A computer manufacturer uses chips from three sources. Chips from sources A,B, and C are defective with probabilities 0001,0 oo5, and 001 , respectively tet PA​P1​ and Pe dentate the probabities that a chip is from source A,B, or C. respectively. 1. If the computer manufacturer uses and equal number of chips from each source. what is the probability that a randomly chosen chip is defective? die, if you do not know what manufacturer it came from] 2. if the computer manufacturer uses and equal number of chips from each source and a randomly chosen chip is found to be detective. find the iconditional pechability. that it came from each source. 3. It the computer manufacturer gets 10.% of its chips from source A.200%of its chips from source B, and 700 of its chips from source C. what as the probability that a randomly chosen chip is defective? 4. If the computer manifacturer gets 304 of its chips from source A. 20% of its chips trom source B, and 70 of at ats chips from source C find the (condional probability that it came from each source.

Simplifying

3m = 5(m + 3) + -3

Reorder the terms:

3m = 5(3 + m) + -3

3m = (3 * 5 + m * 5) + -3

3m = (15 + 5m) + -3

Reorder the terms:

3m = 15 + -3 + 5m

Combine like terms: 15 + -3 = 12

3m = 12 + 5m

Solving

3m = 12 + 5m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-5m' to each side of the equation.

3m + -5m = 12 + 5m + -5m

Combine like terms: 3m + -5m = -2m

-2m = 12 + 5m + -5m

Combine like terms: 5m + -5m = 0

-2m = 12 + 0

-2m = 12

Divide each side by '-2'.

m = -6

Simplifying

m = -6

3m=5(m+3)-3  can be solved to get m=-6

An equation is a mathematical statement that shows that two mathematical expressions are equal. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

3m=5(m+3)-3, This can be solved by following the steps mentioned below:

On solving parenthesis

3m=5m+15-3

3m=5m+12

Transposing like terms together,

3m-5m=12

-2m=12

Dividing both sides by -2

-2m/-2=12/-2

m=-6

So, m=-6 for given equation 3m=5(m+3)-3

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Answer:

128.67 ft

Step-by-step explanation:

Let the height of the tower be x feet.

\( \tan \: 65 \degree = \frac{x}{60} \\ \\ 2.1445069205 = \frac{x}{60} \\ \\ x = 2.1445069205 \times 60 \\ \\ x = 128.670415 \\ \\ x = 128.67 \: ft\)

Answer:

lets say you needed to find the greates comon factor of 20 and 5, you need to find the closest number they both go into, so 20. or if it was 3 and 10 it would be 30 because it is the closest thing they both go into, i hope i am right i am so sorry if i am wrong.

Answer:

2.8

Step-by-step explanation:

A = (0 - 0) / (9.2 - 6.4) = 0 / 2.8 = 0

Answer:

0.28

Step-by-step explanation:

I took the test and said that 2.8 was incorrect and 0.28 was correct.

Answer:

it's A & B

Step-by-step explanation:

got it right

Answer:

y = (1/4)x+1.5

Step-by-step explanation:

Answer:

filedownload.ashx

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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4 + x=15

Step-by-step explanation:

x is unknown

so we are adding 4 and x to equal 15

Leon-Garcia) Let Y=cos(X), where X is uniformly distributed in the interval (0,2π]. Therefore, we have E(Y) = 0 in both ways.

Let Y = cos(X), where X is uniformly distributed in the interval (0, 2π]. Find the expression of p(Y) and sketch it carefully.

The probability density function (PDF) of a function, f(x) is defined as follows:\($$p(Y) = \frac{d(F(Y))}{d(Y)}$$\)

where F(y) is the cumulative distribution function (CDF) of Y, then we have to compute the CDF first.

\($$F_Y(y) = P(Y≤y)$$$$= P(\cos(X)≤y)$$$$= P(X\in \left[0, \arccos(y)\right]\cup\left[2\pi - \arccos(y), 2\pi\right])$$$$= \frac{1}{2\pi}\left(2\arccos(y)\right)$$$$= \frac{1}{\pi}\arccos(y)$$\)

The CDF of Y is given as follows:

Hence, the PDF of Y can be obtained by differentiating the CDF with

\(:$$p(Y) = \frac{d(F(Y))}{d(Y)}$$$$= -\frac{1}{\pi\sqrt{1-y^2}},\quad y\in[-1, 1]$$\)

respect to Y. Therefore, we have

The graph of p(Y) looks like the following:

For the random variable Y in problem 2, determine E{Y} in two ways:From p(Y)We can use symmetry to determine the expectation of Y as follows:\($$E(Y) = \int_{-1}^{1} yp(Y)dy$$$$= 0$$\)

Using the fundamental theorem of expectation

By the fundamental theorem of expectation, we can determine the expectation of Y as follows:

\($$E(Y) = E(\cos(X))$$$$= \int_{0}^{2\pi}\cos(x)p(x)dx$$$$= \int_{0}^{2\pi}\cos(x)\cdot\frac{1}{2\pi}dx$$$$= 0$$\)

Therefore, we have E(Y) = 0 in both ways.

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To find the value of P(A and B), we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B). By solving we get the value of P(A and B), rounded to the nearest thousandth, as 0.328.

We know that P(A) = 0.67, P(B) = 0.4, and P(A or B) = 0.742. Substituting these values into the formula, we get:

0.742 = 0.67 + 0.4 - P(A and B)

Simplifying and solving for P(A and B), we get:

P(A and B) = 0.67 + 0.4 - 0.742

P(A and B) = 0.328

Rounding to the nearest thousandth, we get:

P(A and B) = 0.328

Therefore, the value of P(A and B), rounded to the nearest thousandth, is 0.328.

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Prior to performing the clustering analysis, we select the value for k, the statement regarding k-means clustering is accurate and the minimum distance between the clusters should be used.

Data is divided into groups (clusters) using cluster analysis that is relevant, practical, or both. If creating meaningful groups is the goal, the clusters should reflect the data's inherent structure. However, cluster analysis can occasionally merely serve as a valuable starting point for other tasks, including data summarization. In a wide range of disciplines, including biology, statistics, pattern recognition, information retrieval, machine learning, and data mining, cluster analysis has long been crucial, whether for understanding or usefulness. Cluster analysis has been used to solve numerous practical issues.

Hartigan (1975, pp 90-91) provides the following general guideline when determining the number of clusters. When (sum(k$withinss)/sum(kplus1$withinss)-1)*(nrow(x)-k-1) is more than 10, it is justified to add the extra group if k is the result of k-means with k groups and kplus1 is the result with k+1 groups.

As a result, choice B is the appropriate response.

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None of the given options match the calculated value of b)$3122.00. It's possible that there might be an

error

in the calculation or the provided options are incorrect.

To find the value of the account at the end of the fifth year, we can use the formula for

compound interest

:

A = P(1 + r)^t

Where:

A = Ending balance (value of the account)

P =

Principal

(initial deposit)

r = Interest rate

t = Number of years

In this case, the principal (P) is $500, the interest rate (r) is 7.5% (or 0.075 as a decimal), and the number of years (t) is 5.

Using the formula, we can calculate the ending

balance

as follows:

A = 500(1 + 0.075)^5

A = 500(1.075)^5

A = 500(1.41158125)

A ≈ $705.79

Therefore, the value of the account at the end of the fifth year is approximately $705.79.

Now, let's compare this result with the given options:

a. $3,071.92

b. $3,122.00

c. $3,851.77

d. $4,140.65

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Answer:

Y=4

Step-by-step explanation:

Let's solve your equation step-by-step.

2y+29−8y=5

Step 1: Simplify both sides of the equation.

2y+29−8y=5

2y+29+−8y=5

(2y+−8y)+(29)=5(Combine Like Terms)

−6y+29=5

−6y+29=5

Step 2: Subtract 29 from both sides.

−6y+29−29=5−29

−6y=−24

Step 3: Divide both sides by -6.

−6y/-6=-24/-6

y=4

Hope this Helps

Answer:

Symmetric property of congruence

The length of rectangle is 52 cm.

Here,

The length of a rectangle is six more than twice the width.

The perimeter of rectangle = 150 cm

We have to find the length of rectangle.

What is Perimeter of rectangle?

The perimeter of a rectangle is calculated as;

Perimeter of a rectangle = 2 ( length + width )

Now,

Let the width of rectangle = x cm

Then, The length of rectangle = (2x + 6) cm

Since, The perimeter of the rectangle = 150 cm

Hence, The perimeter of the rectangle = 2( length + width)

150 = 2 ( 2x + 6 + x )

75 = 3x + 6

3x + 6 = 75

3x = 75 - 6

3x = 69

x = 23

So, The length of rectangle = (2x + 6) cm = 2*23 + 6 = 52 cm

Therefore, The length of rectangle is 52 cm.

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Answer: 7

Step-by-step explanation:

7+4+(3)^2-5(3)+2=

11+9-15+2=

20-15+2=7

\(\huge\text{Hey there!}\)

\(\mathsf{7 + 4 + f^2 - 5f + 2}\)

\(\mathsf{= 7 + 4 + 3^2 - 5(3) + 2}\)

\(\mathsf{= 7 + 4 + 9 - 15 + 2}\)

\(\mathsf{= 11 + 9 - 15 + 2}\)

\(\mathsf{= 20 - 15 + 2}\)

\(\mathsf{= 5 + 2}\)

\(\mathsf{= 7}\)

\(\huge\textbf{Therefore, your answer should be: }\)

\(\huge\boxed{\mathsf{7}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The theoretical probability of getting two tails is 1/4 = 0.25 = 25%. The experimental probability of getting two tails will change for every experiment.

The theoretical probability of getting two heads is 1/4 = 0.25 = 25%.

The theoretical probability of getting one head and one tail is 2/4 = 0.50 = 50%.

What is experimental probability?

The proportion of outcomes where a specific event occurs to all trials, not in a hypothetical sample space but in a real experiment, is known as the empirical probability, relative frequency, or experimental probability of an event.

Given that two coins flip together. The outcomes of a coin is {H,T}.

The outcomes after flipping of two coins are

{HH, HT, TH, TT}

The total number of outcomes is 4.

The number of outcomes to get two tails is 1.

The probability of getting two tails is 1/4 = 0.25 = 25%.

The number of outcomes to get two heads is 1.

The probability of getting two heads is 1/4 = 0.25 = 25%.

The number of outcomes to get one head and one tail is 2

The probability of getting one head and one tail is 2/4 = 0.50 = 50%.

The theoretical probabilities will change for every experiment.

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Let the width of the rectangle be "w".Then the length of the rectangle is given by "3 cm more than twice the width."Therefore, length (l) = 2w + 3.The area of a rectangle is given by the product of its length and width. Thus we can write an equation for the area of the rectangle.

A = l × w Substituting l and w in terms of each other we get; A = (2w + 3) × w ⇒ 2w² + 3w - 90 = 0This quadratic equation can be factored as (2w + 15)(w - 6) = 0.So the width of the rectangle can be either -15/2 (rejected) or 6 cm. And the length of the rectangle is (2 × 6) + 3 = 15 cm. The dimensions of the rectangle are 6 cm by 15 cm. The length of a rectangle is 3 cm more than twice the width. If the area of the rectangle is 90 square cm, find the dimensions of the rectangle.

In summary, data markers are used in charts to represent individual data points. They are often used in combination with other chart elements, such as axes, gridlines, and legends, to help viewers understand the data being presented. The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.  

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The volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane is V = xyz, where x, y, and z are the lengths of the sides of the rectangular box.

To find the largest volume, we need to maximize x, y, and z. Since we have three faces in the coordinate planes, one vertex will be at the origin (0, 0, 0). The other two vertices will lie on the coordinate axes.

Let's assume the vertex on the x-axis is (x, 0, 0), and the vertex on the y-axis is (0, y, 0). The third vertex on the z-axis will be (0, 0, z). Since the box is in the first octant, all the coordinates must be positive.

To maximize the volume, we need to find the maximum values for x, y, and z within the constraints. The maximum values occur when the box touches the coordinate planes. Therefore, the maximum values are x = y = z.

Substituting these values into the volume formula, we get V = xyz = x³. Therefore, the volume of the largest rectangular box is V = x³.

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What is the maximum volume of a rectangular box situated in the first octant, with three of its faces lying on the coordinate planes, and one of its vertices located in the plane?

The standard deviation of the number of free throws that Chauncey Billups will make in tonight's game is approximately 0.726.

To calculate the standard deviation of free throws that Chauncey Billups will make in tonight's game, we need to use the following formula:

Standard Deviation (σ) = √(n * p * (1 - p))

where n is the number of trials (free throws) and p is the probability of success (making a free throw).

In this case, n = 6 (as Billups shoots six free throws) and p = 0.894 (as his career free-throw percentage is 89.4%).

Substituting the values into the formula, we get:

Standard Deviation (σ) = √(6 * 0.894 * (1 - 0.894))

Calculating this expression, the standard deviation is approximately 0.726.

Therefore, the standard deviation of free throws that Chauncey Billups will make in tonight's game is approximately 0.726.

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Answer:

A rhombus and a square since a square is also a rhombus.

The function’s equation written in factored form and in vertex form are respectively;

f(x) = 2x(x - 4)

f(x) = 2(x - 2)² - 8

The factored form of a quadratic function is;

f(x) = a(x - p)(x - q)

where:

p and q are the x-intercepts

a is a constant

Now, we are given x-intercepts as; (0, 0) and (4, 0)

Thus;

f(x) = a(x - 0)(x - 4)

f(x) = ax(x - 4)

To find a, substitute the given vertex (2, -8) into the equation and solve for a:

2a(2 - 4) = -8

-4a = -8

a = 2

Thus;

f(x) = 2x(x - 4)

The vertex form of a quadratic equation is;

f(x) = a(x - h)² + k

where:

(h, k) is the vertex

a is constant

Since vertex is (2, -8), then we have;

f(x) = a(x - 2)² - 8

Put the coordinate (0, 0) to find a;

0 = a(0 - 2)² - 8

4a = 8

a = 2

Thus;

f(x) = 2(x - 2)² - 8

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Answer:

the answer is 60 inches

Step-by-step explanation:

you have to subtract the perimeter and the numbers that are shown after you add them

238-118= 120 then you have to divide that in half wich =60.

so (A)= to 60 inches.

Answer:

D: 7c + 9t

Step-by-step explanation:

I assume c = car and t = truck

Since it costs 7 dollards PER car and 9 dollars PER truck, you would use 7c+9c as the equation.

$20 more money the band members need to raise.

What is the total amount?

Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16. A car that has been totaled in an accident is irreparably damaged.

Here, we have

Given: Band members are selling magazines to raise $150 for a school dance.

= 150 - (25 + 45 + 10 +25 + 15 + 10)

= 150 - 130

= 20

Hence, $20 more money the band members need to raise.

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Answer:

Step-by-step explanation:

\(V=\frac{4\pi r^3}{3}\)