A hospital directed collects data on birth weight of newborn babies born in the maternity ward the Director find that the birth weights are approximately normally distributed with a mean of 3300 grams and a standard deviation of 525 grams the empirical rule states that in a normal distribution 68% of values are within one standard deviation of the mean 95% of values are within two standard deviation of the mean and 99.7% of values are within three standard deviations of the mean based on empirical rule what percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams

Answers

Answer 1

Answer:

97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, which means that 50% of the values are below the mean and 50% are above.

In this problem, we have that:

Mean of 3300, standard deviation of 525.

What percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams?

2250 = 3300 - 2*525

2250 is 2 standard deviations below the mean.

Of the 50% of the weights below the mean, 95% are going to be greater than 2250(less than 2 standard deviations of the mean).

Of the 50% of the weights above the mean, 100% are going to be greater than 2250.

So

[tex]p = 0.5*0.95 + 0.5 = 0.975[/tex]

0.975*100% = 97.5%

97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.


Related Questions

what is 2/5 of 2/3 = ​

Answers

Answer:

2/5

Step-by-step explanation:

2/5. 2/3 of a number means that you divide it by 3 and multiply by 2. 3/5 divided by 3 is 1/5. 1/5 multiplied by 2 is 2/5, which is the answer. Hope this helps! :).Hopes this helps. Mark as brainlest plz!

Answer:

.266666... or [tex]\frac{4}{15}[/tex]

Step-by-step explanation:

Multiply the numerator by the other numerator, in this case it would be 2 * 2, to get 4. This is your numerator for the answer.

Then do the same for the denominators. 5 * 3 is 15.

Therefore, your answer is [tex]\frac{4}{15}[/tex]

Hope that this helps!

Write an equation and solve:


Kiran is trying to save $144 to buy a new guitar. she has $34 and is going to save $10 a week from money she earns mowing lawns. she wants to know how money weeks it will take her to have enough money to purchase the guitar.

Answers

Answer:

11 weeks

Step-by-step explanation:

34+10x=144 equation

10x=110

x=11

check answer

11*$10=$110 money after 11 weeks at $10/week

    +.       34 money saved

     =.     144 money needed.

Suppose that documentation lists the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Texas, area as $213,200. The average home price in Orlando, Florida, is listed as $198,000. The mean of a random sample of 43 homes in the Texas metroplex was $217,800 with a population standard deviation of $30,300. In the Orlando, Florida, area a sample of 35 homes had a mean price of $204,700 with a population standard deviation of $33,800. At the 0.05 level of significance, can it be concluded that the mean price in Dallas exceeds the mean price in Orlando

Answers

Answer:

"0.0373" seems to be the appropriate solution.

Step-by-step explanation:

The given values are:

n₁ = 43

n₂ = 35

[tex]\bar{x_1}=217800[/tex]

[tex]\bar{x_2}=204700[/tex]

[tex]\sigma_1=30300[/tex]

[tex]\sigma_2=33800[/tex]

Now,

The test statistic will be:

⇒  [tex]Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }[/tex]

On substituting the given values in the above formula, we get

⇒      [tex]=\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }[/tex]

⇒      [tex]=\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }[/tex]

⇒      [tex]=\frac{13400}{7347.93}[/tex]

⇒      [tex]=1.7828[/tex]

then,

P-value will be:

=  [tex]P(Z>1.7828)[/tex]

=  [tex]0.0373[/tex]

Which fraction below represents a repeating decimal?
A 1/4 B 6/4 C 19/2
D 22/12

Answers

I believe the answer is 22/12

Answer:

1/9

Step-by-step explanation:

niether is really an answer its

x + 2y = 4
4x + 8y = 64
find how many solutions there is

Answers

Answer:

No solutions

Step-by-step explanation:

Multiply the top equation by 4

4x + 8y = 16

now both equations have the same left hand side

4x + 8y

but one equals 16 the other 64

Therefor: no solutions

Answer:

Step-by-step explanation:

Multiply the top equation by 4

4x + 8y = 16

now both equations have the same left hand side

4x + 8y

but one equals 16 the other 64

          ( simultaneous equations )

Use the following net to find the surface area of the solid figure

144 yd2

48 yd2

88 yd2

94 yd2

Answers

Answer:

94 yards^2

Step-by-step explanation:

Follow the rule for the Surface Area of a Rectangular Prism.

Formula: SA = 2lw + 2lh + 2wh

Substitute the values and you'll be fine.

Pls mark Brainliest and have a great day!!!

The Surface area of solid is 94 yd².

What is Surface area?

The surface area of a three-dimensional object is the total area of all its faces.

Here, Given area of the solid are 12 yd², 8 yd², 24 yd², 8 yd², 12 yd², 24 yd², and 6 yd²

Total Surface area = 12 + 8 + 24 + 8 + 12 + 24 + 6

                               = 94 yd²

Thus, the Surface area of solid is 94 yd².

Learn more about Surface Area from:

https://brainly.com/question/2835293

#SPJ2

Find the missing side length. Leave your answer as a radical in the simplest form
Please help...no links

Answers

9514 1404 393

Answer:

  x = y = 12

Step-by-step explanation:

A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...

  1 : 1 : √2

Multiplying these ratios by 12 gives ...

  12 : 12 : 12√2 = x : y : 12√2

The side lengths x and y are both 12 units.

(No links :>)
Please answer the picture below. Tysm ^^

Answers

Answer:

1 and 3

Step-by-step explanation:

if you solve

5(a+4) it equals

5a +20

Answer:

1 and 3

Step-by-step explanation:

1. 5(a+4)  Distribute = 5a+5*4 = 5a +20

2. 5a+4

3. 5a+20

4 5*a*4 = 20a

The two that are equal are 1 and 3

Can someone help me please?

Answers

9515 1404 393

Answer:

  10 inches

Step-by-step explanation:

Use the formula for the area of a trapezoid. Fill in the given information and solve for the unknown.

  A = 1/2(b1 +b2)h

  50 in² = (1/2)(3 in +7 in)h

  50 in²/(5 in) = h . . . . . . . . . . divide by the coefficient of h

  10 in = h

The height of the trapezoid is 10 inches.

i will give Brainiest if you are right

Answers

the area of the parallelogram is 80in

A =bh
A= 10(8)
A= 80 in^2

a submarine is at the surface of the ocean, preparing to dive. it submerges and dives -993 ft. then it ascends 308 ft to avoid hitting an undersea cliff. what integer represents the submarines position in ft after it ascends to avoid the cliff?
A. 1,301
B. 685
C. -1,301
D. -685​

Answers

Answer:

[tex]\text{D. -685}[/tex]

Step-by-step explanation:

Let the submarine's initial position be 0. After diving 993 feet, its position will be -993 ft. The submarine then ascends 308 feet, meaning its final position will be [tex]-993+308=\boxed{-685}[/tex].

You try to explain the number of IBM shares traded in the stock market per day in 2005. As an independent variable you choose the closing price of the share. This is an example of A. invalid inference due to a small sample size. B. sample selection bias since you should analyze more than one stock. C. simultaneous causality.

Answers

Answer:

This is an example of

C. simultaneous causality.

Step-by-step explanation:

Simultaneous causality eliminates the conclusion that is often taken for granted to the effect that one variable is a response variable while the other is an explanatory variable because the two variables, the price and the number of shares, influence each other at the same time.  When more shares are traded than demanded in the stock market in any day, the price tends to go down, and vice versa.

A patient has been instructed to drink a gallon of water each day. How many cups does the patient
need to drink?
Thank

Answers

Answer:

16 cups a day

Step-by-step explanation:

Select the correct answer.
What is the value of this expression if a = -7 and b = -3?
a3 – b2
Α.
-352
B.
-30
C.
-334
D.
-12

Answers

The value of this expression if a = -7 and b = -3 is -352

Equation

Equation is an expression used to show the relationship between two or more numbers or variables.

Given that a = -7 and b = -3

Hence:

a³ - b²

Substituting the values of a and b:

= (-7)³ - (-3)²

= -343 - 9

Simplifying the equation:

= -352

a³ - b² = -352

The value of this expression if a = -7 and b = -3 is -352

Find out more on Equation at: https://brainly.com/question/13763238

i need to know plz help

Answers

Answer:

122in^2

Step-by-step explanation:

A= 10x10x3.14 = 314in^2

Ar= 12x16= 192in^2

Asr= 314-192= 122in^2

Q11. What should be subtracted from -5/3 to get -2/7?
0 29/21
O o C
- 21/29
- 29/21
O 21/29​

Answers

-29/21 is the correct answer

Helpp plzz will mark brainleast

Answers

Answer:

It’s the second one

Answer:

a d e

Step-by-step explanation:

hope this helps mark me brainleast :)

Nine people in a square

Answers

If there are nine people in a square, then there will be 3 rows and 3 columns.

Because 3² = 9 or √9 = 3

3 rows and 3 columns

Help please ASAP thank you!! your awesome if you help

Answers

Answer:

Perimeter=56 units

Area =196 square unites

Step-by-step explanation:

The diagonal would be 14√2.

The formula for area using the diagonal is 1/2d².

1/2x(14√2)²=1/2x196x2=196

For perimeter, s²+s²=392

2s²=392

s²=196

s=√196

s=14

14x4=56

How many shapes can you make by taking plane sections from a sphere?

Answers

Answer:

One.

Step-by-step explanation:

Every possible plane section of a sphere will produce a circle.

Francesco built a box to store his baseball cards. The box is shown below.

Francesco needed more storage and built a similar box that was one-half of each the length, the width,
and the height of the first box. By what factor does the change in dimension between the two boxes
affect the volume?

ILL GIVE BRAINLIEST

Answers

Answer:

Option B

Step-by-step explanation:

Scale factor by which the dimensions of the new box was dilated = [tex]\frac{1}{2}[/tex]

In other words, dimension scale factor = [tex]\frac{1}{2}[/tex]

Relation between volume scale factor and dimension scale factor is,

Volume scale factor = (Dimension scale factor)³

Therefore, volume scale factor of the smaller box = [tex](\frac{1}{2})^3[/tex]

                                                                                   = [tex]\frac{1}{8}[/tex]

Since, volume scale factor = [tex]\frac{\text{Volume of the dilated figure}}{\text{Volume of the original figure}}[/tex] = [tex]\frac{1}{8}[/tex]

Therefore, volume of the smaller box = Volume of the larger box

Option B will be the answer.

                                           

Which statement explains how to calculate the mean of a set of data? O A. Subtract the smallest from the largest value. O B. Add the largest and the smallest values and divide by 2. O C. Find the sum of all the values and then divide by the number of values. OD. Organize the data from least to greatest and find the value in the middle. O E. Organize the data from least to greatest and Identify which value is repeated the most often.​

Answers

Answer: Where is the data?... where I can solve it

Step-by-step explanation:

Question:

Which statement explains how to calculate the mean of a set of data? O A. Subtract the smallest from the largest value. O B. Add the largest and the smallest values and divide by 2. O C. Find the sum of all the values and then divide by the number of values. OD. Organize the data from least to greatest and find the value in the middle. O E. Organize the data from least to greatest and Identify which value is repeated the most often.​

Answer:

C

Step-by-step explanation:

Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean !

Toys r Us sells Pokémon cards in packs of 12 for $16.87. Walmart sells them in packs of
6 for $8.36. Justify the better deal.

Answers

The better deal will be to get them from Walmart. In the 12 pack each card is approx. $1.40 when in Walmart each cart is approx. $1.39. So getting 6 pack from Walmart will be cheaper and a better deal.

The film The Lord of the Rings: The Return of the King, the last installment of The Lord of the Rings trilogy, was directed by Peter Jackson and released on December 17 2003 in the U.S. with huge success. Eventually, the film won 11 Oscars for all of its nominations. The film's box office has been more than $1 billion. In the film, there are long sequences in which not all main characters appear at the same time. And there are big scenes where everybody shows up. Thinking about the making of the film, behind the scenes, we can hypothetically break down the entire cinematic project into the following aggregate activities (We assume away all the complexities in shooting the three installments at the same time and other production details):
‐ Plan, screenplay, finance, cast, film crew, location
‐ Construction of movie sets
‐ Shooting sequence 1
‐ Shooting sequence 2
‐ Shooting sequence 3
‐ Big scene sequence
‐ Post‐production & finalization before release
We have the following hypothetical data on time in months and cost in millions of dollars:
ID IP T ES EF LS LF SLK NT NC CT CC CCR
A ‐ 6.0 6.0 13.0 6.0 13.0
B A 4.0 4.0 9.0 3.0 12.0
C B 4.0 4.0 12.0 4.0 12.0
D B 5.0 11.0 5.0 14.0 4.0 16.0
E B 6.0 0.0 6.0 16.0 4.0 19.0
F C,D,E4.0 4.0 19.0 4.0 19.0
G F 6.0 6.0 11.0 5.0 13.5
Note: IP = Immediate Predecessor; T = NT = Normal Time; ES = Earliest Start; EF = Earliest Finish; LS = Latest Start; LF = Latest Finish; SLK = Slack Time; NT = Normal Time; NC = Normal
Cost; CT = Crash Time; CC = Crash Cost; & CCR = Crash Cost/Time Unit (Crash Cost Rate).
Copy the table to your homework and complete the following parts:
By looking at the chart in part (a), find all possible paths through the network with their corresponding path times. Based on these path times, determine the critical path.
Based on part (a) By using the forward and backward passes together with the four time determination rules, fill your calculations for ES,
EF, LS, LF, and SLK in the appropriate cells.
(b) [2] Try to independently fill in the columns ES, EF, LS, LF, and SLK of the table. If you have difficulties, refer to part (a). Determine the activity with the most slack time.
c) [2] Based on part (a), find the critical path by going through the activities with no slack time.
Compare this result with the critical path found in part (b).
d) Use appropriate data to compute crash costs per time unit and fill in the CCR column. Cross out any CCR cells where the corresponding activities cannot be crashed.
(e) [2] Find the total normal cost of the film. Find the normal cost on the original critical path. Compute the cost proportion of the critical path in the film's budget.

Answers

The total cost was 2.67 million dollars

Solve for x in the triangle below. Round your answer to the nearest tenth


Please is the last one

4 mint left

Answers

Answer:

50

Step-by-step explanation:

11. Find the diameter of a circle with an area of 240.257 square millimeters. Round the answer to the nearesttenth.

Answers

Answer:

17.49

Step-by-step explanation:

A=πr2

d=2r

d=2A

π=2·240.26

π≈17.49013

The circumference of the tire of Melvin’s cycle is 2.5m. He took part in a race of 2km. When
he had covered 1.2km, the tire burst. To finish the race, how many more times should the wheel go
round?

Answers

Answer:

320

Step-by-step explanation:

Distance to go

2km - 1.2 km = 0.8km = 800m

Revolutions needed

800/2.5 = 320

There are 6 blue marbles, 7 black marbles, 4 orange marbles, and 3 green marbles in a bag. Once a marble is drawn, it is replaced. Find
the probability of the outcome.
Find P(Blue, Orange, and then Green)

which one is the right answer:

9/1000

3/500

6/35

0

Answers

Answer:

Hello! answer 9/1000

Step-by-step explanation:

All you have to do is multiply the probability of each then you will get your answer so...

6/20 × 4/20 × 3/20 = 9/1000 So thats your probability. Hope that helps!

7≥12−g solve for inequality
Plzz help me Its from khan academy

Answers

Answer:

g= 4 and g =5

Step-by-step explanation:

Answer: g = 5 and g = 6

Step-by-step explanation:

trust me </3

Convert the measurement indicated.
96 in to feet
96 in = 11 ft

Answers

foot ×12 =inch

here,

inch=96

foot=?

now

foot = inch /12

foot = 96/12

foot= 8 ft

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