Response time is an important statistic for measuring the effectiveness of a fire department, and is measured as the difference between the time a fire station receives a call and the time the first piece of fire equipment leaves the station. The response times for fire departments in a large city are found to have an approximately Normal distribution, with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What percentage of fire station response times are under 3 minutes? Find the z-table here. 6.68% 10.56% 89.44% 93.32%

Answers

Answer 1

Answer:

mean = 4.5

SD = 1.2

Z value = (3-4.5)/1.2 = - 1.25

Percentage based on z value = 1 - pnorm(1.25) =  0.1056498 = 10.56498%

Answer 2

The response times under 3 minutes is 10.56%

What is Normal Distribution?

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

mean = 4.5

SD = 1.2

Z value = [tex]\frac{3 - 4.5}{1.2}[/tex] = - 1.25

Percentage based on z value = 1 - pnorm(1.25)

                                                 =  0.1056498

                                                 = 10.56498%

Hence, we can conclude that the response time of fire station under 3 minutes is 10.56%.

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Related Questions

Can someone please help me on these? Please explain. Thank you.

Answers

Answer:

It might be 109 degrees

Step-by-step explanation:

Point J: 48 degrees

Point H: 23 degrees

Point F: 109 degrees

109 + 48 + 23 = 108 degrees

Two increased by five times a number is twenty two
What is the equation

Answers

Answer:

2 + 5 x a = 22

Step-by-step explanation:

Simplify Exponents and Roots

Answers

The answer is A: 2 square root 2.

PLEASE HELP RELATIONSHIPS IN TRIANGLES

Answers

Answer

TN=22

Step-by-step explanation:

You know that MT+TP+TN using the Orthocenter thereom.

A rock is launched from a cannon. Its height, h(x), can be represented by a
quadratic function in terms of time, x, in
seconds.

After 1 second, the rock is 94 feet in the
air; after 2 seconds, it is 176 feet in the
air.

Complete the height function, h(x), for this situation

h(x) =

Answers

Answer:

The height, in feet, of the rock after 5 seconds = 875 feet

Step-by-step explanation:

0.5 + (-1.5) - (-5.5) =

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

0.5 + ( -1.5 ) = -1

-1 - (-5.5) = 4.5

Hopefully this helped you. :)

sir 柴米米米米 Read: Marley is buying ribbon to make bows. She buys 123 inches of green ribbon She buys 97 inches of plaid ribbon. She buys 237 inches of polka-dot ribbon. Lastly, sh buys 104.5 inches of red ribbon. How many inches of ribbon does Marley buy? ​

Answers

Answer:

561.5 inches

Step-by-step explanation:

You just add all the four numbers together

123+97+237+104.5=561.5

Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.

Answers

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. Which equation can you use to find the regular cost, c, of each chair? ( ANSWERS 6c - 55 = 455, 55(c - 6) = 455, 55c - 6 = 455, 6(c - 55) = 455,) What is the regular cost of the chair

Answers

The equation used to model the regular cost of each chair at Maplewood Furniture store is given by 6c - 55 = 455

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let c represent the regular cost for x chairs. Hence:

c = mx + b

Given that a discount of $55 is applied to the total, hence, b = -55.

Rhianna buys a set of 6 chairs and pays 455, hence:

6c - 55 = 455

6c = 510

c = 85

The equation is given by 6c - 55 = 455 and the regular cost of each chair is $85

Find out more at: https://brainly.com/question/25737132

plz help verbal expression ​

Answers

Answer:

3(9+r) = 27 + 3r

Sum = addition

Distributive property

In the figure, what would be represented by c^2

A the sum of the lengths of legs a + b

B the area of the rectangle with diagonal

c the length of the hypotenuse of the triangle

D the area of a square constructed on the hypotenuse

Answers

Answer:

D

Step-by-step explanation:

We can go through each answer to see if it's right

A

In a right triangle, with c opposite the right angle, we know that

a²+b² = c²

The answer is stating that a+b = c². Unless both a and b are either 0 or 1, this is incorrect

B

The area of a rectangle is equal to length * width, or in this case, a* b. Compare this with our equation of

a²+b² = c² and this is incorrect

C

The hypotenuse, or the side opposite the right angle, is c. The answer is stating that c = c². This is incorrect unless c = 1 or c = 0

D

The square constructed on the hypotenuse would have a side length of c. The area of a square is length², or in this case, c². c² = c² so this is correct

Write 110% as a mixed number in simplest form

Answers

Answer:

1 1/10

Step-by-step explanation:

110% = 110/100 = 11/10 = 1 1/10

Identify If the gas pressure in a ball is low,

how will it affect the physical properties of

the ball?


HELP PLS!!

Answers

Answer: i hope it was helpful

Step-by-step explanation:

The ball will appear normal or fully blown up with air. It will bounce like a normal ball that is inflated well. The ball will appear deformed and deflated.

39. Which ordered pair is a solution to the
equation y=-6x? (MAFS.912.A-
REI.4.10)
a. (12,-2)
b.(3,-9)
C. (-10, 60)
d. (18,-3)

Answers

Answer:

Its letter A. (12, -2)

Step-by-step explanation:

tom measured his frisbee from the center to the outside and found it to be 6 inches what is the approximate circumference of tom frisbee

Answers

Answer: 37.68 inches

A frisbee is round so its a circle. And the formula of circumference of a circle is 2πr (r = 6 inches and π = 3.14)

So, 2πr = 2 * 3.14 * 6

2πr = 37.68 inches

What is 6.995 to a decimal, fraction, and percent?

Answers

Answer:

1399/200 699.5%

Step-by-step explanation:

1. 6.995 is already a decimal.

2. As a fraction it is [tex]\frac{1399}{200}[/tex] and as an improper fraction it would be 6  [tex]\frac{199}{200}[/tex].

3. As a percent it would be 669.5%.

Carl sold 32 sodas for $114 Medium sodas cost $300 and large sodas
cost $4.00 How many sodas of each size were sold?

Answers

Answer:

14 - medium sodas and 18 - large sodas

Step-by-step explanation:

x+y = 32 (the amount of medium and large sodas add up to 32)

3.00x + 4.00y = 114 (the cost of each soda = the amount of money made)

x = 32-y (isolate x and subsitiue it into the following equation)

3x+4y=114 --> 3(32-y) + 4y = 114

96 - 3y + 4y = 114

y=18

plug in 18 in to this equation x = 32-18, x=14

What is the slope of y = 4 – 2x
?

Answers

Answer:

m = -2

Step-by-step explanation:

Use the slope intercept formula y = mx + b

You would switch the order to get y = -2x + 4 to get it in the correct format.

You can then see that -2 is the slope based off the slope intercept formula

(b = y intercept)

(m = slope)

can someone help me please​

Answers

Answer:

1)B 4 x 4 x 4 x 4

2)B 8292

Step-by-step explanation:

Big Sam, an engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the station and had to continue the trip at three-fifths of the former speed, which brought us in two hours late. If the accident had occurred fifty miles father on, the train would have arrived forty minutes sooner". Based on Sam's description, how long was the run between the two train stations?
A. 150 miles
B. 200 miles
C. 250 miles
D. 300 miles

Answers

Answer is B. 200 miles

{(y/50)+2} hour=y/30 hour gives y=150 miles. Since, the train already had covered 50 miles at full-speed before the cylinder blew, so the run between the stations was 50+150=200 miles.

Answer:

Ig 200 miles

Step-by-step explanation:

I am guessing

In a game, 2 players each flip a coin. I fboth land on heads, player A gets 2 points and player Bioses 1 points. Ifboth land on tails, player B gets 2 points and player A loses 1 point. Find the expected value of the game for each player.

Answers

Building a probability distribution, it is found that the expected value for both players is of 0.25 points.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, the four possible outcomes, considering Player A - Player B, are:

H - H

T - H

H - T

T - T

That is, considering a success as the number of heads, the distribution is:

[tex]P(X = 0) = 0.25[/tex]

[tex]P(X = 1) = 0.5[/tex]

[tex]P(X = 2) = 0.25[/tex]

For Player A, the earnings of each outcome are: -1, 0 and 2

Hence, the expected value is:

[tex]E_A(x) = -1(0.25) + 0(0.5) + 2(0.25) = 0.25[/tex]

For Player B, the earning of each outcome are: 2, 0 and -1.

Hence:

[tex]E_B(x) = 2(0.25) + 0(0.5) - 1(0.25) = 0.25[/tex]

The expected value for both players is of 0.25 points.

You can learn about expected value at https://brainly.com/question/24855677

Is the point (-2, 5) a solution to the equation 2x + 5y = 0?

Answers

Answer:

No

Step-by-step explanation:

substitute -2 for 'x' and 5 for 'y'

2(-2) + 5(5) = 0?

-4 + 25 = 21, not 0

Need help asap! Pls

Answers

Here is my solution, I hope it is helpful.

Answer:

x = 15

Step-by-step explanation:

please help :,)) an explained answer would be nice but if not that's ok :)

Answers

Answer:

3.75

Step-by-step explanation:

First we need to get the numbers into decimal form

3/4 can be written into 75

So the mittens weighed 2.75

So we subtract 6.5 and 2.75

Which is 3.75

So the mitten gained 3.75 pounds

Hope this helps!

Answer:

3.75

Step-by-step explanation:

Subtract to find the difference

2 3/4 is 2.75 as a decimal

6.5 - 2.75 = 3.75

Check the answer

2.75 + 3.75 = 6.5

So u can see Mittens gained 3.75 pounds between the time he was a kitten and his 6-month check up.

pretty sure this is a joke question about south park my teacher put on my test but i dont watch south park
the question is

TRUE or FALSE
if you ever come across a physican named dr. doctor RUN!

Answers

Answer: true you should run

TRUEEEE DEFINITELY RUN

Multiply.
[−3⋅914]⋅[(−0.1)⋅(−28)]
What is the product?

Answers

Answer:

x=5.3984

Step-by-step explanation:

A video is getting 150000 views every 3 days how long will it take to reach 400000 views?

Answers

Answer:

It will take 8 days.

Step-by-step explanation:

Find the unit rate;

150000/3 = 50000

4000000/50000=8

8 days.

Hope this helps.

(✿◡‿◡)

Ok done. Thank to me:>

Emily borrows £580 from a bank at an interest rate of 896 per year.
She will give the money back after 4 years.
How much money will Emily have to pay back?

Answers

Answer: £4,164

Step-by-step explanation: multiply 896 by 4 to get £3,584 next add 580 to 3,584 to get £4,164

Answer: 4,164

Step-by-step explanation: I am confused if the 896 is a percent or the money she owes every year, now here is the explanation.

Emily took the £580 and after the 4 years she owes 896*4 = £3,584 plus the original £580 which is £4,164

If it it without the original £580 then the answer is 896*4 = £3,584

If that is not correct then i am sorry

can someone drop the awnser please

Answers

Answer:

b

Step-by-step explanation:

Answer: if you can choose multiple its c and d, otherwise i would just use c

Step-by-step explanation:

Explain the step by step process of finding a function for a hyperbola given the center (1,4), vertices (-7,4) and (9,4), and a point on the hyperbola at (-11, -6). Make sure to include the location of the foci.

NO LINKS!! ​

Answers

Answer:

(x -1)²/64 -(y -4)²/80 = 1foci (-11, 4) and (13, 4)

Step-by-step explanation:

The standard form of a hyperbola whose transverse axis is horizontal is ...

  (x -h)²/a² -(y -k)²/b² = 1 . . . . center (h, k); transverse axis 2a; conjugate axis 2b

The distance between the two vertices is given as (9 -(-7)) = 16 = 2a, so the value of a is 8 and we have the partial equation ...

  (x -1)²/8² -(y -4)²/b² = 1

Filling in the given point value gives us an equation for b².

  (-11 -1)²/8² -(-6 -4)²/b² = 1

  9/4 -100/b² = 1

  5/4 = 100/b²

  b² = 80

So, the equation is ...

  (x -1)²/64 +(y -4)²/80 = 1

__

The distance between the foci is 2c, where c² = a² +b².

  c² = 64 +80 = 144 = 12²

  c = 12, so the foci are at ...

  (x, y) = (1 ±12, 4) . . . . . . . 12 units either side of the center

The foci are (-11, 4) and (13, 4).

_____

Additional comment

The steps are ...

use the given information to fill in as much of the equation as you can.use any given points or additional information to find the unknown values in the equationdetermine any additional information asked for (foci, asymptotes, ...)

The relevant relations are ...

  2a = length of transverse axis (distance between vertices)

  2b = length of conjugate axis (distance between co-vertices)

  ±b/a = slope of asymptotes, which are lines through the center

  2c = distance between foci, where c² = a² +b²

The equation is (x -h)²/a² -(y -k)²/b² = 1 for a hyperbola that opens horizontally with center (h, k). Swapping variables x and y will give a hyperbola that opens vertically. If the figure opens vertically, the asymptotes will have slope ±a/b.

The distances from a point to the foci have a constant difference of 2a.

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