Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.

In this particular study, Selection bias, Response bias, non response bias and Self-selection bias may exist.

There are several biases that may exist in the study:

1. Selection bias: By only calling people whose names were randomly sampled from the phone book, the study may not accurately represent the population of the state as a whole. Mobile phones and unlisted numbers, which may represent a significant portion of the population, are not included in phone books and therefore not included in the sample.

2. Response bias: The study only includes people who answered the phone when the senator's office called. This means that the sample only represents people who were available and willing to participate in the study. People who were not available or unwilling to participate may have different opinions, which would introduce a response bias.

3. Nonresponse bias: People who did not answer the phone when the senator's office called may have different opinions than those who answered. This nonresponse bias can result in an overestimation or underestimation of the true population values.

4. Self-selection bias: By only calling people who answered the phone, the study may only represent those who are interested in politics or are more likely to participate in political surveys. This self-selection bias can result in an overestimation or underestimation of the true population values.

These biases can lead to inaccurate results and conclusions. To reduce these biases, it's important to use a representative sample of the population and to make sure that the sample is selected in a way that minimizes bias

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Answer:

yes you're right it is 14 + 28p = 315

Answer:

C

Step-by-step explanation:

I had this question edge 2021

Answer:

1,120

Step-by-step explanation:

If you divide 280 and 5 you get 56. Then you multiply 56 and 20 and you get 1,120

Darius obtained a $15,000 loan at an interest rate of 6.8% for 4 years. We will use the monthly payment formula to calculate the monthly payment amount.

To calculate the monthly payment amount for Darius' loan, we can use the monthly payment formula:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M is the monthly payment

P is the principal amount (loan amount)

r is the monthly interest rate (annual interest rate divided by 12)

n is the total number of months (loan term in years multiplied by 12)

In this case, Darius obtained a loan of $15,000 with an interest rate of 6.8% for 4 years. Let's calculate the monthly payment step by step:

Step 1: Convert the annual interest rate to a monthly rate:

r = 6.8% / 100 / 12 = 0.00567

Step 2: Calculate the total number of months:

n = 4 years * 12 = 48 months

Step 3: Substitute the values into the monthly payment formula:

M = 15,000 * (0.00567 * (1 + 0.00567)^48) / ((1 + 0.00567)^48 - 1)

Evaluating this expression, the monthly payment amount for Darius' loan is approximately $354.56.

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Answer:

44

14

19

47

Step-by-step explanation:

using trig functions

Answer:

x = 10

Step-by-step explanation:

Step-by-step explanation:

x+40=60°{ vertically opposite angle r equal}

hope it helps.

stay safe healthy and happy.

Answer:

x = 20

Step-by-step explanation:

Angle 60 will be the same as x+40

60 = x+40

60-40 = x

20 =x

The expected return on this stock should be 11.38%

The expected return on a stock can be calculated using the Capital Asset Pricing Model (CAPM) formula:

Expected Return on Stock = Risk-Free Rate + Beta * (Expected Return on Market - Risk-Free Rate)

Given that the beta of the stock is 1.15, the expected return on the market is 10.3 percent, and the risk-free rate is 3.1 percent, we can plug these values into the formula:

Expected Return on Stock = 3.1% + 1.15 * (10.3% - 3.1%)

Expected Return on Stock = 3.1% + 1.15 * 7.2%

Expected Return on Stock = 3.1% + 8.28%

Expected Return on Stock = 11.38%

Therefore, the expected return on this stock should be 11.38%.

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Answer:

The answer is D.

Step-by-step explanation:

Find the boundary line, and then just shade the area.

y < 1/2x + 2

Answer:

d

Step-by-step explanation:

2023

Answer: X = 2

Step-by-step explanation:

Answer:

24/8 or 3

Step-by-step explanation:

19/8 + 5/8

=> 19 + 5 / 8

=> 24/8

=> 3

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Answer:

a mild form of a disease that is put (injected) into a person or an animal’s blood using a needle (an injection) in order to protect the body against that disease

The point of concurrency in the triangle is point T; an orthocenter

From the given triangle, we have the following highlights

Hence, the point of concurrency in the triangle is point T; an orthocenter

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Answer:

16 + 5 =21 21 is your answer

Step-by-step explanation:

The minimum sample size such that the margin of error is no more than 0.08 for a 99% confidence interval is 268

Total population = No prior estimate

The margin of error = 0.08

Confidence Interval = 99%

Determining the sample size -

\(n = (z^2 x p x (1-p)) / (e^2)\)

where p is an estimate of the population percentage, e is the margin of error, and n n is the minimum sample size. Z is the z-score corresponding to the degree of confidence, and it is 2.576 for a 99% confidence interval.

Therefore,

Substituting the values -

\(n = (2.576^2 x 0.5 x (1-0.5)) / (0.08^2)\)

n = 267.6 or 268

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The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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The equation for the proportional relationship is y = 65x

The animal shelter wants to track its profit for each animal that is

adopted.

The cost of each animal adoption = $65

Consider the number of animal adoption = x

Consider the total profit from animal adoption = y

From the given the details, we can say that the profit from the animal adoption is directly proportional to the number of animal adoption,

Then the relationship will be

y ∝ x

y = kx

Here the cost of each animal adoption is k = 65

Then the equation will be

y = 65x

Hence, the equation for the proportional relationship is y = 65x

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Answer:

Z+12a−z+8+12−+8

Step-by-step explanation:

Z+8−6(z−2a)+5z

+8−6(−2)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8+12a−z+8+12−

Answer:

Z + 8 + 12a − z

12a + 8

Step-by-step explanation:

If  a + b + c = 0, the value of the expression is 2.

The expression refers to the mathematical equation provided in the previous response. Here is the simplified expression after performing the necessary calculations:

Given that a + b + c = 0, we can simplify the expression as follows:

\((c ^ 2 - (a - b) ^ 2)/(a ^ 2 - (b + c) ^ 2) + (a ^ 2 - (b - c) ^ 2)/(b ^ 2 - (c + a) ^ 2) + (b ^ 2 - (c - a) ^ 2)/(c ^ 2 - (a + b) ^ 2)\)

Replacing c with -(a + b), we get:

\(((-a - b) ^ 2 - (a - b) ^ 2)/(a ^ 2 - (b + (-a - b)) ^ 2) + (a ^ 2 - (b - (-a - b)) ^ 2)/(b ^ 2 - ((-a - b) + a) ^ 2) + (b ^ 2 - ((-a - b) - a) ^ 2)/((-a - b) ^ 2 - (a + b) ^ 2)\)

Simplifying further:

\((4ab)/(a ^ 2 - (a - 2b) ^ 2) + (4ab)/(b ^ 2 - (-a + b) ^ 2) + (4ab)/((a + b) ^ 2 - (-a - b) ^ 2)\)

Since a + b + c = 0, we have c = -(a + b), which implies that c ^ 2 = (a + b) ^ 2.

Substituting this back into the expression:

\((4ab)/(a ^ 2 - (a - 2b) ^ 2) + (4ab)/(b ^ 2 - (-a + b) ^ 2) + (4ab)/((a + b) ^ 2 - (a + b) ^ 2)\)

Now, we can simplify the denominators:

\((a ^ 2 - (a - 2b) ^ 2) = 4ab\\\\(b ^ 2 - (-a + b) ^ 2) = 4ab\\\\((a + b) ^ 2 - (a + b) ^ 2) = 0\)

Therefore, the expression simplifies to:

(4ab)/(4ab) + (4ab)/(4ab) + 0

Simplifying further:

1 + 1 + 0 = 2

Thus, the value of the expression is 2.

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Your question seems incomplete, the probable complete question is:

If a+b+c=0, then find (c ^ 2 - (a - b) ^ 2)/(a ^ 2 - (b + c) ^ 2) + (a ^ 2 - (b - c) ^ 2)/(b ^ 2 - (c + a) ^ 2) + (b ^ 2 - (c - a) ^ 2)/(c ^ 2 - (a + b) ^ 2)​

The frequency of the allele for non-tasting PTC in the population is 0.09 or 9%.

To determine the frequency of the allele for non-tasting PTC in a population where the frequency of PTC tasters is 91%, we can use the Hardy-Weinberg equation. The Hardy-Weinberg principle describes the relationship between allele frequencies and genotype frequencies in a population under certain assumptions.

Let's denote the frequency of the allele for taster individuals as p and the frequency of the allele for non-taster individuals as q. According to the principle, the sum of the frequencies of these two alleles must equal 1, so p + q = 1.

Given that the frequency of PTC tasters (p) is 91% or 0.91, we can substitute this value into the equation:

0.91 + q = 1

Solving for q, we find:

q = 1 - 0.91 = 0.09

Therefore, the frequency of the allele for non-tasting PTC in the population is 0.09 or 9%.

It's important to note that this calculation assumes the population is in Hardy-Weinberg equilibrium, meaning that the assumptions of random mating, no mutation, no migration, no natural selection, and a large population size are met. In reality, populations may deviate from these assumptions, which can affect allele frequencies. Additionally, this calculation provides an estimate based on the given information, but actual allele frequencies may vary in different populations or geographic regions.

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Answer:

\(5x(x-8)\)

Step-by-step explanation:

Factor \(5x\) out of \(5x^{2} -40x\)

Answer:

4 lawns

Step-by-step explanation:

$145=$65+N*$20

where N= no. of lawns he needs to now

$80=$20N

N=4

Answer:

(x + 3)^2 + (y - 3)^2 = 5^2

Step-by-step explanation:

They're not really much to show work. Looking at the graph we need to find the origin which is (h  ,k), and the radius.

(h , k) = (-3 , 3)

The radius is r = 5 because counting it from origin to the edge.

Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2

(x - (-3))^2 + (y - 3)^2 = 5^2

(x + 3)^2 + (y - 3)^2 = 5^2

Answer:

5x43

it can only be divided by 1, 5, and 43.

When 215 is written as a product of its prime factor, the result is 5 × 43.

To find the prime factorization of 215, we'll divide it by its smallest prime factor and continue the process until we get all the prime factors. Here's the step-by-step breakdown:

Divide 215 by the smallest prime number, which is 5. We get:

215 ÷ 5 = 43

43 is a prime number, so we stop here.

Now, the prime factorization of 215 is:

215 = 5 × 43

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The mean number of days to maturity for dollars invested in these five money market funds is approximately 8.95 days.

To calculate the weighted mean of the days to maturity, we need to multiply each value of days to maturity by its corresponding dollar value, sum the products, and divide the result by the total dollar value.

The calculation for the weighted mean is as follows:

Weighted Mean = (D1 x V1 + D2 x V2 + D3 x V3 + D4 x V4 + D5 x V5) / (V1 + V2 + V3 + V4 + V5)

where D represents the days to maturity and V represents the dollar value.

Using the given values, we can plug them into the formula and get:

Weighted Mean = (15 x 15 + 11 x 10 + 7 x 25 + 5 x 15 + 4 x 10) / (15 + 10 + 25 + 15 + 10)

Weighted Mean = 8.95 (rounded to two decimal places)

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The critical point of the function \(z = 5x^2 - 7x + 8y + 2y^2\) is \((x, y, z) = \left(\frac{7}{10}, -2, \frac{169}{10}\right)\).

To find the critical point of the function \(z = f(x, y) = 5x^2 - 7x + 8y + 2y^2\), we need to solve the system of equations formed by setting the partial derivatives equal to zero:

\(\frac{\partial f}{\partial x} = 10x - 7 = 0\)
\(\frac{\partial f}{\partial y} = 8 + 4y = 0\)

From the first equation, we have \(10x = 7\), which gives \(x = \frac{7}{10}\).

From the second equation, we have \(4y = -8\), which gives \(y = -2\).

Substituting these values of \(x\) and \(y\) into the function \(f(x, y)\), we can find the corresponding value of \(z\):

\(z = f\left(\frac{7}{10}, -2\right) = 5\left(\frac{7}{10}\right)^2 - 7\left(\frac{7}{10}\right) + 8(-2) + 2(-2)^2\)

Simplifying the expression, we find \(z = \frac{169}{10}\).

Therefore, the critical point of the function is \((x, y, z) = \left(\frac{7}{10}, -2, \frac{169}{10}\right)\).

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Answer:

R=-4

Step-by-step explanation:

-3(2r+7)=3

-6r-21=3

-6r=24

r=-4

I hope this is correct and have a great day

p(A U B) = P(A) + P(B)

Cube = 1, 2, 3, 4, 5, 6

even = 2, 4, 6

Number greater than four = 5, 6

If A is the event that the number cube lands on an even number

Then P(A) = 3/6

If B represent the event that the number cube lands on a number greater than four,

Then P(B) = 2/6

p(A U B) = P(A) + P(B)

= 3/6 + 2/6

=5/6

Answer:

x ≤ 13 2/5 and y ≥ 6 2/3

Step-by-step explanation:

system of equations would be:

x + y ≤ 20

5x + 8y ≥ 120

if you solve this system you get the answer above

Answer:

I don't know but I am still answering

Step-by-step explanation:

The probability of choosing a full professor or a TA is 15/29 or 0.517

The probability of choosing a particular object is the number of ways that object can be chosen divided by the total number of objects in the group.

The total number of mathematics faculty members is:

4 (full professors) + 10 (associate professors) + 4 (assistant professors) + 11 (teaching assistants) = 29

The probability of choosing a full professor or a TA can be found by adding the probabilities of choosing a full professor and choosing a TA. The probability of selecting full professor is:

P(full professor) = 4/29

The probability of choosing a TA is:

P(TA) = 11/29

Therefore, the probability of choosing a full professor or a TA is:

P(full professor or TA) = P(full professor) + P(TA) = 4/29 + 11/29 = 15/29

So the probability of choosing a full professor or a TA is 15/29 or 0.517, which cannot be simplified any further.

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