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 be less than 3882 grams? Round your answer to four decimal places

Answers

Answer 1

Answer:

0.8944

Step-by-step explanation:

We start by calculating the z-score

To calculate the z-score, we shall need the standard deviation

Mathematically, standard deviation is square root of variance

that will be; SD = √108,900 = 330

Formula for z-score is;

x-mean/SD/√n

where n is 65 in this case

z-score = (3882-3831)/330/√65 = 1.25

The probability we want to calculate is;

P( X < 1.25)

we can use the standard normal distribution table for this

Using the table;

P( X < 1.25) = 0.89435 which is 0.8944 to 4. decimal places

Answer 2

Answer:

0.8944

Step-by-step explanation:


Related Questions

i need help please. ​

Answers

Answer:

Vertex point = (3, -2)

Step-by-step explanation:

Kenzie is putting the family vacation videos onto a flash drive. The flash drive can hold 200 minutes of video. Kenzie has used 45% of the memory space already. How many minutes of the flash drive has she already used?

Answers

Answer:

90 minutes

Step-by-step explanation:

In order to calculate a percentage of the minutes of video we simply need to divide the percentage by 100 and then multiply that value by the total number of minutes that the flash drive can hold. Since we are given this total number of minutes then we can simply plug it in and solve for x which represents the percentage of memory used in minutes.

x = 200 * (45 / 100)

x = 200 * 0.45

x = 90 minutes

Therefore, Kenzie has already used 90 minutes of video on the flash drive.

A store buys shoes for $40, then sells them to customers for $160. What is the percent mark-up for the price of the shoes?

Answers

Answer:

its 120 your supposed to divide 120 ÷ 100% and ur answer will be 120

25 pts! Dont copy someone elses work plz

Explain why the equation (x-4)^2-28=8 has two solutions. Then solve the equation to find the solutions. Show your work

Answers

Answer:

x = −2 or x = 10

Step-by-step explanation:

for the explanation see the image

Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch equals 3 ft. What is the area, in the square feet, of the room?

Answers

Answer: 432 ft^2

Step-by-step explanation:

If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.

Follow this up by the equation a=w*l to get

a=24*18 = 432 ft^2.

x+2=18
3(x+2)=18
How can we get Equation B from Equation A?

Answers

Answer:

x+2 = 18  

x = 18-2

x=16

3(x+2) =18

3x + 6 =18

3x = 18 -6

3x = 12

x = 12/3 = 4

Step-by-step explanation:

Can someone help me with the questions in the picture?

Answers

Answer:

7)equilateral

8 and 9)scalene

10,11 and 12) isosceles

Step-by-step explanation:

Equilateral triangle has three equal angles and sides

scalene triangle has unequal angles and sides

isosceles has two equal angles and sides

Divide. Simplify so the quotient is in lowest terms.
1: 1/2 divided by 4
2: 1 3/4 divided by 1/8
please help me lol

Answers

1. 1/2 divided by 4 = 1/8 or 8.

2. 1 3/4 divided by 1/8 = 7/32.

i will give u brainliest

Answers

Answer:

0.8

Step-by-step explanation:

Divide the numerator and denominator together to find the answer.

19 / 24 = 0.79166...

Round to the nearest tenth.

0.79166... → 0.8

Best of Luck!

Answer:

0.8

Step-by-step explanation:

numerator ÷ denominator = 0.791..

19 / 24 = 0.791..

0.791 to the tenth is 0.8

Hope this helps :)

The local high school is selling candy bars and soda at a fundraiser. The candy bars sells for eighty-four cents and each soda costs $1.35. After the fundraiser was over , the students made $63.84 from the candy bars and $70. 20 from the soda

1. How many candy bars did they sell?

2. How many sodas did they sell?

3. What was the total amount of money made by the high school?

Answers

Answer:

1 84 cents i hope this helped

can you please help meee ,due at 11!

Answers

1 is B and then 2 is A

Please please please help John wants to buy a new video game it cost $39.00. He has $14.00 in his piggy
bank. He works for farmer Jones down the street for $5.00 an hour. How many
hours will he need to work before he can buy his new video game? Make and equation

Answers

Answer:

5 hours

Step-by-step explanation:

39 - 14 = 25

5 x 5 = 25

14 + 25 = 39

Answer:

5 hours

Step-by-step explanation:

John needs $39.00, he has $14 now, and He earns $5 a week working. x= how many hours.

Start by setting the equation,

            $39.00= $5x + $14.00

Then solve by

1) subtracting 14 from both sides;

39(-14)= 5x+14(-14), by subtracting 14 on both sides you cancelled out the 14;

39 -14 = 5x  becomes $25= 5x      (39 -14 =25)

2) divide both sides by 5 to get x alone

25 (/5)=5x (/5) which becomes 25/5=x

3) 25/5 is 5

John must work 5 hours to have enough money to buy his video game.

Expand.
Your answer should be a polynomial in standard form.
(-1 + 2p)(3 – 4p) =

Answers

Answer:

-1+2p)(3-4p)=

Step-by-step explanation:

is the best one

The correct answer is :-3+10p-8p^2

can i be marked brainlest plz

State the class width for the class interval 20-29?​

Answers

Answer:

9

Step-by-step explanation:

Class width = 29 - 20 = 9

What is the slope of x=3y+9 and why?

Answers

1/3 is the slope. When you rearrange the equation to be in y=mx+b form, you would subtract 9 and divide by three. x divided by 3 is equal to 1/3 x, so that would be the slope

The table represents a linear function. WhT is the slope of the function?

Answers

Answer

The slope of the function is 5.

Step-by-step explanation:

The cards in Kaylens' hand had a value of 2.75, but then he added five (-1.5)
cards to his hand. What is the new value of the cards in his hand?

Answers

Answer:

1.25

Step-by-step explanation:

adding a positive to a negative it would go down to 1.25

if g(x)=x²-2 and p(x)=2x+3, find (g·p)(x)

Answers

2X^3+3x^2-4x-6

You do x^2-2 times 2x+3 and use FOIL method to get answer

Find the equation of the line that is perpendicualr to the line y=1/5x-4 and that contains the point (1,1).

‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK + STEPS!! Thx!

Answers

Answer:

Option A

Step-by-step explanation:

to be perpendicular, the product of two slopes should be -1

the slope of the first equation is 1/5, so the slope should be -5

(1/5) (-5)= -1

y= -5x +b

Substitute (1,1) to solve for b,

b= 6

Thus, the equation is y= -5x +6

Answer please
please please please

Answers

Answer:

3.25

Step-by-step explanation

Answer: 3.25

Step-by-step explanation:

This morning, Mai's car had 15.25 gallons of fuel. Now, 1.9 gallons are left. How much fuel did Mai use?

Answers

Answer:

13.35

Step-by-step explanation:

Just subtract. 15.25-1.9 gives you the difference.

Mai used 13.35 gallons of fuel.

Unitary method is a process by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit.

To calculate the fuel Mai used, we can subtract the remaining fuel from the initial amount of fuel.

This can be done as follows:

Initial amount of fuel = 15.25 gallons

Remaining amount of fuel = 1.9 gallons

Fuel used = Initial amount of fuel - Remaining amount of fuel

Therefore, Fuel used = 15.25 - 1.9

Fuel used = 13.35

Therefore, We can conclude that Mai used 13.35 gallons of fuel.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

what is 8.756×8.8 ?​

Answers

Answer:

77.0528

Step-by-step explanation:

hope this helps

Answer:

77.0528

but if needs to be simplified to the tenth it would be 77.1

Step-by-step explanation:

just multiply both numbers together and you'll get the answer.

A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.

Answers

Answer:

The original price of her purchase was $65.

Step-by-step explanation:

From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:

$13 →  20%

 x   ← 100%

x=(13*100)/20

x=1300/20

x=65

According to this, the answer is that the original price of her purchase was $65.

13X + 8 = 50 , what is 12x + 8

Answers

Answer:

4(3x + 2)  

                                                                                                                                           

Step-by-step explanation:

Rewrite 8 as 4 x 2

Rewrite 12 as 4 x 3

= 4 x 3x + 4 x 2

= 12x + 8

4(3x +2) I hope this helped

what is 2m×2 to the 7 power​

Answers

Answer:

256m

Step-by-step explanation:

not 100% sure but i hope this helps :)

Exponent rule: a^b * a^c = a^b + c
2^1 + 7m
Add the numbers
2^8m
=256m

Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four years.

Answers

Answer:

6930 for Maya and James is 6912

Step-by-step explanation

                             1600x8%=128+1600=1728x4=6912     1650x5%=82.5 82.5+1650=1732.50 1732.5x4=6930

6930-6912=18

Maya has $18 more dollars then James

Answer:

Step-by-step explanation:

each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya.

Certain species of fish costs $4.49 each. You spend at most $35. How many of this type of fish can you buy for your aquarium?
Also how do you give the brainlyest answer to someone?

Answers

Answer:

7 fish

Step-by-step explanation:

1. 4.49x ≤ 35

2. Divide both sides by 4.49 so it cancels out the multiplication. x ≤ 7.79510022272

3. You can't split fish, so you can buy 7 fish.

Not sure how to give Brainliest, though.

Answer:

Do 4.49 times 8 it'll get your answer

Step-by-step explantion

NO it's 8 he can buy 8 Of them fishes

Calculate the perimeter for the given figure.
8 ft
8.5 14
.ft
10 11
A. 16.5 feet
B. 25.5 feet
C: 26,5 feet
D. 26.5 feet

Answers

Answer:

the answer is C and D because perimeter is the sum of all sides of a figure


Need this answer ASAP cuz im dumb.


Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6
2020 + 72020. He stated that the expression was
not equivalent to 132020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?”

Answers

Answer:

40. This is so easy yet so dumb. Why is this even a question?

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Which hourly interval had the least rate of change?

Answers

Answer:

hour 3 to hour 4

Step-by-step explanation:

that is where the slope is the least steep

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