since. the bank takes out a low balance fe
    15·1 answer
  • Jon wants to put a circular decorative glass in a table. He cuts a hole in the table that is 20in in diameter. He uses a thin me
    13·1 answer
  • Two brothers build a pyramid-shaped fort. If the fort is 8 feet wide at its base, what expression could be used to calculate the
    15·2 answers
  • A regional director responsible for business development in the state of Pennsylvania is concerned about the number of small bus
    8·1 answer
  • Solve it every process
    9·1 answer
  • The function y = square root sign x is translated using the rule (x, y) → (x – 7, y + 2)to create f(x). What is the domain of f(
    11·2 answers
  • The number 2^1993 + 3^1993 is a multiple of 5. What is the units digit of the quotient (2^1993 + 3^1993)/5?
    14·1 answer
  • Jenna’s method: Mia’s method: 5(30 + 4) 5(30 + 4) (5)(30) + (5)(4) 5(34) = 170 150 + 20 = 170 Explain why both Jenna and Mia arr
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!