The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 circuits is tested, revealing 14 defectives. Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. Round the answers to 4 decimal places.

Answer:

36.888

Step-by-step explanation:

you would just add them all up. 11.238 + 9.45 + 16.2 then you'll get your answer which is 36.888

Answer:

58.3%

Step-by-step explanation:

125/300 people decided to buy their product but 175 didn't to get the answer for the problem you just divide 175 by 300 which gets you 0.58333... in which you move the decimal place two to the right which gives you 58.3 then that is your percent 55.3%

Answer: There is 58.3% of students that are not convinced.

Step-by-step explanation:

Since we have given that

Number of schools = 300

Number of schools that are convinced to sell their products = 125

Number of schools that are not convinced to sell their products = 300 - 125 = 175

Percentage of schools that are not convinced is given by

(175 ÷ 300) × 100

= 175 ÷ 3

= 58.3 %

Hence, there is 58.3% of students that are not convinced.

Answer:

The length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches

Step-by-step explanation:

Let x inches be the length of the rectangle, then the width of the rectangle is [tex]\dfrac{1}{2}x[/tex] inches.

The perimeter of the rectangle is the sum of all sides' lengths:

[tex]P_{rectangle}=2(\text{Width}+\text{Length})[/tex]

Thus,

[tex]63=2\left(x+\dfrac{1}{2}x\right) \\ \\63=2\cdot \dfrac{3}{2}x\\ \\63=3x\\ \\x=21[/tex]

Hence, the length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches.

The length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches

Step-by-step explanation:

Let x inches be the length of the rectangle, then the width of the rectangle is  inches.

The perimeter of the rectangle is the sum of all sides' lengths:

Thus,

Hence, the length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches.

Answer:

○ C 432 cm.³

Step-by-step explanation:

[tex]whl = V[/tex]

[tex]432 = (6)(9)(8)[/tex]

I am joyous to assist you anytime.

Step-by-step explanation:

A line and circle intersect at exactly one point if the line is tangent to the circle.

A line and circle intersect at exactly two points if the line is a secant line to the circle.

A line and circle cannot intersect at three points.

See attached diagram.

Explanation:

A line that intersects a circle at exactly two points is considered a secant line.

A line that intersects a circle at exactly one point is considered a tangent line.

* I apologize for not having the illustrations, but at least you know what they look like from what that user sent.

You can never intersect a circle at three points.

I am joyous to assist you anytime.

Answer:

Perimeter at the big rectangle is 156 cm.

Step-by-step explanation:

Let's see how to calculate it.

1. First of all you know that perimeter in the blue one is 20cm, so imagine this:

L (long side); S (short side)

2L + 2S =20

and we consider that L = 4S

So, solving the equation:

2.4S + 2S =20

10S=20

S=20/10

S=2

L=8

2. Side at the gold square is 8, the same at the long side in the blue rectangle. So, if you see on the right side in the big one, we got 2 + 8 + 8 + (?). Take a look to the green. Green square is the gold + a short piece and you can understand the short piece as 2 short sides from the blue. If we give numbers we have 8 + 2 + 2, 12.

Now, 2+8+8+12 = 30cm

3. Let's go to the long side in the big one.

We have long side from blue (8) and as you see, side at the orange square must be side at the yellow + short at the blue, so 8+2 =10. We have four oranges square so 10+10+10+10=40, and +8 =48

4. Now that we have the two sides in the big one, let's find the perimeter with the rectangle formula:

2L + 2S =P

2.48 + 2.30 = 156 cm.

Answer:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

Step-by-step explanation:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

Answer:

She will arrive at 3:23 to the pool.

Step-by-step explanation:

Since Natasha takes 33 minutes to walk through the pool from her house.

Also, if she rides a bike then that time is 1/3 times reduced.

So total time to ride the bike from her house to the pool is [tex]33\times\frac{1}{3}=11 minutes[/tex]

Now, If she leaves the house at 3:12 then she will reach to the pool is 3 hours 12 minutes + 11 minutes = 3 hours 23 minutes = 3:13

Hence, She will arrive pool at 3:23.

Answer:

The statistical tests that researchers use to determine if there was a statisticallysignificant difference in levels of self-esteem between the boys and the girls were the T-test and Cohen's d.

Step-by-step explanation:

A statistical test is utilized to evaluate differences between groups (in this case, between boy and girls). The dependent variable was the self-esteem while the independent variable was the sex. A T-test is utilized to establish differences in the mean of two groups. The null hypothesis for a T-test is that means of the groups are the same; the statistical value is t. A Cohen's d test indicates standardized differences between the mean of both groups. It usually accompanies a T-test result; the statistical value is d.

Answer:

this is not a function because the 2 is used twice

Answer: "D"

Step-by-step explanation: The mapping diagram shown here would not represent a function. When looking at a mapping diagram, there is one key thing we need to look for to identity if the relation is a function. We need to look and see if an input has two different outputs. When looking at the mapping diagram, the input (2) has two completely different outputs which makes this hard to interpret data. This means that the relation is not a function.

When dealing with mapping diagrams, remember that an input can only have one corresponding output and if it has more than one, then this would not represent a function.  

Answer:

  no direct variation

Step-by-step explanation:

The y/x ratio varies, so the variation is not direct.

  11/7 ≠ 13/8 ≠ 15/9 ≠ 17/10

Answer:

x = 50

Step-by-step explanation:

The two angles are vertical angles, so they are congruent. Congruent angles have equal measures. Set the angle measures equal to each other, and solve the equation for x.

2(x + 10) = 3x - 30

Distribute on the left side.

2x + 20 = 3x - 30

Subtract 2x from both sides.

20 = x - 30

Add 30 to both sides.

50 = x

x = 50

Answer:

x=50

Step-by-step explanation:

2x+20 = 3x-30

2x+50 = 3x

50 = x

Answer:

The given statement is false.

Step-by-step explanation:

Accounting deals with the strategic financial issues associated with increasing the value of the business while observing applicable laws and social responsibilities.

This is false.

In accounting, we can make reports like journal entries, trial balance, profit and loss balance sheet etc. for the year but an accountant cannot make strategies over financial issues.

Answer:

D.8 inches

Step-by-step explanation:

Answer:

  C = 18g +350

Step-by-step explanation:

The 2-point form of the equation of a line is useful for this. For points (x1, y1) and (x2, y2), the equation is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

For points (25, 800) and (60, 1430), the line is ...

  y = (1430 -800)/(60 -25)(x -25) +800

  y = 630/35(x -25) +800

  y = 18x +350

Using the variables required by the problem statement, this is ...

  C = 18g +350

To find a possible value for n given the number of squares not along the boundary of a gameboard, set up an equation and solve it using the quadratic formula.

The number of squares that do not lie along the boundary of the gameboard can be found by subtracting the number of squares along the boundary from the total number of squares on the gameboard. The total number of squares on the gameboard is n×n, and since there are n squares along each side of the gameboard, the number of squares along the boundary is 4n. Therefore, the number of squares that do not lie along the boundary is n×n - 4n.

Given these equations, we can set up an equation for each possible value of k:

We can solve these equations to find the possible values of n. For the first equation, arranging the terms gives us the quadratic equation n×n - 4n - 10 = 0. By solving this quadratic equation using the quadratic formula, we can find the possible values of n that satisfy the equation. Similarly, we can do the same for the remaining equations to find all possible values of n.

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Answer:

The answer is d) 297000

Step-by-step explanation:

The stockholders' equity of a company represents the amount of money that will be returned to the accionists if all the assests will be liquidated and the compan'y debt will be paid.  So to calculate the Swifty Corporation stockholders' equity at the end of the year you need to add all what enters to the company (assets and revenues) and substract all what goes out (liabilities, expenses and dividends).

- What enters?

Total incomes = $300.000 + $633.000 = $933.000

- What goes out?

Total expenses = $240.000 + $335.000 + $61.000 = $636.000

Stockholders' equity = Total income - Total expenses

Stockholders' equity = $933.000 - $636.000 = $297.000

The study investigated whether a woman can accurately guess a man's marital status based on his face after a meal. The population of interest included 40 undergraduate women who guessed the marital status of 80 men based on their photos. The accuracy of the guesses improved with proximity to the women's last meal.

The study investigated whether a woman can accurately guess the marital status of a man by looking at his face after a meal. The population of interest consisted of 40 undergraduate women who were asked to guess the marital status of 80 men based on photos of their faces. Half of the men were married, and the other half were single. The researchers also found that the accuracy of the guesses increased the closer a woman was to her last meal.

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To find the probability that a middle-aged man with diabetes is very active, we need to use conditional probability. We calculate the probability of a middle-aged man being very active and the probability that a middle-aged man has diabetes. Then we use these probabilities to find the conditional probability of being very active given diabetes.

To find the probability that a middle-aged man with diabetes is very active, we need to use conditional probability. Let's first calculate the probability of a middle-aged man being very active:

P(very active) = 1/10

The remaining probability would be for men who are sedentary:

P(sedentary) = 1 - P(very active) = 9/10

Now we can calculate the probability that a middle-aged man with diabetes is very active using conditional probability:

P(very active | diabetes) = (P(very active) * P(diabetes | very active)) / P(diabetes)

Since the question states that men who are very active are a third as likely to develop diabetes compared to men who are sedentary, we can calculate:

P(diabetes | very active) = 202/5990

P(diabetes) = (202/5990 * 1/10) + (P(diabetes | sedentary) * 9/10)

Substituting the values, we can calculate the probability that a middle-aged man with diabetes is very active:

P(very active | diabetes) = (1/10 * 202/5990) / ((202/5990 * 1/10) + (P(diabetes | sedentary) * 9/10))

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The probability that a middle-aged man with diabetes is very active is:

[tex]\[ {0.0356} \][/tex].

Given data:

- [tex]\( P(A) = \frac{1}{10} = 0.1 \)[/tex](probability of being very active)

- [tex]\( P(S) = \frac{9}{10} = 0.9 \)[/tex] (probability of being sedentary)

- [tex]\( P(D | S) \)[/tex] (probability of developing diabetes given sedentary) is not directly given, but we can deduce it using the provided data and the fact that the risk of diabetes for active men is a third of that for sedentary men.

- Total probability of developing diabetes, [tex]\( P(D) = \frac{202}{5990} \approx 0.0337 \)[/tex]

First, we need to calculate [tex]\( P(D | A) \) and \( P(D | S) \)[/tex]:

Since active men are a third as likely to develop diabetes compared to sedentary men:

[tex]\[ P(D | A) = \frac{1}{3} P(D | S) \][/tex]

Using the law of total probability for  P(D) :

[tex]\[ P(D) = P(D | A)P(A) + P(D | S)P(S) \][/tex]

Substitute the given values and the relationship between  P(D | A) and  P(D | S):

[tex]\[ 0.0337 = \left( \frac{1}{3} P(D | S) \right)(0.1) + P(D | S)(0.9) \][/tex]

Solve for P(D | S) :

[tex]\[ 0.0337 = \frac{1}{30} P(D | S) + 0.9 P(D | S) \]\[ 0.0337 = 0.0333 P(D | S) + 0.9 P(D | S) \]\[ 0.0337 = (0.0333 + 0.9) P(D | S) \]\[ 0.0337 = 0.9333 P(D | S) \]\[ P(D | S) = \frac{0.0337}{0.9333} \approx 0.0361 \][/tex]

Now calculate  P(D | A) :

[tex]\[ P(D | A) = \frac{1}{3} P(D | S) = \frac{1}{3} \times 0.0361 \approx 0.0120 \][/tex]

Next, apply Bayes' theorem to find  P(A | D) :

[tex]\[ P(A | D) = \frac{P(D | A) P(A)}{P(D)} \]\[ P(A | D) = \frac{0.0120 \times 0.1}{0.0337} \]\[ P(A | D) = \frac{0.0012}{0.0337} \approx 0.0356 \][/tex]

Answer:

d. empirical discrete distribution

Step-by-step explanation:

Empirical refers to what you observe, in this case the relative frequency

Discrete probability distributions is what you are trying to develop.

a, b and c are different forms an empirical discrete distribution can take. You could say that a,b and c are "types" of the "empirical discrete distribution"

The use of the relative frequency method leads to an empirical discrete distribution, which reflects observed frequencies in a sample and is distinct from theoretical models like the binomial distribution.

The use of the relative frequency method to develop discrete probability distributions leads to what is known as an empirical discrete distribution. This method involves determining probabilities based on the frequency of observed outcomes in a sample. In contrast, other discrete distributions such as the binomial distribution, hypergeometric distribution, and Poisson distribution are based on mathematical models with specific properties and assumptions beyond empirical observation.

An empirical discrete distribution captures the observed frequencies of outcomes in a sample and uses these frequencies as probabilities. It does not assume a specific theoretical distribution model, unlike the uniform distribution which assumes each outcome is equally likely, or the binomial distribution which is based on a fixed number of independent trials with a constant probability of success.

So this number is going to be a seven-digit number, and in the ones place, there will be a 0, giving us ?.???.??0. When a 6 is in the ten thousands place and the 8 in the millions place, it would be 8,?6?,??0. Now the rest of the places that are missing a number is going to be five, which is 8,565,550. The answer is 8,565,550.

Hope this helped!

Nate

Answer: C

Step-by-step explanation: C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Total: 1000

20 had fever, so 1000 - 20 = 980 who did not have fever

Total who did not have fever: 980

As 880 not fever and not inflamation, 980 - 880 = 100

So, 100 had inflamation but not fever.

We need the 2 statements and they alone do not answer the question

Answer:

A- for every animal, if the animal is a rabbit, the animal hops.

B- every animal is a rabbit and it hops.

C-there are animals that, if they are rabbits, they hop.

D-there are animals that are rabbits and they hop

Answer:

a) For every animal, if the animal is a rabbit, then the animal hops

b) For every animal, the animal is a rabbit and the animal hops

c) there are animals such that if they are rabbits then they hop

d) there are animals such that they are rabbits and they hop

Step-by-step explanation:

∀ For every

a⇒b  a then b

a∧b   a and b

∃ there are

Answer:

See the picture

Step-by-step explanation:

Interval   (-∞, 1] U (8, ∞)

On a number line the inequality x ≤ 1 shows all the numbers less than 1 and x>8 shows all the numbers greater than 8.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

The graph of the two inequality is attached with the answer below where the inequality x ≤ 1 shows all the numbers less than 1 and x>8 shows all the numbers greater than 8.

To know more about inequality follow

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Answer:

50 pens

Step-by-step explanation:

x= 25 percent of 200

25/100 times X/200

Cross multiply them and you get

100x=5000

X=5000/100

X=50

25 percent of 200 is 50.

Which means they have away 50 pens

Answer:

P = 8x + 2

P = 98 when x = 12

Step-by-step explanation:

the perimeter is 2 times width + length

P = 2(w + l)

w = 2x - 5

l = 2x + 6

replacing both terms in the perimeter:

P = 2(2x - 5 + 2x + 6)

P = 2(4x + 1)

P = 8x + 2

Evaluating P for x = 12

P = 8(12) + 2

P = 98

Answer: 896.9072165

Step-by-step explanation:

Answer:

The answer to your question is: t = 11-3 h

Step-by-step explanation:

Data

r = 33.2 m/h

d = 375.16 m

Formula

d = rt

Clear t from the equation

 t = d/r

Substitution

t = 375.16 m / 33.2 m/h  

Simplifying

t = 11.3 h        result

Answer:

for year 1

common stock =  $1.75 per share

preferred stock  = Zero

for year 2

common stock =  $4.25 per share

preferred stock  = $0.3 per share

for year 3

common stock =   $3 per share

preferred stock  =  $2 per share

Step-by-step explanation:

step 1

preferred stock value =  (40000 shares * $150) = $6000000

common stock value  = (100000 shares * $5) = $500000

 step 2

For year 1:

Dividend on preferred stock;

[tex]\frac{6000000 * 2}{100}[/tex] = $120000

But total dividend in the question was $70000 therefore total amount of  dividend on cumulative preferred stock is $70000.

hence, dividend per share

[tex]= \frac{70000}{40000 shares}[/tex] = $1.75 per share

Dividend on common stock;

70,000 - 70,000 = Zero

as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.

For year 2:

Dividend on cumulative preferred stock;

[tex]\frac{6000000 * 2}{100}[/tex]= $120000

extra dividend of year 1 ($120000 - $70000) = $50000

Thus total dividend on cumulative preferred stock

($120000 + $50000) = $170000

So dividend per share

[tex]\frac{170000}{40000\ shares}[/tex]= $4.25 per share

Dividend on common stock;

($200000 – $170000) = $30000

dividend per share

[tex]\frac{30000}{100000\ shares}[/tex] = $0.3 per share

For year 3:

Dividend on cumulative preferred stock;

[tex]\frac{6000000 * 2}{100}[/tex] = $120000

total dividend on cumulative preferred stock $120000

dividend per share

[tex] \frac{120000}{40000 shares}[/tex] = $3 per share

No dividend was extra in the year 2 therefore only available dividend of this year will be paid.

Dividend on common stock;

($320000 – $120000) = $200000

dividend per share

[tex]\frac{200000}{100000\ shares}[/tex]= $2 per share

Answer:

There is one knave

Step-by-step explanation:

Let's analyze the two possible scenarios, from the unheard Fred's answer

- SCENARIO 1: Fred is a knave.

If Fred is a Knave, he must have told to the other natives that he wasn't, remember that Knaves will never tell the truth. In that sense, George said that Fred denied being a knave, he would be telling the truth (Fred is a knight) and Quincy said that Fred is a knave, which would also be true (Quincy is a knight too).

-SCENARIO 2: Fred is a knight

If Fred is a knight, he must have told to the other natives that he wasn't a knave, he would be telling the truth. In this case, George would also be telling the truth by ensuring that Fred denied being a knave (Fred is a knight). However, Quincy would be lying to ensure that Fred is a knave. In this scenario Quincy is the knave

In conclusion, in both scenarios, there is only one knave.