The weights of rabbits on an island, measured in pounds, are normally distributed with mean 4.5 and standard deviation 3.1. In each case, identify the calculator command that would answer the given question. The chances that a randomly selected rabbit weighs at least 6 pounds. normalcdf(6,999,4.5,3.1) The chances that 15 randomly selected rabbits have an average weight of at least 6 pounds. [Choose] The chances that 15 randomly selected rabbits have a total weight less than 50 pounds. normalcdf(6,999,4.5,3.1)

Answers

Answer 1

To find the chances that 15 randomly selected rabbits have an average weight of at least 6 pounds, we can use the calculator command normalcdf(-999,50,67.5,10.1) to find the probability that the total weight of 15 rabbits is less than 50 pounds, we need to use the central limit theorem.

According to the theorem, the sample means of large enough samples from a population with any distribution will follow a normal distribution with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size. Therefore, the mean of the sampling distribution of the sample means for 15 rabbits would also be 4.5, but the standard deviation would be 3.1/sqrt(15) = 0.8. We can use the calculator command normalcdf(6,999,4.5,0.8) to find the probability that the average weight of 15 rabbits is at least 6 pounds. To find the chances that 15 randomly selected rabbits have a total weight less than 50 pounds, we need to use the central limit theorem again. The total weight of 15 rabbits would be the sum of their individual weights. The sum of independent random variables with the same distribution also follows a normal distribution, with mean equal to the sum of the individual means and standard deviation equal to the square root of the sum of the variances. Therefore, the mean of the sampling distribution of the sum of 15 rabbit weights would be 15*4.5 = 67.5, and the standard deviation would be sqrt(15*3.1^2) = 10.1.  

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Related Questions

how do you find the x-intercepts if given the following polynomial in factored form?

X(x-2)^2(x+4)(x+1)​

Answers

Answer:

Step-by-step explanation:

You know the intercepts occur at x = 0, so set each part of the factored form equal to zero and solve for x.

The first part, plain X = 0, so X = 0 is a root, an x-intercept

The second part (X-2)^2 = 0, so X = 2 is another root. Since the function is being squared, this root will happen twice. The function crosses this root twice.

The third part (x+4) = 0, so x = -4 is another root.

Finally, (x+1) so x = -1 is another root.

So you have X = 0, X = 2, X = -4, X = -1 as your x-intercepts

How many vehicles are at Nam's Gas Station?

Answers

Answer:

23

Step-by-step explanation:

The number of car are in the y-intercept line so just add each one of the for every different bar.

3 + 4 + 5 + 6 + 3 + 2 = 23

So there are 23 vehicles in total.

The number of vehicles are at Nam's Gas Station is 23

Calculation of the number of vehicles:

Since The number of cars are in the y-intercept line

So here the no of vehicles should be

= 3 + 4 + 5 + 6 + 3 + 2

= 23

Here we added according to the given graph

Therefore, we can conclude that The number of vehicles are at Nam's Gas Station is 23

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hii please help i’ll give brainliest if you give a correct answer!

Answers

Answer:

8

Step-by-step explanation:

655 + (6.3 x 170) + (4.7 x 58) - (4.7 x 18)

Answers

Answer:

1914

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

655 + (6.3 × 170) + (4.7 × 58) - (4.7 × 18)

Step 2: Evaluate

(Parenthesis) Multiply:                                                                                    655 + 1071 + (4.7 × 58) - (4.7 × 18)(Parenthesis) Multiply:                                                                                     655 + 1071 + 272.6 - (4.7 × 18)(Parenthesis) Multiply:                                                                                    655 + 1071 + 272.6 - 84.6Add:                                                                                                                 1726 + 272.6 - 84.6Add:                                                                                                                 1998.6 - 84.6Subtract:                                                                                                          1914

PLEASE HELP AND EXPLAIN YOUR ANSWER!

Answers

Answer:

24w - 16u + 48

Step-by-step explanation:

by distributive property you have to distribute the number on the outside to the number inside the parenthesis

Answer:

24w - 16u + 48

Step-by-step explanation:

Ok so,

to distribute means to multiply -8 with all of the numbers inside of the parentheses in order to get rid of it. So it should look like this.

-8 x -3w = 24w

-8 x +2u = -16u

-8 x -6 = 48

Now you just take all of the numbers and put them together which will be

24w - 16u + 48

TAADAA!!

hope this helps!!! have a good day!

(5x-8)
+
(2x+19)
Find the value of x.
OA.5
B.7
C.9
D.11

Answers

Answer:

x=9 option C

Step-by-step explanation:

explanation above

Please mark me as brainlist


[tex] \frac{4}{5 } + \frac{3}{20} = [/tex]

Answers

The answer is 19/20
Hope this helps

Answer:

Step-by-step explanation:

[tex]\frac{4}{5}+\frac{3}{20}\\ \\ \frac{4}{5}\left(\frac{4}{4}\right)+\frac{3}{20}\\ \\ \frac{16+3}{20}\\ \\ \frac{19}{20}[/tex]

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 4 if she rolls the two number cubes 216 ​times?

Answers

Answer:

18 times

Step-by-step explanation:

Sample space ; roll of 2 number cubes = 6^2 = 36

Sum of 4 in 2 cube rolls = 3

Probability = required outcome / Total possible outcomes

P(sum of 4) = 3 / 36 = 1 / 12

If number cube is rolled 216 times :

Probability on 1 roll * Number of rolls

(1 / 12) * 216

0.0833333 * 216

= 18

In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help

Answers

Answer:x= 38.079

Step-by-step explanation:

38.079
i got it right

Guys please help

which phrase has the same meaning as 12y - 2?

Answers

Answer:

subtract 2 from the product of 12 and y

Step-by-step explanation:

help i have this question and i’m not sure what the answer would be

Answers

Answer:

2 10 or 100 2

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

how do I solve this ​

Answers

Answer:

113

Step-by-step explanation:

DQ= 180-112= 68

and sum of ang in quad add to 360 so

lets call what we have to find x

so x+ 68+56+123= 360

x+247=360

x= 113

what is 1/6x + 3/4(1/2x - 4)?​

Answers

Answer:

13x/24-3

Step-by-step explanation:

Answer:

hello! :) have a good day!

[tex]\frac{13x}{24\\} -3[/tex]

2(3x-9)=2x+10 what's x

Answers

Answer:

x = 7

Step-by-step explanation:

2(3x-9)=2x+10

6x - 18 = 2x + 10

4x = 28

x = 7

Answer:

x = 7

Step-by-step explanation:

In order to find the value of x, isolate it in the equation.

1) First, distribute the 2 to the terms inside the set of parentheses.

[tex]2 (3x - 9) = 2x + 10 \\6x - 18 = 2x + 10 \\[/tex]

2) Next, move all the x terms to one side and all the other terms to the other side. Subtract both sides by 2x and add both sides by 18.

[tex]6x - 18 = 2x + 10 \\4x = 28[/tex]

2) Divide both sides by 4 to finally isolate x.

[tex]4x = 28 \\x = 7[/tex]

Thus, x = 7.

please helppppp please asap

Answers

Answer:

126.8

Step-by-step explanation:

angles opposite each other when two lines cross are always equal

Evaluate x=-3, y=4, z=-5
Answers suggested below
-17
41
23
-40
-58
-16

Answers

Answer:

2. -16

6. 23

7. -40

8. -17

9. 41

10. -58

I NEED HELP ASAP, AND PLZ DONT SPAM

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the indices,

After applying the log rules we get the equation as,

===> 3-x = 1/2

===> x = 5/2

If the radius is 10 ft, what will the area of the circle be?

Answers

Answer:

A=πr2=π·102≈314.15927ft²

Step-by-step explanation:

Answer:

314.16

Step-by-step explanation:

The formula is [tex]\pi rx^{2}[/tex]

What equation below is a perpendicular line to the line y=-4x+8

Answers

Y = x/4 + b

b can be any y-intercept

What is the difference?
5X
X-2
x + 4
2x
9x2 + 2x + 8
2 x(x - 2)
7x²+8
2 x(x - 2)
9x2–2x+8
2 x(x-2)
7x²-8
2X(x-2)

Answers

Answer:

Are these the option or what what this suppose to be ??????

4 minutes 53 seconds to seconds

Answers

Answer: 293 Seconds

Step-by-step explanation:

Answer:

293 seconds

Step-by-step explanation:

one minute = 60 seconds

4 x 60 = 240 seconds   -------> use the equation above to multiply per min

240 + 53 = 293 seconds  -------> add the remaining seconds to find total

simplify -8-(12)+(-2)​

Answers

Answer:

-22

Step-by-step explanation:

-8-(12)+(-2)

-8-12-2

-20-2

-22

HOPE THIS HELPS!

How many turning points are there in the graph of y = x^3 - 2x^2 - 2 ?

A. 1

B. 2

C. 3

D. 4

Answers

Answer:

D, i think

Step-by-step explanation:

Hi! I am Khushi
can you all please tell me the answer of this question.
The question is:
Convert 4:1 into percentage
the options are:
(a) 80%:20%
(b) 75%:25%
(c) 60%:40%
(d) 20%:80%

Answers

Answer:

80%:20%

Step-by-step explanation:

100 divided by 5 = 20

20 x 1 = 20

20 x 4 = 80

Meaning 80%(4):20%(1)

8 + 3n ≥ 38 do yall know??? solve please

Answers

Answer:

n ≥ 10

Step-by-step explanation:

Given

8 + 3n ≥ 38 ( subtract 8 from both sides )

3n ≥ 30 ( divide both sides by 3 )

n ≥ 10

Which of the following best describes the solution to the system of equations below?
6x + 5y=8
6x + 5y=15

A. The system of equations has infinitely many solutions.
B. The system of equations has exactly one solution where x=0 and y =8/5
C. The system of equations has no solution.
D. The system of equations has exactly one solution where x = 8 and y= 15.

Answers

Answer:

the correct answer is C the system of equations has no solution.

Make x the subject

y = 5x + 3

Answers

Answer:

x=y-3/5

Step-by-step explanation:

y=5x+3

y-3=5x

y-3/5=x

x=y-3/5

What is the answer to this question? x−7≤−5

Answers

Answer:

x<=2

Step-by-step explanation:

x-7<=-5

x<=-5+7

x<=2


Find y. Simplify completely.

y = [?]
Enter the number that belongs in the green box.
Please helpppp

Answers

Answer:

181?

Step-by-step explanation:

I saw a thing that it was A-squared plus B-squared=C.

9 squared=81. 10 squared=100. 100+81=181.

(If you have checks, I would definetely try it. But if you don't, and it's like a quiz or test, I wouldn't try it cuz I'm not 100% sure.

Answer:Y=190

Step-by-step explanation:I finished my exam and this answer was y=190 :) I hope I helped

A container of bread contains: 8 red beads, 6 yellow beads, and 6 green beads. A bread will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green or red is drawn?

Answers

The answer is 42 because you have to add up all of the colors together then add how many red and green you have then we multiple 60 times 14/20 and we get 840/20 so then we divide 840 by 20 and we get 42 so our answer is 42 if you haven’t got it already i don’t see any dates for these
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