a pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. this plan randomly selects and tests 31 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. what is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 8% rate of defects?

Answer:

The second one

Step-by-step explanation:

The first graphic would be correct if the connector was "AND" instead of "OR"

"AND" --> Both conditions must ALWAYS be fulfilled

"OR" ---> It's only necessary that one of the conditions is fulfilled

Answer: x= -1

Step-by-step explanation:

5(x+2)= 3(x+3)-1

5x + 10 = 3x + 9 -1

5x + 10 = 3x + 8

2x = -2

x= -1

A sample of at least 68 bulbs is needed to be 96% confident that our sample mean will be within 10 hours of the true mean.

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.96}{2} =0.02[/tex]

Now, we have to find z in the Z table as such z has a p value of [tex]1-\alpha[/tex] .

So it is z with a p value of 1-0.02 = 0.98, so z= 2.055

Now, find the margin M as such

[tex]M = Z*\frac{\sigma }{\sqrt{n} }[/tex]

In which [tex]\sigma[/tex]  is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

[tex]\sigma = 40 , M = 10\\\\M = Z*\frac{\sigma}{\sqrt{n} } \\\\10 = 2.055*\frac{40}{\sqrt{n} } \\\\\sqrt{n} = 8.22\\\\n= 67.6[/tex]

Hence , a sample of at least 68 bulbs is needed to be 96% confident that our sample mean will be within 10 hours of the true mean.

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The tree statements of the circle are

1) The radius of the circle is 3 units.

2) The center of the circle lies on x-axis.

3) The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

What is center of a circle?

A circle's center is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

Given equation of circle is

x² + y² - 2x - 8 =0

x² - 2x + 1 - 1 + y² - 8 =0

(x - 1)² - 1 + y² - 8 =0

(x - 1)² + y² - 9 =0

(x - 1)² + y² = 3²

Compare the equation above equation with (x - h)² + (y - k)² = r²:

h = 1, k=0, r=0

The radius of the circle is 3 units. The center of the circle is (1,0) which lies on the x-axis.

Rewrite the equation of circle x² + y² = 9:

x² + y² = 3²

The radius of the circle is 3 units:

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Answer:

B

Step-by-step explanation:

Answer:

The answer is B(3, -1)

Step-by-step explanation:
I did this before.

B. 5/3 is the evaluation of [tex]log_{8} 32[/tex] using the base conversion method.

using the base conversion - [tex]log_{a} p= \frac{log_{b} p}{log_{b} a}[/tex]

convert the base 8 into the base 2 algorithm

[tex]\frac{log_{2} 32}{log_{2} 8}[/tex]

since 32=[tex]2^{5}[/tex]

then, [tex]log_{2}(32)=5[/tex]

similarly, since [tex]8=2^{3}[/tex]

then, [tex]log_{2} (8)=3[/tex]

this makes our expression 5/3.

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Answer:

5/3

Step-by-step explanation:

The change of base formula says logb b a = [logc c a] / [logc c b].

To evaluate log8 32, you need to use the following equation: log8 32 = x, where x is the unknown value.

This can be rewritten as 8^x = 32.

Solving for x gives x = 5/3.

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1. Move 12 to the right side.

2. Divide both sides by -7.

3. Simplify.

4. Square both sides.

5. Solve [tex]x-5=\frac{64}{49}[/tex]

Hence, our solution.

_______________________

Hope this helps!

The value of x in the first question is 11 and the value of y is 3.

The value of x in the second question is 4 and the value of y is 4.

The value of x in the third question is -5 23/26 and the value of y is -1/13

2x + y = 25 equation 1

2x - 3y = 13 equation 2

The first step is to subtract equation 2 from equation 1:

-4y = -12

Divide both sides of the equation by -4

y = -12 / -4

y = 3

Substitute for y in equation 1:

2x + 3 = 25

2x = 25 - 3

2x = 22

x = 22 / 2

x = 11

-3x + 4y = -18 equation 1

x = -2y - 4

x + 2y = -4 equation 2

Multiply equation 2 by 2

2x + 4y = -8 equation 3

Subtract equation 3 from equation 2:

-5x = -20

Divide both sides of the equation by -5

x = -20 / -5

x = 4

Substitute for x in equation 2:

4 + 2y = -4

4 + 4 = 2y

8 = 2y

y = 8/2

y = 4

-2x + 3y = -15 equation 1

3x + 2y = -23 equation 2

Multiply equation 1 by 3 and equation 2 by 2

-6x + 9y = -45 equation 3

6x + 4y = -46 equation 4

Add equation 3 and equation4 together

13y = -1

y = -1/13

Substitute for y in equation 1:

-2x + 3(-1/13) = -15

-2x  -3/13 = -15

-2x = -15 + 3/13

-2x = 11 10/13

x = 11 10/13 ÷ -2

x = 153/13 x -1/2

x = -153/26

x =-5 23/26

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They both make 3 baskets. The number of points Norma and vincent have after first time out are 6 points and 9 points respectively

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time.

If the number of basket is x, and the total point is y, thus

for Norma, the total point = 19+2x=y equation 1

for vincent, the total point = 16+3x= y equation 2

subtract equation 1 from 2

16-19+3x-2x = 0

-3+x = 0

x= 3

substitute 3 for x in equation 1

19+2(3)= y

25= y

y = 25

therefore they both made 3 basket after the first time out and Norma make extra 6 points and Vincent made extra 9 points

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Answer:

Step-by-step explanation:

23

Answer:

Step-by-step explanation:

2^x + 7 = 3

2^x = -4          this cannot be solved

Maybe you meant

2^(x+7) = 3    

LOG both sides to get

 (x+7)  LOG 2 =  LOG 3

x+7 = log3/log2      subtract 7 from both sides to get

x = - 5.415

Answer:  D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

We are trying to find out how this situation leads to 30 miles for d.

We know he has 14 miles to the gas station, and he has gone an unknown amount in 2 hours, t.

30=Xt+14

Solving for X: 30=X(2)+14

X=8

Answer:

2700

Step-by-step explanation:

1st method:

let x be the number of all workers in the company

then, the number of female workers will be x-0.85x = 0.15x

0.15x = 405

x = 405/0.15 = 2700

2nd method

we know that the 405 people who aren't men make 15% (100%-85%) of the whole number of workers, by using proportions:

15% - 405

100% - X

X = (100% * 405 )/15% = 2700

Answer:

Step-by-step explanation:

2,637

The compass needle always points north because it is magnetic north pole.

Earth has magnetic field due to magnetic elements present in Earth's core in molten form. They are assumed to be in the form of giant bar to ease the calculations concerning magnetic field and polarity. The assumptions are geographic south pole harbours magnetic north pole and vice versa for the opposite pole.

So, we know that like poles attract each other and unlike poles repel each other. The north end of magnetic needle will point towards the magnetic south pole which is geographic north pole. Thus, we see compass needle directed to North pole.

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Answer:

there should be 1 customer waiting in line at the ticket outlet.

Step-by-step explanation:

To calculate the expected number of customers in the queue, we can use the following formula:

Expected number of customers = Arrival rate * Average waiting time

In this case, the arrival rate is 10 customers per hour and the average waiting time is 6 minutes. Converting the waiting time to hours, we get:

Expected number of customers = 10 customers/hour * (6 minutes / 60 minutes/hour) = 1 customer

So the expected number of customers in the queue is 1. This means that on average, there should be 1 customer waiting in line at the ticket outlet.

D. At the end of 20 years, the policy's cash value will equal $100,000 is INCORRECT regarding a $100,000 20-year level term policy.

A $100,000 20-year level term policy is a type of life insurance policy that provides a fixed amount of coverage for a set period of time. The premiums for this policy will remain level for the entire 20 years and, if the insured dies during that time, the beneficiary will receive the full $100,000. However, the policy will expire at the end of the 20-year period and the cash value will not equal the $100,000. As a result, it is untrue to say that $100,000 will be the policy's cash value after 20 years.

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The number of nickels is 173.

The number of dimes is 258.

The number of quarters is 69.

The coins are worth $51.7.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

For every 2 nickles, there are 3 dimes.

For every 2 dimes, there are 5 quarters.

This means,

Let,

Nickles = N

Dimes = D

Quarters = Q

2N = 3D

N = 3D/2

2D = 5Q

Q = 2D/5

Now,

N + D + Q = 500

3D/2 + D + 2D/5 = 500

15D + 10D + 4D = 500 x 10

29D = 5000

D = 5000/29

D = 173

Now,

N = 3 x 172 / 2

N = 3 x 86

N = 258

Q = 2 x 172 / 5

Q = 69

Now,

Total coins = 500

173 + 258 + 69 = 500

Now,

20 nickels = $1

10 dimes = $1

4 quarters = $1

So,

173 nickels = $1 x 173 / 20 = $8.65

258 dimes = $1 x 258 / 10 = $25.8

69 quarters = $1 x 69 / 4 = $17.25

The total worth.

= $8.65 + $25.8 + $17.25

= $51.7

Thus,

The number of nickels is 173.

The number of dimes is 258.

The number of quarters is 69.

The coins are worth $51.7.

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Answer:

Step-by-step explanation:

4/14

Divided both by 2

2/7

Answer: 29%

Step-by-step explanation:

To find the percent of decrease, you need to first calculate the difference between the original cost and the current cost of the TV. You can do this by subtracting the current cost from the original cost: $700 - $500 = $200.

Next, divide the difference by the original cost and multiply by 100% to express the result as a percentage: ($200 / $700) * 100% = 28.57%.

Rounding this result to the nearest whole percent, we get that the percent of decrease is 29%.

Rounded to the nearest whole percent, the answer is 29%.

Based on the provided table and equation when the class size is 1, gymnastics is less expensive, and when the class size is 3 or 4, ice skating is less expensive.

Given that y denotes the price and x denotes the number of classes, the gymnastics programmed is completed by the table, whereas the ice skating program is concluded by the equation y = 18x + 20.

Find the cost of the ice skating programmed for classes 1, 2, 3, and 4 as the table already lists the price for each specified number of gymnastics courses.

For 1 class, substitute x = 1 into y = 18x + 20:

y = 18(1) + 20

y = $38

For 2 class, substitute x = 2 into y = 18x + 20:

y = 18(2) + 20

y = $56

For 3 class, substitute x = 3 into y = 18x + 20:

y = 18(3) + 20

y = $74

For 4 class, substitute x = 4 into the equation y = 18x + 20:

y = 18(4) + 20

y = $92

We may infer from the foregoing that gymnastics is less expensive when the number of lessons is 1. When there are three or four courses, ice skating is less expensive.

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Answer:

y = 1.50x

the graph is shown below

Step-by-step explanation:

We are told that y is equal to the total cost of the amount of grapefruit purchased. The amount of grapefruit is represented by x. The price of $1.50 would be our rate or slope for the graph.

With this information, we can create the expression:

y = 1.50x

To find the graph you need, either type it in a graphing calculator, or put in your choice of "x" values to find different coordinate that would be on the graph.

For example:

y = 1.50(2)

y = 3

Coordinate 1 would be (2,3)

y = 1.50(0)

y = 0

Coordinate 2 would be (0,0)

With these two coordinates you can draw a line and match your graph with the right one you need for the answer.

From the given information in question, we can sat that, The  regular polyhedron have 30 edges.

A polygon that is based on the solid in the three dimensions is known as  a polyhedron. It has flat faces, straight edges and corners. A polyhedron is something like a cube, prism, or pyramid. Cones, spheres, and cylinders do not have polygonal sides, hence they are not polyhedra. Polyhedron is also the name of the polyhedron's plural form. They are classified as prisms, pyramids, and regular polyhedra. Polyhedra include, for instance, cubes (regular polyhedrons), square prisms, triangular prisms, square pyramids, and square pyramids. Consider the diagram below displaying different sorts of polyhedra.

chris discovered that the centers of the faces of a regular icosahedron are also the vertices of another regular polyhedron and he  regular polyhedron have 30 edges.

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Classification model

What is Classification model?

A subset of supervised machine learning is classification models. A categorization model takes in some input and produces an output that categorises the input. For instance, after reading an email, a model may binary identify it as spam or not.

This is a classification model. This is a categorization model because we are categorising people here according to their age and location.

A categorization model takes in some input and produces an output that categorises the input.

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Answer:

n = -21

Step-by-step explanation:

Five More Than One Third Of A Number Is Negative 2 What Is The Number?

1/3n + 5 = -2

subtract 5 from both sides:

1/3n + 5 - 5 = -2 - 5

1/3n = -7

multiply both sides by 3:

3(1/3n) = 3(-7)

n = -21

-x2+3x-3=0 is the equation that  has the sum of its roots as 3.

A quadratic equation's roots are equal to the second term's coefficient negated, divided by the leading coefficient. The constant term (the third term), divided by the leading coefficient, is equivalent to the product of the roots of a quadratic equation.

Sum of roots= -b/a

Sum of root is defined as:

Sum of root = -b/a

Consider option B -x^2+3x-3

a=-1 , b=3

Sum of root= - 3/(-1)=3

So B is the correct option of the following question.

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All veterinarians that responded to the questionnaire were included in the sample.

Complete Question : Veterinarians often use non-steroidal anti-inflammatory drugs to treat lameness in horses. A group of veterinary researchers wanted to find out how widespread the practice was in the United States. They obtained a list of all veterinarians treating large animals, including horses. They sent questionnaires to all the veterinarians on the list. Such a survey is called a census. The response rate was 40%. Which of the following statement is correct?

a. The sample consisted of all veterinarians on the list and therefore equaled the target population.

b. The sample consisted of all veterinarians who returned the questionnaire.

c. The sample consisted of all veterinarians who treat horses with NSAIDs.

d. None of the choices are correct.

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The function represented in graph is f(x) = 4cos(x) - 1. We can find it by putting given points in following options and checking whether it is matching to graph or not  (hit and trial method)

What are trigonometric functions?

6 trigonometric functions are Sine, Cosine, Tangent, Cotangent, Secant, Cosecant .

Cosine ranges from (-1 to 1) for x.

Given points are 0, pi, and 2pi

For 0 , cos(0)= 1

For pi, cos(pi) = -1

For 2pi, cos(2pi) = 1

In f(x) = 4cos(x)-1

For x = 0,

f(0)=4cos(0)-1

3 = 3 i.e. correct.

For x = pi

f(pi) = 4cos(pi)-1

-5 = -5 i.e.  correct

also correct for 2pi.

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There are 144 ways to place 4 pairs of shoes per shelf in the store.

What is a permutation?

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.

This question can be solved using basic logic . One can also solve this by using permutations.
Since 12 different models arrive and 4 pairs of shoes should be placed per shelf , the answer can be sort by

4!×3! = [ 4×3×2×1] × [3×2×1] = 24×6 = 144.

( Because 4 pairs of shoes can be interchanged among themselves , therefore 4! , and 12/4=3 , so the 12 pair of shoes can be organised amongst 3 shelves , and hence 3!)
Therefore , none of the options is correct. The correct answer is 144 ways.
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A valid conclusion is that;

Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.

An inference is defined as a conclusion that is reached based on certain pieces of evidence

In this sample research, we can see that randomization and replication conditions  are met. This s because the balls are randomly selected and as such, the distance of the new ball can be compared to the distances of the original ball.

Therefore, a valid conclusion is written as;

Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.

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