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
Travka [436]
3 years ago
13

The Federal Government is stepping up efforts to reduce average response times of fire departments to fire calls. Nationwide, th

e distribution of average response times to fire calls follows a normal distribution with a mean of 12.8 minutes and a standard deviation of 3.7 minutes. The fastest 20% of fire departments will be singled out for a special safety award. How fast must a fire department be in order to qualify for the special safety award
Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Answer: in order to qualify, the time must be at least 15.93 minutes

Step-by-step explanation:

Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

From the information given,

µ = 12.8 minutes

σ = 3.7 minutes

in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%

The z score corresponding to 80% on the normal distribution table is 0.845

Therefore,

0.845 = (x - 12.8)/3.7

0.845 × 3.7 = x - 12.8

3.13 = x - 12.8

x = 12.8 + 3.13 = 15.93

You might be interested in
You deposit $150 into an account with an interest rate of 3%. After 5 years, how much interest have you earned?
GrogVix [38]

if u earned $150 and had a rate of 3% if u add thise up u get $450 plus the 5 years you will have $950 i thonk that this is the right answer i dont really know

5 0
3 years ago
After buying five coloring books that cost $3 each, Mary had %8.50 left. How much money did she have at first
TiliK225 [7]

Answer:

$23.50

Step-by-step explanation:

$8.50 + $3(5) = $23.50

3 0
3 years ago
Draw and label an example of two parallel lines that are perpendicular to a third line.
lara31 [8.8K]
Euclid used a somewhat different parallel postulate in trying to avoid the notion of the infinite.  He observed that when two parallel lines are intersected by a third line, called a transversal, then if you measure two angles formed by these three lines, on the same side of the transversal and between the parallels, they will add to  (that is, they will be supplementary).  Such angles are called same-side interior angles<span>:</span>

7 0
3 years ago
What is the answer to 31-x=16
vitfil [10]
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 15
5 0
4 years ago
Read 2 more answers
The graphs below have the same shape. What is the equation of the blue graph?
Kisachek [45]

Answer:

Option C. g(x)=(x+5)^{2}

Step-by-step explanation:

we know that

The equation of the parent function f(x) (red graph) is

f(x)=x^{2}

This is a vertical parabola open upward

The vertex is the point (0,0) (the origin)

The function g(x) (blue graph) is a vertical parabola open upward

The vertex is the point (-5,0)

The transformation of f(x) to g(x) has the following rule

f(x) -----> g(x)

(0,0) ----> (-5,0)

(x,y) ----> (x-5,y)

That means----> The transformation is a translation of 5 units at left

therefore

The equation of g(x) is

g(x)=(x+5)^{2}

5 0
3 years ago
Other questions:
  • Each Social Security number (SSN) in the USA consists of 9 digits in the format XXX-XX-XXXX. Due
    13·2 answers
  • A potted tree weighs 28 pounds. The pot weighs 4 pounds more than the tree. How much does the tree weigh without the pot? (Do no
    8·2 answers
  • On the basis of extensive tests, the yield point of a particular type of mild steel-reinforcing bar is known to be normally dist
    14·1 answer
  • If a rubber chicken driving an automaric driven telsa car went to mc donalds to buy nuggets which costed 6000 dollars a nugget a
    9·1 answer
  • If the hypotenuse of a right triangle is 6 inches and the side opposite to equals inches, what is the measure of ?
    11·1 answer
  • PLEASE HELP
    8·2 answers
  • A circular plate has a crack along the line AB, as shown below:
    14·2 answers
  • Is the ordered pair (-3, 16) a solution for y=-3x + 7?
    10·1 answer
  • 83. For what value of K will the points (1, 4), (-3, 16) and (k, -2) lie on one straight line.​
    7·2 answers
  • True or false each triangular face has the same base and height​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!