the defect levels, as reported by motorola in their six sigma program, were higher than they expected from using a standard normal table for their capability calculations. why was this true? motorola found their processes followed the exponential distribution motorola allowed for failure in one tail only motorola had not allowed for a 1.5 sigma shift in the mean motorola found that six sigma efforts increased process variation

Answer:

a=107°

Step-by-step explanation:

The angles along a straight line always add up to 180. 73+107=180

Answer:

180° - 73° = 107°

a= 107°

Step-by-step explanation:

He bro! What's up ? Are you from US?

Given

Equation

x tea chart __, 0, 2, __

y tea chart 0,__, __, 3

Procedure

y = 0

12x = 16

x = 16/12

x = 4/3

x = 0

-8y = 16

y = 16/-8

y = -2

x = 2

12(2) - 8y = 16

24 - 8y = 16

-8y = 16-24

-8y = -8

y = 1

y = 3

12x - 8(3) = 16

12x - 24 = 16

12x = 16+24

12x = 40

x = 40/12

x = 20/6

x tea chart 4/3, 0, 2, 20/6

y tea chart 0, -2, 1, 3

Answer:

The lowest length on the third side is less that 30 and the largest is between 40 and 30

Step-by-step explanation:

Answer:

944 cm²

Step-by-step explanation:

get the area of each side: 12*10+10*16+12*16= 472

2 sets of each side: 944

Answer:

A=314 feet

Step-by-step explanation:

\(A=\pi r^{2}\)

\(A=3.14*10^{2}\)

\(A=3.14*100\)

\(A=314 feet\)

The three numbers that are in the ratio 7:3:2 are 70, 30, and 20.

A ratio in mathematics demonstrates how many times one number is present in another.

For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

So, let 7x, 3x, and 2x be the three numbers.

7x+2x = 9x is the product of the lowest and greatest number.

In accordance with:

9x-30=2(3x)

To make the equation easier:

9x-30=6x

30 extra on both sides:

9x=6x+30 or,9x-6x=30

3x=30, x=10,

So, the numbers will be:

7x=7(10) = 70

3x=3(10) = 30

2x=2(10) = 20

Therefore, the three numbers that are in the ratio 7:3:2 are 70, 30, and 20.

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The analysis of the quantities of resourses and constraints using linear programming indicates that the profit of the company is maximized when we get;

Linear programming ia a mathematical method that is used to optimize a linear objective function based on a set of linear inequality or equality constraints.

The number of packages of waffles and muffins, the bakery should make can be found using linear programming as follows;

Let x represent the number of packages of waffles, and let y represent the number of packages of muffins, we get;

The profit, which is the objective function is; P = 1.5·x + 2·y

The constraints are;

1. The amount of the starter dough cannot exceed 250  pounds, therefore;

x + (3/4)·y ≤ 250

2. The time to make the waffles and muffins is less than 20 hours, therefore;

6·x + 3·y ≤ 20 × 60

3. The number of waffles and muffins are positive values; x ≥ 0, y ≥ 0

The vertices of the feasible region are; (0, 333.3), (100, 200), (200, 0), and (0, 0)

The point that maximizes the objective function can be found as follows;

Profit objective function; P = 1.5·x + 2·y

Point (0, 333.3); P = 1.5 × 0 + 2 × 333.3 ≈ 666.7

Point (100, 200); P = 1.5 × 100 + 2 × 200 = 550

Point (200, 0); P = 1.5 × 200 + 2 × 0 ≈ 300

The maximum profit is therefore obtained at the point (0, 333.3). Therefore, the maximum profit is achieved when x = 0, and y = 333.3

The above analysis means that to maximize profit, the bakery should make 0 packages of waffles and 333 packages of muffins

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P = 140,000 - 41,000

P = 99,000

The population of Brownsville in 1990 was 99,000 people.

The objective function formula that is nonlinear is - 2xy/2xy + z

From the question, we have the following parameters that can be used in our computation:

- 2xy/2xy + z

- x + y + z

- 3x - 2y + z

A linear function is a function that has a degree of 1

Other functions with other degrees are nonlinear

Using the above as a guide, we have the following functions with a degree of 1

- x + y + z

- 3x - 2y + z

Hence, the objective function formulas that is nonlinear is - 2xy/2xy + z

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Answer:

1/4x+1/4y=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

PEMDAS

anything done in the parentheses comes first

so you have to add first then multiply

this is not the distributive property unless the two numbers in parentheses are not like terms

Answer:

\(90\% = \frac{90}{100} \\ = \frac{9}{10} = 0.9\)

Answer:

The simplest form of

90/100

is

9/10

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 90 and 100 is 10

Divide both the numerator and denominator by the GCD

90 ÷ 10

100 ÷ 10

Reduced fraction:

9

10

Therefore, 90/100 simplified to lowest terms is 9/10.

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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The triangle ΔABC is similar to the triangle ΔDEF. Then the value of the variable 'x' is 9 inches.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔABC and ΔDEF, we have

∠B = ∠D    (Given)

∠C = ∠F    (Given)

Then the triangles ΔABC and ΔDEF will be similar to each other. Then the ratio of the corresponding sides will be constant. Then the equation is given as,

AC / DF = BC / EF

x / 12 = 6 / 8

x = 12 x 6 / 8

x = 72 / 8

x = 9 inches

The triangle ΔABC is similar to the triangle ΔDEF. Then the value of the variable 'x' is 9 inches.

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Answer:

That he made a medicine that reduces coughing

Step-by-step explanation:

Using proportions, it is found that $15.00 in quarters weigh 29.4 grams less today than before 1965.

A proportion is a fraction of a total amount.

In this problem, a quarter is worth $0.25, hence $15.00 in quarters is composed by 60 quarters, as:

\(\frac{15}{0.25} = 15 \times 4 = 60\)

Before 1965, the total weight was of:

60 x 6.25 = 375 grams.

After that, the total weight is of:

60 x 5.76 = 345.6 grams.

Hence the difference is:

375 - 345.6 = 29.4.

$15.00 in quarters weigh 29.4 grams less today than before 1965.

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The incident ray, reflected ray, and normal ray all lie in the same plane at the point of incidence, according to the laws of reflection. (ii) Both the incidence and reflection angles are equal.

Therefore, reflection angles are equal.

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The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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Answer:

Step 4 is wrong and so is Step 7

Step-by-step explanation:

In step 4, she would have had to add 8 to both sides.

In step 7, the answer is first of all, wrong, and second of all, it would have been negative 1. (if even 1)

x is supposed to equal -9

Hope I helped :)

Please consider Brainliest :)

Answer:

Step 3 is wrong and step 4 is wrong too.

Step four was she was supposed to ADD 8 not subtract. In step 3, ur not supposed to have 2 operators (ex: operators are division sign, multiplication, subtraction, and addition sign. )

Hope this helps :)

Answer:

yes, $440

Step-by-step explanation:

typically they cost about $440 so i think so

The dimensions x and x+50 are 150 ft by 200 ft. When two polygonal or polyhedral vertices are not on the same edge, a diagonal is a line segment connecting them.

When two polygonal or polyhedral vertices are not on the same edge, a diagonal is a line segment connecting them. Any sloping line is known as a diagonal informally.

If you draw a diagonal, you have 2 right triangles, each with leg lengths of x and x + 50.

The diagonal is the hypotenuse, h = 250

Using Pythagorean theorem:

X² + (x+50)² = 250²

x² + x²+ 100x + 2500 = 62500

2x²+ 100x - 60000 = 0

All are even, so factor out a 2:

x² + 50x - 30000 = 0

From quadratic equation:  x = [-50±√(50²-4(1)(-30000))]/(2(1))

x = (-50 ± 350)/2

We can disregard the negative so

x = (-50 + 350)/2 = 300/2 = 150 ft

The dimensions x and x+50 are 150 ft by 200 ft

The complete question is: A rectangular parking lot is 50ft longer than it is wide. Determine the dimensions of the parking lot if the diagonal distance from corner to corner of the lot is 250ft.

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The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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There are 11 questions worth 5 points and 3 questions worth 15 points.

To find the correct number of questions:

Let, 5-point questions are x and 15 marks questions are y.

The total points are 100 so the other equation will be:

Now, multiply equation (1) by 5 and then subtract it by equation (2) as follows:

Therefore, there are 11 questions worth 5 points and 3 questions worth 15 points.

Now,

So, questions worth 15 marks are 3 then, and questions worth 5 marks will be 14 - 3 that is 11.

Therefore, there are 11 questions worth 5 points and 3 questions worth 15 points.

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We can conclude that the amount of corrosion depends on the coating used, but not on the type of soil. Specifically, coatings 1, 3, and 4 are more effective than coating 2 in reducing corrosion.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

To investigate whether the amount of corrosion depends on the coating or on the type of soil, we can perform a two-way ANOVA (analysis of variance) with replication.

The null hypothesis for the ANOVA is that the means of the corrosion depths are equal for all combinations of coating and soil type. The alternative hypothesis is that at least one mean is different from the others.

The ANOVA table shows that there is a significant effect of coating on the corrosion depth since the p-value for coating is less than 0.05. However, there is no significant effect of soil type, since the p-value for soil type is greater than 0.05. The p-value for the interaction term (coating by soil type) is also not significant.

Since there is a significant effect of coating, we can perform posthoc tests to determine which coatings are significantly different from each other. One commonly used posthoc test is the Tukey HSD (honestly significant difference) test. The results of the Tukey test are presented in the table below:

Comparison                     Difference in means Standard error p-value

Coating 1 - Coating 2                   11.0                2.479         0.005

Coating 1 - Coating 3                   14.0                2.479        <0.001

Coating 1 - Coating 4                   13.0                2.479        <0.001

Coating 2 - Coating 3                    3.0                2.479          0.730

Coating 2 - Coating 4                    2.0                2.479          0.947

Coating 3 - Coating 4                   -1.0                 2.479          1.000

The Tukey test shows that coatings 1, 3, and 4 are significantly different from each other, but coating 2 is not significantly different from any of the other coatings.

Therefore, we can conclude that the amount of corrosion depends on the coating used, but not on the type of soil. Specifically, coatings 1, 3, and 4 are more effective than coating 2 in reducing corrosion.

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Answer:

reflection

transition left / right are the location of the vertex

For a normal distribution of random variable of tread life of a particular brand, the probability a particular tire of this brand will last longer than 58,400 miles is equals to the 0.4533.

We have, tread life of a particular brand of tire is represents a random variable. It is normally distributed with mean, μ = 60,500 miles

Standard deviations, σ = 2800 miles

We have to determine probability a particular tire of this brand will last longer than 58,400 miles, P( X > 58,400). Using normal distribution the z-score formula is

\(z = \frac { X - \mu }{ \sigma}\)

where, X --> observed value

μ --> mean

σ --> standard deviations

Here, X = 58400, substitute all known values in above formula, \(z = \frac { 58400- 60500}{ 2800}\)

= - 0.75

Now, the required probability, P( X > 58,400 = \(P( \frac { X - \mu }{ \sigma} > \frac { 58400- 60500 }{ 2800})\)

= P(z> -0.75)

Using the normal distribution table, the value P(z> -0.75) is equals to . So, P( X > 58400) = 0.4533. Hence, required probability value is 0.4533.

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Answer:

the answer is c

Step-by-step explanation:

not enough information

Answer:

Step-by-step explanation:

İt is SSS

Because

∡FBG=∡FBC

∡BFC=∡BFG

=> ∡BCF=∡BGF => SSS

An expression for the total number of fish in the store is 22n.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. Since the pet store has n tanks of fish. Each tank has 22 fish. Using n, an expression for the total number of fish in the store will be

= 22 × n

= 22n

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Answer:

8

Step-by-step explanation:

Number = 2x

Therefore, 2x + 8 = 8(x - 5)

2x + 8 = 8x - 40

6x = 48

x = 8

The width of the rectangle with a perimeter of 220 inches is 38 inches.

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

The perimeter of a rectangle is expressed as;

P = 2( length + width )

Given the data in the question;

Let x represent the width of the rectangle.

To solve for the width ( x ), plug the given values into the perimeter formula above and solve for x.

P = 2( length + width )

220 = 2( (2x - 4 ) + x )

220 = 2( 2x - 4 + x )

220 = 2( 3x - 4 )

220 = 6x - 8

6x = 220 + 8

6x = 228

x = 228/6

x = 38

Therefore, the width of the rectangle x is 38 inches.

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