answer.
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
elena55 [62]
2 years ago
4

According to the World Health Organization (WHO) Child Growth Standards, the head circumference for girls who are two-years old

has a normal probability distribution witha mean of 47.2cm and a standard deviation of 1.4cm. What is the head circumference of a two-year old girl who marks the start of the 90th percentile? Enter a number without units.
Mathematics
1 answer:
xeze [42]2 years ago
6 0

Answer:

Hence, 49.0 cm is the head circumference of a two-year old girl who marks the start of the 90th percentile.    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 47.2 cm

Standard Deviation, σ = 1.4 cm

We are given that the distribution of head circumference is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.9

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 47.2}{1.4})=0.9  

=P( z \leq \displaystyle\frac{x - 47.2}{1.4})=0.9  

Calculation the value from standard normal z table, we have,  

P(z \leq 1.282) = 0.90

\displaystyle\frac{x - 47.2}{1.4} = 1.282\\\\x = 48.9948 \approx 49.0  

Hence, 49.0 cm is the head circumference of a two-year old girl who marks the start of the 90th percentile.

You might be interested in
Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a r
Zepler [3.9K]
<h2>∴Will ran 13.55 yards more than James.</h2>

Step-by-step explanation:

Given Will ran the diagonal distance across a square field measuring 40 yards each sides .

∴The distance covered by Will was =\sqrt{40^{2}+40^2 } yards

                                                         = 40\sqrt{2} yards=56.56 yards

Again James ran diagonal distance across a rectangle field with a length of 25 yards and a width of 35 yards.

So,distance covered by James was =\sqrt{25^2+35^2} yards

                                                             =5\sqrt{74} yards = 43.01 yards

∴Will ran longer distance.

∴Will ran 13.55 yards more than James.

4 0
2 years ago
Which situations represent a y-intercept of 2? Select all that apply.
Anastaziya [24]
I am not 100% sure but I believe its,
(0,2)
Ball thrown from an initial height of two feet
Jeremy's change jar that started with a $2 deposit

I chose these because the Y always represents the starting point of whatever the problem is about, then the X represents the progress its made since the beginning. So if it doesn't say start or initial or any words like that its probably not the Y, its the X.
5 0
2 years ago
Read 2 more answers
Find the average speed of a plane that leaves Bristol at 14.00 and lands in Rome at 17.15.The distance is 1200 miles
horrorfan [7]
It is very important to go through all the details that have been provided in the question. These information's will come in very handy while getting to the solution for the answer. Now let us concentrate on the problem in hand.
Distance between Bristol and Rome that the plane covers = 1200 miles
Starting time of the plane from Bristol = 14:00 hrs
Landing time of the plane in Rome = 17:15 hrs
Then
Total time taken by the plane to travel from Bristol to Rome = 17:15 - 14:00 hours
                                                                                               = 3 .15 hours
So
The average speed of the plane = 1200/3.15 miles per hour
                                                    = 380.95 miles per hour
From the above deduction we can conclude that the average speed of the plane traveling from Bristol to Rome is 380.95 miles per hour.
6 0
2 years ago
The nakagin capsule tower has 140 modules and is 14 stories high if the modules were divided evenly among the number of stories
Burka [1]
To determine the number of modules that is in each story, we simply divide the number of modules by the number of stories. 
                           = 140 / 14
Simplifying,
                           = 10 modules / story
Therefore, by even distribution we note that there are 10 modules per story. 
5 0
2 years ago
jack puts 1/3 pound of birdseed into his feeder every time he fills it. how many can jack fill his bird feeder with 4 pounds of
Flura [38]

Answer: Jack can fill his feeder 12 times with 4 pounds of birdseed.

Step-by-step explanation:

You need to analize the information given in the exercise, You know that every time Jack fills the feeder, he put \frac{1}{3} pounds into it.

Then, in order to solve this exercise, let "x" represents the number of times that Jack can fill his  feeder with 4 pounds of birdseed.

Keeping on mind the data provided in the exercise, you can set up de following proportion:

\frac{1}{\frac{1}{3}} = \frac{x}{4}

Finally, you must solve for "x" in order to find its value.

You get that this  is:

3= \frac{x}{4}\\\\(3)(4)=x\\\\x=12

Therefore, you can conclude that Jack can fill his feeder 12 times with 4 pounds of birdseed.

4 0
2 years ago
Other questions:
  • Polygon XYZW is dilated by a scale factor of 2 with point T as the center of dilation, resulting in the image X′Y′Z′W′. If point
    8·2 answers
  • Sean drew a shape with 2 fewer sides than an octagon.Which shape did he draw?
    9·2 answers
  • What is the solution of RootIndex 3 StartRoot x + 8 EndRoot = negative 4?
    14·2 answers
  • A shoe manufacturer compared material A and material B for the soles of shoes. Twelve volunteers each got two shoes. The left wa
    11·1 answer
  • A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height of the rocket in
    5·1 answer
  • A circle with area \blue{16\pi}16πstart color #6495ed, 16, pi, end color #6495ed has a sector with a central angle of \purple{\d
    14·1 answer
  • At what root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x axis?
    11·1 answer
  • Graph the line that represents a proportional relationship between yyy and xxx where the unit rate of change of yyy with respect
    11·2 answers
  • in a survey of 80 people.it was found that 60 liked oranges only and 10 liked both oranges and apples.the number of people who l
    8·2 answers
  • The maximum number of marks attainable at a mathematics competition is 60. Kate obtains 40 marks, Priya obtains 46 marks, and No
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!