The weight of a bag of Brand A cookies is labeled as 3 ounces on the bag. However, the actual weights of the bags vary by a small amount. According to the packaging specifications, the weights are approximately normally distributed with a mean of 3.05 ounces and a standard deviation of 0.06 ounce. Select the number to complete the sentence. According to the specifications, approximately percent of the bags weigh 3.00 ounces or more​

Answers

Answer 1

Using the normal distribution, it is found that approximately 79.67% of the bags weigh 3.00 ounces or more​.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 3.05, \sigma = 0.06[/tex]

The proportion of the bags that weigh 3.00 ounces or more​ is one subtracted by the p-value of Z when X = 3, hence:

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

[tex]Z = \frac{3 - 3.05}{0.06}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

1 - 0.2033 = 0.7967 = 79.67%.

79.67% of the bags weigh 3.00 ounces or more​.

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Related Questions

Which of the following is the solution to the
inequality below?
-4x-7<5
A. x>-1
B. x < -¹/
C. x>-3
D. x<-3

Answers

Answer:

the answer to this problem Is C. x>-3

Evergreen Corporation manufactures circuit boards and is in the process of preparing next year's budget. The pro forma income statement for the current year is presented below.

Sales $ 3,500,000
Cost of sales:
Direct Material $ 500,000
Direct labor 250,000
Variable Overhead 275,000
Fixed Overhead 600,000 1,625,000
Gross Profit $ 1,875,000
Selling and General & Admin. Exp.
Variable 750,000
Fixed 250,000 1,000,000
Operating Income $ 875,000The break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is:
$1,724,138.
$2,625,000.
$2,155,172.
$1,865,672.

Answers

The break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is: A. $1,724,138.

Break-even point

First step is to calculate the Variable costs

Variable costs = $500,000 + $250,000 + $275,000 + $750,000

Variable costs = $1,775,000

Second step is to calculate the Contribution margin ratio

Contribution margin ratio = (Sales - Variable costs) / Sales

Contribution margin ratio= ($3,500,000 - $1,775,000) / $3,500,000

Contribution margin ratio= 0.493×100

Contribution margin ratio =49.3%

Now let calculate the Break-even point

Break-even point = Fixed costs / Contribution margin ratio

Break-even point= ($600,000 + $250,000) / 0.493

Break-even point= $1,724,137.9

Break-even point =$1,724,138 (Approximately)

Therefore the break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is:$1,724,138.

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I need help. This is an ixl

Answers

Answer: 2

Step-by-step explanation:

     We will first pull the data values.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

     Now, we will find the middle data value. This is the median.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

/,  /,  /, /, /, 2,  /,  /,  /,  /,  /

     Our median is 2.

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Help Me please . I want to know cube root of 512 and 997002999 . please man fast​

Answers

Answer:

8,999

Step-by-step explanation:

Cube root of 512 is 8.

cube root of 997002999 is 999.

Please help I am so confused
Evaluate -6b+8t where b=-9 and t=-9

Answers

Answer:

-18

Step-by-step explanation:

If you plug the number values into the equation, it would be -6(-9)+8(-9) when then turns out to be 54+(-72) which is -18

This year a small business has a total revenue of $21,700. If this is 38% less of their total revenue the previous year what was their total revenue the previous year?

Answers

Answer:

29946

Step-by-step explanation


Multiply the value by 1.38.

Consider the function represented by the table.



For which x is f(x)=–3?

–7
–4
4
5

Answers

Step-by-step explanation:

-7 because i now this by myself aND blah blah blah blah blah blah blah blah blah blah blah blah blah blah step by step nice

nice nice

Answer:

A: -7

Step-by-step explanation:

Taking the test rn and just happened to see this :)

15 (y - 4 ) - 2 ( 9y - 11 ) = 4 (8z - 13)

Answers

Answer to the given equation is 32z + 3y = 14.

Step 1: Given data: The given equation is 15 (y - 4) - 2 (9y - 11 ) = 4 (8z - 13)Step 2: Solving the above equation,

15y - 60 - 18y + 22 = 32z - 52

- 3y - 38 = 32z - 52

- 3y + 52 - 38 = 32z

- 3y + 14 = 32z

32z + 3y = 14

Hence, we get 32z + 3y = 14

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find the smallest number by which 84 must be multiplied to make a perfect square?

Answers

Step-by-step explanation:

84=2×2×3×7

perfect square has all twice no.

so it is multiply by 7 x 3 =21

to get perfect square of 42

What is the distance between the points (-4,-8) and (6,16), to the nearest tenth of a units?
A. 8.2 units
B.676.0 units
C.21.8 units
D.26.0 units

Answers

Answer:

D.26.0 units

Step-by-step explanation:

Given : the points A(-4,-8) and B(6,16),

Let d be the distance between A and B.

Then

[tex]d=\sqrt{\left( 16-\left( -8\right) \right)^{2} +\left( 6-(-4)\right)^{2} }[/tex]

  [tex]=\sqrt{\left( 24\right)^{2} +\left( 10\right)^{2} }[/tex]

  [tex]=\sqrt{676 }[/tex]

  [tex]=26[/tex]

Enter a positive value for d that makes this statement true: 18 *d less than 18 but greater than 0

Answers

Answer:

d=0.5

Step-by-step explanation:

18 x 0.5=9

9 is less than 18 and greater than 0

Answer:

9

Step-by-step explanation:

Leslie set up a fruit stand to sell some of her crop of oranges. The first person who came by bought 1/3 of her oranges. The second person bought 4 oranges. The thrid person bought 1/4 of the REMAINING oranges. Leslie took the last 15 oranges home to make orange juice. How many oranges did Leslie have at the beginning?

Answers

Answer:

36

Step-by-step explanation:

Let's say Leslie starts with x oranges.

The first person buys 1/3 of the oranges, leaving behind 2/3 x.

The second person buys 4 oranges, leaving behind 2/3 x − 4.

The third person buys 1/4 of the remaining oranges, leaving behind:

3/4 (2/3 x − 4)

This amount equals 15. Solving for x:

15 = 3/4 (2/3 x − 4)

20 = 2/3 x − 4

24 = 2/3 x

36 = x

Which sentence illustrates the distributive property

Answers

Answer:

4th option

Step-by-step explanation:

the distributive property is

a(b + c) = ab + ac

that is each term in the parenthesis is multiplied by a

Answer:

a(b+c)=ab+ac

Step-by-step explanation:

The distributive property is when it distributes the outside variable with whatever is in the parenthesis.

For example, 2(1+3) is 2(1)+2(3)= 2+6=8.

A skydiver is falling at a rate of 1.1 × 10 2 miles per hour. About how long will it take him to fall 5 miles?

Answers

Answer:

See below

Step-by-step explanation:

distance / rate = time

5 miles / 110 m/hr = .04545 hr = 2.727 min = 2 min 44 sec = 1/22 hr

SOMEONE PLEASE HELP IVE BEEN WAITING FOREVER

Answers

Answer:

Only option A. cannot be simplified; is in its simplest form.

Step-by-step explanation:

In order for A. to have a simplified form, it must have a specified degree or leading term, which it does not have, making it impossible to simplify.

The rectangle shown is rotated about line k.

Rectangle A B C D is shown. A line of rotation goes through the midpoint of sides A B and D C to cut the side into two equal lengths of 5 inches. Side A D has a length of 4 inches.

What is the approximate base area of the resulting figure?

Area of a circle: A = πr2

31 sq. in.
50 sq. in.
79 sq. in.
314 sq. in.

Answers

The approximate base area of the resulting figure is 79 in²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The resulting figure formed from the rotation is a cylinder with a radius of 5 inches and height of 4 inches

Area of base = π * radius² = π * 5² = 79 in²

The approximate base area of the resulting figure is 79 in²

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Two spheres have volumes of 87pi cm³ and 64pi cm³. If the surface area of the smaller sphere is 16pi cm², what is the
surface area of the larger sphere?
O 64pi cm²
O 96pi cm²
O 128pi cm²
O 256pi cm²

Answers

The surface area of the large sphere is 128π cm²

Complete question

Two spheres have volumes of 8π cm3 and 64π cm3. If the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere?

How to determine the larger area?

The given parameters can be represented using the following ratio:

Small Area : Large Area = Small Volume : Large Volume

Substitute the given parameters

16π : Large Area = 8π : 64π

Express as fraction

Large/16π = 64π/8π

Multiply both sides by 16π

Large = 128π

Hence, the surface area of the large sphere is 128π cm²

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what is the answer to thiss

Answers

Hi Student!

This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression.  So let's plug in the values and solve.

Plug in the values

[tex]m^2 + 5[/tex][tex](9)^2 + 5[/tex]

Factor out the exponent

[tex](9*9) + 5[/tex][tex]81 + 5[/tex]

Combine

[tex]86[/tex]

Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.

Markson and Sons leases a copy machine with terms that include a fixed fee each month plus a charge for each copy made. Markson made 8,000 copies and paid a total of $980 in January. In April, they paid $760 for 6,000 copies. What is the variable cost per copy if Markson uses the high-low method to analyze costs? If required, round your answer to two decimal places.

Answers

The variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.

How to calculate the cost?

It should be noted that the variable cost per unit will be calculated as:

= Difference in cost between high and low level activities / Difference in units

= (980 - 760)/(8000 - 6000)

= 220/2000

= 0.11

Therefore, the variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.

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Amanda's math certificate is 7 inches tall and
11 inches wide. Amanda wants to put the
certificate in a fancy frame that costs $3.00
per inch. How much will it cost to frame
Amanda's math certificate?

Answers

Answer:

ten inches

Step-by-step explanation:

because the frame will focus on it wider the tall will not fall in so you will divide the wide inches and you will mutiple it by the tall inches

Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.

Note: Enter only the simplified result.

Answers

Answer: 1

Step-by-step explanation:

First, we will translate this into an algebraic expression.

-> Quotient means we will be using divison

-> Product means we will be using multiplciation

     the quotient of 12 and the product of 3 and 4

     [tex]\displaystyle \frac{12}{\text{the product of 3 and 4}}[/tex]

     [tex]\displaystyle \frac{12}{3*4}[/tex]

Now, I will simplify.

     Given:

      [tex]\displaystyle \frac{12}{3*4}[/tex]

     Multiply:

     [tex]\displaystyle \frac{12}{12}[/tex]

     Divide:

     1

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(07.03 MC)

What is the solution to the following equation? (1 point)

4(3x − 11) + 23 = 5x − 14
0
1
10
14

Answers

Answer:

1

Step-by-step explanation:

[tex]~~~~~~4(3x-11) +23 = 5x -14\\\\\implies 12x -44 + 23 -5x +14 = 0\\\\\implies 7x-7=0\\\\\implies 7x = 7\\\\\implies x = \dfrac 77 \\\\\implies x = 1[/tex]

Answer:x=1

Step-by-step explanation: did the test

I can’t figure this out…going on 4 hours now

Answers

Answer:2: 95/215, 3: 95/580, 4: 210/330 5: 365/580

Step-by-step explanation:probability=outcome in question/the total number in the given category

A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27).
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?

Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.

Answers

From the equation y = 4x, each strawberry contains 4 calories.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of calories in x strawberries. Hence:

y - 0 = [(27 - 0)/(6.8 - 0)](x - 0)

y = 4x

From the equation y = 4x, each strawberry contains 4 calories.

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Answer:

a

Step-by-step explanation:

k dived by 11 is 7
solve for k

Answers

Answer:

k = 77

Step-by-step explanation:

[tex]\frac{k}{11} =7\\\\\rightarrow 11 * 7 = 77\\\rightarrow 77 \div 11 = 7[/tex]

Answer:

k = 77

Step-by-step explanation:

The question in equation form is :

[tex]\frac{k}{11} =7[/tex]

Now we multiply both sides by 11 to solve for k :

k = 7×11

k = 77

Hope this helped and brainliest please

Are 100 10 and 5 1 equivalent rates ? Pls answer quick

Answers

Answer:

No

Step-by-step explanation:

I don't think so

PLEASE HELLPPPP Ms. Rudolph randomly selects one student from a group of students.
are wearing a black shirt, 6 students are wearing a red shirt, and 9 students are
wearing a blue shirt.
Show your work to determine the PROBABILITY that the selected student is
wearing a BLACK shirt?
You may write your answer as a FRACTION or DECIMAL.

Answers

Using it's concept, it is found that the probability that the selected student is wearing a black shirt is given by:

[tex]p = \frac{n}{n + 15}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of n + 6 + 9 = n + 15 students, n are wearing black shirts, hence the probability is given by:

[tex]p = \frac{n}{n + 15}[/tex]

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20 points pls help quick

Let f(x) = 3x² + mx + 5 and g(x) = nx² - 4x - 2. The functions are combined to
form the new function h(x)=f(x)xg(x). Points (1,-40) and (-1,24) satisfy the new
function. Determine f(x) and g(x).

Answers

Answer:

[tex]\displaystyle f(x) = 3x^2 + 2x + 5\text{ and } g(x) =2x^2 - 4x -2\text{ or } \\ \\ f(x) = 3x^2 + 5 \text{ and } g(x) = x^2 - 4x -2[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = 3x^2 + mx +5 \text{ and } g(x) = nx^2 - 4x -2[/tex]

And that:

[tex]\displaystyle h(x) = f(x)\cdot g(x)[/tex]

With the given conditions that (1, -40) and (-1, 24) satisfy the new function, we want to determine functions f and g.

First, find h:

[tex]\displaystyle \begin{aligned} h(x) & = f(x)\cdot g(x) \\ \\ & = (3x^2 + mx +5)(nx^2 - 4x -2) \end{aligned}[/tex]

Because (1, -40) and (-1, 24) are points on the graph of h, we have that h(-1) = 40 and h(-1) = 24. In other words:


[tex]\displaystyle \begin{aligned} h(1) = -40 & = (3(1)^2 + m(1) +5)(n(1)^2 - 4(1) -2) \\ \\ & = (3 + m +5)(n-4 -2) \\ \\ & = (m+8)(n-6) \\ \\ -40 &= mn-6m+8n-48 \end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned} h(-1) = 24 & = (3(-1)^2 + m(-1) +5)(n(-1)^2 -4(-1) -2) \\ \\ & = (3 - m +5)(n + 4 -2) \\ \\ & = (-m+8)(n+2) \\ \\ 24 & = -mn -2m + 8n +16 \end{aligned}[/tex]

Solve the system of equations. Adding the two equations together yield:

[tex]\displaystyle -16 = -8m+16n - 32[/tex]

Solve for either m or n:

[tex]\displaystyle \begin{aligned} -16 & = -8m + 16n - 32 \\ \\ 16 & = -8m + 16n \\ \\ 8m & = 16n - 16 \\ \\ m & = 2n -2\end{aligned}[/tex]

Substitute this into one of the two equations above and solve:


[tex]\displaystyle \begin{aligned} -40 & = mn - 6m + 8n - 48 \\ \\ 0 & = (2n-2)n -6 (2n-2) + 8n -8 \\ \\ &= (2n^2 - 2n) + (-12n + 12) +8 n - 8 \\ \\ & = 2n^2 -6n + 4 \\ \\ & = n^2 - 3n + 2 \\ \\ &= (n-2)(n-1) \\ \\ & \end{aligned}[/tex]

Therefore:


[tex]\displaystyle n = 2 \text{ or } n = 1[/tex]

Solve for m:

[tex]\displaystyle \begin{aligned}m &= 2n-2 & \text{ or } m & = 2n-2 \\ \\ & = 2(2) - 1 &\text{ or } & =2(1) -2 \\ \\ &= 2 &\text{ or } & = 0 \end{aligned}[/tex]

Hence, the values of n and m are either: 2 and 2, respectively; or 1 and 0, respectively.

In conclusion, functions f and g are:


[tex]\displaystyle f(x) = 3x^2 + 2x + 5\text{ and } g(x) =2x^2 - 4x -2\text{ or } \\ \\ f(x) = 3x^2 + 5 \text{ and } g(x) = x^2 - 4x -2[/tex]

In a study of patients arriving at a hospital emergency room, the gender of the patients is considered, together with whether the patients are younger or older than 30 years of age, and whether or not the patients are admitted to the hospital. It is found that 45% of the patients are male, 30% of the patients are younger than 30 years of age, 15% of the patients are females older than 30 years of age who are admitted to the hospital, and 21% of the patients are females younger than 30 years of age. What proportion of the patients are females older than 30 years of age who are not admitted to the hospital?

Answers

The probability of patients are females older than 30 years of age who are not admitted to the hospital is 0.19

How to calculate the probability?

The probability of patients who are females and are admitted will be 0.15. The probability of those younger than 30 years will be 0.21.

The proportion of the patients are females older than 30 years of age who are not admitted to the hospital will be:

= [(1 - 0.45) - 0.21] - 0.15

= 0.19

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Translate (10,8) down 5

Answers

Answer:

A (10,3)

Step-by-step explanation:

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