Brawdy Plastics, Inc. produces plastic seat belt retainers for General Motors at their plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. If required, enter negative values as negative numbers.
a. Select a scatter diagram with the line speed as the independent variable.
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
c. Use the least squares method to develop the estimated regression equation (to 1 decimal). = + x d. Predict the number of defective parts found for a line speed of 25 feet per minute.

The equation to represent the relationship between n, the number of times she visits the coffee shop, and b, the total balance on her gift card is b = - 3.75n + 50

Mia has $50 on a gift card to her favourite coffee shop. Each time she visits the coffee shop she spends $3.75 on her favourite drink.

The equation to represent the relationship between n, the number of times she visits the coffee shop, and b, the total balance on her gift card can be represented as follows:

Therefore,

Hence, the equation is as follows;

b = - 3.75n + 50

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Answer:

5a=8+2

5a=10/:5

a=2

it is okay?

As the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year and according to that it will take 63.36 years to double the population.

A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study.

According to the question:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

P(t) = [tex](1.011)^{t}[/tex]

⇒ [tex]7.1[/tex] × [tex]2 = 7.1 (1.011^{t}[/tex]

⇒ [tex]\frac{7.1 * 2}{7.1} = 1.011^{t}[/tex]

⇒ [tex]1.011^{t}[/tex] = 2

Now let us solve for t using logarithm.

[tex]ln(2) = ln(1.011)^{t}[/tex]

⇒ ln(2) = t . ln(1.011)

⇒ 0.6931471805599 = t × 0.0109399400383

⇒ t = 0.0109399400383/ 0.6931471805599

⇒ t = 63.3593217

⇒ t ≈ 63.36

Therefore, it will take 63.36 years the population to be double.

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Answer:

720

Step-by-step explanation:

100/5 = 20, so 20 tires made in 1 hour and 20 x 36 would be 720 so answer is 720

Answer: No

Step-by-step explanation:

Because 1 2/4 = 6/4 = 3/2 or 1.5

When the other one is a negative fraction which is very obviously that 1 2/4 is greater than -2/3

Answer: 1 2/4 is greater than -2/3

Step-by-step explanation: A positive number is always greater than a negative number, even when dealing with fractions

Answer:

Q=7x+1, R=-6x-1

Step-by-step explanation:

 7x + 1

 ----‐----------------------------

 x² + 1 | 7x^3 + x^2 + x

 -) 7x^3 +7x

---‐---‐----------------------------

 x^2 -6x

 -) x^2 +1

 --------------------

 -6x-1

Answer:

Below

Step-by-step explanation:

Start with point (3,5) slope (5/3) form:

(y-5) = 5/3 (x-3)        expand

y-5 = 5/3 x -5          re-arrange by adding 5 to both sides

y = 5/3 x                    done!

The side length of the original cube for the given measurements and condition is equal to 8.6ft.

As given in the question,

Let 'x' be the side of the original cube.

Volume of original cube = x³

As given 8ft thick slice is cut from the top of the cube.

Volume of the thick slice = 8x²

Volume of the resulting rectangular box = 44

⇒ x³ - 8x² = 44

⇒ x³ - 8x² -44 =0

Plot the graph of the function.

Graph is attached.

From the graph approximate value of side length 'x' = 8.6 ft.

Therefore, the side length of the original cube is equal to 8.6ft.

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The answer would be 89 after 534 divided by 6 and applying the concept of arithmetic operation.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

534 divided by 6

[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace8\emptyspace9\:\:\:\:\:\:\:\:\:\:\:\:\\ 6\overline{|\smallspace534}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace5\emptyspace4\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace5\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

The A = 48

B = 54

C = 54

After applying the concept of arithmetic operation.

Thus, the answer would be 89 after 534 divided by 6 and applying the concept of arithmetic operation.

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The eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector is Ax = λx.

Symmetric matrix:

In algebra, symmetric matrix a square matrix that remains unaltered when its transpose is calculated.

Given,

Here we need to find the the eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector and the larger eigenvalue has associated unit eigenvector.

Here the eigenvector is a vector that is associated with a set of linear equations.

And in the eigenvector of a matrix is also known as a latent vector, proper vector, or characteristic vector.

Therefore, those are defined in the reference of a square matrix.

So, the smaller eigenvalue has associated unit eigenvector is Ax is λx.

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Based on the image given above, the angles that are numbered can be classified as:

∠1 and ∠2: vertical angles

∠3 and ∠4: adjacent angles

Angles that share the same vertex and also the same side, are said to be angles that lie next to each other which are called adjacent angles.

For example, the angles in the image given that are numbered as 3 and 4, share the same vertex and a common side. Therefore, they are adjacent angles.

If two angles are formed to lie directly opposite to each other when two lines intersect at a point, the angles share a common point but do not share a common side. These set of angles are called vertical angles.

For example, in the image given, angles 1 and 2 are vertical angles.

Therefore, the angles would be classified as:

Angles 1 and 2: vertical angles

Angles 3 and 4: adjacent angles

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Answer:

3 and 4 are adjacent angles, and 1 and 2 are vertical angles.

Step-by-step explanation:

vertical angles are across from each other while adjacent is next to each other. the other person's explanation is better than mine though. :')

Answer: 1+1

Step-by-step explanation:

I not giving

The joint probability mass function of N1 and N2 for the given transistors is 1/15.

For the stated question-

N1: The number of tests conducted before the first flaw is found = 2/6.

N2: The number of tests that must be performed before the second problem is found = 1/5.

If N1 = 1 and N2 = 1, then

P(N1 = 1; N2 = 1) = 2/6 x 1/5

P(N1 = 1; N2 = 1) = 2/30

P(N1 = 1; N2 = 1) = 1/15

Thus, joint probability mass function of N1 and N2 for the given transistors is 1/15.

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Answer:

hope this will help you

The probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi is 43.25%.

Given that,

The tensile strength of a synthetic fiber used to make carpet is regularly distributed, with a mean of 75.5 psi and a standard deviation of 3.5 psi. We have to determine probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi.

We know that,

The Z score is used to determine how far the raw score deviates from the mean, either above or below.

z = (score - mean) / (standard deviation ÷ √sample)

Mean 75.5 psi and standard deviation 3.5 psi. n = 6.

For > 75.75:

z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17

P(z>0.17) = 1-P(z<0.17)

= 1-0.5675

= 43.25%

Therefore, The probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi is 43.25%.

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Answer:

(2x−1=2x−1) (mark me brainliest) <3!

The total number of possible dinner combinations are 15

What are Combinations?

The number of ways of selecting r objects from n unlike objects is calculated by combination. The formula for combination is

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of dinner combinations be = T

Now ,

The values of Starters is represented in set = A

The values of Entree is represented in set = B

The values of Set A = { bread sticks , soup , salad }

The values of Set B = { beef , fish , chicken , shrimp , pork }

Now , the total combinations of possible selection of Starters = ³C₁

The total combinations of possible selection of Entree = ⁵C₁

So , the total number of dinner combinations T = total combinations of possible selection of Starters x total combinations of selection of Entree

And , the equation is

The total number of dinner combinations T = ³C₁ x  ⁵C₁

The total number of dinner combinations T = 3 x 5

The total number of dinner combinations T = 15

Therefore , the value of T is 15

Hence , The total number of possible dinner combinations are 15

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Answer:

16.5

Step-by-step explanation:

hence the answer is 16.5 feet

Using the empirical rule, about 99.7% of the scores lie between 75 to 93

In this question, we have been given ms. wilson's science test scores are normally distributed with a mean score of 84 (μ) and a standard deviation of 3 (σ).

We know that the empirical rule predicts that 99.7% within the first three standard deviations (µ ± 3σ).

An empirical rule is also known as 68-95-99.7 rule.

We find the interval (µ ± 3σ)

The upper value would be,

µ + 3σ

= 84 + 3(3)

= 84 + 9

= 93

and the lower value would be,

µ - 3σ

= 84 - 3(3)

= 84 - 9

= 75

Therefore, about 99.7% of the scores lie between (75, 93)

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The probability of obtaining between 56 and 73 tails, inclusive will be approximately 0.8561.

To approximate the resulting binomial distribution, we will use the normal distribution as an approximation when certain conditions are met.

The number of trials, n, is large n = 130.

The probability of success, p, is not too close to 0 or 1

Then the coin is fair, so p = 0.5.

We have to calculate the probability of obtaining between 56 and 73 tails, inclusive.

Mean (μ) = n x p = 130 x 0.5 = 65

Standard Deviation (σ) = √(np (1 - p))

(σ) = √(130 x 0.5 x 0.5) ≈ 5.7

Using a standard normal distribution, we can determine the z-scores corresponding to 56 and 73 tails:

z1 = (56 - μ) / σ ≈ (56 - 65) / 5.7

≈ -1.58

z2 = (73 - μ) / σ ≈ (73 - 65) / 5.7

≈ 1.40

P(56 ≤ x ≤ 73) ≈ P(-1.58 ≤ z ≤ 1.40)

Now we can determine these probabilities and subtract them.

P(-1.58 ≤ z ≤ 1.40) ≈ 0.9155 - 0.0594

P(-1.58 ≤ z ≤ 1.40) ≈ 0.8561

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These three expressions

6x ÷ 6 = 20 ÷ 6

6x + 5 = 20 + 5

6x − 1 = 20 − 1

will be equal to the given expression.

Operators, constants, and variables all come together to form an expression. A value can be produced by an expression using one or more operands and zero or more operators.

We have to check which equation will be equal to 6x = 20

6x ÷ 6 = 20 ÷ 6

After Multiplying both sides by 6.

We get, 6x = 20

6x ÷ 6 = 20 ÷ 20

After simplifying we get,

x = 1

Multiplying both sides by 6

6x = 6, Hence it doesn't satisfy.

6x + 5 = 20 + 5

Subtract 5 both sides of the equation

We get, 6x = 20

6x − 1 = 20 − 1

Adding 1 both sides of the equation,

We get, 6x = 20

6x × 6 = 20 × 20

After simplifying, we get

36x = 400

Hence, only

6x ÷ 6 = 20 ÷ 6

6x + 5 = 20 + 5

6x − 1 = 20 − 1

will be equal to the given expression.

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Answer:

[tex]y = 3.48(1.32)^{x}[/tex]

Step-by-step explanation:

8 = ab^3

42 = ab^9

b = 1.32

[tex]\frac{8}{(1.32)^{3} } =\frac{a(1.32)^{3} }{(1.32)^{3} }[/tex]

a = 3.48

Answer:

[tex]y = 3.48(1.32)^{x}[/tex]

The margin of error corresponding to the 95% confidence interval for a sample mean constructed from a sample of size 53 is 7.94.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error

z = found by using a z-score table

SD = sample standard deviation = 29.5

n = sample size = 53

At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.

(100 - 95) / 2 = 2.5

100 - 2.5 = 97.5

Find 0.975 in the z-table to get the value of z.

At p = 0.975, z = 1.96

Plug in the values to the formula and solve for the margin of error.

MOE = z x (SD / √n)

MOE = 1.96 x (29.5/√53)

MOE = 7.94

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Answer: Take 3326 and divide by 3

Step-by-step explanation: This will check to see if her answer is correct or not. If 3326 is divided by 3 and gets 842 then her answer is correct!

If you can please give me a Brainliest, I only need 2 more to become an Ace, thank you!

3326 ÷ 3 = 1108.666667

Take the answer 3326, and divide it by 3, and we should get 842:

3326 ÷ 3 = 1108.666667

It does not equal 842.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Answer:

9⁶

Step-by-step explanation:

[tex]\dfrac{9^2}{9^{-4}} = 9^2 9^{4} = 9 ^ {(2 + 4)} = 9^6[/tex]

Reciprocal of a number raised to exponent is the same as the number raised to the negative of the original exponent

So
[tex]\dfrac{1}{9^{-4}} \text{ becomes } 9^4[/tex]

Answer:

Step-by-step explanation:

The correct equation is Option A which states that x+16 = 70. The reason for this is opposite angles (or vertical angles) in parallel lines are congruent.

When two lines intersect they form a pair of opposite or vertical angles. In this case, the vertical angles are:

70° ≅  t

p ≅ s

q ≅ (x +16)°

r ≅ u

Given that lines AB and CD are parallel, and that both cut through lines EF, that means q ≅ 70°

Hence,

∡ ApE = 70° = ∡DrF

If we need to find x

Since DrF (x+16) °= 70°

x = 54°

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