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

Each day Louders reads 30 pages

Answers

Answer:

woww

Step-by-step explanation:

Carmen has taken out a loan for $800 to buy a car. She plans to pay back the loan at a rate of $40 per month. Ramona has borrowed $500 to buy a car, which she plans to pay back at a rate of $20 per month.

How long will it take Ramona to pay back her loan?​

Answers

25 months, hope this helps!

Answer:

It will take Ramona 25 months or 2 years and 1 month to pay back for the car.

$40 game; 30% off; 5% tax

Answers

Yo dude that’s cool where can I get it

Math please help 20 points plus brainly if you can answer each question.


The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.

Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.

Answer the questions to solve the equations and to compare the steps and solutions.

1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?

Circle the best answer.

Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2














2. What would your next step be?


Write your answer in the space below.















3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.


Write your answer in the space below.















4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?

Circle the best answer.

Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides














5. What would your next step be?


Write your answer in the space below.















6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.


Write your answer in the space below.















7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.


Write your answer in the space below.

Answers

Answer:

number 1 is D

number 2 is distribute 2 into x and 14(multiplying)  getting 2x+28=40

then subtract 28 from each side  40-28=12  after just simply divide 2x by its self and into 12 getting 6

number 3 is 12

number 4 is subtract 2 from both side

number 5 is divide

number 6 is 6

I hope this helps have a great day!

Step-by-step explanation:


A triangle has side lengths of 21, 27, and 35 inches. Is it
right triangle?

Answers

Answer: No
In right triangle we have 30:60:90
and the ratios are
x: x root of 3: 2x
so, for example, if we have side of length 3 against 30 degrees, then against 60 degrees the side will be 3 root of 3, and against 90 degrees it will be 6.
Hope it helps!


What is the slope of a line parallel to the line whose equation is 2x+y=6.

Answers

Answer:

-2 is the slope...

So Basically -2/1

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

First, you solve for y by subtracting 2x from both sides of the equation and so now we have a y= -2x+6. The slope is going to be the number that is with x.

Each ___ in a cell has its own specific function.

Answers

Answer:

organelle

Explanation: Mitochondria and the cell wall are both examples of organelles since they have their own specific functions (Mitochondria produces the energy and the cell wall protects the cell from things that might be a danger to the cell.

Each "organelle " in a cell has its own specific function.

What is organelles ?

Mitochondria and the cell wall are both examples of organelles since they have their own specific functions. Mitochondria produces the energy and the cell wall protects the cell from things that might be a danger to the cell.

A Cellular respiration is a component of a metabolic process which splits the glucose sugar molecule to produce energy in the form of ATP.

Since we know that Krebs' cycle, oxidative phosphorylation, and glycolysis are all components of cellular respiration.

The cellular respiration activities take place in the mitochondria of the cell, where the oxygen-rich environment which causes the sugar-like glucose to break down into an energy molecule.

A cell organelle having a membrane is a 'mitochondria'. It is a location for cellular respiration and metabolic activities which produce energy.

Learn more about mitochondria by using this link:

brainly.com/question/10688306

#SPJ6


The table shows values of n and f(n) for the equation f(n) =
n(n+3)
2.
f(n)
1
2
2
5
3
9
4
?
What is the value of f(n) when n =
= 42
A 12
B. 13
C. 14
D. 28
E

Answers

I looked at the the picture and the answer is A. 12

I guess the 2 was supposed to be a question mark judging by the picture...

In triangle ABC, angle BAC = 90
Work out the size of angle DAC AND DCA?

Quick plz:)

Answers

Answer:

Easy man it 9999

Step-by-step explanation:

Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
100 miles in 2.5 hours
40 miles per hour
100
a. Yo
c.
25 miles per hour
1000
b. 250 miles per hour
d.
25
miles per hour
Please select the best answer from the choices provided
А
B
ОС
D

Answers

Answer:

c

Step-by-step explanation:

Answer:

A. 100 miles divide 2.5 hours = 40 miles per hour

Emily wants to determine the relationship between the number of people in a household (x) and the last 4 digits of their phone number(y) she selects 100 households in her town randomly and examined the data what is the best estimate of the correlation coefficient between x and y

Answers

Answer:

it should be -0.5

Step-by-step explanation:

horizontal distance of 10 feet and rice 3 feet. Find the length of the ramp.

Answers

Answer:

Step-by-step explanation:

Tye length of the ramp can be gotten using Pythagoras theorem.

Horizontal distance = 10ft.

Vertical distance = 3ft

Length of the ramp² = 10²+3²

Length of the ramp² = 100+9

Length of the ramp² = 109

L² = 109

L =√109

L = 10.44ft

Hence the length of the ramp is 10.4ft to the nearest tenth


Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 5–10.
-10
-5
0
5
10
+
5
O!
0
-10
5
10
-10
-5
0
5
10
DONE

Answers

Answer:

20

Step-by-step explanation:

good luck

A test of a new car results in 300 miles on 10 gallons of gas. How far could you drive on 45 gallons of gas?

Question 5 options:

1350 miles


67 miles


670 miles


135,000 miles

Answers

Answer:

1350

Step-by-step explanation:

300x4=1200

300×.5=150

1200+150=1350

i need help pls 1 - 8 thanks

Answers

Answer:

1. 0.5454

2. 8

3. 0.6785

4. 1.1428

5. 6

6. 1.5

7. 1.75

8. 1.6666

Step-by-step explanation:

calculator :)

3. Solve the following application of a system of linear equations.
Two students in the same Spanish class, Cindy and Ruben, plan to get together after school to make
vocabulary flashcards. Cindy started on the project yesterday and has already made 14 flashcards.
Ruben hasn't started yet so he has none. Since Cindy makes 9 flashcards per minute and Ruben makes
10 flashcards, Ruben will soon have the same number of flashcards.
Which variables will you use and what do they represent?
Write your system of linear equations below.
Solve the system.
How much time will it take for Cindy and Ruben to have the same number of flashcards?
How many flashcards will each student have at that time?

Answers

Answer:

Equations:

[tex]y = 14 + 9 x[/tex] --- Cindy

[tex]y = 10 x[/tex] --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

[tex]Existing\ Flashcards = 14[/tex]

[tex]Additional = 9[/tex] per minute

Total number of flashcards (y) in x minutes is:

[tex]y = Existing\ Flashcards + Additional * x[/tex]

[tex]y = 14 + 9 * x[/tex]

[tex]y = 14 + 9 x[/tex]

Ruben:

[tex]Rate = 10[/tex] per minute

Total number of flashcards (y) in x minutes is:

[tex]y = Rate * x[/tex]

[tex]y = 10 * x[/tex]

[tex]y = 10 x[/tex]

Solution to Equations:

Time they have the same amount.

To do this, we [tex]equate[/tex] [tex]both[/tex] expressions

i.e.

[tex]10x = 14 + 9x[/tex]

Collect Like Terms

[tex]10x - 9x = 14[/tex]

[tex]x = 14[/tex]

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

[tex]y = 10 x[/tex]

[tex]y = 10 * 14[/tex]

[tex]y = 140[/tex]

or

[tex]y = 14 + 9 x[/tex]

[tex]y = 14 + 9 * 14[/tex]

[tex]y = 14 + 126[/tex]

[tex]y = 140[/tex]

Help how can I solve This

Answers

Answer:

1. 5\7.5 =2\3

2. 7\100=3.5\50

Step-by-step explanation:

a size 8 kids shoe measures 9 2/3

Answers

What am I suppose to answer?

Bob bought the 24 fish for $51.36. How much did each fish cost him? Show your calculation.

Answers

Answer:

2.14

Step-by-step explanation:

2.14x24=51.36

The data was modeled with a linear best-fit function. What was the initial
purchase price?

X Y
4. 5,000
7. 6,875
9. 8,125
12. 10,000


A. $625
B. $2,500
C. $5,000
D. $5,625

Answers

Answer:

c

Step-by-step explanation:

What is the recursive formula for this sequence? 12, 16, 20, 24, 28, ...​

Answers

Answer:

A

Step-by-step explanation:

first term is 12, and following terms are obtained adding 4 to previous term.

I NEED HELP ASAP IT IS DUE TODAY!!,

Lori needs a length of twine 8.5 meters long to mark a row in her garden. Andrew needs a length of twine 7.28 meters long for his row. They have one length of twine that measures 16.29 meters.

After they each take the lengths they need, how much twine will be left?

Answers

Answer:

.51 meters of twine

Step-by-step explanation:

add the numbers of twine they each need which is 15.78 then subtract the 16.29 they have minus the 15.78 they need now you have a left over .51 meters

Sara has $180 to spend on a mixture of oranges and bananas. The oranges cost $3 per pound and the bananas cost $2 per pound. What equation can she use to graph a line showing the different amounts of oranges and bananas she can buy for $180?

Explain what does each elements of the equation represent.

pleasee guys i need help

Answers

Answer:

365

Step-by-step explanation:

2+3+180+180=

Can someone help with this please?

Answers

Answer:

a) Function 1 has the greatest y-intercept

b) Only function 2 has a slope less than -2

c) Function 4 has the least steep slope

Answer:

1. Function 1

2. Function 2

3. Function 4

Step-by-step explanation:

y-intercept:   Function 1: 4, Function 2: 1, Function 3: -5, Function 4: -2

- Function 1 has the highest y-intercept

slope less than -2:  Function 1: 2, Function 2: -4, Function 3: 5, Function 4: -1

- Function 2 has a slope lower than -2

least steep graph: Function 1: steepness 2, Function 2: steepness 4, Function 3: steepness 5, Function 4: steepness 1

- Function 4 has the steepest graph

Is 500% of 9 less than 10, greater than 10 but less than 100, or greater than 100?

Answers

What is that on your pfp

PLS HELP PLS THE LAST QUESTION I ASKED PLSSSSS

Answers

Answer:

Okay nvm I have found it here is your graph I don't what type of graph you need so i will provide you with 2 of my choosings

Step-by-step explanation:

Which inequality is true?

A number line going from negative 1 to 1.

One-half less-than one-third
Three-fourths greater-than two-thirds
Negative one-fourth less-than negative two-thirds
Negative 1 greater-than three-fourths

Answers

Answer:

The answer is C!

Step-by-step explanation:

I hope this helped!

Have a good day!or night, evening, afternoon, noon, or anything else!

The false statement is Negative one-fourth less-than negative two-thirds

what is Inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given:

A number line going from negative 1 to 1.

One-half less-than one-third

i.e., 1/2 < 1/3 is true

and, Three-fourths greater-than two-thirds

i.e., 3/4 > 2/3 is true

and, Negative one-fourth less-than negative two-thirds

i.e., -1/4 < -2/3 is false

and, Negative 1 greater-than three-fourths

-1 > -3/4 is true.

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ6

What is the simplified ratio of female to male students in a class, if there are 18 boys and 9 girls?

Answers

9:18 = 1:2
There are 1 to 2 females to males

Michael can mow 5 lawns in 36 minutes. At this rate, how long will it take him to mow 15 lawns?

Answers

Answer:

It would take him 108 minutes to mow the lawn.

Step-by-step explanation:

We can do proportion.

[tex] \frac{5 \: lawns}{36 \: minutes} = \: \frac{15 \: lawns}{x} [/tex]

[tex]36 \times 15 = 540 \\ 5 \times x = 5x[/tex]

[tex] \frac{540}{5} = \frac{5x}{5} [/tex]

[tex]108 = x[/tex]

a number, a variable, or a product of a number and one or more variables

Answers

Answer:

Polynomials

Step-by-step explanation:

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