The weight of an adult standard poodle was found to follow a normal distribution with a mean of 50 pounds and a standard deviation of 15 pounds. If represents the mean weight of a random sample of 7 adult standard poodles, what is (round off to second decimal place)

Answers

Answer 1

Using the Central Limit Theorem, it is found that the distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

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].

In this problem, for the population, [tex]\mu = 50, \sigma = 15[/tex].

Sample of 7, hence [tex]n = 7, s = \frac{15}{\sqrt{7}} = 5.67[/tex]

The distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

A similar problem is given at https://brainly.com/question/25606713


Related Questions

2) Subtract and simplify. 11 7\10 − 7 3\10 =

Answers

Answer:

4 2/5

Step-by-step explanation:

     11 7/10

-      7 3/10

----------------

      4 4/10

4 4/10 = 4 2/5

1. What kind of sequence is this? 44, 57, 70, 83, .. arithmetic ,geometric,
both , neither ​

Answers

Answer:

arithmetic

Step-by-step explanation:

arithmetic

There is a common difference of 13 between each term.

Last year, wind turbines along a hilly ridge had an average output of 390 kilowatt hours per
year. The turbines were upgraded, and now their average annual output is 30% more. What
is the new average yearly output?
kilowatt hours
Submit

Answers

Answer:

507 KW/h

Step-by-step explanation:

Initial output:

390 KW/h

Upgraded output:

30% more

Find the upgraded output in number:

390 + 30% of 390 =390 + 390*30/100 =390*1.3 =507

Average output=390KW

Updated percentage=30%

Updated output:-

[tex]\\ \sf\longmapsto 30\%\:of\:390[/tex]

[tex]\\ \sf\longmapsto 0.3(390)[/tex]

[tex]\\ \sf\longmapsto 117[/tex]

New output=390+117=507KW

Choose the missing step in the given solution to the
inequality -X - 10 > 14 + 2x.
_X
- 10 > 14 + 2x
-3X - 10 > 14
x<-8
0 -3x > 24
0 -3x > 4
0-3x>.
- 4
0 -3x < 24

Answers

Answer:

Step-by-step explanation:

A snack company makes packages of grapes and honeydew slices. The weight of an individual package of
grapes, G, is approximately Normally distributed with a mean of 3.25 ounces and a standard deviation of 0.91
ounces. The weight of an individual package of honeydew slices, H, is approximately Normally distributed with a
mean of 4.51 ounces and a standard deviation of 2.02 ounces. Assume G and H are independent random
variables. Let D=G-H. What is the probability that a randomly selected package of grapes weighs more than a
randomly selected package of honeydew slices?
O 0.127
O 0.230
0.284
0.334

Answers

Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], 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. When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In this problem, for each variable, [tex]\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02[/tex]

For the subtraction, we have that:

[tex]\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26[/tex]

[tex]\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155[/tex]

The probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.

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

[tex]Z = \frac{0 - (-1.26)}{2.2155}[/tex]

[tex]Z = 0.57[/tex]

[tex]Z = 0.57[/tex] has a p-value of 0.7157.

1 - 0.715 = 0.284

0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

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

Jonas is conducting an experiment using a 10-sided die. He determines that the theoretical probability of rolling a 3 is StartFraction 1 over 10 EndFraction. He rolls the die 20 times. Four of those rolls result in a 3. Which adjustment can Jonas make to his experiment so the theoretical and experimental probabilities are likely to be closer?

A.He can decrease the sample space.
B.He can increase the sample space.
C.He can decrease the number of trials.
D.He can increase the number of trials.

Answers

Answer:

A. He can decrease the simple spacw

Answer:

D. He can increase the number of trials

What is the rectangular form of theta = 3pi/4?

Please answer this question if you 100% know this answer.

a. x - y = 0
b. x - y = 1
c. x + y = 0
d. x + y = 1

The answer was not a.

Answers

Answer:

  c.  x + y = 0

Step-by-step explanation:

The terminal ray of the angle θ = 3π/4 extends to the upper left through the 2nd quadrant with a slope of -1. It lies on the line ...

  y = -x

  x + y = 0 . . . . . . add x to get this standard form equation

can someone PLEASE help me with this!? I’ve been trying to find the answer but I just couldn’t find it. I’m behind in math and this was due four days ago!!

Answers

Answer:

{-2}

Step-by-step explanation:

Answer:

B)-2

Step-by-step explanation:

In functions, X is your input. Y is the output unless specifically stated otherwise :P

Brainliest? <3

Which number(s) is/are greater than 125%?
-1.26
0.125
12/5
8/6
Pick 2

Answers

12/5 12/5. 12/5 hdhfhd y hh

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

g(x) = x(x-2)^2(x-3) -3

Step-by-step explanation:

the translation from f(x) to g(x) is right 1 down 3.

vertical translations are easier since you just add the amount to everything. so we have f(x) - 3 = (x-1)^2(x-2)(x+1) -3.

for the horizontal translation, we make every x into x-1, so now we have (x-1-1)^2 (x-1-2) (x-1+1) - 3 or (x-2)^2(x-3)x -3

looking at the answers it is g(x) = x(x-2)^2(x-3) -3

the interval [2, 4] is divided into n equal subintervals of length delta x. What is delta x (in terms of k and n)

Answers

Each subinterval would have length ∆x = (4 - 2)/n = 2/n

after how many years will £6,000.00 yield a simple interest of £900.00 at 3%​

Answers

Answer:

add 1 Century to divide £6 000 000

Answer:

the answer to your question is 105 I think sorry if it's not

Pls help me with these Worksheets :(
My brain cells aren't working lol



(AGAIN IF YOU DON'T KNOW THE ANSWERS PLS JUST IGNORE THIS!)

Answers

Answer:

I'm sorry. It's messy ik.

For number 5 that I haven't done, I don't get the answer :((( so...

But basically, the speed is found by multiplying the distance and time. The distance is the same either you go upstream or downstream. Hope it help!

Answer:

Step-by-step explanation:

I'll do #5 second page

let (v) be rowing velocity in still water

let (s) be the stream velocity

d = vt

going downstream

24 = (v + s)4

24 = 4v + 4s

4s = 24 - 4v

s = 6 - v

going upstream

24 = (v - s)6

24 = 6v - 6s

24 = 6v - 6(6 - v)

24 = 6v - 36 + 6v

60 = 12v

v = 5 km/hr

s = 6 - 5 = 1 km/hr

     

Anyone know the answer to this plz ​

Answers

Answer:

Domain: -10 < x < 10

Range: -2 < y < 8

Step-by-step explanation:

Hope this helps!

Find the equation of the line through (2,1) which is parallel to the line y=−7x−1.
Give your answer in the form y=mx+b

Answers

Answer:

y=-7x+15

Step-by-step explanation:

(10 points!!!) AND I’LL GIVE YOU BRAINLIEST IF CORRECT

I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!

Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?

Use the table to answer:

Answers

Answer:

of which class is it ?

Step-by-step explanation:

???????.................

solve for x, x-c=r+d/y

Answers

Answer:

D

Step-by-step explanation:

x - c = (r + d)/y                   for x

x = (r +d)/y + c          common denominator : (c/1) (y/1)  = yc

x = (r + d)/y + yc

x =   (yc + r + d)/ y                              

Jett is 6 feet 2 inches tall. How tall is he in inches ?

Answers

Answer:

74in

Step-by-step explanation:

Jett is 74 inches tall, as of the given unit conversion condition.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
1 feet = 12 inches

So,
6 feet 2 inch = 6 feet + 2 inch
                    = 6 × 12 inch + 2 inch
                    = 72 + 2
                   = 74 inches

Thus, Jett is 74 inches tall, as of the given unit conversion condition.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Your deductible expenditures are $8236 for interest on a home mortgage, $3528 for contributions to charity, and $634 for state income taxes. Your filing status entitles you to a standard deduction of $12,200. Should you itemize your deductions rather than claiming the standard deduction? If so, what is the difference?​

Answers

Answer:

yes 198

Step-by-step explanation:

Both questions 7 and 8

Answers

9514 1404 393

Answer:

  7.  $10,459.28

  8.  $30,060.93

Step-by-step explanation:

Your table 12-2 will tell you the present-value multiplier of the annual payment for a 10-year annuity due will be ...

  7%: 7.515232

  11%: 6.537048

__

7. The 11% table value will be used with a payment of $1600 to find the present value:

  6.537048 × $1600 = $10,459.28 . . . present value of the annuity due

__

8. The 7% table value will be used with a payment of $4000 to find the present value:

  7.515232 × $4000 = $30,060.93 . . . present value of the annuity due

Assignments
In a lottery, the top cash prize was $633 million, going to three lucky winners. Players pick four different numbers from 1 to 52 and one number from 1 to 41
A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls (1 through 52) and matching the number on the gold ball (1
through 41). What is the probability of winning the minimum award?
Study Plan
Gradebook
The probability of winning the minimum award is
(Type an integer or a simplified fraction

Answers

The probability of winning the minimum award is very small, approximately 1 in 185 million.

To calculate the probability of winning the minimum award, we need to determine the number of possible outcomes and the number of favorable outcomes.

To win the minimum award, the player needs to match two of the white ball numbers and the gold ball number.

There are (4 choose 2) ways to choose two of the four white ball numbers, and there is only one way to choose the gold ball number. Therefore, the number of favorable outcomes is (4 choose 2) × 1.

So, the probability of winning the minimum award is:

(favorable outcomes) / (total outcomes)

= [(4 choose 2) × 1] / [(52 choose 4) × 41]

= (6 × 1) / (26,827,440 × 41)

= 6 / 1,100,701,040

≈ 0.0000000054 or 5.4 × 10⁻⁹

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

last one i’m almost done.

Answers

Answer:

AFC

Step-by-step explanation:

You can tell by the angles

Line l is a reflection in the x-axis of line k. Write an equation that represents line k.

Answers

Answer:

(-4,3)

Step-by-step explanation:

nejsjsjssjsususheheueueyeehejebebe

Answer: y = (5/3)x + -1

Step-by-step explanation:

The slope is -5/3, so since its a reflection in the x - axis, the new slope would be the opposite, 5/3. Now for the +1, you just have to find the y intercept by plotting the dots at the opposite version of the y number that is already there. For example because the point (0,1) has 1 as its y number, you make it into -1, and for example if you have the point (3,-4) since -4 is the y number you change it to 4.

expand and simplify

(y – 2) (+1) (y+3)​

Answers

Answer:

y² + y - 6

Step-by-step explanation:

(y - 2)(+ 1)(y + 3) simplifies to

(y - 2)(y + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

y(y + 3) - 2(y + 3) ← distribute parenthesis

= y² + 3y - 2y - 6 ← collect like terms

= y² + y - 6

Are the two triangles congruent?

Choose 1 answer:


(Choice A)

A-Yes

B-No

C-There is not enough information to say.

Answers

They are not congruent

The bag has 99 buttons. Draw more buttons so there are 105 buttons in all. Write the numbers as you count.

Answers

Answer:

100 101 102 103 104 105

Step-by-step explanation:

im kinda confused

Cuál es la altura (h) del velero

Answers

The answer is 8.72, the question is on the internet

Utilizando propiedades de triángulos rectángulos, veremos que la altura h es igual a 4.28m

Lo primero que debemos notar es que tenemos un triangulo rectángulo. En el podemos ver un ángulo de 55°.

El cateto adyacente tiene una longitud de 3m, y queremos obtener la longitud del cateto opuesto.

Podemos usar la relación trigonométrica:

Tan(θ) = (cateto opuesto)/(cateto adyacente)

Reemplazando los valores que conocemos, obtendremos:

Tan(55°) = h/3m

Tan(55°)*3m = h = 4.28m

La altura h del velero es 4.28m

Sí quieres aprender más, puedes leer:

https://brainly.com/question/22050734

answer this asap please its emergency

Answers

Step-by-step explanation:

emergency ? why ? you are in the middle of a game with such an unfair die ?

the probabilty for a number of a regular die is 1/6 (desired cases divided by total possible cases).

the probability to role an even number is therefore 3/6 = 1/2.

that means, even and odd are the 2 possible outcomes.

now, for the unfair die we can see it as if we have now 4 possible outcomes : 3 times an even number, and 1 time an odd number.

so, the probability to roll an even number is 3/4 (and for an odd number 1/4).

now, we roll it twice.

for the sum to be even, we either have to roll 2 even numbers or 2 uneven numbers.

the probabilty is the sum of the both probabilities (it is an exclusive "or" relationship).

the probability to roll 2 even numbers is

3/4 × 3/4 = 9/16

the probability to roll 2 uneven numbers is

1/4 × 1/4 = 1/16

the sum is

9/16 + 1/16 = 10/16 = 5/8

so, E is the right answer.

Solve the equation.
2x - 3 + 4x = 21
A)x = -12
B)x= -6
C)x= 4
D)x = 6

Answers

Answer:

C. X=4

Step-by-step explanation:

i need help with this please​

Answers

I don’t know what the problem is
Other Questions
Guy help!!! ASAP (free brainliest for answers)(no links bots) -1/3(2p-9) what does p equal its urgent please. my assignment is due in like 30 minutes only right answer no spammers 8x-3y=93x+2y=8(Guys need help on this simultaneous equation) What were the long-term consequences of the Chinese Exclusion Act for US immigration policy? A car is traveling at a speed of 54 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 10 seconds? Do not round your answers. A 60 cm bamboo is divided in the ratio 4: 2 . What is the length of the longer piece? What is the average rate of change between: x = 1 and x = 2? x = 2 and x = 3? x = 3 and x = 4? x y 1 2 3 4 5 4 8 12 Fruit juice when boiled taste sweeter than sucrose because Which of the following most accurately describes what affects Earth's ocean tides?The Sun and Moon, but the Sun impacts Earth's tides more because it is closer in distance to the Earth.The Sun and Moon, but the Moon impacts Earth's tides more because it is closer in distance to the Earth.The Sun and Moon, but the Sun impacts Earth's tides more because it much more massive than the Earth.The Moon is the only celestial object that influences Earth's ocean tides because it so close in distance to the Earth. 5. Find the triangle similar to AABC at the right. Question 5 Pleaseee help i will mark brainliest! 40. Foehn winds can adversely affect wildland fires because they can produce:A. Strong winds, dry lightning, and hot temperatures.B. Strong winds, warmer temperatures and very low relative humidities.C. Strong winds, very low relative humidities and dry lightning.D. Strong winds, unstable air and dry lightning. what long-term impact did the great awakening have on the thirteen colonies? Which statement best describes how light travels? In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the followingof the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence) 11(5-8=-11 5-8=-1. S= Nadine received the same score on each turn in an online game. Her score on each turn was 24. She had 4 turns.What was Nadine's final score? Identify ways through which people are making use of the environment