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
Murrr4er [49]
3 years ago
8

The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is about 66 mm ("Annual maximums of,"

2013). Assume rainfall is normally distributed. How many yearly mm of rainfall would there be in the top 15%? Round answer to 2 decimal places.
Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

At least 202.44 mm in the top 15%.

Step-by-step explanation:

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

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 134, \sigma = 66

How many yearly mm of rainfall would there be in the top 15%?

At least X mm.

X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

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

1.037 = \frac{X - 134}{66}

X - 134 = 66*1.037

X = 202.44

At least 202.44 mm in the top 15%.

You might be interested in
Plz help me well mark brainliest if you are correct!!
LuckyWell [14K]

Answer:

4 units

Step-by-step explanation:

Distance like magnitude is simply a positive value

----------------------------

Since the y coordinate is the same

the distance is just the difference in the x coordinates

from -5 to -1 is a distance of 4

8 0
2 years ago
NEED HELP ASAP
Viefleur [7K]

Answer:

2625 cubic meters

Step-by-step explanation:

the volume of a rectangle is V = length x width x height (depth in this case)

so, 50m x 30m x 1.75m = 2625m^3

7 0
2 years ago
Read 2 more answers
Es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has
Troyanec [42]

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer

Step-by-step explanation:

In a regular n-side polygon:

  • All sides are equal in lengths
  • All angles are equal in measure
  • The measure of each interior angle = \frac{(n-2)*180}{n}
  • The measure of each exterior angle = \frac{360}{n}
  • The sum of interior angle and exterior angle at a vertex is 180°

∵ The measure of an interior angle of a regular polygon is 120°

∵ The sum of interior angle and exterior angle at a vertex = 180°

∴ The measure of each exterior angle = 180 - 120

∴ The measure of each exterior angle = 60°

∵ The measure of each exterior angle = \frac{360}{n}

- Substitute the measure of the exterior angle by 60

∴ 60=\frac{360}{n}

- By using cross multiplication

∴ 60 n = 360

- Divide both sides by 60

∴ n = 6

∴ The polygon has 6 sides

The measure of each exterior angle is 60° and the polygon has 6 sides

Learn more:

You can learn more about polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0
3 years ago
Congruent definition
Yuliya22 [10]
When they are the exact same, like carbon copies
3 0
1 year ago
Read 2 more answers
The graph shows the number of cases of bottles of water and the total number of bottles of water.
faltersainse [42]

Answer:

b = 24c

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • The first term of a geometric series is a/b^2, and the common ratio is b/a^2. Find the next five terms of the geometric sequence
    7·2 answers
  • summarize how to rewrite a rational power- where a number is raised to a rational exponent, as a radical term.
    5·1 answer
  • Which of the following represents the factorization of the polynomial below?<br> 2x2 +11x +5
    6·1 answer
  • Which expression is equal to 9
    12·1 answer
  • URGENT!!!!
    9·1 answer
  • 2) How many y pieces are in 6/12?
    5·1 answer
  • Help me!! grade due tonight :(
    10·1 answer
  • Christopher's parents want to be sure he continues to read over the summer break. They made him a deal that for every 7 minutes
    15·1 answer
  • Plzzzzzzzzzzzz i need help
    8·2 answers
  • Farmer Brown planted corn and wheat on
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!