if you create an online survey, individuals can choose on their own whether to participate in the sample. this causes a form of bias called __________.
a. voluntary response
b. undercoverage
c. response
d. non-response

We know that the score is obtained by subtracting the number of incorrect answers from twice the number of correct answers. Let's use "x" to represent the number of correct answers.

According to the question, the player answered 40 questions in total. This means that the number of incorrect answers is 40 - x.
Now we can use the formula for the score:
Score = 2x - (40 - x)
We also know that the player obtained a score of 50. So we can set up the equation:
50 = 2x - (40 - x)
Simplifying the equation:
50 = 3x - 40
90 = 3x
x = 30
Therefore, the player answered 30 questions correctly.
To check, we can plug this value back into the formula for the score:
Score = 2x - (40 - x)
Score = 2(30) - (40 - 30)
Score = 60 - 10
Score = 50
So the score of 50 is correct and the player answered 30 questions correctly.

To find out how many questions the player answered correctly in the trivia game with a score of 50, we can use the given information to set up an equation:
Let x be the number of correct answers and y be the number of incorrect answers. According to the question, the score is calculated by subtracting the number of incorrect answers (y) from twice the number of correct answers (2x). The player answered 40 questions in total, so we have:
x + y = 40
2x - y = 50
Now we can solve this system of equations step-by-step:
1. Solve the first equation for x:
x = 40 - y
2. Substitute this expression for x in the second equation:
2(40 - y) - y = 50
3. Simplify the equation:
80 - 2y - y = 50
4. Combine like terms:
80 - 3y = 50
5. Subtract 80 from both sides:
-3y = -30
6. Divide both sides by -3:
y = 10
7. Substitute the value of y back into the expression for x:
x = 40 - 10
x = 30
The player answered 30 questions correctly in the trivia game with a score of 50.

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Answer:  \(p = -10+\sqrt{3}\)

When writing this on a keyboard, we could say p = -10+sqrt(3)

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Explanation:

We're told the angle between the line and x axis is \(\tan^{-1}\left(\frac{-1}{\sqrt{3}}\right)\)

This is one of the infinitely many exact solutions to the equation \(\tan(\theta) = \frac{-1}{\sqrt{3}}\) where \(\theta\) (Greek letter theta) is the angle in question.

It turns out that the tangent ratio is exactly the slope of a line.

Both describe a ratio of how far something moves up or down, over how far it moves to the right.

So saying \(\tan(\theta) = \frac{-1}{\sqrt{3}}\) means that the slope of our mystery line is exactly \(\frac{-1}{\sqrt{3}}\)

-------------------------------

What we'll do is compute the slope on the points \((\ -p, -2\sqrt{3} \ ) \text{ and } (4, -1)\)

That produces some algebraic expression in terms of p. That expression is set equal to the previously mentioned slope of \(\frac{-1}{\sqrt{3}}\) which will allow us to solve for p.

Part 1

\(m = \text{slope}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-1-(-2\sqrt{3})}{4-(-p)}\\\\m = \frac{-1+2\sqrt{3}}{4+p}\\\\-\frac{1}{\sqrt{3}} = \frac{-1+2\sqrt{3}}{4+p} \ \ \text{ ... plug in the previously mentioned slope}\\\\-(4+p) = (\sqrt{3})(-1+2\sqrt{3}) \ \ \text{ ... cross multiply}\\\\\)

Part 2

\(-4-p = -\sqrt{3}+2(\sqrt{3})^2\\\\-4-p = -\sqrt{3}+2(3)\\\\-4-p = -\sqrt{3}+6\\\\-p = -\sqrt{3}+6+4\\\\-p = 10-\sqrt{3}\\\\p = -10+\sqrt{3}\\\\\)

Probability helps us to know the chances of an event occurring. Emil's estimated probability, based on this simulation is 0.4167.

The probability helps us to know the chances of an event occurring.

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

As it is given that if the output of the computer is 1, then it represents tails, while the 0 represents the head. Also, the results of 12 trials are 111, 011, 000, 010, 100, 111, 010, 111, 111, 101, 000, 111.

Now, in the set of results, we need to calculate the number of results in which the outcome is 2 or more heads, therefore, we need the output that has 2 or more zeroes in it.

Results with 2 or more zeroes are 000, 010, 100, 010, 000

The number of results with 2 or more zeroes is 5.

The total number of possible results is 12.

The probability That Emil will get 2 or more heads can be written as,

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

\(\rm Probability(2\ or\ more\ zero) = \dfrac{\text{Number of results with 2 or more zeroes }}{\text{Total number of possible results }}\)

\(\rm Probability(2\ or\ more\ zero) = \dfrac{5}{12} = 0.4167 = 41.67\%\)

Hence, Emil's estimated probability, based on this simulation is 0.4167.

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The expected number of winning tickets in fifty years is 18.25.

If there is a series of n independent Bernoulli trials, then each of the trials will have a probability of success i.e p. The expected value of the binomial distribution E( n, p) is the product of n and p

Using the above formula we will solve given problem given below

Here we have

In a certain lottery game, the chance of getting a winning ticket is exactly one in a thousand i.e p = [ 1/1000]  

Given that a person buys one ticket each day (except on the leap year day February 29) over a period of fifty years.

As we know 1 year = 365

No of tickets that can be bought in fifty years (n)= 50 × 365 = 18250

Given that, the chance of winning = [ 1/1000]  = 0.001

=> p = 0.001

Chance of winning 50 years = 18250 × 0.001 = 18.25  

Therefore,

The expected number of winning tickets in fifty years is 18.25.

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Part A

\(RS+ST=RT \\ \\ 8y+4+5y+7=115 \\ \\ 13y+11=115 \\ \\ 13y=104 \\ \\ y=8\)

Part B

\(RS=8(8)+4=68 \\ \\ ST=5(8)+7=47\)

Minimum sample size to satisfy manufacturer requirements is 2401.

The sample size is defined as the number of observations used for determining the estimations of a given population. The size of the sample has been drawn from the population. The number of entities in a subset of a population is selected for analysis.

Given,

Margin of error m = 0.02

for Confidence interval = 95% , Z - value = 1.96

Sample size n = Z²p(1 – p)/m²

p is the proportion of population (generally taken as 0.5),

m is the margin of error.

n = (1.96)²× 0.5(1 - 0.5)/(0.02)²

n = (1.96)²× 0.5(0.5)/(0.02)²

n = 2401

Hence, 2401 is the smallest sample size.

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Answer:

9 sq units

Step-by-step explanation:

1.5+1.5+4.5+1.5 = 9

Answer:

9

Step-by-step explanation:

Answer:

The answer is true

Answer:

1414 tickets, in explanation

Hope this helps!

Step-by-step explanation:

1 ticket = $9.50

? tickets = $13,433

13,433 ÷ 9.50 = 1414

9.50 × 1414 = 13,433

1 ticket × 1414 = ? tickets

? tickets = 1414 tickets

d

Step-by-step explanation:

There are two types of classifications for triangles, Classification according to internal angles and Classification according to the length of its sides.

A geometrical shape with three vertices, angles and sides, whose sum of internal angles is 180° is considered as a triangle.

Classification of triangles :-

There are two ways to classify triangles,

1) Based on the Angle :-

a) Acute Angled Triangle :- A triangle that has all three angles less than 90° is an acute angle triangle.

b) Right-Angled Triangle :- A triangle that has one angle that measures exactly 90° is a right-angle triangle.

c) Oblique Angled Triangle :- A triangle that has one angle that measures more than 90° is an obtuse angle triangle.

2) Based on the Sides :-

a) Scalene Angled Triangle :- A triangle that has all three sides of different lengths is a scalene triangle.

b) Isosceles Angled Triangle :- A triangle that has two sides of the same length and the third side of a different length is an isosceles triangle.

c) Equilateral Angled triangle :- A triangle that has all three sides of the same length is an equilateral triangle.

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Answer:

258

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

A polynomial doesn't include no negative exponents so our answer has to be negative in order to make our power positive.

This terms is in between a quadratic and constant term so the terms has to be raised to 1st power.

It has to be negative so the answer will be

-1

Answer:

The answer to this question is Parallel

Answer:

A

Step-by-step explanation:

Parrlel i think  

The other root of the polynomial is 1 - √3.

The roots of a polynomial are the values of the independent variable at which the polynomial is zero.

If a polynomial has integral coefficients with 3 + i and 1 + √3  as roots, then what other roots must it have? To find the roots it has, we note that the root of a polynomial with a square root in the root also has the conjugate of the square root as a root.

So, since 1 + √3, the conjugate is also a root.

The conjugate is 1 - √3.

So, the other root is 1 - √3.

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Answer: 2

Step-by-step explanation:

5-(6-3)

5-(3)

2

Answer:

2

Step-by-step explanation:

First you need to take away the 5 and set it to the side then take the (6-3) and subtract the 3 from the 6 which gives you 3.

Next you need to subtract 3 from 5 giving you the answer of 2.

The option that represents the first step is x² + 4x = -3

The equation is given as:

x² + 4x + 3 = 0

The first step is to isolate the constant.

So, we have:

x² + 4x = -3

Hence, the option that represents the first step is x² + 4x = -3

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Answer:

c

Step-by-step explanation:

Answer:

Having soup and salad for lunch are independent events because P(A/B)=P(A) and P(B/A) = P(B)

Step-by-step explanation:

a) The PMF of X is described in the following table:

X | 0 | 1 | 2

P(X) | 0.5 | 0.3 | 0.15

b) The expected value of X is 0.6.

(a) Probability mass function (PMF) of X:

The experiment ends when a red marble is drawn.

X represents the number of green marbles drawn before the first red marble is drawn.

X can take values from 0 to 2, as there are only 3 green marbles in the urn.

The probability of drawing 0 green marbles (X = 0):

P(X = 0) = (3/6) = 0.5

The probability of drawing 1 green marble (X = 1):

P(X = 1) = (3/6) * (3/5) = 0.3

The probability of drawing 2 green marbles (X = 2):

P(X = 2) = (3/6) * (2/5) * (3/4) = 0.15

(b) Expected value (E(X)):

E(X) = (0 * 0.5) + (1 * 0.3) + (2 * 0.15)

E(X) = 0 + 0.3 + 0.3

E(X) = 0.6

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The potato chips have the lowest unit price per ounce at $0.10 per ounce. Potato chips are the best option if you want to get the most value for your money.

The unit price per ounce is the price of a single unit of measurement of a product, such as an ounce, pound, or liter.

The unit price per ounce is useful in comparing the cost of similar products when they come in various sizes. It helps to calculate which item costs less per unit of measurement than the others. Here are the calculations:

For pretzels: $1.99 / 16 ounces = $0.12 per ounce

For tortilla chips: $2.59 / 24 ounces = $0.11 per ounce

For potato chips: $3.29 / 32 ounces = $0.10 per ounce

As a result, the potato chips have the lowest unit price per ounce at $0.10 per ounce.

The tortilla chips were the next lowest, with a unit price per ounce of $0.11.

The pretzels had the highest unit price per ounce, at $0.12 per ounce. Therefore, if you're looking to get the most bang for your buck, potato chips are the way to go.

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(a) Symbol used for sample standard deviation is “s” or “σˆ” (s-hat). The unit for the sample standard deviation is grams, as it is calculated from a sample.

(b) Symbol used for population standard deviation is “σ” (sigma).The unit for the population standard deviation is also grams, as it is calculated for the entire population.

The population standard deviation is a parameter, which is a fixed value calculated from every individual in the population.

A sample standard deviation is a statistic. This means that it is calculated from only some of the individuals in a population. Since the sample standard deviation depends upon the sample, it has greater variability.

(c) Symbol used for sample variance is “s²” or “σ²ˆ” (sigma-hat squared). The unit for the sample variance is grams², as it is calculated from a sample.

(d) Symbol used for population variance is “σ²” (sigma squared). The unit for the population variance is also grams², as it is calculated for the entire population.

Population variance refers to the value of variance that is calculated from population data, and sample variance is the variance calculated from sample data.

Due to this value of denominator in the formula for variance in case of sample data is ‘n-1’, and it is ‘n’ for population data. As a result both variance and standard deviation derived from sample data are more than those found out from population data.

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The total earnings of the bus driver in a year is $28500.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

The bus driver works 2000 hours each year and makes $14 per hour.

If the bus driver gets $50 for each new recruit he hired.

Let y be his total earnings and x be the number of new drivers he recruits.

Then his total earnings can be represented by the function:

y = 14 × 2000 + 50 × x

If the bus driver recruits x = 7 new drivers.

y = 28000 + 50 × 7

y = 28000 + 350

y = $28350

The total earnings of the bus driver are $2850.

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Answer:

21.99ft

Step-by-step explanation:

Answer:

21.99ft

Step-by-step explanation:

21.991 feet

263.89 inches

21′ 11.89″ feet and inches

6.7029 meters

670.29 centimeters

Answer:

\(\frac{2}{5}\vec{a}+\vec{b}\)

Step-by-step explanation:

\(\vec{DE}=\vec{DB}+\vec{BE}\)

      \(=\frac{3}{5}\vec{OB}+\frac{1}{5}\vec{BC}\)                \(\left\{OD:DB=2:3,BE:EC=1:4\right\}\)

      \(=\frac{3}{5}\left(\vec{OA}+\vec{AB}\right)+\frac{1}{5}\left(\vec{BA}+\vec{AO}+\vec{DC}\right)\)

      \(=\frac{3}{5}\left(\vec{a}+\vec{b}\right)+\frac{1}{5}\left(-\vec{b}-\vec{a}+\vec{3b}\right)\)

      \(=\frac{2}{5}\vec{a}+\frac{2}{5}\vec{b}+\frac{3}{5}\vec{b}\)

      \(=\frac{2}{5}\vec{a}+\vec{b}\)

I hope this helps you

:)

The integral is equal to the volume of the region defined by the limits of integration. The integral can be written as xzdv where e=(xyz) 0. This means that the integral is the volume of the region in the xyz-space bounded by the surfaces x=0, y=0, and z=0.

The triple integral xzdv where e=(xyz) 0 is an integration of a function with respect to three variables over a three-dimensional region. This type of integral is used to calculate the volume of the region defined by the limits of integration. To solve this integral, the limits of integration must first be determined. This is achieved by solving for the values of x, y, and z which limit the region. Once the limits of integration have been determined, they can be substituted into the integral. Then, the integral is integrated with respect to x, then y, then z. Finally, the integral is evaluated to determine the volume of the region. The triple integral is a useful tool in physics, engineering, and mathematics, and can be used to solve a variety of problems.

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Answer:

10 days

Step-by-step explanation:

3 kilograms -> 3000 grams

3000 grams / 300 grams per day = 10 days of food. (that is a lot for a dog to eat-)