An engineer at Shoefactory, Inc. wants to calculate the cycle time (time to make one unit) for a process based on work sampling observations of workers performing the job. The standard deviation for the process times is 0.4 minutes, based on a small sample of observations which she took. If the engineer wants to be 95% confident of being in error by only 0.125 minutes, what sample size should she take?

For continuous data:

E=(zα2)(σn)

For attribute data:

E=(zα2)p(1-p)n

Answer:

50 kg

Step-by-step explanation:

Given that:

SMALL HELICOPTERS:

Weight of small helicopters = 3kg

Weight of shipping container = 20kg

LARGE HELICOPTERS:

Weight of large helicopters = 4kg

Weight of shipping container = 10kg

Number of helicopters each shipping container can hold = s ; all of the packed containers will have the same shipping weight

Shipping weight :

(Weight per helicopter * number of helicopter) + weight of shipping container

Shipping weight of Small helicopters :

(3kg * s) + 20

Shipping weight Large helicopters :

(4kg * S) + 10

Shipping weight of Small helicopters = shipping weight of large helicopters

3s + 20 = 4s + 10

20 - 10 = 4s - 3s

10 = s

Hence, member of shipped helicopters = 10

Total shipping weight :

(4 * S) + 10

(4*10) + 10

40 + 10 = 50kg

Answer:

300

Step-by-step explanation:

multiply 25 by 12

Answer:

0.6, 2/3, 67%, 1.6

Step-by-step explanation:

Let's put everything in decimal form:

2/3= 0.666666666666666666 and repeating

67% is 0.67 exactly

So 0.6 is the smallest. Then is 2/3. After that is 67%. The biggest is 1.6.

Note: Don't get confused by 2/3 and 67%. 2/3 is sometimes rounded to 0.67. But in this case, it is EXACTLY 0.6666 repeating, so 67% is larger.

A can is a cylinder shape.

Volume of a cylinder = PI x r^2 X h

r is the radius and h is the height.

The diameter is given as 3.8, the radius is half that: 3.8 /2 =  1.9

Height is given as 6.5

Volume = 3.14 x 1.9^2 x 6.

Volume = 73.6801 cubic inches.

Rounded to the nearest tenth = 73.7 cubic inches.

Answer:

5 hours

Step-by-step explanation:

(53-13)÷8

53-13=40

40÷8=5

She worked 5 hours I hope this helped. :)

Answer: N=20

Step-by-step explanation:

30^20=3n since the bases are the same, set the exponents equal

20=n

swap

n=20

answer is n=20

Answer:

n=7,776

Step-by-step explanation:

3 to the power of 2 equals 6.

6 to the power of 10 equals 60,466,176

Square root of 3 to the power of n is n

square root of 60,466,176 is 7,776

The value of b is 2.

To find the value of b, we need to equate the equations of the semi-circle and the parabola.

The equation of the semi-circle is given as fx = √(9 - x²).

The equation of the parabola is given as gx = b - (1/4)x².

Since both graphs represent the same function, we can equate them and solve for the value of x:

√(9 - x²) = b - (1/4)x²

To simplify the equation, let's square both sides:

9 - x² = (b - (1/4)x²)²

Expanding the right side of the equation:

9 - x² = b² - 2b(1/4)x² + (1/16)x⁴

Combining like terms:

9 - x² = b² - (1/2)bx² + (1/16)x⁴

Since the two sides of the equation are equal for all values of x, the coefficients of each power of x must be equal. Comparing the coefficients, we have:

-1 = -b/2          (coefficient of x² term)

0 = 1/16          (coefficient of x⁴ term)

From the coefficient of the x² term, we can solve for b:

-b/2 = -1

b/2 = 1

b = 2

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Number of booths = 29

Food booth = 12

Cost of food booth = 175 + $4 per day

Game booth = (29 - 12) = 17

Cost of game booth = $50 + $10 per day

Number of days for which fair lasts (d) = 40 days

Total cost of food booth:

Number of booths * cost per booth

12($175 + 4d) ----(1)

Total cost of game booth:

Number of booths * cost per booth

17($50 + 10d) - - - (2)

(1) + (2)

12($175 + 4d) + 17($50 + 10d)

2100 + 48d + 850 + 170d

2950 + 218d

d = 40

2950 + 218(40)

2950 + 8720

= 11,670

Answer:

2d

Step-by-step explanation:

Since Pete has double what Leo has, we need to multiply Leo's number of stamps by 2. But because we don't know how many he actually has, and the amount is represented by "d", we multiple "d" by 2

Answer:

Step-by-step explanation:

The difference is

Pete had d more stamps than Leo

Answer:

a. Farmer janet

b.Farmer janet = 36 feet, daughter = 34 feet

Step-by-step explanation:

a. When moving both rates to the same common denominator we get 18/30 for janet and 17/30 for daughter

b. janet = 18/30 = 36/60, daughter = 17/30 = 34/60

Answer:

-24

Step-by-step explanation:

(-4)(6)

-24

Answer:

-24

Step-by-step explanation:

(-4)(6)

I'm pretty sure you just multiply these two numbers

So -4(6)

  =-24

Hope this helps :)

Answer:

You can break 24 things

Step-by-step explanation:

One minute is 60 seconds, so all you have to do is double how many things you can break in 30 seconds

Answer:

x = 24

Step-by-step explanation:

We can use a ratio to solve

30 seconds          60 seconds

------------------ = --------------

12 things           x things

Using cross products

30x = 60 * 12

Divide by 30

30x/30 = 60 * 12/30

x = 24

Answer:

36b + 30n

Step-by-step explanation:

1. solve your like terms inside the parentheses to get 6(6b + 5n)

2. distribute the 6 on the outside, to get 36b + 30n

:)

Answer:

The area is 77

Step-by-step explanation:

7*11=77

Answer:

area = 77

Step-by-step explanation:

if 7 is one side, and 11 is the other, and we know that length times width is the area of a rectangle or a square, we can set up a simple equation to solve for the area:

7 x 11 = ?

when looking at multiplying by 11s, the pattern is 2 of the number your multiplying it by until you exceed 9 (ex. 11 x 5 = 55, 11 x 4 = 44, 11 x 9 = 99, etc.) so:

7 x 11 = 77. which is your answer.

i hope this helped :))

9514 1404 393

Answer:

  30%

Step-by-step explanation:

If 30% of the fish are guppies, a randomly chosen fish will be a guppy with probability 30%.

[tex]f(x)=\frac{2x^2-7x+6}{x^2-9x+20}\\ f(x)=\frac{(2x-3)(x-2)}{(x-5)(x-4)}\\\\[/tex]

Therefore, the value of x must not be either 5 or 4 which will give the undefined answer.

Therefore, the domain is x<4, x>5 or R - {4,5}

Answer:

-3

Step-by-step explanation:

It's a negative slope and you do 3/1= 3 as it is negative the slope is -3

Hope this helped :)

The value of x within the given range is x = 45°.

We have the equation 2sin^2(x) = 1. To find the value of x within the given range, we can solve for sin(x) first and then find the corresponding angle.

Starting with 2sin^2(x) = 1, we divide both sides by 2 to get sin^2(x) = 1/2. Taking the square root of both sides, we have sin(x) = √(1/2). Since 0° < x < 90°, we know that sin(x) is positive in this range.

The value of √(1/2) is approximately 0.707. Therefore, sin(x) = 0.707.

To find the corresponding angle x, we can use the inverse sine function (sin^(-1)). Taking the inverse sine of both sides, we have x =[tex]sin^(^-^1^)^(^0^.^7^0^7^)[/tex].

Evaluating sin^(-1)(0.707) using a calculator, we find that x is approximately 45°.

Note that sine is a periodic function, and there are other angles that satisfy the equation 2sin^2(x) = 1. However, within the specified range of 0° < x < 90°, the value of x is 45°.

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9514 1404 393

Answer:

  $126

Step-by-step explanation:

110% more than 100% is 210% of his June earnings:

  july = 2.10×$60 = $126

Silva is projected to make $126 in July.

_____

As always, you can think of % and /100 as being interchangeable.

  210% = 210/100 = 2.10

Answer:

126

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

a. This equation states that the ending inventory for period j (sj) is equal to the beginning inventory from the previous period (sj-1) plus the production quantity in period j (xj), minus the demand in period j (dj).

b. This constraint ensures that the production quantity in period j (xj) does not exceed the production capacity for that period (Cj).

c. This constraint ensures that the ending inventory for period j (sj) is greater than or equal to the required inventory level for that period (Ij).

a. The mathematical relationship or model that shows ending inventory as a function of beginning inventory, production, and demand can be represented as:

sj = sj-1 + xj - dj

This equation states that the ending inventory for period j (sj) is equal to the beginning inventory from the previous period (sj-1) plus the production quantity in period j (xj), minus the demand in period j (dj).

b. If the production capacity for period j is given by Cj, the constraint that should be added is:

xj ≤ Cj

This constraint ensures that the production quantity in period j (xj) does not exceed the production capacity for that period (Cj).

c. If inventory requirements for period j mandate an ending inventory of at least Ij, the constraint that should be added is:

sj ≥ Ij

This constraint ensures that the ending inventory for period j (sj) is greater than or equal to the required inventory level for that period (Ij).

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Answer:

the 4th statement

Step-by-step explanation:

subsititute the values for h, use numbers between 1-10 to help find the answer.

Answer:

(p−3)⋅(3p+2)

Step-by-step explanation:

STEP 1 :

Equation at the end of step 1

(3p2 -  7p) -  6

STEP 2 :

Trying to factor by splitting the middle term

2.1     Factoring  3p2-7p-6  

The first term is,  3p2  its coefficient is  3 .

The middle term is,  -7p  its coefficient is  -7 .

The last term, "the constant", is  -6  

Step-1 : Multiply the coefficient of the first term by the constant   3 • -6 = -18  

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   -7 .

-18 + 1  = -17  

-9 +2 = -7 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  2  

                    3p2 - 9p + 2p - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3p • (p-3)

             Add up the last 2 terms, pulling out common factors :

                   2 • (p-3)

Step-5 : Add up the four terms of step 4 :

                   (3p+2)  •  (p-3)

            Which is the desired factorization

Final result :

 (p - 3) • (3p + 2)

Answer:

x=3

Step-by-step explanation:

Covert to decimals

5x+.25=15.25

5x=15.25-.25

5x= 15

x= 3

Standard Error for the sample mean ≈ 0.037

The standard error for the sample mean measures the average amount of variability or uncertainty expected in the sample mean compared to the population mean.

It quantifies how much the sample mean is likely to deviate from the true population mean.

In this case, the actual size of computer chips is normally distributed with a mean of 2 centimeters and a standard deviation of 0.2 centimeters.

By taking a random sample of 30 computer chips, we can estimate the mean size of the population.

The standard error for the sample mean can be calculated using the formula:

Standard Error = Standard Deviation / √(Sample Size)

Standard Error = 0.2 / √(30)

Calculating the square root of 30, we find:

Standard Error ≈ 0.037

This indicates that the sample mean is expected to deviate from the true population mean by around 0.037 centimeters on average.

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Answer:

No because 42% of 78 is 32.76

Step-by-step explanation:

Answer:

Step-by-step explanation:

The false statement about statistical analysis is: 3) Observational studies can determine cause and effect relationships. Option 3

Observational studies are a type of study in which researchers observe and collect data on individuals or groups without any intervention or manipulation of variables. These studies are often used to explore relationships and associations between variables but cannot establish cause and effect relationships.

In observational studies, researchers do not have control over the variables being studied, which means that they cannot manipulate or assign treatments to participants.

On the other hand, experiments are designed to investigate cause and effect relationships. In an experiment, researchers actively manipulate independent variables and control other variables to determine the effects on the dependent variable.

While observational studies are valuable in identifying patterns and associations, they cannot establish causality on their own. To establish cause and effect relationships, controlled experiments with random assignment are needed.

option 3

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Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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Answer: it’s 10/15 and 14/21 ;)

Step-by-step explanation: