An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes. The taxi time has a bell/mound shape distribution. On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time. Round the final answer to 2 decimal places.

Answers

Answer 1

Answer:

The z score for your flight's taxi time is of 2.14.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.

This means that [tex]\mu = 15, \sigma = 1.4[/tex]

On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.

This is Z when [tex]X = 18[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 15}{1.4}[/tex]

[tex]Z = 2.14[/tex]

The z score for your flight's taxi time is of 2.14.

Answer 2

You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.

The z score for our flight's taxi time is approx 2.14286

How to convert a normal distribution variate to standard normal distribution variate?

Suppose you  have got a normal distribution variate with mean  [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have

[tex]X \sim N(\mu, \sigma)[/tex]

To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

For the given case we have:

Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,

[tex]X \sim N(15, 1.4)[/tex]

Converting it to standard variate:

[tex]Z = \dfrac{X - 15}{1.4}[/tex]

Since the observed taxi time was 18 minutes, thus, we have X = 18,

Getting the z score:

[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]

Thus,

The z score for our flight's taxi time is approx 2.14286

Learn more here about normal distribution here:

brainly.com/question/14989264


Related Questions

4/10x 6/4 x 2/3=

Product:


Reduced answer:

Answers

( ( 4 /10 x)(6) /4 x)(2) /3

Product:  2 /5 x^2

Simplified: You can't simply that.

(I hope this is correct, correct me if I'm wrong.)

4) Line L has equation y = 4x - 7, and line M is parallel to line L and passes through the point (2,15). Determine the equation of line M. A) y = 4x + 7 B) y = 2x + 7 ©). y = 4x + 15 D) y = 2x + 15​

Answers

Answer:

the answer is A.y=4x+7

Step-by-step explanation:

Line M is parallel to the line L, so the equation for line M isy=4x+b

Plug in the coordinates of the point (2,15) , you get:

15=4*2+b

Solve that to get b=7

Therefore the equation of line M is y=4x+7

. Find all values of x that will make ∠A an obtuse angle given
m∠A = 12x - 6

Answers

Answer:

(8, 15]

Step-by-step explanation:

If ∠A is bigger than 90 then that means 12x-6 > 90

12x > 96

x > 8

and we know that the angle must be between 0 and 180. so 12x < 186

x <= 15

4/8 on a number line is equivalent to what

Answers

I think the answer is 2/4 sorry if I’m wrong
2/4 is correct, but they are probably looking for 1/2

100 points and brainly please help find vertical and horizontal asymptotes (must show work)
f(x) = 2x2+4/x^2 +5x+6

Answers

Answer:

It would be very hard to graph this equation correctly as without factoring both the numerator and denominator it would be hard to account for all of the information.

x2−5x+6x2−2x−3x−6(x−2)(x−3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Note that you need to use parentheses around the numerator and around the denominator: f(x) = (2x^2+4)/(x^2+5x+6)

Division by zero is undefined, so x≠-2 and x≠-3.

Vertical asymptotes: x=-2, and x=-3

As x approaches ∞, f(x) approaches 2.

As x approaches -∞, f(x) approaches 2.

Horizontal asymptote: y=2

Masha bought 24 snickers, 56 kit kats and 96 twixies to make identical goody bags with the same number of snickers twixies and kit kats. What is the largest number of identical goody bags masha can make if she wants to use all the candies

Answers

Answer:

it is 24

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST AND SO MUCH MORE!!!!
Find the measurement of WOV. Which angle relashionship doyou use?

Answers

Answer:

60 degrees

Step-by-step explanation:

90 digress minus 30 degrees will be 60 degrees

A local park is renting canoes. Canoe rental costs $4.75 per hour. If you want to spend $9.50, how
many more hours (h) can you rent the canoe? *
Help

Answers

Answer:

I would say 2 hours

Jim is planning to take some classes at the community college. Tuition is $110 per credit,
plus $60 in fees. Jim has saved $1050 to take classes. How many credits can Jim afford to
take with the money he saved?

Answers

Make an equation
110x + 60 = 1050
110x = 990
x = 9

Solution: 9 credits

6= w-56/-7 , what is the value of w?

Answers

Answer:

-2

Step-by-step explanation:

6 = w - 56 / -7
w = 14

Just to confirm, I’m reading the right side as a fraction with w - 56 as the numerator and -7 as the denominator.

Multiply both sides by -7:
- 42 = w - 56

Add 56 to both sides:
14 = w

Substitute back in to check:
6 = 14 - 56 / -7
6 = -42 / -7
6 = 6 :)

Find the missing length in the right triangle.

Answers

10 ft because when you add the sides when squared 36+64 = 100 and the square root of that is 10
I’m pretty sure is 10 feet it looks a little bigger than to 8 ft length

Lydia invested $8,300 in an account paying an interest rate of 2.2% compounded
daily. Assuming no deposits or withdrawals are made, how long would it take, to the
nearest tenth of a year, for the value of the account to reach $12,690?

Answers

Number of years taken to reach the amount of $12,690 is 5 days,

What is Compound interest?

Compound interest is the interest which is calculated on both the initial principal and the accumulated interest from previous periods. It can be easily understood as interest on interest.

                              [tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]

Principal amount invested by Lydia = $8,300

Rate of compound interest per day =2.2%

To find the number of years that have taken to reach the amount value of $12,690 .

By using compound interest formula,

[tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]

[tex]12690 = 8300(1+ \frac{2.2}{365})^(365*t)[/tex]

[tex]\frac{12690}{8300}=(1.000060274)^{365*t}[/tex]

Taking log on both sides, we get,

log(1.5289156627) =365*t log(1.000060274)

log(1.5289156627)/log(1.000060274)= 365*t/log(1.000060274)⇒

0.184383 - 0.00002618= 365*t

⇒1843.5 =365*t

⇒t=5 days.

Hence, number of years taken to reach the amount of $12,690 is 5 days,

Learn more about compound interest here:

https://brainly.com/question/3989769

#SPJ1

HELPPOOOPPPPPPPP MEEE

Answers

Answer:

(24x - 48y + 10) / 26 = a

Step-by-step explanation:

-12(-2x+4y) = 26a - 10

24x - 48y = 26a - 10

24x - 48y + 10 = 26a

(24x - 48y + 10) / 26 = a

the question is in the picture, pls help quick

Answers

Answer:

please search it up bc i dont know the answer

Step-by-step explanation:

Aimee can read 24 pages in 40 minutes. How many pages per hour can Aimee read?
A) 0.6 pages per hour
B) 36 pages per hour
C) 48 pages per hour
D) 60 pages per hour

Answers

36 pages per house hope this helps pls brainlest ☺️

plz help me brainlest for first person to answer

Answers

Step-by-step explanation:

Given

Radius (r) = 3 inch

Circumference

= 2πr

= 2 * 3.14 * 3

= 18.84 inch

Now

Area

= π r²

= 3.14 * 3 ²

= 3.14 * 9

= 28.26 inch²

Hope it will help :)

Circumference is found using the formula 2 x pi x radius.
2x3.14xpi is 6.28 pi or approximately 19.73

The sum of three consecutive odd integers is 105.
What is the first integer?

Answers

Answer: how about 105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.

Step-by-step explanation:

A car manufacturer produced 5.000 cars for a limited edition model Dealers sold all of these cars at mean price of $36,000 with a standard deviation of $3,000. Suppose we were to take random samples of 9 of these cars and calculate the sample mean price for each sample. Calculate the mean and standard deviation of the sampling distribution of .

Answers

Answer: Mean = $36,000 and standard deviation = $1000.

Step-by-step explanation:

The mean and the standard deviation of the sampling distribution of the sample mean:

[tex]Mean=\mu\\\\Standard\ deviation = \dfrac{\sigma}{\sqrt{n}}[/tex] , where n =sample size.

Here, we are given

[tex]\mu=\$36000,\ \ \sigma=\$3,000[/tex]

n= 9

Then, the mean and the standard deviation of the sampling distribution of the sample mean:

[tex]Mean=\$36000,\ \ Standard\ deviation=\dfrac{3000}{\sqrt{9}}=\dfrac{3000}{3}=\$1000[/tex]

Hence, Mean = $36,000 and standard deviation = $1000.

Helpppp pleaseeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation: C %100

Answer:

I believe it is d but don't quote me on it

Jamie is flying a kite at the beach. Jamie ties the string to a stake in the ground and
lets out 75 feet of string. If the angle of elevation of the kite is 55 degrees, how high is
the kite from the ground to the nearest foot?

Answers

Answer:

24

Step-by-step explanation:

that is what   thinkof ur answer

Answer:

Height=61 feet

Step-by-step explanation:

Height=sin 55 degrees x 75

Height=0.8192 x 75

Height=61.43

Please help b² + 4
when b = 3

Answers

b^2+4
3^2+4
9+4
Your answer is 13.

Answer:

13

Step-by-step explanation:

replace b with 3 and solve:

3² + 4 = 13

What is sum of the vectors, LeftAngleBracket 4, negative 5 RightAngleBracket and LeftAngleBracket 10, 2 RightAngleBracket?

ANSWER: B
14,-3

Answers

Answer:

14,-3

Step-by-step explanation:

Answer:

14, -3

Step-by-step explanation:

I got it right edg 2023

What is the solution of the equation 13 + b = 37?
b=

Answers

Answer:

13 + 24 = 37 the answer is 24

Step-by-step explanation:

Answer: 24

Step-by-step explanation: 37-13= 24

what is 12 more than m

Answers

What? You’ve got a picture or something?

About how many classmates was Marco able to interview in the beginning of the week

Answers

Not sure maybe 12 or 11

Look at this sequence starting with the FIRST TERM:
(a) 3, 7, 11, 15...
A Geometric
B Arithmetic

What is the rate of change?
(c) The Recursive Equation is:

Answers

Answer:

B.Arithmetic

Step-by-step explanation:

because the terms have a first common difference

the rate of change is 4

1 3/4+1/6+____=7 1/2
Plz help

Answers

Answer:

7/4 +1/6 +X=15/2

1/6+X=15/2-7/4

1/6+X=30/4-7/4

X=23/4 - 1/6

X= 138-4/24

134/24

5.58333

Step-by-step explanation:

Answer:

6 4/12

Step-by-step explanation:

1 3/ 12+ 1/12 + 6 2/12 = 7 6/12 or 7 1/2

Jenna painted l 1/8 of one side of a fence. Mark 3 one the other side of the same sex use greater equal or less to compare of the parts that they painted.

Answers

Answer:

?????

Step-by-step explanation:

# 1 What is the area of the trapezoid
with the following dimensions:
b1= 5 in
b2= 2 in
h= 7in

Answers

Answer:

24.5 inches

Step-by-step explanation:

area of trapezoid: (b1 + b2 /2) h



The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1833 yes votes, what was the total
number of votes?

Answers

Answer: 1,222

Step-by-step explanation:

I would set this up as a fraction

3/2=1833/x

I would divide 1833 by 3 to see what the multiple is that would be used to find the equivalent fraction. Then multiply that number by 2 to solve for x.

Another option is to cross multiply

3x=2(1833)

1833*2=3666

Divide 3x by 3 to get x alone

Divide 3666 by 3 to get answer

1222

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