A data set consisting of newborn baby weights is normally distributed (bell-shaped) with a mean of 9.5 pounds
and standard deviation of 1.5 pounds.
Use the Empirical Rule to address the following questions.
Hint: sketch the distribution to help visualize the problem.
Approximately 99.7% of the newborn weights lie between
What approximate percentage of the newborn weights lie between 8 and 11 pounds?
and
What approximate percentage of the newborn weights lie between 6.5 and 12.5 pounds?

A Data Set Consisting Of Newborn Baby Weights Is Normally Distributed (bell-shaped) With A Mean Of 9.5

Answers

Answer 1
Approximately 99.7% of the newborn weights lie between 5 pounds and 14 pounds.The percentage of weights between 8 and 11 pounds is of 68%.The percentage of weights between 6.5 and 12.5 pounds is of 95%.

What is defined by the Empirical Rule?

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:

68% of the measures within one standard deviation of the mean.95% of the measures within two standard deviation of the mean.99.7% of the measures within three standard deviation of the mean.

More can be learned about the Empirical Rule at brainly.com/question/10093236

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Related Questions

can someone help me solve this please :)

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Answer:

Step-by-step explanation:

Can someone help me some of my answer are Incorect thank you

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Answer:

just to help you i dont know the answers but you should hide the link because everyone can  find your location

50 PONITS
If you travel 82 km in 40 minutes, what is your speed in km/h?

Answers

Answer:

123 km/h

Step-by-step explanation:

the formula for the unit rate would be 82/40

82 divided by 40 is 2.05km/m

Then you have to convert 2.05 km/m to km/h

multiply 2.05 times 60 and your answer is 123 km/h

Answer: 123 km/h

Step-by-step explanation:

The Inconsistent Books store changes the normal prices of books on Mondays and Tuesdays. On Monday the price of a book is 10% above the normal price. On Tuesday the price is 10% below the normal price. Sarah bought a book on Monday for $16.50. Would would be the price of that book on a Tuesday?

Answers

13.365 would be the price of that book on tuesday.

The perimeter of a square painting is 340 centimeters. How long is each side?

Answers

Answer:

90

Step-by-step explanation:

the perimeter is the sum of all side .. therefore 360 divided by 4 because the square has 4 sides so equivalent to 90

Which of the following polynomials does not have real roots?

A. 12x² - 17x - 7

B. x² + x - 2

C. x² + x + 2

D. x² + 5x + 6

Please help!!!​

Answers

Answer:

b

Step-by-step explanation:

Here are several function rules. Calculate the output for each rule when you use -6 as the input.

Answers

Answer:

1. -13

2. 36

3. -2

4. -.5

5. -6x

6. -216cm

find the area of the composite figure.​

Answers

Answer:

24

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

Evaluate 2a + 4b
If a=10 and b=6

Answers

Answer:

44

Step-by-step explanation:

2a     +  4b                a= 10    &     b=6

2(10) +  4(6)

20    +   24

44

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x^2+5/4x

Answers

Let's work backwards.

The answer will be in the form (x+a)^2 for any real number a

Now the expansion will be x^2+2ax+a^2.

We can see just from this that 2a=5/4

a=5/8

The result binomial should be x+5/8

Resulting binomial squared expansion should be x^2+5/4x+25/64

The term we need to add will be 25/64

HELP QUICK GIVING 25 POINTS, Also use distrib property!!
Evaluate f(x) ∙ g(x) by modeling or by using the distributive property.
f(x) = (−3x^2 + 2) and g(x) = (−2x^3 − 5x + 4)

Answers

Answer:

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

(-3x^2 + 2) x (-2x^3 - 5x + 4)

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8

How many
liters of paint needed to paint a room
that is 96 meter square if 1 liter of
paint covers 5 meter square
5 meter Square meters

Answers

Answer:

19,2 l

Step-by-step explanation:

It's given that the area = 96 [tex]m^{2}[/tex]

// make a proportion

1 liters - 5 [tex]m^{2}[/tex]

x liters - 96 [tex]m^{2}[/tex]

x = 96/5 = 19,2 (l)

Selena has been practicing archery at camp. In her first 20 attempts, she hut the target 12 times. Assume her success rate is the same in her next 100 attempts, how many times will she hit her target in 45 attempts​

Answers

Answer:

22-23 I believe

sorry if it's wrong

Does side lengths 4, 8 and 12 form a right triangle?

Answers

Answer:

No it does not form a triangle.

Step-by-step explanation:

If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

no it doesn’t form a right triangle

An economist wants to predict the Gini of the US by Year. Select the answer choice that correctly interprets R-Squared. Group of answer choices 0.451751 is the proportion of variability of Gini Coefficient unexplained by our least squares line. 0.451751 is the proportion of variability of Years explained by our least squares line. 0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines 0.451751 is the proportion of variability of Years unexplained by our least squares line.

Answers

Answer:

0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines

Step-by-step explanation:

Given

[tex]R\ squared = 0.451751[/tex]

To predict: Gini by year

Required

Interpret the R squared

In statistics, r squared measures the extent to which the variance of one variable explains the variance of the other variable.

In this question, the variable to predict is Gini:

From the list of options, (c) is correct

HELPPPPP!!!!!!!!!!!!!!

Answers

Answer

0.75 or 3/4 is the answer (degree)

I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them

0.75 or is the answer for this question

5. Which ordered pair could be added to the
relation below to ensure it continues to be a
function?
(-7, 9), (4, -1), (0, 5), (-2,-2)
A. (4,-4)
B. (5,0)
C. (0, -3)
D. (-7, -1)

Answers

B. Because the inputs will not repeat

what is the approximate area of the circle below?​

Answers

area of circle: pi(r)^2
diameter is 16 so radius is 8

pi(8)^2
64pi is about 201

answer: 201 cm^2

precalc! 50 points! please someone help me i’ll do anything for you

Answers

Step-by-step explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]

[tex]25 + 1 = r {}^{2} [/tex]

[tex]26 = r {}^{2} [/tex]

[tex]r = \sqrt{26} [/tex]

Now let find the sin, csc, and tan.

To find sin let use the formula

[tex] \frac{y}{r} [/tex]

[tex] \frac{1}{ \sqrt{26} } [/tex]

Rationalize the denominator

[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]

[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]

To find cosecant, it is the reciprocal of sin so it would be

[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]

To find tan, do

[tex] \frac{y}{x} [/tex]

Which is simply

[tex] \tan= \frac{1}{ - 5} [/tex]

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

I’m really having trouble on this, can anyone help?

Answers

Answer:

the first box is proportional but the second is not

thus; y is (4/3)x for the first illustration

5) Find the area of the composite figure.
15
9 in
I ㅗ
20
3
A
then find the

Answers

Answer:

HOPE IT HELPS THANK ME LATER.

g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability that there are 2 black balls and 2 white balls in the sample if .50 Each ball is replaced before the next one is drawn (sampling with replacement). .624 Each ball is not replaced (sampling without replacement)

Answers

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Sampling with replacement:

I consider a success choosing a black ball, so [tex]p = \frac{50}{150+50} = \frac{50}{200} = 0.25[/tex]

We want 2 black balls and 2 white, 2 + 2 = 4, so [tex]n = 4[/tex], and we want P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109[/tex]

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so [tex]N = 200[/tex]

Sample of 4, so [tex]n = 4[/tex]

50 are black, so [tex]k = 50[/tex]

We want P(X = 2).

[tex]P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116[/tex]

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Imagine that you have 1 dollar, 2 quarters, 3 nickels and 5 pennies in your wallet. What percent of a dollar do you have in your wallet?

Answers

$1 + $0.50 + $0.15 + $0.05
= $1.70 = 1.7 percent

Answer:

Step-by-step explanation:

%/100=1+2(.25)+3(.05)+5(.01)

%/100=1.7

170%

what do when you have 187,599742 and you have to take away 7937

Answers

Answer:

187,591,805

Step-by-step explanation:

187,599,742 - 7937 = 187,591,805

HTH :)

Your job in a company is to fill quart size bottles of oil from a full 150- gallon oil tank. Then you are to pack 24 quarts of oil in a case to ship to a store. How many full cases of oil can you get from a full 150- gallon oil tank?

Answers

Answer:

25

Step-by-step explanation:

I gallon is 4 quarts so that would be a 600 quarts oil tank so since each case is 24 quarts 600/24 = 25

150 gallons of oil is equivalent to 600 quarts. A full 150-gallon oil tank can yield 25 full cases, with each case containing 24 quarts

The concept used to solve the problem is conversion:

The conversion factor that 1 gallon is equal to 4 quarts.

Given that,

Job: Fill quart-size bottles of oil from a full 150-gallon oil tank.

Packaging: Pack 24 quarts of oil in a case to ship to a store.

Tank Capacity: The oil tank is full and has a capacity of 150 gallons.

Convert the measurements to a common unit.

Since we have to fill quart-size bottles,

Convert 150 gallons to quarts.

Since 1 gallon is = 4 quarts,

So 150 gallons would be 150 x 4 = 600 quarts.

To determine how many full cases of oil we can pack from 600 quarts. Each case contains 24 quarts.

To find the number of cases,

Divide the total number of quarts by the number of quarts per case:

600 quarts ÷ 24 quarts/case

= 25 cases.

Therefore,

You can get 25 full cases of oil from a full 150-gallon oil tank.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

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PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!

Answers

Answer:

First question: Choice A

second question:Choice D

Third question: Choice c

Fourth question: Choise b

5th Question: choice b

Find the Area: 13 in | 4 in 7 in 24 in​

Answers

Answer:

242 inches²

Step-by-step explanation:

area = (1/2) · (p + q) · h (trapezoid formula)

(1/2)(13+24)(4)= 74

area= bh (rectangle)

(24)(7)= 168

168+74= 242

Help me find the hight explain

Answers

Answer:

h = 26cm

Step-by-step explanation:

V = (l w h)/3

so the volume of the first one is

20*12*13 /3= 1040

1040 = 12*10*h/3

3120 = 120h

h = 26

The answer is C. 23 cm

Please help meee I wanna get out of this class already

Answers

Answer:

The answer is D.

Answer:

a

Step-by-step explanation:

What is the factored form of this expression?
216p6 + 1
(3p – 1) (3p + 1) (6p2 – p2 + 1)
(3p – 1) (3p + 1) (36p4 + 6p2 + 1)
(6p2 + 1)(36p4 - 6p2 + 1)
o 6p2 – 1) (36p4 + 6p2 + 1)

Answers

The correct answer would be
(6p2+1)(36p4+6p2+1)
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