A certain manufacturing procedure produces items that have a mean weight of 55 pounds and a standard deviation of 3.2 pounds. With what minimum probability can we assert that the weight of a randomly selected item produced by this procedure is between 45.4 pounds and 64.6 pounds

Answers

Answer 1

Answer:

99,7 %

Step-by-step explanation:

P [  45,4  <  X  <  64,6 ]   ???

P [  45,4  <  X  <  64,6 ]  

for  X = 45,4

z₁  =  ( X - μ₀  ) / σ

z₁  =  45,4  -  55 / 3,2

z₁  =  - 9,6 / 3,2

z₁  =  - 3

And fom z-table we find     P [ X = 45,4 ]  =  0,0013   or  0,13 %

z₂  = ( 64,6  -  55 )/ 3,2

z₂  =  3

And from  z-table we find     P [ X = 64,6 ]  =  0,9987  or  99,87 %

Then

P [  45,4  <  X  <  64,6 ]  =  99,87  - 0,13  =  0,9974    or  99,74 %

Now if we look at the values:

μ₀   -  3*σ       and     μ₀   +  3*σ  

we find    55  -  3*3,2   =  55 - 9,6  = 45,4  and   55 + 9,6  = 64,6

We know according to the empirical rule that  values from μ₀   ±  3*σ  will contains 99,7 % of all values


Related Questions


The answer to (-15) + 33​

Answers

Answer:

18

Step-by-step explanation:

33-15=18

Answer:

18

Step-by-step explanation:

There are 8 boys in a class, and these boys make up 40% of the total students. How many students in the class are girls? *​

Answers

Answer:

12 girls

Step-by-step explanation:

do you want an explanation?

plz brainliest :)

I am confused with this

Answers

Answer:

Answer is A) HL

Step-by-step explanation:

A school is arranging a field trip to the zoo. The school spends 688.95 dollars on passes for 42 students and 3 teachers. The school also spends 391.02 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student? how many dollars was spent per students

Answers

Answer:

The total spent on each student was $24.62. That is the pass and lunch

Step-by-step explanation:

$688.95÷45= $15.31 each oass

$391.02÷42=$9.31

15.31+931=$24.62

8x+6x=112+1x+7x=89
solve this

Answers

First thing I would do is combine like terms to get 14x=112+8x=89
Then subtract 8x from 14x to get 6x=112=89
Then (I don't think this is right) subtract 112 from 89 to get -23 so it looks like this 6x=-23 then devide 6from both sides to get x=-23/6 or x=-3.83 3will be repeating

Factor the polynomial. 5n^2 +10n​

Answers

Hi there!

[tex]\large\boxed{5n(n + 2)}[/tex]

Factor the polynomial by finding the GCF from each term:

5n² + 10n

Both terms share "5n", so we can factor this out of the expression:

5n(n) + 5n(2)

5n(n + 2)

246000 in scientific notation

Answers

Answer:

2.46 x 10⁵

Step-by-step explanation:

Answer:

i wouldn't know that

Step-by-step explanation:

I need help to get good grade

Answers

Answer:

scale factor: 3

Step-by-step explanation:

For this I will take both A and A' points. So A is (2,2) and A' is (6,6) and since the shape increased in size that means our scale factor must be greater than 1. So all that we have to do is know is how did we get from this x value to that x value or in other words 2 times what equals 6 and it's 3. Then we would do the same for the y value but since it would be the same 2 times what equals 6 and it's still 3 so 3 is the scale factor.


Which number line shows the solution of -6x + 18 < 30?


Answers

Answer:

number line a

Step-by-step explanation:

-6x +18 < 30

-6x < 12

x> -2

Answer:

its c

Step-by-step explanation: you subtract 18 from the left and add it to the right so you add 18 to 30 which gets you 48 then you divide 48 by -6 and reverse < to > since your dividing this by a negative

hopefully you understand give me a rate please!

A statistical question produces data that varies.
Which question below will produce data that varies?

How many days are in a leap year?

How many quarts are in a gallon?

How many senses are there?

How many students are in each class?

Answers

Answer:

How many students will be varied.

all other questions have definite answers.

What is the greatest common factor of 15 and 21?​

Answers

Greatest common factor (GCF) of 15 and 21 is 3. We will now calculate the prime factors of 15 and 21, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15 and 21.

The Greatest Common Factor of 15 and 21 is 3.

What is Greatest Common Factor?

The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)

Given:

We have to find the greatest common factor of 15 and 21 .

So factorizing each number

15 = 3 x 5

21 = 3 x 7

So, the Greatest Common Factor is 3.

Learn more about Greatest Common Factor here:

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A school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping. How much did they make selling balloons?

Answers

Answer:

OMG, Nickkkkk. It's Nyla from your 3rd block math classs. Lol, I literally looked up this question with no luck of an answer.

Step-by-step explanation:

The school club made $298.08 by selling the balloons.

What is Profit?

Profit is calculated as total revenue less total expenses.

Given that, a school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping.

Cost of balloons when they brought them = 1.29*150 = $193.5

Total cost = $193.5 + (shipping price) = $193.5 + $8.92

Total cost = $202.42

Cost at which they sold the balloons = 143*$3.50 = $500.5

Therefore, their total profit = $500.5 - $202.42 = $298.08

Hence, The school club made $298.08 by selling the balloons

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Garth's taxable income last year was $97,450. According to the tax table
below, how much tax does he have to pay if he files with the Single status?

Answers

Answer:

$21,013

Step-by-step explanation:

can you help me this tteacher answer the box and also the questions

Answers

Answer:

Step-by-step explanation:

2) x - y = 2/3

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

3) 3x +2y = 6

          3x = 6 - 2y

Divide the equation by 3

[tex]\frac{3x}{3}=\frac{6}{3}-\frac{2y}{3}\\\\x = 2 - \frac{2}{3}y[/tex]

4)

[tex]\frac{1}{4}x + y = 2\\\\ y = 2 - \frac{1}{4}x[/tex]

5) 4x - 3y = -33

         -3y = -33 - 4x

Divide the equation by (-3)

[tex]\frac{-3}{-3}y=\frac{-33}{-3} - \frac{4}{-3}x\\\\ y = 11 + \frac{4}{3}x[/tex]

1) Yes, it was easy to solve one variable in terms of the other.

2) Yes, it was easy to solve for y in terms of x. Coefficient of x was a fraction.

3) It will be easy if we take the value of x as multiples of 3

Example: if x = 3,

[tex]y = 11 + \frac{4}{3}*3 \\\\y = 11 + 4\\\\y = 15[/tex]

It is easy to plot (3 ,15)

What is cos(47)=x/3 solve for x

Answers

x=141 ..............



The equivalent value of {x} is equivalent to 2.046.

What is cosine function?

The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.

Given is the expression as -

cos(47) = x/3

We have the expression as -

cos(47) = x/3

{x} = 3 cos(47)

{x} = 3 x 0.682

{x} = 2.046

Therefore, the equivalent value of {x} is equivalent to 2.046.

To solve more questions on algebraic expression, visit the link below -

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Which graph represents a function?

Answers

Answer:

Graph B represents a function.

Step-by-step explanation:

Graph B is a quadratic function. y = x^2

m + 4 = 17

Please help

Answers

Answer: m=13

Step-by-step explanation:

Basically you solve this by finding out what plus 4 equals 17. You can do this by subtracting 4 from 17.

17-4=13

This is how you find the value of m.

Answer:

13!

Step-by-step explanation:

first subtract 4 on both sides!

m+4=17

m+4-4=17-4

simplify/subtract 17-4=13!

(also stop reporting my comment and my answers!)

Please hurry! What is the value of the expression when y=3?
12+ 4y2-7
A) 29
(B) 41
137
D
149

Answers

B. 41

Step-by-step explanation:

[tex] = 12 + {4y}^{2} - 7[/tex]

[tex] = 12 + {4(3)}^{2} - 7[/tex]

[tex] = 12 + 4(9) - 7[/tex]

[tex] = 12 + 36 - 7[/tex]

[tex] = 48 - 7[/tex]

[tex] = 41[/tex]

The length of a rectangle is 2x + 3. The width of the rectangle is x - 2. Which of the following represents the perimeter of the rectangle?

Answers

Answer:

6x+2

Step-by-step explanation:

The perimeter is the sum of all of the sides. A rectangle has four sides. You multiply each equation by two, and add the two equations together.

To get the perimeter, you have to add all sides. So you’ll have 2x+3+2x+3+x-2+x-2. So assuming I have done the math correctly, the answer should be 6x+2.

Does anyone know the value of x and y?!?!

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

I'm not 100% sure but I substituted different numbers into the equation:

If x=4 and y=2 then 4+2=6 and 3x2=6 so it would be 6=6

Another option is x=7 and y=3 then 7+2=9 and 3x3=9 so it would be 9=9

I'm more confident with x=4 and y=2 because of the small size of the triangle.

I hope this helps! Good luck! :)

X is 4 y is 2 ʕ•ᴥ•ʔʕ•ᴥ•ʔʕ•ᴥ•ʔʕ•ᴥ•ʔʕ•ᴥ•ʔ

Line a is parallel to line b. If the measure of 2 is 78 degrees, what is the measure of 8? ​

Answers

Answer:

78 degrees

Step-by-step explanation:

From the diagram;

<2 = 78 degrees

<2 = <6 = 78degrees (corresponding angles)

<6 = <8 = 78 degrees (vertically opposite angles)

Hence the measure of 8 is 78 degrees

Answer:

78 degrees

Step-by-step explanation:

A triangle has side lengths of ( 5.9 k + 9.3 m ) (5.9k+9.3m) centimeters, ( 3.6 k − 3.9 n ) (3.6k−3.9n) centimeters, and ( 3.5 n + 3.4 m ) (3.5n+3.4m) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

(9.5k + 12.7m -0.4n) cm

Step-by-step explanation:

(5.9k+9.3m) + (3.6k−3.9n) + (3.5n+3.4m) = 9.5k + 12.7m -0.4n

coffee maker has the shape of a cone 10cm high with a radius of 6 cm at the top. The coffee maker is filled with water, and the water is allowed to drain out the bottom of the cone. Water is flowing out of the filter at a rate of 5 cubic centimerters per second. At what rate is the water level in the cone falling when it is 5cm from the bottom of the cone.

Answers

Answer: the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec

Step-by-step explanation:

Given the data in the question;

H/h = R/r

10/5 = 6/r

r 1 = 30/10 = 3

Also

10/h = 6/r

r2 = 6h/10 = 3/5 × h

Volume = 1/3πr²h

V = 1/3 × π × (3/5 × h)² × h

V =  1/3 × π × 9/25 × h³

V = 3π/25 × h³

Now

dv/dt = 3π/25 × 3 × h² × dh/dt

-5 = 3π/25 × 3 × 25 × dh/dt

-5 = 3π × 3 × dh/dt

-5 = 9π × dh/dt

dh/dt = -5/9π

dh/dt = -0.1768 cm/sec

therefore, the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec

Sameen bought 2 1/5 pounds of carrots for $6.60 at the rate how much would 1pound of carrots cost

Answers

Answer:

$3.00

Step-by-step explanation:

Sheldon and Leonard are partners in a business. Sheldon makes $2 in profits for every $5 that Leonard makes. If Leonard makes $20 profit on the first item they sell, how much profit does Sheldon make?

Answers

Answer: 8. 20 is 4 times more than 5, so all we have to do is multiply 2 x 4 = 8. Would appreciate brainliest!

Sheldon makes a profit of $8.

What profit share ratio?

The ratio of profit share in a partnership is always constant irrespective of the amount of profit.

Given,

Sheldon makes $2 in profits for every $5 that Leonard makes.

Therefore, ratio of profits of Sheldon and Leonard is 2/5.

If Leonard makes profit of $20

Then,  Sheldon's profit / Leonard's profit = 2/5

           Sheldon's profit / 20 = 2/5

           Sheldon's profit  = $8

Hence, Sheldon makes a profit of $8 If Leonard makes $20 profit.

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Which point is located at (8, 6)?


PLEASE PLEASE PLEASE ANSWER! I MARK BRAINLIEST!

Answers

Answer:

Go to the right 8 times from the

0,0 point and after you go right 8 times go up 6 times then there you go.

Step-by-step explanation:

Read answer

An airplane leaves the ground in Seattle at 11:23PM on Tuesday and lands in San Francisco 1AM. Compute the average speed of the plane while it is in the air. Express your answer in meters per second to appropriate precision (pay attention to significant figures), SHOW YOUR WORK.

Answers

Answer:

223.34 m/s

Step-by-step explanation:

Given :

Travel time = 11 :23 pm to 1:00 a. M = 1 hour 37 minutes = (60 + 37) = 97 minutes = (97 * 60) = 5820 seconds

Distance between Seattle and San Francisco is

807.7 miles (culled from the internet)

807.7 miles = 1299867.1 meters

Average speed = Distance covered / Time taken

Average speed = 1299867.1 m / 5820 s

Average speed = 223.34486

Average speed = 223.34 m/s

9 times what number equals 800?

Answers

Answer:

9 times 800/9 equals 800. (Answer is 800/9)

Step-by-step explanation:

Key skills needed: Equation, Division, Fractions

1) Let's say the number is the variable "x".

2) So this means 9 times x = 800

9x = 800

3) Divide both sides by 9 and you will get x equal to 800/9. If you want this in mixed number form, it is --> 88 8/9

Hope you understood and have a nice day!! :D

88.8888888889

The equation to any of these sorts of questions is the larger number (800) divided by the smaller number (9).

You can check your answer by multiplying the quotient by the smaller number (9). If you get the larger number (800), you were correct, anything else, the equation was done wrong.

Hope this helps, if not, comment below please!!!

What is the average of all multiples of five from 5 to 50 inclusive

Answers

Answer:

add all the multiples together then divide by 10?

275/10 = 27.5

f(x) =1+√x-2 and g(x) = 10/x-1 find gf​

Answers

Answer:

[tex]gf(x))= \frac{10}{\sqrt{x-2} }[/tex]

Step-by-step explanation:

Explanation

Given function f(x) = [tex]1 + \sqrt{x-2}[/tex]    and  g(x) = [tex]\frac{10}{x-1}[/tex]

gf(x) = ([tex]g(1 + \sqrt{x-2})[/tex]  )

       [tex]= \frac{10}{1+\sqrt{x-2}-1 }[/tex]

       [tex]= \frac{10}{\sqrt{x-2} }[/tex]

[tex]gf(x))= \frac{10}{\sqrt{x-2} }[/tex]

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