give an example of poor study design due to selection bias

Answer:

2.3

Step-by-step explanation:

6.1 =0.8+0.8+x+x

6.1=1.6 +2x

6.1-1.6 = 2x

4.5/2=2x/2

x=2.25

x=2.3

In the above question, a mathematical equation is given as follows:

891 +465 = ?

We need to solve to find the value of N

First, we'll remove all the ones from the values to get the values in tens form only to get the addend

891 - 1 = 890

465 - 5 = 460

The sum of all the one's values is

1 + 5 = 6

Now we'll add the tens values, we get

890 + 460 = 1350

Now to get the value of N we'll add the ones and tens sum together

N = one's sum + tens sum

N = 6 + 1350 = 1356

To verify the solution we'll add the given equation as it is, we get

891 + 465 = 1356

Hence, this is the final answer

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Step-by-step explanation:

Step 1:  Add 13x to both sides

\(x^2 + 13x = -13x + 13x - 4\)

\(x^2 + 13x = -4\)

Step 2:  Add 4 to both sides

\(x^2 + 13x + 4 = -4 + 4\)

\(x^2 + 13x + 4\)

Step 3:  Use Quadratic Formula

\(x = \frac{ -b \pm \sqrt{ b^2 - 4ac } }{2a}\)

\(x = \frac{ -(13) \pm \sqrt{ 13^2 - 4(1)(4)} } { 2(1)}\)

\(x = \frac{-13 \pm \sqrt{153}}{2}\)

\(x = \frac{-13\pm3\sqrt{17} }{2}\)

Answer:  \(x = \frac{-13\pm3\sqrt{17} }{2}\)

Answer:

-0.3 and - 12.7

Step-by-step explanation:

Rewrite in quadratic form:

x2 + 13x + 4 = 0

The best approximations, given the options, are 0 and - 13

The actual solution is -

Answer:

12. 30

13. 3

Step-by-step explanation:

To calculate the approximate APR for Tory's bike purchase, we need to use the formula for simple interest:

Interest = Principal x Rate x Time
Here, the principal is $149 and the finance charge is $45, making the total amount financed $194. Tory paid over eight months, so the time is 8/12 or 0.67 years.
Using the formula, we can solve for the rate:

$45 = $194 x Rate x 0.67
Rate = $45 / ($194 x 0.67)
Rate = 0.357 or 35.7%
Therefore, the approximate APR for Tory's bike purchase is 35.7%.

None of the answer choices provided match the exact percentage, but the closest is 38.2%, so that would be the best choice.

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Answer:

$36.4

Step-by-step explanation:

28*.30= 8.4

28+8.4=36.4

Answer:

free throw

Step-by-step explanation:

60% is equal to .6 which is bigger than .345

The solution of the exponent equation \(\rm 4 \times (10^{-3x})=18\) will be negative 0.2177.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

\(\rm 4 \times (10^{-3x})=18\)

Simplify the equation, then we have

\(\begin{aligned} \rm 4 \times (10^{-3x}) &=18\\\\\rm (10^{-3x}) &=4.5 \end{aligned}\)

Take a log with base 10 on both sides, then we have

- 3x log₁₀ 10 = log₁₀ 4.5

- 3x = 0.6532

x = -0.2177

The solution of the exponent equation \(\rm 4 \times (10^{-3x})=18\) will be negative 0.2177.

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Given that Owen has $1.05 in dimes and nickels. He has 3 more dimes than nickels. We are to find out how many coins of each type he has.Let us assume that Owen has x nickels.

he has x+3 dimes.Since the value of each nickel is $0.05, thus, the value of x nickels is 0.05x dollars.Since the value of each dime is $0.10, therefore, the value of (x+3) dimes is 0.10(x+3) dollars.Owen has a total of $1.05 which can be written as 105 cents.

The total number of coins is the sum of the number of nickels and the number of dimes.1. Therefore, the equation is

5x + 10(x+3) = 105.2.

Simplify the equation:5x + 10x + 30 = 10515x = 75x = 5O

wen has 5 nickels.3. Owen has x+3 dimes.

Since x = 5, then he has 5+3 = 8 dimes

.Owen has 5 nickels and 8 dimes.

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Based on the rounded measurements, none of the given statements could be true.

Based on the rounded measurements provided:

Width = 9 feet

Length = 15 feet

Let's evaluate each statement:

A) The actual width of the floor is 8 feet 4 inches.

Since the rounded width is 9 feet, it is not possible for the actual width to be 8 feet 4 inches. So, statement A is not true.

B) The actual length of the floor is 15 feet 5 inches.

Since the rounded length is 15 feet, it is not possible for the actual length to be 15 feet 5 inches. So, statement B is not true.

C) The actual area of the floor is 149.5 square feet.

To calculate the area of the floor, we multiply the width and length: 9 feet * 15 feet = 135 square feet. Since the rounded measurements were used, the actual area cannot be 149.5 square feet. So, statement C is not true.

D) The actual perimeter of the floor is 44 feet 10 inches.

To calculate the perimeter of the floor, we add up the four sides: 2 * (9 feet + 15 feet) = 2 * 24 feet = 48 feet. Since the rounded measurements were used, the actual perimeter cannot be 44 feet 10 inches. So, statement D is not true.

Based on the rounded measurements, none of the given statements could be true.

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Answer:

B. Combine like terms

Step-by-step explanation:

Inside the parenthesis, they combined -2 and 6 to get a total of 4x

Answer:

1, 2, and 8

Step-by-step explanation:

Answer: 16/25

Step-by-step explanation:

Answer:

The answer is 16/25

Step-by-step explanation:

Since the original scale factor was 4/5 then you would need to square four and five in order to get the new scale factor.

When you square 4 you get 16 and when you square 5 you get 25. Therefore the answer should be 16/25.

*I also got it right on the edge quiz

The probability of obtaining 126 or more individuals with the characteristic, P(p ≥ 0.63) is 0.5.

The binomial distribution is used to approximate the probability.

The mean of the binomial distribution is np is 200 * 0.63

mean = 126

The standard deviation is √(np(1-p)) = √(200 * 0.63 * 0.37)

standard deviation = 5.18.

Standardize the random variable p as follows:

z = (x - μ) / σ

z = (126 - 126) / 5.18 = 0

Using a calculator to find the probability of z being greater than or equal to 0, the given probability is 0.5.

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Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

Option 2. That is the best option for this problem

False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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Answer:

a) 5y²

Step-by-step explanation:

5 divided by 1 is still 5

y^5/y^3 subtract the exponents since the base is the same

Answer:

a) 5y²

Step-by-step explanation:

5y⁵ / y³ = 5y⁵⁻³ = 5y²

a) 5y²

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

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An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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The equation of the trend line is given as follows:

y = 1.33x + 20.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

Two points on the line in this problem are given as follows:

(0, 20) and (15, 40).

When x = 0, y = 20, hence the intercept b is given as follows:

b = 20.

When x increases by 15, y increases by 20, hence the slope m is given as follows:

m = 20/15

m = 1.33.

Hence the function is given as follows:

y = 1.33x + 20.

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Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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Answer:

22

Step-by-step explanation:

Use a proportion.

30/15 = 44/x

30x = 15 × 44

2x = 44

x = 22

Answer:

22

Step-by-step explanation:

30 miles/ 15 sessions of tract practice

Per practice Jack is running a total of 2 miles.

So 44 miles/2 miles

22 sessions of track practice

Answer:

x = -1/4

Step-by-step explanation:

(6x+1) x 6 = 12x Cross multiply

36x + 6 = 12x

36x + 6 - 6 = 12x - 6 Subtract -6 from both sides

36x = 12x - 6

36x - 12x = 12x - 12x -6 Subtract 12x from both sides to get only one number with x

24x = -6

24x/24 = -6/24 Divide both sides by 24 to get x alone

x = -1/4

Answer:

8/9

Step-by-step explanation:

you will add 4 to both sides and minus 14x from both sides making it 18x= 16 divided 18 from both sides with will be 16/18 but simplify it and it will be 8/9

Answer:

8

9

Step-by-step explanation:

Answer:

2700

Step-by-step explanation:

*6*10*9/4!*4*4*6*5/4!

Answer:

11. A) x = 2 .    B) x=-1 .   C) x = 0

12. A) y = 20 . C) y = -3 . D) y = 0

Step-by-step explanation:

When the line is vertical, take the x coordinate

When the line is horizontal, take the y coordinate

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