1answer.
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
Pie
3 years ago
9

A hairstylist schedules 1/4 hour to trim a customer's hair and 1/6 hour to style the customer's hair. The hairstylist plans to w

ork 2 1/3 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each cus LLPtomer must be trimmed and styled? The hairstylist can schedule blank appointments.
Mathematics
1 answer:
inn [45]3 years ago
4 0

Answer:

Step-by-step explanation:

Given:

Hairstylist schedule:

1/4 hour to trim a customer's hair

1/6 hour to style the customer's hair

Work per week:

2 × 1/3 hours per day

= 7/3 hours oer day

5 days a week

Hours in a week = 7/3 × 5

= 35/3 hours per week.

A customer must have hair styled and trimmed.

Total number of hours per customer = 1/4 + 1/6

= 5/12 hours per customer.

Therefore, 28 appointments can be nade each week.

Total number of hours per week = 5/12 × number of customers, n

35/3 = 5/12 n

n = 28 customers per week

You might be interested in
PLEASE help me with this.
alexdok [17]

Answer:

I believe C is the line of best fit because everything is spread out more evenly instead of some being spread out farther than others.

3 0
3 years ago
The life of a red bulb used in a traffic signal can be modeled using an exponential distribution with an average life of 24 mont
BartSMP [9]

Answer:

See steps below

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

If the random variable X is exponentially distributed and X has an average value of 24 month, then its probability density function is

\bf f(x)=\frac{1}{24}e^{-x/24}\;(x\geq 0)

and its cumulative distribution function (CDF) is

\bf P(X\leq t)=\int_{0}^{t} f(x)dx=1-e^{-t/24}

• What is probability that the red bulb will need to be replaced at the first inspection?

The probability that the bulb fails the first year is

\bf P(X\leq 12)=1-e^{-12/24}=1-e^{-0.5}=0.39347

• If the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months?

Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

but B⊂A, so  A∩B = B and  

\bf P(A | B) = P(B)P(B) = (P(B))^2

We have  

\bf P(B)=P(X>18)=1-P(X\leq 18)=1-(1-e^{-18/24})=e^{-3/4}=0.47237

hence,

\bf P(A | B)=(P(B))^2=(0.47237)^2=0.22313

• If the signal has six red bulbs, what is the probability that at least one of them needs replacement at the first inspection? Assume distribution of lifetime of each bulb is independent

If the distribution of lifetime of each bulb is independent, then we have here a binomial distribution of six trials with probability of “success” (one bulb needs replacement at the first inspection) p = 0.39347

Now the probability that exactly k bulbs need replacement is

\bf \binom{6}{k}(0.39347)^k(1-0.39347)^{6-k}

<em>Probability that at least one of them needs replacement at the first inspection = 1- probability that none of them needs replacement at the first inspection. </em>

This means that,

<em>Probability that at least one of them needs replacement at the first inspection =  </em>

\bf 1-\binom{6}{0}(0.39347)^0(1-0.39347)^{6}=1-(0.60653)^6=0.95021

5 0
3 years ago
Simplify the expression. write the answer using scientific notation 4(6.2x10^11)
Veseljchak [2.6K]
Answer:
= 2.48 × 10¹²
(scientific notation)

= 2.48e12
(scientific e notation)

= 2.48 × 10¹²
(engineering notation)
(trillion; prefix tera- (T))

= 2480000000000
<span>(real number)</span>
7 0
3 years ago
Read 2 more answers
(2a^-2)(3a^3b^2)(c^-2)
aalyn [17]

Answer:

Step-by-step explanation:

7 0
3 years ago
The ages of several trees in a neighborhood are shown below: 27 years, 3 years, 2 years, 25 years, 5 years What is the mean age
nata0808 [166]
Mean is equal to sum/ number of values

27+3+2+25+5=62
62/5=12.4

Final answer: D, 12.4 years
5 0
3 years ago
Read 2 more answers
Other questions:
  • Show that 2x^2 + 7x + 7 is positive for all real values of x.<br> PLEASE HELP
    6·1 answer
  • How do i rewrite an expression with a variable using the distributive property?
    15·1 answer
  • Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of f[g(−4)]? (5 points)
    9·1 answer
  • Answer the question below
    6·1 answer
  • Researchers investigated the effectiveness of oral zinc, as compared to a placebo, in reducing the found those taking oral durat
    12·1 answer
  • A rectangular prism is 4 inches long, 6 inches wide, and has a height of 5 inches. What is its volume?
    7·1 answer
  • A rectangle has a height of 7 and a width of a^4+5a^2+4a .
    13·2 answers
  • What is a parabola? pls help because i need this quick.
    14·1 answer
  • barbra has two cherry pies.She cuts each pie into quarters.How many slices of cherry pie does barbra have
    6·1 answer
  • 2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!