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
vagabundo [1.1K]
3 years ago
10

Please help look at the question in image

Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0

Answer:

In part 1, the value for D is given. Putting D as 1 gives us the answer 17/20

In part 2, the value of E is given as 1, putting E as 1 gives us D = 20/17

You might be interested in
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.9 minutes and a standard deviation of 2.9
Eva8 [605]

Answer:

a) 0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

b) 0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes

c) 0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.9 minutes and a standard deviation of 2.9 minutes.

This means that \mu = 8.9, \sigma = 2.9

Sample of 37:

This means that n = 37, s = \frac{2.9}{\sqrt{37}}

(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?

320/37 = 8.64865

Sample mean below 8.64865, which is the p-value of Z when X = 8.64865. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{8.64865 - 8.9}{\frac{2.9}{\sqrt{37}}}

Z = -0.53

Z = -0.53 has a p-value of 0.2981

0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?

275/37 = 7.4324

Sample mean above 7.4324, which is 1 subtracted by the p-value of Z when X = 7.4324. So

Z = \frac{X - \mu}{s}

Z = \frac{7.4324 - 8.9}{\frac{2.9}{\sqrt{37}}}

Z = -3.08

Z = -3.08 has a p-value of 0.001

1 - 0.001 = 0.999

0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.

(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes?

Sample mean between 7.4324 minutes and 8.64865 minutes, which is the p-value of Z when X = 8.64865 subtracted by the p-value of Z when X = 7.4324. So

0.2981 - 0.0010 = 0.2971

0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

7 0
2 years ago
A bread recipe calls for 5 1/2 cups of white flour and 1 1/4 cups of rye flour. How much more of white flour than rye flour is n
stiks02 [169]

white= 22/4

rye= 11/4

22-11=11

11/4= 2 3/4 more cups of white flour then rye

6 0
3 years ago
Read 2 more answers
In a given binomial distribution, there are 625 trials, and the probability of success is p =0.29. What is the variance?
Shkiper50 [21]

Answer:

128.69.

Step-by-step explanation:

The variance is np(1 - p)

= 625*(0.28) * 0.71

= 128.69.

3 0
3 years ago
Which is not a solution m-8≤2
Charra [1.4K]

The answer is e because all of the other answers are less than or equal to 2. Hope this helps.

5 0
3 years ago
A line's slope is 1/5 the y-intercept is 5. What is the equation in slope-intercept form?
damaskus [11]

Answer: y = 1/5x+5

Step-by-step explanation: Slope intercept form is y = mx+b, where m is the slope, and b is the y intercept. Substitute accordingly.

7 0
2 years ago
Other questions:
  • Jarods house is 17 miles from the soccer field there are 5,280 how many feet from the soccer field is jarods house
    12·1 answer
  • Write this number in expanded form 382,706
    10·2 answers
  • An Olympic archer is able to hit the bull’s-eye 80% of the time. Assume each shot is independent of the others. If she shoots 6
    12·1 answer
  • Hey guys! Leave the answer in terms of pi :)
    13·1 answer
  • PLEASE HELP ITS TIMEDDDD
    13·1 answer
  • For every $20 that Danika saves, her grandmother gives her $30. If Danika saves $150, how much money will her grandmother give h
    8·2 answers
  • CAN SOMEONE HELP PLZZZZ ALGEBRA
    12·2 answers
  • Which is the following is a source of income
    14·1 answer
  • Justin is on a road trip. Over the past 2 days, he has driven a total distance of 715 miles at an average speed of 65 miles per
    7·1 answer
  • Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!