For the same random sample of adult women, with a sample mean height of x¯=64.3 inches and sample standard deviation of s=2.4 inches, use the Empirical Rule to determine the approximate percent of heights that lie between 59.5 inches and 69.1 inches.

Round your answer to the nearest whole number (percent).

Answers

Answer 1

Answer:

95%

Step-by-step explanation:

Mean , xbar = 64.3; standard deviation, s= 2.4

Using the empirical formula where ;

68% of the distribution is within 1 standard deviation from the mean ;

95% of the distribution is within 2 standard deviation from the mean

percent of heights that lie between 59.5 inches and 69.1 inches.

Number of standard deviations from the mean /

Z = (x - μ) / σ

(x - μ) / σ < Z < (x - μ) / σ

(59.5 - 64.3) / 2.4 < Z < (69.1 - 64.3) / 2.4

-2 < Z < 2

Thia is within 2 standard deviations of the means :

2 standard deviation form the mean = 95% according to the empirical rule.


Related Questions

Directions: Simplify the following expressions. 1. (3x-10)² 6. (-15y + 3)² 7. (q-2r) (q + 2r) 8. (m-6)³ 9. (u−5)(u+ 5) 10. (x + 2) ³ 2. (12az-11b)² 3. (3b² + 2v) ( (3b²-2v) 4. (2v + 3w)³ 5. (2t+4y) (41²-8ty + 16y2)​

Answers

Answer:

1. 9x^2-60x+100

6. 225y^2-90y+9

7. q^2-4r^2

9. u^2-25

10. x^3+6x^2+12x+8

2. 144a^2z^2-264abz+121b^2

3. 9b^4-4v^2

4. 8v^3+36^2w+54vw^2+27w^3

5. -16t^2y+64y^3+3362t+6724y

Step-by-step explanation:

There you go

If the radius of the planet Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km. What is the percent error when calculating the volume of the planet? Round your answer to 2 decimal places. Your answer

Answers

Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.

The percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.

What is the error?

The difference between the measured and analysis of the financial statements might well be defined as an error. For instance, if the two operators use the same complete and precise tool.

We have:

If the radius of the planet Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.

The radius r = (3350 ± 100) km

As we know, volume can be defined as a three-dimensional space enclosed by an object or thing.

V = (4/3)πr²

The percent error:

= [(experimental value - accepted value)/experimental value]×100

The percent error in volume = 3(100/3350)×100

The percent error in volume = 8.95%

Thus, the percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.

Learn more about the error here:

https://brainly.com/question/22248350

#SPJ2

40 people attended the play. 15 were women, 10 were men, and 15 were children. what fraction were men?​

Answers

Answer:

10/40 were men, or simplified the amount is 1/4 of the total is men

Solve for x given that AC = 4, CE = 8, AB = X - 8, and BD = 2.


What is the measurement of AB?

Answers

I don’t think this is possible to dive because there’s not enough information in the problem to solve for x/AB
Sry- hope that helps in some way :)

Find the diameter of a circle with a circumference of 34.54 yards. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

C = π d

3.14 d = 34.54

d = 11 yards

Answer:

Step-by-step explanation:

C = πD

D = C/π

D = 34.54 / 3.14

D = 11 yards

Write an equation in POINT-SLOPE for a line parallel to y=-2/3x+1 and goes through (5,-2)

Answers

Answer: y-(-2)=-2/3(x-5)

Step-by-step explanation:y-y1=m(x-x1)

Plug-in

6 wholes and 1/3 converted into decimal?

Answers

Answer:

6 is a whole number.

[tex]\frac{1}{3}[/tex] is approximately equal to 0.333, but this is a repeating decimal.

A 30-foot string of lights will be attached to the top of a 24-foot pole for a holiday display. How far from the base of the pole should the end of the string of lights be anchored?

Answers

Answer:

6

Step-by-step explanation:

Isn't it 6 because that the distance between 30 and 24

simplify 8x-5-10x+7 GCF

Answers

Answer:

-2x + 2

Step-by-step explanation:

In 2020 researchers took random samples to compare the proportion of adult females to the proportion of adult males who use 2 or more credit/debit cards. The adults were aged 21 and older and they lived in all areas of the U.S. Based on the data collected, the researchers computed a 96 percent confidence interval for the true difference between the proportions of adult females minus the proportion of adult males who use 2 or more credit/debit cards. The confidence interval is: (0.013, 0.049). Assume all checks have been verified.
Question:
Choose the best answer below concerning the confidence interval for the difference between the true proportions of adult females minus the true proportion of adult males who use 2 or more credit/debit cards.

Answers

Using the z-distribution, it is found that the correct option is:

[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]

A confidence interval is given by:

[tex]p \pm zs[/tex]

In which:

p is the estimate of the proportion.z is the critical value.s is the standard error.

In this problem, the proportions are:

A proportion [tex]p_1[/tex] in a sample of size [tex]n_1[/tex].[tex]p_2[/tex] in a sample of size [tex]n_2[/tex].

Hence, the standard errors are:

[tex]s_1 = \sqrt{\frac{p_1(1 - p_1)}{n_1}}, s_2 = \sqrt{\frac{p_2(1 - p_2)}{n_2}}[/tex]

When two proportions are subtracted, the estimate is the subtraction of proportions, while the standard error of the subtraction is the square root of the sum of each standard error squared, hence:

[tex]p = p_1 - p_2[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]

Thus, the interval is:

[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]

A similar problem is given at https://brainly.com/question/12517818

help please please help​

Answers

Answer:

24/35

Step-by-step explanation:

Hope this helps!:)

HELP PLS ANSWER IT FR FR
A The results of a survey question “How many minutes does it take you to eat breakfast?” are shown. Which of the following charts represents the given data?

Answers

Answer:

Chart A

Step-by-step explanation:

Find the slope of the line that passes through (19, 72) and (20, -1).

Answers

Step-by-step explanation:

please mark me as brainlest

Can someone please help me

Answers

Answer:

that is so hard sorry

Luke has 75 Vbucks in his account he spends 5 Vbucks every 2 hours. At this rate how many hours did it take for all 75 V bucks to be drained from his account?

Answers

Answer:

30

Step-by-step explanation:

i did the math lol

Answer:

Can I have some vbucks?

1[tex]\sqrt{5}[/tex]*3[tex]\sqrt{5}[/tex]

Answers

Answer:

[tex]1\sqrt5 \times 3\sqrt 5 =(1\times3)(\sqrt5\times\sqrt5) = 3\times (\sqrt5)^2=3\times 5=15[/tex]

hehehejejwjjejejjejejwkwkwkekekejjeue

Answers

Answer: The last answer is correct.

Step-by-step explanation:

Help help help help math

Answers

Answer:

<6 = 158°

Step-by-step explanation:

we know a = 6

22 + a = 180

a = 180 - 22

a = 158

(2+i)(4-i)

Write it out in the form of a + bi

Can you guys help me out please?

Answers

Answer:

9+2i

Step-by-step explanation:

FOIL method, see attached pic

How do you solve this

Answers

Answer:

x > 3

Step-by-step explanation:

And then, I believe you just need to solve that answer. But I'm not sure tho

I don’t know the awnser :)

A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
of 20 ounces and a standard deviation of 2.3 ounces. Let Y be the weight of a randomly chosen toco toucan. Which of
the following correctly interprets the value of P(Y < 16)?
Find the Z-table here.
O P(Y< 16) = 0.50. About 50% of all toco toucans weigh less than 16 ounces.
OP(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces.
O P(Y < 16) = 0.959. About 95.9% of all toco toucans weigh less than 16 ounces.
P(Y < 16) = 0.041. About 4.1% of the toco toucans from this group weigh less than 16 ounces.
O P(Y< 16) = 0.959. About 95.9% of the toco toucans from this group weigh less than 16 ounces.

Answers

Using the normal distribution, it is found that the correct option is:

P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

Mean of 20 ounces, hence [tex]\mu = 20[/tex].Standard deviation of 2.3 ounces, hence [tex]\sigma = 2.3[/tex]

P(Y < 16) is the p-value of Z when X = 16, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 20}{2.3}[/tex]

[tex]Z = -1.74[/tex]

[tex]Z = -1.74[/tex] has a p-value of 0.041.

This is valid for the entire population, hence, the correct interpretation is:

P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces

A similar problem is given at https://brainly.com/question/24663213

What is the equation of this line?

y=6x−14

y=14x−6

y=6x−4

y=4x−6

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 200 bacteria that grow at a rate of 2% per hour. He will check on the bacteria every 7 hours. How many bacteria will he find in 7 hours? Round your answer to the nearest whole number.

Answers

The population of the bacteria after 7 hours is 230 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 200 bacteria, hence

a = 200

The bacteria grow at a rate of 2% per hour, hence:

b = 100% + 2% = 1.02

The exponential equation becomes:

y = 200(1.02)ˣ

After 7 hours:

y = 200(1.02)⁷ = 230

The population of the bacteria after 7 hours is 230 bacteria.

Find out more at: https://brainly.com/question/12490064

Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.

Answers

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

factor and solve the zeros for the following x^2+10x-75=0

Answers

x=5,−15 I know I took it

How many factor pairs does 15 have

Answers

Answer:

It has a total of 4 the factors are 1,3,5, and 15

help pls and thank you​

Answers

Answer:

7x3=21 3x7=21

Answer:

two correct answers are:

1 x 21= 21

3 x 7= 21

I don’t understand this question can you please help me ?.

Answers

Answer:

Girl: YES = 12 ; NO = 38

Boy: YES = 29 ; NO = 21

Total: YES = 41 ; NO = 59

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Girl yes=12;no=38 boy yes=29 no=59 and Yes=41 and no =59

Mark used 14 bananas, 15 oranges, and 24 strawberries in his fruit salad.
Dani used 7 bananas, 9 oranges, and 12 strawberries. Did Mark and Dan
use the same ratio of bananas to strawberries? *

Answers

Answer:

yes-

Step-by-step explanation:

im not to sure if its right but

7+7=14

12+12=24

Three cards are dealt from a shuffled standard deck of playing cards. Find the probability that the first card dealt is red, the second is black, and the third is red. (Enter your probability as a fraction.)

Answers

There are 52 cards in a deck, half the cards aware red and half the cards are red.

First card being red is 26/52 = 1/2

After the first card is dealt there are 51 cards left and 26 are black so dealing a black card = 26/51

After 2 cards are dealt there are 50 cards left and 25 red ones left. The probability would be 25/50 = 1/2

The probability of all 3 happening = 1/2 x 26/51 x 1/2 = 13/102

Answer: 13/102

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