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
Korvikt [17]
3 years ago
11

Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minut

es to commute one-way. If the standard deviation of such commutes is 6.3 minutes, what is the mean commute?
Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

You might be interested in
Can someone help me solve this Please
Dafna1 [17]

9514 1404 393

Answer:

  • 523 grams
  • 52 grams

Step-by-step explanation:

To find the initial amount, put 0 where t is in the formula and do the arithmetic.

  A(0) = 523(1/2)^0 = 523(1) = 523

The initial amount is 523 grams.

__

To find the amount remaining after 100 years, put 100 where t is in the formula and do the arithmetic.

  A(100) = 523(1/2)^(100/30) ≈ 523(0.0992123) ≈ 52

About 52 grams will remain after 100 years.

8 0
3 years ago
Help me i dont really understand
xenn [34]

Answer:

73

Step-by-step explanation:

12(6) + 1/4 • 2^2

Square the 2 first.

12(6) + 1/4 • 4

Then multiply from left to right.

72 + 1

Lastly, add.

73

The parenthesis around the 6 mean multiplication, not the Parenthesis that are grouping symbols if you are learning PEMDAS. So your question has no grouping symbol parenthesis. Next comes Exponents, that's why we squared the 2. Multiply and Divide come next IN THE ORDER THAT THEY APPEAR FROM LEFT TO RIGHT. Then the same method with adding and subtracting. That's called the order of operations.

3 0
2 years ago
Rosie washes clothes for two families the first family pays her $500 more per month than the second. Her total earning per month
disa [49]

Answer:

  • Family 1:  $1.850
  • Family 2: $1.350

Step-by-step explanation:

We know that the total monthly payment is 3200, so if we call Pa (family A`s payment) and Pb (Family B's payment) the payments:

  • Pa+Pb=3200
  • also, Pa = Pb+500

So if we replace Pa in the first ecuation:

  • Pb+500+Pb=3200
  • 2Pb= 3200-500
  • Pb=2700/2= $1.350

then Pa+Pb=3200 => Pa= 3200-1350= $1.850

Good Luck!

8 0
3 years ago
1.Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points.
lianna [129]

Answer:

2.28%

Step-by-step explanation:

Mr. bowens test is normally distributed with a mean (μ) of 75 and a standard deviation (σ) of 3 points.

The z score is used in probability to show how many standard deviation is a raw score below or above the mean. The formula for the z score (z) is given by:

z=\frac{x-\mu}{\sigma}

For a raw score (x) of 81 points, the z score can be calculated by:

z=\frac{x-\mu}{\sigma}=\frac{81-75}{3}=2

Therefore from the normal probability distribution table, the probability that a randomly selected score is greater than 81 can be given as:

P(x > 81) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228 = 2.28%

7 0
3 years ago
6/4=x/18 what is the answer to this question or proportion
kotegsom [21]
The answer is x=27. your welcome. :)
4 0
3 years ago
Read 2 more answers
Other questions:
  • In designing an experiment involving a treatment applied to 4 test subjects, researchers plan to use a simple random sample of 4
    5·1 answer
  • X+y=1<br> x+3y=9<br><br> Solve plzzzzzzzzzzzzzzzzzzzz
    10·1 answer
  • At the beginning of 2002, an ice cream shop claimed to have "nearly 969 different ice cream flavors." Assuming that you could ch
    11·2 answers
  • Find the missing coordinate to complete the ordered-pair solution to the given linear equation: A) y+6x=5 <br>      (a) (-1,?)  
    9·2 answers
  • Can someone please answer this question please answer it quickly I need it please answer it correctly and please please show wor
    7·2 answers
  • Consider a population that grows to the recursive rule Pn= Pn-1 + 50,
    10·1 answer
  • Factor the quadratic expression in the equation y = 2x2 + 8x - 154 and find the zeros of the equation. Then
    9·1 answer
  • Amy graphed a point to represent the absolute value of a number on a number line. If the original number is less than −10, descr
    10·1 answer
  • If 100 grams of water evaporated into a gas, how much mass will the gas have?
    15·1 answer
  • GUYS HELPPPP PLEASE I RLY NEED IT RN, I NEED ANSWER #7 IM DESPERATE RN PLSSS
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!