Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams

Answers

Answer 1

Answer:

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Step-by-step explanation:

Given that

mean weight = 3831 grams,

variance = 108,900

sample size n = 65

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams = ?

Now standard error of mean = √( 108900 / 65 ) = 40.9314

z = +/- (45/40.9314)

z = +/-1.0994

so

P( -1.0994 <z< 1.0994 ) = P( z<1.0994 ) - (p<-1.0994 )

= 0.8642 - 0.1358

= 0.7284

Therefore the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284


Related Questions

Which Shape is NOT quadrilateral

Answers

Answer:

the pentagon (3rd one)

Step-by-step explanation:

definition of a quadrilateral literally means a shape with 4 sides

I am so stressed can someone please help me

It’s 53 points

Answers

Answer:

(3,1)

Step-by-step explanation:

name the property shown by each statement: d x e x 0 = 0

Answers

Answer:

Commutative Property of Multiplication. Associative Property of Multiplication.

Step-by-step explanation:

The ratio of blue task to red task on the bullentin board is 3 to 5. There are 50 red tracks. How many blue tracks are on the board?

Answers

I think there is 30 blue tasks. Because if the ratio is 3:5 and you increase both by 10 you’ll get 30:50. I hope that helps (-:

What is the equation of the line that passes through the point (2,0) and has a slope of 5/2

Answers

Answer :

y = 5/2x - 5

Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5/2 , thus
y = 5/2x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = 5 + c ⇒ c = 0 - 5
y = 5/2x - 5 ← equation of line

alice started at the origin and moved to the left and then down to plot a point. which quadrant and which possible point did alice plot at?

Answers

Answer:

OK

Step-by-step explanation:

LOL SO WHAT I . DID

IS ik the qudrents and just ask siri maybe she will help but i got qudrent 3

Estimate the cost of 3.2 pounds of apples .The cost of 3.2 pounds of apples is about

Answers

138c since 1 pound of apples=43c

check if 7 is a solution of the equation 4 ( Z - 3 ) = 16. step by step plz guys. ​

Answers

Answer:

YES

Step-by-step explanation:

4(Z-3)=16

4Z-12=16

  +12 +12

4Z=28

Z=7

Answer:7

Step-by-step explanation:

4(z-3)=16

4z-12=16

4z=28

4z/4=28/4

z =7

The first line of the passage includes a
to introduce a
section and help readers locate it easily,
that
CELL PHONE POLICY
Devices Supplied by the Company
The use of company supplied devices must be limited to
work-related correspondence. They should not be used
for personal communication.
Personal Cell Phones and Devices
Employees are encouraged to limit their use of personal
cell phones and other devices during business hours.
The passage also includes
introduce more specific topics.
The passage is organized according to a
y sequence

Answers

Answer:

Step-by-step explanation:

Answer: 1. heading and subheading

2. subheading

3. point-by-point

Step-by-step explanation:

A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.

Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)

Part B: At time t, at what rate is the height of the dough decreasing with respect to time?

Answers

Answer:

a) dA/dt = 125,42 mm/min

b) dh/dt = - 1,78 mm/min

Step-by-step explanation:

The volume of the cylinder is:

V(c) = π*r²*h         ( r and h radius of the base and heigh respectively )

Then the surface area is: Area of the base : π*r²

Plus lateral area :  h*2*π*r

A(c) =  π*r² + 2*π*r*h

With the help of differentials we obtain:

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt        (1)

In this equation and at time t we know:

r = 18 mm        dr/dt = 2 mm/min      h = 8 mm    dh/dt = ??  

dA/dt = increasing rate of the surface area ( with respect to time)

To find dh/dt we know:

V(c) is constant, then

V(c) = π*r²*h     then   h = V(c) / π*r²

dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴

By subtitution of V(c)

dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴

dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴

dh/dt = - [2*h* dr/dt ] / r

dh/dt =  -  2*8*2 / 18    mm/min

dh/dt = - 1,78 mm/min

By subtitution in equation (1)

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt

dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )

dA/dt = 226,20 + 100,53 - 201,31

dA/dt = 125,42 mm/min

Following are solutions to the given points:

Formula:

Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]

[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]

Part A:  

Calculating the circular area of the surface:

[tex]\to A=\pi r^2\\\\[/tex]

So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]

Therefore

[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]

Part B:

[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]

Learn more:

brainly.com/question/19667963

this is due in a few hours can yall help me

Answers

Answer:

18%, 34%, 9/25, 0.25

Step-by-step explanation:

36% = 18%

17/50 = 34%

0.18 = 9/25

1/4 = 0.25

Which of these isn't a proportional relationship? 15:30 & 1:2 3:9 & 9:27 05.10 & 10:20 2:4 & 4:2​

Answers

Answer:

4:2

Step-by-step explanation:

Determine whether the mapping diagram shown below represents a
function
27 points

Answers

Answer:

Not a Function

Step-by-step explanation:

Each y-value has 2 x-values. It is supposed to only have one. hope this helped you!! Give brainliest

a flour company in minneapolis wants to know what percent of local households bake at least twice a week. A company representative calls 500 randomly selected local households from 8am to 5pm during the week and finds that 56% of them bake at least twice a week

Answers

Answer:

Step-by-step explanation:

The response of this would be to say that those people without daytime jobs that are outside the home, are more likely to be home and thus, have more time on their hands to attempt to bake. So basically, the quoted 56% is definitely going to be higher than the population percentage.

Lae bought grapes for $1.50 per pound. A 2-column table has 4 rows. Column 1 is labeled Pounds x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.50, 3.00, 4.50, 6.00. Create a graph of the relationship between the two quantities. Complete the statements. Use the numbers in the table to create . are graphed on the x-axis. are graphed on the y-axis. Plot the on the graph. Draw a that starts at the origin and connects all the points.

Answers

The graph of dollar and pound table of Lae is graphed below in which pounds are graphed on the x-axis and dollars are graphed on the y-axis.

How to plot a graph from table?

To plot a graph from a table, make the ordered pair of values of coulom 1 and 2 of the table. Plot a line or curve with these ordered pair on the graph.

Lae bought grapes for $1.50 per pound. A 2-column table has 4 rows.

Column 1 is labeled Pounds x with entries    1,        2,        3,        4. Column 2 is labeled Dollars y with entries 1.50,  3.00,   4.50,   6.00.

The created graph of the relationship between the two quantities is attached below. Now lets complete the statements.

Use the numbers in the table to create ordered pair. Pounds are graphed on the x-axis. Dollars are graphed on the y-axis. Plot the ordered pair on the graph. Draw a straight line that starts at the origin and connects all the points.

Hence, the graph of dollar and pound table of Lae is graphed below in which pounds are graphed on the x-axis and dollars are graphed on the y-axis.

Learn more about plot a graph here;

https://brainly.com/question/26403321

Answer:

1. ordered pairs
2. pounds
3. dollars
4. ordered pairs
5. straight line

I apologize if im late!

I need help asappp!!!

Answers

For number 1 it’s -2 in.a half Bc it’s infront of 2 but closer to it


What is the equation of this line?

Please Help

y=1/2x -2
y=-2x -2
y=2x -2
y=-1/2x -2

Answers

Answer:

the first option

Step-by-step explanation:

the slope is the rise over run (up over across) and the line meets the y axis at -2 so that is your intercept

Which of the following ratios are equivalent to 34:21?

Answers

Answer:

https://brainly.com/question/19692618

Step-by-step explanation:

https://brainly.com/question/19692618https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618

It’s not b!!!! Help me please

Answers

Answer:

D maybe? im not sure

Step-by-step explanation:

Write the equation of the line that passes through the given points
(0,2)) and (-9, -3)

Answers

Step-by-step explanation:

Y= m x+ C

m (slope ) = 2 - (_3) / 0 _( - 9 )

= 5 / 9

( O, 2 ) Satisfying equation

2= 5/9 ( 0) + C

C= 2

So eq. is

y= 5/ 9 X + 2

The temperature in Minsk was recorded over a period of four hours. The
equation
y = -5x + 54
describes the temperature over this time, where y is the temperature in
degrees Fahrenheit (°F) and x is the number of hours since measurements
started. Which of the following statements correctly describes the
temperature?
A. It was -5°F after four hours, and it is rising by 54 degrees per
hour.
B. It was 54°F when the temperature was first measured, and it is
dropping by 5 degrees per hour.
c. It was -5°F when the temperature was first measured, and it is
rising by 54 degrees per hour.
O D. It was 54°F after four hours, and it is dropping by 5 degrees per
hour

Answers

Answer:

D.) it was 54 degrees Fahrenheit when the temperature was first measured, and it is dropping by 5 degrees per hour

Step-by-step explanation:

I took the quiz

Answer:

D

Step-by-step explanation:

I took the test

Please help! it's algebra 2! correct answers only!

Answers

B.

To create a square trinomial on the left side of the equation, find a value that is equal to the square of half of.

what is the equation?

Answers

Answer:

Step-by-step explanation:

y = 10/4 x

y = 2.5 x

A glass of milk is moved from a refrigerator with a temperature of 6C to a room with a temperature of 25C. One minute later the milk has warmed to a temperature of 9C. Determine the temperature of the milk at time t. After how many minutes does the milk have a temperature that is 80​% of the ambient​ temperature?

Answers

kshsheveosbwjsvsusvsisvsidvsksns

Step-by-step explanation:

BRAINIST PLSS

it want me to type here sooo um brainleist for the one who gibs the correct answer!!

Answers

Answer:

70 + 95 = 5(14 + 19)

Step-by-step explanation:

To factor the expression, 70 + 95, using the GCF, take the following steps:

✔️Find the prime factors of each number:

Prime factors of 70 = 2 × 5 × 7

Prime factors of 95 = 5 × 19

Multiply the factors that both numbers have in common to get the GCF.

This, both number have only one factor in common which is 5.

Therefore, the GCF of 70 and 95 is 5.

✔️Factoring the experession given using the GCF, we have:

70 + 95 = 5(14 + 19)

How much is 3/5 of 31/8 ?

Answers

Answer:

2.325

Step-by-step explanation:

i used a calculator ,i think i did it right lol

I have 8 Twix bar that I want to share with 6 students how much of the Twix bar will each student get

Answers

Answer:

1.3

Step-by-step explanation:

8 divided by 6 = 1.3

BRAINLIEST PLEASE

Answer:

1.3

Step-by-step explanation:

Hope this helped have an amazing day!

xander takes a quiz worth 50 points. each question is worth 10 points. sketch a graph to show his score if he missed 1,2,3,4 or 5 questions

Answers

If the quiz is worth 50 points and each question is worth 10 that means for every question he could’ve missed would be taking away 10 from that 50. So lets say if he misses 2 questions. 2 x 10 would be 20. You take away 20 from 50 which would be: 50 - 20 = 30. And it goes on from there.


Hope that helps!

Which expression is equivalent to 2x^2-
2x + 72

Answers

Answer:

36

Step-by-step explanation:

2x•2x=4x

4x-2x=2x

72÷2=36

Cliff's Rentals rents out jet skis. The hourly charge is $50. Marcus rented a jet ski for 3 hours and paid $165.
Which equation can be used to determine the price, P, for h hours? Pls help me

Answers

Answer:

50h + 3 = 165P

Step-by-step explanation:

Other Questions
I need to find the x pls help and show work Help please??? Dont know Spanish! Much of the earths heat is retained in thecrust.wind.oceans.mountains. An exceptionally rainy spring caused many mud slides that covered most of the grass plants and their seeds in soil too deep for successful sprouting. A few seeds were covered in less soil and were able to sprout and reproduce A. Gene Flow B. Genetic Drift Chromosome pair 23 are the sex chromosomes and are responsible for determining the gender of a human. The large chromosome is an X chromosome, and the small chromosome is the Y chromosome. If there are two Xs, then the individual is a female. If there is an X and Y, then the individual is a male. Will mark brainliest for whoever answers what is 1/4 times 6 in simplest form? 7. Simplify the expression.3[(15 3)2 + 4 Solve the problems here on the pic Whoever completes this gets brainliestthanks in advance look at picture and answer ASAP Omar goes to a restaurant with his family. The total cost of their food is $136. An 8% sales tax is applied to the cost of their food. His family also wants to leave an 18% tip, which is based on the pre-tax food cost. How much will the final restaurant bill be?A, $146.88B, $160.48C, $171.36D, $173.32 PLZZZZ HELPConsider the diagram.Triangles A B R and R C A share side R A. Angles B A R and A R C are right angles. Sides B R and A C are congruent. Which congruence theorem can be used to prove ABR RCA? HLSSSASASAS Impasto[ Choose ]Visual texture[ Choose]texture rubbing[ Choose]Invented texture[ Choose] Write the missing exponent. 6th grade reading and writing i will give brainliest what languages does jane eyre study? (check all that apply) FrenchgermanhindostaneeenglishSpanishitalian I will give brainliest, you have to put these in the correct order (24 points) If 24 = 118, what is the measure of each of the otherangles? A pre-design document you can use to create a new project quickly