a smart phone consists of 22 distinct parts. each part is made in a plant that has average quality control so that only 1 out of 500 (.002) is defective. the smart phones are assembled in a plant in nyc. what is the probability that it will not work properly? round to two decimal places

Answer:

the number of atoms, molecules, ions, formula units, or other particles in a mole of a substance

Step-by-step explanation:

EDU 2020

According to the question For a) This statement is correct. For b) statement is incorrect. For c) statement is correct. For d) statement is incorrect and For e) This statement is correct.

a. A linear transformation is a special type of function.

This statement is correct. A linear transformation is a function between vector spaces that preserves the vector addition and scalar multiplication operations. In other words, it satisfies two properties: preservation of addition

\(\[T(u + v) = T(u) + T(v)\]\)

and preservation of scalar multiplication

\(\[T(cu) = cT(u)\]\)

where \(\(T\)\) is the linear transformation, \(\(u\)\) and \(\(v\)\) are vectors, and \(\(c\)\) is a scalar.

b. If \(\(A\)\) is a \(\(3 \times 5\)\) matrix and \(\(T\)\) is a transformation defined by  \(\(T(x) = Ax\),\) then the domain of \(\(T\)\) is \(\(\mathbb{R}^5\).\)

This statement is incorrect. The domain of the transformation \(\(T\)\) is determined by the size of the input vectors, which in this case is determined by the number of columns of matrix \(\(A\)\). Since \(\(A\)\) is a \(\(3 \times 5\)\) matrix, the domain of \(\(T\)\) is \(\(\mathbb{R}^5\), not \(\mathbb{R}\).\)

c. If \(\(A\)\) is an \(\(m \times n\)\) matrix, then the range of the transformation \(\(x \rightarrow Ax\)\) is \(\(\mathbb{R}^m\).\)

This statement is correct. The range of the transformation \(\(x \rightarrow Ax\)\) is the set of all possible outputs obtained by multiplying the matrix \(A\)\) with the input vectors \(\(x\).\) Since \(\(A\)\) is an \(\(m \times n\)\) matrix, the resulting vectors will have \(\(m\)\) dimensions. Therefore, the range of the transformation is \(\(\mathbb{R}^m\).\)

d. Every linear transformation is a matrix transformation.

This statement is incorrect. While every matrix transformation is a linear transformation (since matrix multiplication satisfies the properties of linearity), not every linear transformation can be represented by a matrix. Linear transformations can have various forms and may not always be expressible as matrix multiplication.

e. A transformation \(\(T\)\) is linear if and only if \(\(T(cv + c_2v_2) = cT(v_1) + c_2T(v_2)\)\) for all \(\(v_1\)\) and \(\(v_2\)\) in the domain of \(\(T\)\) and for all scalars \(\(c\)\) and \(\(c_2\).\)

This statement is correct. This equation represents the linearity property of a transformation. A transformation \(\(T\)\) is linear if and only if it satisfies this equation, which states that the transformation of a linear combination of two vectors is equal to the linear combination of the transformed vectors.

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The resultant equation after multiplying the equation 2x - 3y = 7 with 2 is  4x - 6y = 14

Algebraic expressions in mathematics are equations or expressions that have at least one variable and one constant. These algebraic expressions connect the numerous variables and constants through two fundamental mathematical processes, addition, and subtraction.

Here we have

2x - 3y = 7 is an equation multiplied by 2

=> 2 × ( 2x - 3y)  = 2 × 7

Multiply each term of the equation with 2

=>   2 × 2x - 2 × 3y = 2 × 7

=> 4x - 6y = 14

Therefore,

The resultant equation after multiplying the equation 2x - 3y = 7 with 2 is  4x - 6y = 14

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The total number of bacteria in the dish is 31457280

The expression is given as:

Total = (32)^4 * 30

Start by evaluating the exponent

Total = 1048576 * 30

Next, evaluate the product

Total = 31457280

Hence, the total number of bacteria in the dish is 31457280

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Answer:

A (3^8)

Step-by-step explanation:

I have this question on my test. I'm just assuming the person didn't put ^.

(3^2)^4 times 3^0

Answer: like and rate

The area of a triangle is 14 cm square.

Step-by-step explanation:

The area of a triangle is 14 cm square.

Step-by-step explanation:

Given : The expression  gives the area of a triangle where b is the base of the triangle and h is the height of the triangle.

To find : What is the area of a triangle with a base of 7 cm and a height of 4 cm?

Solution :

The area of triangle is  

Where, b is the base b=7 cm

and h is the height h=4 cm.

Substitute in the expression,

Therefore, The area of a triangle is 14 cm square.

Answer:

Associative Property of Addition

Step-by-step explanation:

According to the Associative Property of Addition, when three real numbers are added, it makes no difference which two are added first.

(a + b) + c = a + (b + c)

Therefore, 8 + (2 + 6) = (8 + 2) + 6 is an example of the Associative Property of Addition.

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From the various triangle proofs below, we have been able to show that; 3A F = AC

A median of a triangle is defined as a line segment from a vertex of the triangle to the midpoint of the side opposite that vertex.

We are given that;

AD is the median of ΔABC.

E is the midpoint of AD

Through D, we draw DG parallel to BF

In ΔADG, E is the midpoint of AD and EF is parallel to DG

By using the converse of midpoint theorem, we have;

F is midpoint of AG and A F = FG     ------(eq 1)

Likewise, In ΔBCF ;

D is the midpoint of BC and DG is parallel to BF  

G is midpoint of CF and FG is congruent to GC (FG ≅ GC) .........(eq 2)

From equations 1 and 2, we will get;

A F = FG = GC     -------(3)

Thus;

A F + FG + GC = AC

A F + A F + A F = AC (from eq 3)

3A F = AC

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Answer:

does anyone else miss their best friend ?? :C

Step-by-step explanation:

ZACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK COMEEEEEEEE BACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answer:

U okay?

Step-by-step explanation:

d is not a polynomial coz it has negative power

The radius of a circle is 5 feet, 23.55 feet is the length of an arc.

The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc.

The arc length formula may be used to get a circle's arc length from its radius and central angle.

The distance between two places in a curve's section is known as the arc length of a circle. Any portion of a circle's circumference is an arc. An arc's angle at any given location is the angle created by the two line segments connecting that point to the arc's endpoints.

Given that,

radius (r) = 5 feet

angle (θ) = 3π/2

Now as we know,

Arc length = radius x subtended angle in radians

or, Arc length = 5 feet x (3π/2 radians)

or, Arc length = 15π/2

or, Arc length = 23.55 feet

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

By comparing the given series with (D) and taking the limit of their ratios as n approaches infinity, we can determine the convergence/divergence behavior of the given series.

To determine whether the series ∑ n=1 to ∞ (n^3 + 3n) / (25 + 2^n) converges or diverges using the limit comparison test, we need to compare it with a known series. The limit comparison test states that if the ratio of the terms of two series approaches a finite nonzero value as n approaches infinity, then both series either converge or diverge.

Let's examine the answer choices provided:

(A) ∑ n=1 to ∞ (n^1) / (B)

(B) ∑ n=1 to ∞ (n^2) / 1

(C) ∑ n=1 to ∞ (n^2) / 5

(D) ∑ n=1 to ∞ (n^3) / 1

Out of these choices, we can see that (D) ∑ n=1 to ∞ (n^3) / 1 has the same power of n in the numerator as the given series. Therefore, we can use the limit comparison test with this series to determine whether the given series converges or diverges.

By comparing the given series with (D) and taking the limit of their ratios as n approaches infinity, we can determine the convergence/divergence behavior of the given series.

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A) The probability that a resident rents their home can be calculated by dividing the total number of renters (6,000) by the total number of residents (16,000).

The probability that a resident rents their home is 6,000/16,000, which simplifies to 0.375 or 37.5%.

In the given data, there are 6,000 renters out of a total of 16,000 residents. The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome is being a renter, and the total number of possible outcomes is the total number of residents. Dividing the number of renters by the total number of residents gives us the probability.

The probability that a resident rents their home is 37.5%. This implies that approximately 37.5% of the residents in the town are renters.

B) The probability that a resident has been at their address for more than 2 years can be calculated by dividing the number of residents who have been at their address for more than 2 years (9,500) by the total number of residents (16,000).

The probability that a resident has been at their address for more than 2 years is 9,500/16,000, which simplifies to 0.59375 or 59.375%.

In the given data, there are 9,500 residents who have been at their address for more than 2 years out of a total of 16,000 residents. Dividing the number of residents who have been at their address for more than 2 years by the total number of residents gives us the probability.

The probability that a resident has been at their address for more than 2 years is 59.375%. This implies that approximately 59.375% of the residents in the town have been at their address for more than 2 years.

C) The probability that a resident is a renter and has been at their address for less than 2 years can be calculated by dividing the number of renters who have been at their address for less than 2 years (4,500) by the total number of residents (16,000).

The probability that a resident is a renter and has been at their address for less than 2 years is 4,500/16,000, which simplifies to 0.28125 or 28.125%.

In the given data, there are 4,500 renters who have been at their address for less than 2 years out of a total of 16,000 residents. Dividing the number of renters who have been at their address for less than 2 years by the total number of residents gives us the probability.

The probability that a resident is a renter and has been at their address for less than 2 years is 28.125%. This implies that approximately 28.125% of the residents in the town are renters who have been at their address for less than 2 years.

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An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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The mean is 0.8 and the standard deviation is 0.8579.

The experimental probability consists of many trials. When the difference between the theoretical probability of an event and its relative frequency get closer to each other, we tend to know the average outcome. This mean is known as the expected value of the experiment denoted by .

In a normal distribution, the mean is zero and the standard deviation is 1.

In a binomial experiment, the number of successes is a random variable. If a random variable has a binomial distribution, its standard deviation is given by: = √npq, where mean: = np, n = number of trials, p = probability of success and 1-p =q is the probability of failure.

In a Poisson distribution, the standard deviation is given by = √λt, where λ is the average number of successes in an interval of time t.

Sample space = n = 10

Probability of winning = p = 0.08

Probability of losing = q = 1 - p = 1 - 0.08 = 0.92

Mean, μ = np = 10×0.08 = 0.8

Standard deviation, σ =  \(\sqrt{npq}\)

∴ σ = \(\sqrt{10 * 0.08* 0.92} = \sqrt{0.736} = 0.8579\)

Thus, the mean is 0.8 and the standard deviation is 0.8579.

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Answer:

1 - (1/4 + 2/3)

1 - (3/12 + 8/12)

1 - 11/12

1/12 left

Answer:

answer C!!

Step-by-step explanation:

Given  : sphere with radius 15.To find : Which expression gives the volume.Solution : We have given that radius of sphere = 15 units.Volume of sphere =  .Plugging the value of radius Volume of sphere =  .

Up 8 Units, Hope this helps :)

The factorization is given as 9x² - 9x - 44

Factorize fully 3 ( x − 4 )² + 15 ( x − 4 )

(3x - 4)² + 15(x-4)

(3x - 4)(3x - 4) + 15(x-4)

we have to open the bracket

9x² - 12x - 12x + 16 + 15x - 60

take the like terms in the equation

9x² - 24x + 15x +16 - 60

9x² - 9x - 44

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Answer:

I think its -2,-3 but im not 100% sure

The approximate chance that the sum of draws is smaller than 6100 is 58.9%.

We can use the central limit theorem to approximate the distribution of the sum of draws from the box. According to the central limit theorem, the sum of draws will be approximately normally distributed with a mean of 200*30 = 6000 and a standard deviation of sqrt(200)*10 = 447.21.

To find the probability that the sum of draws is smaller than 6100, we can standardize the value using the formula for z-score:

z = (x - mu) / sigma

where x is the value of interest (6100), mu is the mean (6000), and sigma is the standard deviation (447.21).

z = (6100 - 6000) / 447.21 = 0.2238

Using a standard normal distribution table or calculator, we can find the probability that a standard normal variable is less than 0.2238. This is approximately 0.589, or 58.9%.

Therefore, the approximate chance that the sum of draws is smaller than 6100 is 58.9%.

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Answer: x = 2, y = 4/2

Step-by-step explanation:

Solve the System of Equations

x + 3y = 6 6x − 6y = 4

Subtract 3y from both sides of the equation.

x = 6 − 3y 6x − 6y = 4

Replace all occurrences of x with 6 − 3y in each e quation.

Replace all occurrences of x in 6x − 6y = 4 with 6 − 3y.

6 (6 − 3y) − 6y = 4

x = 6 − 3y

Simplify 6 (6 − 3y) − 6y.

36 − 24y = 4

x = 6 − 3y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

−24y = −32

x = 6 − 3y

Divide each term by −24 and simplify.

y = 4/3

x = 6 − 3y

Replace all occurrences of y with 4/3 in each equation.

Replace all occurrences of y in x = 6 − 3y with 4/3

x = 6 − 3 ( 3 )

y= 4/3

Simplify 6 − 3 ( 4 )

x = 2  

y = 4/3

The solution to the system is the complete set of ordered pairs that are valid solutions.

(2, 4 /3 )

The result can be shown in multiple forms.

Point Form:  2, 4 /3

Equation Form:  x = 2, y = 3

Hello,

Let's say y= log(x) in base 10.

\(\\y=log(x)\\\\log^2(x)-3log(x)-4=0\\\\y^2-3y-4=0\\\\\Delta=9+16=5^2\\\\y=4\ or\ y=-1\\\\log(x)=4 \Longrightarrow x=10^4\\\\or\\\\log(x)=-1 \Longrightarrow x=10^{-1}=0.1\\\)

Answer:

B or 5

Step-by-step explanation:

25/5 =5

100/20 = 5

There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes.

A set of potential outcomes from a random experiment is known as a sample space. The sample space is identified by the letter "S." Events are the subset of possible experiment results.The results in a sample area could vary depending on the experiment. Discrete or finite sample spaces are those that have a finite number of outcomes.

The sample space showing all possible outcomes of the two questions is the Cartesian product of the two sets of answer choices, which is:

{(A, A), "(A, B), "(A, C), "(A, D), "(A, E), "(C, A), "(C, B), "(C, C), "(C, D), "(C, E")," "(D, A), "(D, B), "(D, C), "(D, D), "(D, E)}.

There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes. Each outcome is a pair of answers, where the first element of the pair is the answer to the first question and the second element of the pair is the answer to the second question.

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Answer:

_31. I think

Step-by-step explanation:

PLEASE check

After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.

To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.

So the equivalent expression after combining like terms is:

(-1.9 + 1.2) + (5.1 - 3.6)t

Simplifying further, we get:

-0.7 + 1.5t

A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.

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Complete Question

Combine like terms to create an equivalent expression. −

3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.

The probability as a decimal rounded to 4 decimal places is 0.5398.

For a standard normal distribution, find: P(z < 0.1) Express the probability as a decimal rounded to 4 decimal places.

The standard normal distribution has a mean of 0 and a standard deviation of 1.

To find P(z < 0.1), we need to find the area to the left of z = 0.1 on the standard normal distribution curve.

Using a standard normal distribution table or a calculator with a standard normal distribution function, we find that P(z < 0.1) = 0.5398.

Therefore, the probability as a decimal rounded to 4 decimal places is 0.5398.

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Answer:

Undefined

Step-by-step explanation:

Because these points have the same x-value, the line must be going straight up and down. This means that the slope is undefined.

Answer:

The​ odds, in the most simplified​ form, are 7 to 3 against a randomly selected​ 18- to​ 34-year-old having cursed at his or her computer.

Step-by-step explanation:

Given

\(p = 30\%\) ---- proportion that cursed their computer

Required

Odds against the selected

Using the complement formula, the proportion that the selected has not cursed at their computer is:

\(p' = 1 - p\)

\(p' = 1 - 30\%\)

\(p' = 70\%\)

So, the odds against the selected is:

\(Odds = p' : p\)

\(Odds = 70\% : 30\%\)

Divide by 10%

\(Odds = 7: 3\)