5.10; 5.14 Nonconforming chips. A supplier sends chips to an automobile manufacturer. 5% of them fail. The failure of one chip is independent of the failure of another chip. Each car uses 12 chips. What is the probability that all 12 chips will work properly (that is, not fail). 1. 0.4596 2. 0.5404 3. 0.0500 4. 0.5000

The error in the set of instructions can be resolved by rearranging the steps so they are in sequential order. The Option A is correct.

The most effective solution would be to rearrange the steps so they follow a logical order.

For example, the steps could be rearranged as follows:

Therefore, by doing this would make the instructions clearer and easier to follow. The Option A is correct.

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Given:

The sequence is

4, 16, ___, 256, 1024

To find:

The missing number in the given sequence.

Solution:

We have,

4, 16, ___, 256, 1024

Here,

\(\dfrac{16}{4}=4\)

\(\dfrac{1024}{256}=4\)

The given sequence has common ratio 4. So, the given sequence is a geometric sequence.

To get the missing value, we need to multiply 16 and the common ratio.

\(16\times 4=64\)

Therefore, the missing value is 64.

A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

a rectangle's length is 5 inches greater than its width.

if the perimeter of the rectangle is 42 inches

let, width = x

then, length = x+5

so, perimeter= 2(x+5 +x)

                      = 4x+10

ATQ, 4x+10 = 42

solving we get,

x=8

the length = 13

Hence, A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

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Answer:

There will be 12 full teams and 7 extra people.

Step-by-step explanation:

Please mark me Brainliest

Answer:

The value of a mathematical expression is the result of the computation described by this expression when the variables and constants in it are assigned values. The value of a function, given the value(s) assigned to its argument(s), is the value assumed by the function for these argument values.

Step-by-step explanation:

Yes, the value of an expression does mean the answer.

The value of an expression is a variable that is assigned to a number.

Lets say we have 3n + 2 = 10.

"n" is the variable and we need to find the value of it.

In that kind of question, that is the answer for an expression.

But there are cases where we have the value and we need to solve with it. Then, the value would not be the answer.

Best of Luck!

1. The chance that all 23 people have different birthdays is about 0.493 or 49.3%.

2. The chance that two people in the room have the same birthday is about 0.507 or 50.7%.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence.

(1) The probability that all 23 people have different birthdays can be calculated as follows:

For the first person, there are 365 possible birthdays to choose from.

For the second person, there are 364 possible birthdays left to choose from (since one has already been taken).

For the third person, there are 363 possible birthdays left to choose from, and so on.

So the probability that all 23 people have different birthdays is:

P(all different) = 365/365 * 364/365 * 363/365 * ... * 344/365

                 = 0.493

Therefore, the chance that all 23 people have different birthdays is about 0.493 or 49.3%.

(2) The probability that two people in the room have the same birthday can be calculated as follows:

For the first person, there are 365 possible birthdays to choose from.

For the second person, there is a 1/365 chance that they have the same birthday as the first person.

For the third person, there is a 2/365 chance that they have the same birthday as one of the first two people, and so on.

So the probability that at least two people in the room have the same birthday is:

P(at least 2 people share a birthday) = 1 - P(all different)

                                     = 1 - 0.493

                                     = 0.507

Therefore, the chance that two people in the room have the same birthday is about 0.507 or 50.7%.

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Answer:

Step-by-step explanation:

4p(p−7q)

=(4p)(p+−7q)

=(4p)(p)+(4p)(−7q)

=4p squared −28pq

Answer:  22% of the pages are filled up

Step-by-step explanation: 900/9= 100 78% of 100 is 78

22+78=100 therefore reaching 100 percent. since 78% is empty that means 22% is being used.

The probability that two random people being born on the same day is thus 1/365 or about 0.3%

We apply our probability model above to the task at hand.

First, we suppose Person 1. This person is born on a certain date of the year.

Since this is a random person, we can fix this person's birthday to a specific date (a number between 1 and 365) without loss of generality for the problem.

Let's say this person is born on 10. (i.e. January 10th)

Now, we take Person 2. In order to achieve the event that Person 2 is born on the same date as Person 1,

we need them to be born on 10. In other words, we seek the probability of Person 2 being born on 10.

Based on our model, we have that this probability is 1/365.

The probability that two random people being born on the same day is thus 1/365 or about 0.3%

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Answer:

Original: $1,554.31

You Pay: $1088.02

You Save: $466.29

Answer:

y= -5x + 6

Step-by-step explanation:

Answer:

Equation of line in Slope intercept form

\(y=-5x+6\)

Equation of line in Point-slope form

\(y-1=\frac{-4-1}{2-1} (x-1)\)

Step-by-step explanation:

Equation of line

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)   ----------- (1)

Here

\((x_1. y_1)=(1, 1) \ \ \ and \ \ \ (x_2, y_2)=(2, -4)\)

Substituting values in equation (1)

\(y-1=\frac{-4-1}{2-1} (x-1)\)

\(y-1=-5 (x-1)\)     (This is equation line in point-slope form)

Simplifying it further

\(y=-5x+5+1\)

\(y=-5x+6\)  (This is equation of line in slope-intercept form)

Answer: 17.75 deliveries made per hour

Step-by-step explanation:

71/4 = how many deliveries made per hour.

Step-by-step explanation:

r = -8/4 = -2

t1 = 4

the general formula :

tn = t1. r^(n-1)

tn = 4. (-2)^(n-1)

t12 = 4. (-2) ^(12-1)

= 4. (-2)^11

= 4. (-2,048)

= - 8,192

The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

a) 0.bar(36) expressed as a fraction in simplest form is 4/11. b) 0.3bar(6) expressed as a fraction in simplest form is 0.4. c) 0.36 expressed as a fraction in simplest form is 9/25.

(a)  To express 0.bar(36) as a fraction in simplest form, we can use the concept of repeating decimals. Let x = 0.bar(36). Multiplying x by 100 gives:

100x = 36.bar(36)

Subtracting the original equation from the multiplied equation eliminates the repeating part:

100x - x = 36.bar(36) - 0.bar(36)

99x = 36

x = 36/99

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 9:

x = (36/9) / (99/9) = 4/11

Therefore, 0.bar(36) expressed as a fraction in simplest form is 4/11.

(b) o express 0.3bar(6) as a fraction in simplest form, let's call it x. Multiplying x by 10 gives:

10x = 3.6bar(6)

Subtracting the original equation from the multiplied equation eliminates the repeating part:

10x - x = 3.6bar(6) - 0.3bar(6)

9x = 3.6

x = 3.6/9

x = 0.4

Therefore, 0.3bar(6) expressed as a fraction in simplest form is 0.4.

(c) To express 0.36 as a fraction in simplest form, we can write it as 36/100 and simplify it. Both the numerator and denominator have a common factor of 4, so we can divide both by 4:

36/100 = 9/25

Therefore, 0.36 expressed as a fraction in simplest form is 9/25.

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Answer:

54

Step-by-step explanation:

=9*36=324

=324/6=54

=54Ans

If the initial population is 3800. The population of cockroaches after 3 years will be 1603.

Consider the function:

y = a(1 ± r)ⁿ

where n is the number of times growth/decay, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, there is exponential growth happening by r fraction or r%.

If there is a minus sign, there is exponential decay happening by r fraction or r%.

If the population is currently 3,800 cockroaches.

The expression is given as

y = 3800(0.75)ⁿ

The population of cockroaches after 3 years will be

y = 3800(0.75)³

y = 3800 x 0.4218

y = 1603.125

y ≅ 1603

Hence, the population of cockroaches after 3 years will be 1603.

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The complete question is:

Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has declined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.

Morrison Inc. is using an R-Chart to monitor the variability of their 44.00-pound steel bars. They have taken 18 samples of 7 steel bars each.

Step 1: The Center Line of the control chart is the average of the sample means. Therefore, the Center Line for this R-chart would be the average of the average weights of the 7 steel bars over the 18 successive time periods. The Center Line can be calculated as follows:
Center Line = (44.04 + 43.96 + 44.01 + 44.02 + 43.95 + 44 + 44.04)/7 = 44.00

Step 2: The Upper Control Limit (UCL) can be calculated as follows:
UCL = Center Line + A2*R-bar
Where R-bar is the average range of the 18 samples and A2 is a constant based on the sample size (n = 7) and the desired level of significance (alpha = 0.05). From the table of constants, A2 = 0.482. The average range can be calculated as follows:
R-bar = (0.09 + 0.17)/2 = 0.13
Therefore, the UCL is:
UCL = 44.00 + 0.482*0.13 = 44.06

Step 3: The Lower Control Limit (LCL) can be calculated as follows:
LCL = Center Line - A2*R-bar
Therefore, the LCL is:
LCL = 44.00 - 0.482*0.13 = 43.94

Step 4: Using the sample data of the first time period, we can calculate the sample mean and sample range as follows:
Sample Mean = (44.04 + 43.96 + 44.01 + 44.02 + 43.95 + 44 + 44.04)/7 = 44.00
Sample Range = 44.04 - 43.95 = 0.09
The sample mean is within the control limits, so the process is in control.

Step 5: Using the sample data of the second time period, we can calculate the sample mean and sample range as follows:
Sample Mean = (44.04 + 43.96 + 44.01 + 44.02 + 43.95 + 44 + 44.04)/7 = 44.00
Sample Range = 44.04 - 43.95 = 0.09
The sample mean is within the control limits, so the process is in control.

Step 6: Using the sample data of the third time period, we can calculate the sample mean and sample range as follows:
Sample Mean = (43.99 + 43.98 + 44.04 + 44.13 + 43.96 + 44.04 + 43.98)/7 = 44.00
Sample Range = 44.13 - 43.96 = 0.17
The sample mean is within the control limits, but the sample range is above the UCL. Therefore, the process is out of control.

Step 7: The probability of making a Type I Error is the level of significance (alpha = 0.05) which represents the probability of rejecting the null hypothesis (process is in control) when it is actually true. Therefore, the probability of making a Type I Error is 0.05 or 5%. The probability that the process is really in control can be calculated using the concept of process capability indices, but it cannot be determined from the information given in this question.
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Answer: 75.7 or 76 miles per hour

Step-by-step explanation: 20 mins to hour is 0.33 hrs so 25/0.33 =75.7

Answer:

25/20=x/60 x=70

Step-by-step explanation:

If you convert 25/20 to be equal to x/60 then x would be 75.

The function f(theta) is:

f(theta) = sin(theta) + cos(theta) + 3

To find the function f, we will integrate the given second derivative with respect to theta twice, and use the initial conditions to determine the constants of integration.

First, integrating f ''(theta) = sin(theta) + cos(theta) with respect to theta gives:

f '(theta) = -cos(theta) + sin(theta) + C1

where C1 is a constant of integration.

Next, integrating f '(theta) = -cos(theta) + sin(theta) + C1 with respect to theta gives:

f(theta) = sin(theta) + cos(theta) + C1*theta + C2

where C2 is another constant of integration.

To determine the values of C1 and C2, we use the initial conditions:

f(0) = 4 gives us:

4 = sin(0) + cos(0) + C1*0 + C2

4 = 1 + C2

so C2 = 3.

f '(0) = 1 gives us:

1 = -cos(0) + sin(0) + C1

1 = 1 + C1

so C1 = 0.

Therefore, the function f(theta) is:

f(theta) = sin(theta) + cos(theta) + 3

Note that there are other ways to express this function, such as using trigonometric identities to simplify the expression, but this is the most general form.

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The city at 1st position with the largest population, have a population of 64 million.

Given, the population of the 4th largest city in country a is 8 million.

we have to find the population of the largest city in that country and

we have options : 16 million, 24 million, 32 million and 64 million

As, the given city with 8 million population is at 4th position in the country.

then, the city at 3rd position will be having a population of 2×8 million i.e. 16 million

similarly, the city at 2nd position will be having a population of 2×16 million i.e. 32 million

and the city at 1st position will be having a population of 2×32 million i.e. 64 million.

So, the city at 1st position have a population of 64 million.

Hence, the city at 1st position have a population of 64 million.

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Answer:

\(\Huge \boxed{300 \° }\)

Step-by-step explanation:

A revolution is 360 degrees.

5/6 of a revolution is 5/6 of 360 degrees.

5/6 × 360 = 300

Answer:

x=23

Step-by-step explanation:

You simplify both sides of the equation, then isolate the variable.

Answer:

x=23

Step-by-step explanation:

Answer:

positive

Step-by-step explanation:

negative and negative = positive

positive and positive = positive

positive and negative  = negative

negative and positive = negative

hope u got what u needed

Answer:

The correct answer is positive

Step-by-step explanation:

Negitive x Negitive = Positive

Positive x Positive = Positive

Negitive x Postive = Negitive

Positive x Negitive = Negitive

This should help you for next time you have a question like this.

I hope this helps.

Option C and Option D has infinite number of solutions

Option A: -2(x - 2) + 3x = x - 4

Simplify the equation;

-2x + 4 + 3x = x - 4

x + 4 = x - 4

LHS ≠ RHS

Thus, equation does not have infinite solutions.

Option B: 2x + 4(x - 1) = 3(2x + 1) - 2(x - 1)

Simplify the equation;

2x + 4x - 4 = 6x + 3 - 2x + 2

6x - 4 = 4x + 5

6x - 4x = 5 + 4

2x = 9

Obtained equation has only one solution.

Thus, equation does not have infinite solutions.

Option C: 3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4

Simplify the equation;

3x + 2x - 4 + 6 = 4x + 6 + x - 4

5x + 2 = 5x + 2

LHS =RHS

Thus, this equation has infinite solutions.

Option D: 4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)

Simplify the equation;

4x + 8 + x + 1 = 2x - 3 + 3x + 12

5x + 9 = 5x + 9

LHS =RHS

Thus, this equation has infinite solutions.

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The correct question is-

Which equations have an infinite number of solutions?

Select all that apply.

A -2(x - 2) + 3x = x - 4

B 2x + 4(x - 1) = 3(2x + 1) - 2(x - 1)

C 3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4

D 4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)

The orthogonal projection of vector →u onto vector →v is approximately [1.786, -3.572, 5.358].

In mathematics, a vector is a mathematical object that represents both magnitude and direction. Vectors are commonly used in various fields, including physics, engineering, and computer science, to describe physical quantities such as force, velocity, displacement, and more.

Vectors can exist in different dimensions, such as one-dimensional (scalar), two-dimensional, three-dimensional, and even higher dimensions. In two-dimensional space, vectors have two components, usually denoted as (x, y), while in three-dimensional space, vectors have three components, often denoted as (x, y, z).

To compute the orthogonal projection of vector →u onto vector →v, we can use the formula:

proj→v →u = ((→u ⋅ →v) / (→v ⋅ →v)) * →v

where →u ⋅ →v represents the dot product of →u and →v.

Given the vectors →u = [9, -5, 2] and →v = [1, -2, 3], let's compute the orthogonal projection:

Compute the dot product →u ⋅ →v:

→u ⋅ →v = (9 * 1) + (-5 * -2) + (2 * 3) = 9 + 10 + 6 = 25

Compute the dot product →v ⋅ →v:

→v ⋅ →v = (1 * 1) + (-2 * -2) + (3 * 3) = 1 + 4 + 9 = 14

Compute the scalar factor:

((→u ⋅ →v) / (→v ⋅ →v)) = 25 / 14 ≈ 1.786

Compute the projection vector:

proj→v →u = ((→u ⋅ →v) / (→v ⋅ →v)) * →v

proj→v →u = 1.786 * [1, -2, 3] = [1.786, -3.572, 5.358]

Therefore, the orthogonal projection of vector →u onto vector →v is approximately [1.786, -3.572, 5.358].

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

-n-10

Step-by-step explanation:

(n-8)-(2n+2)

n-8-(2n+2)

n-8-2n-2

-n-8-2

-n-10