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
Ket [755]
3 years ago
9

based on a survey of 32 randomly selected employees (anonymously, of course) the company has determined that the average amount

of time spent texting over a one-month period is 173 minutes with a standard deviation of 66 minutes. what is the probability that the average amount of time spent using text messages is more than 199 minutes
Mathematics
1 answer:
kramer3 years ago
6 0

Answer: 0.0129

Step-by-step explanation:

Given : Sample size : n=32

The average amount of time spent texting over a one-month period is  : \mu=173\text{ minutes}

Standard deviation : \sigma=66\text{ minutes}

We assume that the time spent texting over a one-month period is normally distributed.

z-score : z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x=  199

z=\dfrac{199-173}{\dfrac{66}{\sqrt{32}}}\approx2.23

Now by using standard normal table, the probability that the average amount of time spent using text messages is more than 199 minutes will be :-

P(x>199)=P(z>2.23)=1-P(z\leq2.23)\\\\=1- 0.9871262=0.0128738\approx0.0129

Hence, the required probability = 0.0129

You might be interested in
Use the graph of f below. Assume the entire function is graphed below.<br> Find the domain
enot [183]

ANSWER

The domain of the function is

- 3 \leqslant x \leqslant 6

or

[-3,6]

EXPLANATION

The domain of a function refers to the values of x for which the function is defined.

From the graph, we can see that the function begins at (-3,6) and ends at (6,-4).

Therefore the function is defined for x=-3 to x=6.

Hence the domain of the function is

- 3 \leqslant x \leqslant 6

or

[-3,6]

5 0
3 years ago
Please help asap will give brainliest if correct.
professor190 [17]

Answer:

x¹²,8x⁴,6x,2x,1

Step-by-step explanation:

x²×x⁶×x⁴=x¹²

x^4(8) =8x⁴

x^1(6) =6x

x^1(2) =2x

x^0 = 1

3 0
3 years ago
Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t
morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

<u>Now, According to question</u>

mark up percentage = \dfrac{s.p - c.p}{c.p}

I.e 40% =  \dfrac{s.p - 18.10}{18.10}

Or, \dfrac{40}{100} + 1 = \dfrac{s.p}{18.10}

Or, \dfrac{140}{100} =  \dfrac{s.p}{18.10}

Or, s. p = \dfrac{140\times 18.10}{100}

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = \dfrac{\textrm estimated cost}{\textrm estimated total base unit}

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

Now,

Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = \dfrac{\textrm profit}{\textrm estimated cost}

I.e The profit rate% = \dfrac{21.29}{4.05}

∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41  Answer

4 0
3 years ago
5,000 lb equals how many tons
matrenka [14]
5000 pounds is equal to 2.5 tons because 1 ton is equal to 2000 pounds

8 0
3 years ago
Read 2 more answers
What is he value of F(-3)
PolarNik [594]

The correct answer is: " 10 " .

___________________________________________

→ " f(-3) = 10 " .

___________________________________________

Explanation:

___________________________________________


Given:

___________________________________________


f(x) = 7 − x ; if: x ≤ -3 ;


f(x) = x + 4 ; if: x > -3 ;

_________________________________________


Find: " f(-3) " :

_________________________________________


Note:  " f(x) = f(-3) " ;  → " x = - 3 " ;


Since  " x  = -  =3 " ;   →  x is NOT greater than "-3" ;


→ So; " f(x) does NOT equal " x + 4" ;

_________________________________________

Consider our other option given:


We have "x = -3 " .


We our given: If " x ≤ -3 " ; {that is; if "x" is less than or equal to "-3" };


→  then: " f(x) =  7 −  x " .

______________________________________________


Since: " x = - 3 " ;


→ then " x ≤ -3 " ;  and:


→ f(x) = 7 − x  ;


THEN:


→ f(-3) = 7 − (-3) ;  →  Note:  Plug in "-3" for the value(s) of "x" in the equation;

and solve:

→         =  7  +  3 ;    

             =  10 .

___________________________________________________

→  f(-3)  =  10  .


_____________________________________

The answer is:  " 10 " .

_____________________________________

Hope this answer — and explanation — is helpful to you.

Best wishes in your academic pursuits!

_____________________________________

5 0
3 years ago
Other questions:
  • The sum of three consecutive even integers is 126. Let x represent the first integer, x + 2 represent the second integer, and x
    10·2 answers
  • Over the summer, for every 12 okra seeds Dana planted, 7 grew into plants. If he planted 156 okra seeds, how many grew into plan
    13·1 answer
  • Use picture and numbers to show how to add 3+1 in any order
    9·1 answer
  • Jenny wants a total of 12 barbies dolls by the time she is 9 years old. Right now she has 4 barbie dolls. How many more does she
    6·2 answers
  • Mr. King is considering a new job. He and his wife sit down to create a list of their monthly expenses, as shown in the table be
    6·1 answer
  • Blaise’s school is selling tickets to a fall musical. On the first day of ticket sales they sold 8 adult tickets and 3 student t
    11·1 answer
  • Help pleaseeeeeeeee
    9·2 answers
  • Did I do this right? If so, are they congruent or not?
    13·1 answer
  • Find the mode of the data
    10·2 answers
  • Telll me if I’m right please! <br> No links
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!