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
maks197457 [2]
3 years ago
5

The waking time of a student under common conditions is normally distributed with mean of 30 hours and a standard deviation of 5

hours. What value of waking hours is exceeded with 95% probability?
Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0

Answer:

If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 hours

Standard Deviation, σ = 5 hours

We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 30}{5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 30}{5} = 1.645\\\\x = 38.225  

Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

You might be interested in
The population of a city is 250,000 and the annual growth rate is 2.2%. Write an equation to model the population y after x year
Zinaida [17]

Answer:

y= 250000(1.022)^x

Step-by-step explanation:

The population of a city is 250,000 and the annual growth rate is 2.2%

General equation for exponential growth is

y= P(1+r)^x

Where y is final population and P is the initial population

'r' is the rate of growth and x is the number of years

p = 25000 and r= 2.2%= 0.022. Replace all the values in the general equaiton

y= P(1+r)^x

y= 250000(1.022)^x

3 0
3 years ago
What's (6+5i)(6-5i) using the foil method
I am Lyosha [343]

Answer:

Step-by-step explanation:

Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\

8 0
3 years ago
Quadrilateral ABCD is a trapezoid with an area of 20 cm^2 Find the height of the trapezoid, h. Round the answer to the nearest t
sergij07 [2.7K]
Area of <span>trapezoid=(7+3)*h/2=20 cm2
10*h/2=20
5h=20
h=4 

the answer is 4.0 cm</span>
5 0
3 years ago
0.21 times 10 to the power of 6 standard form
skelet666 [1.2K]

Answer:

0.000000210 x 10^{6}=0.21

7 0
3 years ago
The number of triangles formed in a decagon when all the diagonals from ine vertex are drawn is
masya89 [10]
35 number of diagonal and 8 triangles
5 0
4 years ago
Other questions:
  • Bill Casler bought a $8000, 9-month certificate of deposit (CD) that would earn 8% annual simple interest. Three months before t
    15·1 answer
  • Karen opens a savings account with $1500. She deposits $100 every month into the account that has a 0.85% interest rate, compoun
    10·2 answers
  • A river flows due south at 4 mi/h. A swimmer attempting to cross the river heads due east swimming at 2 mi/h relative to the wat
    7·1 answer
  • In the figure below, mZ1 = (x + 24) and m2 2=5x<br> Find the angle measures.
    14·1 answer
  • Is the point 3/5 and 4/5 corresponds to an angle in the unit circle what is the csc
    11·1 answer
  • Given that El bisects ZCEA, which statements must be
    15·1 answer
  • Calculate limits x&gt;-infinity<br> -2x^5-3x+1
    14·1 answer
  • 38) Find the slope of the line containing the points (2, 7) and (-5, -4).
    13·1 answer
  • Please answer 3 a) and 3 b)
    11·1 answer
  • A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by hal
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!