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
Sveta_85 [38]
3 years ago
12

The times a fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a

standard deviation of 1 minute. For about what percent of emergencies does the fire department arrive at the scene in between 4 minutes and 8 minutes ?
Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Answer:

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%

You might be interested in
Is this a function what is the domain and what is the range of this graph
Law Incorporation [45]

Answer:

Step-by-step explanation:

4[5]

4 0
3 years ago
Saved
nadezda [96]
The answer is 3 because the mean of the numbers on both of them are 3
Hope it helped:)

4 0
3 years ago
find the measure of angle A using your correct answer from questions 1 2 or 3 A 45 B 36.9 C 53.1 D 35.2​
Delicious77 [7]

Answer:

about 37, so probably B

Step-by-step explanation:

tg a = 3/4

tg a = 0.75

5 0
2 years ago
Manny ordered 16 skateboard wheels. If he sold 4 wheels to Brad, how many skate boards can he put wheels on if each board 4 whee
alexgriva [62]
It would be 3 cuz 16-4 =12  divide by 4 is 3
8 0
3 years ago
Read 2 more answers
Help pleaseeee due at 4:00
Archy [21]

Answer:

the total cost would be $15,900

Step-by-step explanation:

<em>hope this helped &  good luck <33</em>

5 0
3 years ago
Other questions:
  • A square has an area of 110 square units. What is the approximate length of each side
    7·1 answer
  • Laura is 6 feet tall how tall is she in inches
    6·2 answers
  • 3/8 to 7/8 percent of change?
    10·1 answer
  • The value of y varies directly with x2, and y = 64 when x = 4. What is the value of y when x = 6?
    12·1 answer
  • Look at the image attached:
    9·1 answer
  • The greater of two numbers is 3 times the smaller.<br> Their sum is 44. Find the numbers.
    6·2 answers
  • i need help now, The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
    5·2 answers
  • The baseball team has a double-header on Saturday. The probability that they will win both games is 34%. The probability that th
    15·1 answer
  • Malachi has sticks that represent 4 different segment lengths: 3 inches, 4 inches, 5 inches, and 6 inches.
    11·1 answer
  • Joey is twenty years younger than Becky in two years time Becky will be twice as old as Joey
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!