The weights for newborn babies is approximately normally distributed with a mean of 5.4 pounds and a standard deviation of 1.8 pounds. Consider a group of 1500 newborn babies: 1. How many would you expect to weigh between 3 and 6 pounds

Answers

Answer 1

Answer:

You would expect 807 babies  to weigh between 3 and 6 pounds.

Step-by-step explanation:

We are given that

Mean,[tex]\mu=5.4[/tex]pounds

Standard deviation,[tex]\sigma=1.8[/tex]pounds

n=1500

We have to find how  many would you expect to weigh between 3 and 6 pounds.

The weights for newborn babies is approximately normally distributed.

Now,

[tex]P(3<x<6)=P(\frac{3-5.4}{1.8}<\frac{x-\mu}{\sigma}<\frac{6-5.4}{1.8})[/tex]

[tex]=P(-1.33<Z<0.33)[/tex]

[tex]P(3<x<6)=P(Z<0.33)-P(Z<-1.33)[/tex]

[tex]P(3<x<6)=0.62930-0.09176[/tex]

[tex]P(3<x<6)=0.538[/tex]

Number of newborn  babies expect to weigh between 3 and 6 pounds

=[tex]1500\times 0.538=807[/tex]


Related Questions

In July 2014 one Mexican peso was worth 0.075 U.S. dollars. How many Mexican pesos was $133.00 U.S. dollars worth?

Answers

Answer:

1,773.33 Mexican pesos

Step-by-step explanation:

Create a proportion where x was how many Mexican pesos it was worth:

[tex]\frac{1}{0.075}[/tex] = [tex]\frac{x}{133}[/tex]

Cross multiply and solve for x:

133 = 0.075x

1773.33 = x

So, it was worth approximately 1,773.33 Mexican pesos

if i need 90 square feet of tile and each piece of tile covers 0.34 square feet, how much do i need in pieces

Answers

Answer:

265

Step-by-step explanation:

9514 1404 393

Answer:

  265

Step-by-step explanation:

Let t represent the number of tiles needed. Then the area covered by those t tiles will be ...

  area = t·0.34 ft²

We want that area to be 90 ft², so we can solve this equation for t:

  90 ft² = t·(0.34 ft²)

  90 ft²/(0.34 ft²) = t ≈ 264.71

About 265 tiles are needed to cover 90 ft².

slove the following systems of equations using any method. y= 3x + 7 , y= x- 9 , 3x- y= 1 , 7x + 2y = 37.​

Answers

y=3× + 7 , y=×- 9 , 3×- 9 , 3×- y= 1 , 7× + 2y = 37.

ANSWER ASAP IM BEING TIMED
IF I GET AN A ON THIS I WILL DO ANOTHER POINT FREE DROP, PLEASE SHOW YOUR WORK
The lengths of three sides of a quadrilateral are shown below:

Side 1: 1y2 + 3y − 6

Side 2: 4y − 7 + 2y2

Side 3: 3y2 − 8 + 5y

The perimeter of the quadrilateral is 8y3 − 2y2 + 4y − 26.

Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points)

Part B: What is the length of the fourth side of the quadrilateral? (4 points)

Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)

Answers

Answer:

Part A

(1y^2+3y-6)+(4y-7+2y^2)+(3y^2-8+5y)

6y^2+12y-21

Jimmy thought he had purchased 7 folders, but purchased 6. What was his percent error?

Answers

Answer:

Step-by-step explanation:

Percent Error = | Actual Yield-Theoretical/ Theoretical Yield | *100%

Error= |-1/7|*100%= 14.29%

Please help!!! Picture included

Answers

Step-by-step explanation:

A is your answer.

You just have to solve for each function individually and see what the roots are.

9514 1404 393Answer:

  (a)  f(x) = 2x² -2

Step-by-step explanation:

The function has two zeros, at -1 and 1, so is not a linear or square root function. The only viable choice is the correct one:

  f(x) = 2x² -2

²/₃ + ¹/₃ please answer

Answers

FINAL ANSWER:

1

Step-by-step explanation:

[tex]\frac{2}{3} +\frac{1}{3}[/tex]

the denominators are the same so all we need to do is add.

[tex]\frac{2}{3} + \frac{1}{3} =\frac{3}{3}[/tex]

[tex]\frac{3}{3} =[/tex] 1 whole

final answer: 1

hope this answer helps you :)

have a great day and may God Bless You!

A businessman spends 1/5 of his travel expense funds on a hotel room and 4/10 on airfare. What percentage of his travel expenses are left over?

Answers

1/5= 20/100
4/10= 40/100
20+40= 60
100-60= 40
So he has 40% remaining

Answer: 40%

Step-by-step explanation:

1/5=20%, 4/10=40%. 20 + 40 = 60. [ 100% - 60% = 40%]

Use the relationship among the three angles of any triangle to solve. Two angles of a triangle have the same
measure and the third angle is 27° greater than the measure of the other two. Find the measure of each angle.

Please help :)

Answers

Answer:

51°,51°,78°

Step-by-step explanation:

The sum of angles in a triangle add up to 180°

1-0.4^n>=0.99 howwwwwwwwwwwwwwwwwwwwwwwwww

Answers

Answer:

n>=6

Step-by-step explanation:

1-0.4ⁿ>=0.99

1-0.99>=0.4ⁿ

0.4ⁿ<=0.01

Apply log10:

Log10(0.4ⁿ)<=log10(0.01)

n×log10(0.4)<=log10(0.01)=-2

Because log10(0.4)=-0.39794 is negative we get:

n>=5.028.

Since n is integer, we have n>=6

Is this right?? If not please tell me the answers

Answers

yes all of these are correct

Answer:

TAMA PO

Step-by-step explanation:

Paki brainliest nadin po

Place the steps for finding f-1(x)

Answers

9514 1404 393

Answer:

  B, C, H, D, F, A

Step-by-step explanation:

Starting with y = f(x), swap x and y to get x = f(y), then solve for y. The solution steps "undo" what is done to y, in reverse order. Y is ...

multiplied by 721 subtracted from the productthe square root of the difference

To "undo" these steps in reverse order, after swapping x and y, you must square both sides, add 21, then divide by 7.

If the left tiles are labeled A to H from top to bottom, the correct sequence of steps is ...

  B, C, H, D, F, A

help pls, stuck on this

Answers

Answer:

Step-by-step explanation:

in the past year bill watch 64 movies that he thought were very good he watched 80 movies over the whole year of the movies he watched what percentage did he rate as very good​

Answers

Answer:

he rate it 16%

Step-by-step explanation:

64-80\100=16

09:30 am - 4:30 pm minus 30 minutes?

Answers

Answer:

4:30

because 9:30 minus 4:30 = 5:00 and 5:00 minus 30 =4:30

Hello!
i need help with question 67 & 68

Answers

Answer:

67. A

68. D

Step-by-step explanation:

I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!

What is the equation of the line that is perpendicular to
the given line and has an x-inter cept of 6?
O y = x + 8
O y = x + 6
O y = fx-8
O y=x-6

Answers

Answer:

the last one, y=x-6

Step-by-step explanation:

it is the only answer with an x-intercept of 6. you did not provide the line, but I'm assuming it is y=-x.

1. Write 3.3.3.3.3 as a power.​

Answers

Answer:

3^5

Step-by-step explanation:

On the iPad it looks like that but the five is on the top right smaller

Answer:

3⁵

every 3 has it own power that is 1 however that .3 confused us

Find the area of the shaded region. Round to the nearest tenth. 11.1m 130°
Area = [ ? ] m²​

Answers

The area of the shaded region is 294.5 m².

What is the area of the entire circle?

The area of the entire circle is calculated as follows;

A = πr²

where;

r is the radius of the circle

A = π ( 11.1² )

A = 387.1 m²

The area of the sector is calculated as follows;

A = ( θ/360 ) πr²

A = ( 130/360 ) x π ( 11.1² )

A = 139.8 m²

The area of the triangle is calculated as follows;

A = ¹/₂ ( sinθ )r²

A = ¹/₂ ( sin 130 ) (11.1²)

A = 47.2 m²

Area of the unshaded region is calculated as;

A' = 139.8 m²  -  47.2 m²

A' = 92.6 m²

The area of the shaded region is calculated as follow;

A'' = 387.1 m² - 92.6 m²

A'' = 294.5 m²

Learn more about area of shaded region here: https://brainly.com/question/14989383

#SPJ1

which pair of fractions are equivalent? 2/3 and 12/9 20/40 and 45/ 55 20/40 and 4/8 5/5 and 25/50​

Answers

Answer:

[tex]\frac{20}{40} \ and \ \frac{4}{8} \ is \ equivalent[/tex]

Step-by-step explanation:

1.

[tex]\frac{2}{3} \ and \ \frac{12}{9} \\\\\frac{2}{3} \ and \ \frac{4}{3}\\\\Not \ equivalent[/tex]

2.

[tex]\frac{20}{40} \ and \ \frac{45}{55}\\\\\frac{1}{2} \ and \ \frac{9}{11}\\\\Not\ equivalent[/tex]

3.

[tex]\frac{20}{40} \ and \ \frac{4}{8}\\\\\frac{1}{2} \ and \ \frac{1}{2} \\\\Equivalent[/tex]

4.

[tex]\frac{5}{5} \ and \ \frac{25}{50} \\\\\frac{1}{1} \ and \ \frac{1}{2} \\\\not \ equivalent[/tex]

2/3 and 12/9 are not equivalent since 12/2 isn’t equal to 9/3.
➡️ 6 isn’t equal to 3.

20/40 and 45/55 are not equivalent since 45/20 isn’t equal to 55/40.
➡️ 2.25 isn’t equal to 1.375.


20/40 and 4/8 are equivalent since 20/4=40/8
➡️ 5=5


5/5 and 25/50 are not equivalent since 25/5 isn’t equal to 50/5.
➡️ 1 isn’t equal to 10

rotation 180 degrees about the origin.​

Answers

Answer:

Take the picture you uploaded.

Click the rotate button twice.

Done

a bag contain 3 black balls and 2 white balls.
1. A ball is taken from the black and then replaced, a second is taken. what is the probabilities that.

(a) there are both black,
(b)one is black one is white,
(c) at lease one is black,
(d) at most one is one is black.

2. find out if all the balls are chosen without replacement.

please kindly solve with explanation. thank you.​

Answers

Answer:

Step-by-step explanation:

Total number of balls = 3 + 2 = 5

1)

a)

[tex]Probability \ of \ taking \ 2 \ black \ ball \ with \ replacement\\\\ = \frac{3C_1}{5C_1} \times \frac{3C_1}{5C_1} =\frac{3}{5} \times \frac{3}{5} = \frac{9}{25}\\\\[/tex]

b)

[tex]Probability \ of \ one \ black \ and \ one\ white \ with \ replacement \\\\= \frac{3C_1}{5C_1} \times \frac{2C_1}{5C_1} = \frac{3}{5} \times \frac{2}{5} = \frac{6}{25}[/tex]

c)

Probability of at least one black( means BB or BW or WB)

 [tex]=\frac{3}{5} \times \frac{3}{5} + \frac{3}{5} \times \frac{2}{5} + \frac{2}{5} \times \frac{3}{5} \\\\= \frac{9}{25} + \frac{6}{25} + \frac{6}{25}\\\\= \frac{21}{25}[/tex]

d)

Probability of at most one black ( means WW or WB or BW)

[tex]=\frac{2}{5} \times \frac{2}{5} + \frac{3}{5} \times \frac{2}{5} \times \frac{2}{5} + \frac{3}{5}\\\\= \frac{4}{25} + \frac{6}{25} + \frac{6}{25}\\\\=\frac{16}{25}[/tex]

2)

a) Probability both black without replacement

  [tex]=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}[/tex]

b) Probability  of one black and one white

 [tex]=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}[/tex]

c) Probability of at least one black ( BB or BW or WB)

 [tex]=\frac{3}{5} \times \frac{2}{4} + \frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{6}{20} + \frac{6}{20} \\\\=\frac{18}{20} \\\\=\frac{9}{10}[/tex]

d) Probability of at most one black ( BW or WW or WB)

 [tex]=\frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{1}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{2}{20} + \frac{6}{20} \\\\=\frac{14}{20}\\\\=\frac{7}{10}[/tex]



Let f(x) = 2x + 8, g(x) = x² + 2x – 8, and h(x)
Perform the indicated operation. (Simplify as far as possible.)
(g - f)(2) =

Answers

the answer is (g-f)(2)

halla la suma y el producto de la PG 3,9,27,81,243​

Answers

Answer:

huh ano yan huhu paki ayos ng sagot

Step-by-step explanation:

hahahhaa

Given right angle ABC, what the value of tan(A)?
5/13
12/13
12/5
13/12
need answer asap

Answers

Hi there!

[tex]\large\boxed{12/5}}[/tex]

tan (angle) = Opposite side / Adjacent side, so:

Tan (A) = opposite side / adjacent side

= 24 / 10

Simplify:

= 12 / 5

Approximately 10% of all people are left-handed. Consider a grouping of fifteen people.

Write the probability distribution

Answers

Answer:

Step-by-step explanation:

Answer:

15*.1=1.5

so either one or two people of the 15 would be left handed

The mean of a data set is observed to be very different from its median, representing a strong skewness. However, the 1.5 IQR rule reveals that there are no outliers. Which of the following is correct, if the sample size is 100?

a. A normal quantile plot of the data follows a diagonal line, and the t-procedure is appropriate to use.
b. A normal quantile plot of the data does not follow a diagonal line, and the t- procedure is not appropriate to use.
c. A normal quantile plot of the data follows a diagonal line, and the t-procedure is not appropriate to use.
d. A normal quantile plot of the data does not follow a diagonal line, and the t- procedure is appropriate to use.

Answers

Answer:

a. A normal quantile plot of the data follows a diagonal line, and the t-procedure is appropriate to use.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Sample size of 100 > 30, which means that we use the Central Limit Theorem, and thus, the sampling distribution is approximately normal, following a diagonal line, and since the standard deviation of the population is not know, we use the t-procedure. Thus, the correct answer is given by option a.

How do I solve this?

Answers

Answer: 3

Step-by-step explanation: m=2 so 7.5x2 = 15

15/5 is 15 divided by 5 so the answer is 3

Answer: 3


Step 1: Rewrite equation

To start off, I find it helpful to rewrite the equation. This will give a better understanding of the problem we are working with.

7.5m/5

Step 2: Substitute information

Now that we know our equation, we can substitute the information we are given. In this case, we are made aware that m is equal to 2. Let’s change 7.5m to 7.5(2).

7.5m/5
7.5(2)/5

Step 3: Solve

To solve our problem, we must first start with the top part of the equation, which tells us to multiply 7.5 by 2. Then, we must divide that by the number on the bottom part of the equation, which is 5. Let’s do this now.

7.5(2)/5
15/5
3

This is your answer. The equation equals 3. Hope this helps! Comment below for more questions.

Yalll ya gurl is struggling I need help SOS

Answers

Answer:

22 mi

Step-by-step explanation:

From the question given above, the distance from E to F is 6 in.

Thus, we can obtain the distance from E to F (i.e mi) by using the scale provided in the question. This is illustrated below:

3 in = 11 mi

Therefore,

6 in = 6 in × 11 mi / 3 in

6 in = 22 mi

Therefore, the distance from E to F is 22 mi

X⁴-6x²-7-8x-x² what is the answers

Answers

Answer:

X⁴-7x²-8x-7

Step-by-step explanation:

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