What function g describes the graph of f after the given transformations?
f(x) = |x|+7; reflected across the x-axis and translated 4 units up.

Hill's Criteria of Strength is the only criteria that must be met 100% for a causal relationship to be possible.

The Criteria of strength is Hill's first test for causation. He stated that the likelihood of an association being causative increases with the size of the connection between exposure and disease. Hill used Percival Pott's investigation into the prevalence of scrotal cancer in chimney sweeps to highlight this issue. Since the correlation between that occupation and sickness was so strong (almost 200 times more than in other jobs), it was concluded that chimney soot was probably a contributing factor. On the other hand, Hill argued that minor connections are less indicative of causation since they are more likely to be explained by other underlying factors (such as bias or confounding).

To evaluate possibly causative associations, it is essential to define what is meant by a "strong" correlation. Scientists may now distinguish between strong and weak associations using more mathematically sound criteria than Hill had in mind because of developments in statistical theory and computing capacity. Strength is no longer just understood as an association's magnitude. Furthermore, multi-factorial disorders and the existence of determinant risk variables that are tiny in magnitude but statistically significant have received more attention from researchers. The recognized standard for determining the strength of an observed correlation and, hence, its potential causation, is statistical significance today rather than the magnitude of the association.

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Answer:

Step-by-step explanation:

6x-12y

trust me

Answer:

9x-7y-3x-5y

= 6x-12y

Step-by-step explanation:

9x and -3x are like terms as they both are "x" values

-7y and -5y are like terms as they both are "y" values

To receive the x value you subtract 3x from 9x giving you 6x

To receive the y value you subtract -5y from -7y giving you -12y

Hope that helps (:

Answer:

Micah is incorrect, 50% of hs students could drive and 50% of college students could drive.

Step-by-step explanation:

The largest amount of money she could have is: (3 x 25 cents) + (3 x 10 cents) + (2 x 5 cents) = 75 cents + 30 cents + 10 cents = 115 cents or $1.15.

To find the largest amount of money Tasha could have with 8 coins in her pocket, we need to consider the different combinations of coins she could have. Since she has no more than 3 of any coin, the possibilities are:

- 3 quarters, 2 dimes, 1 nickel, 2 pennies = $0.81
- 3 quarters, 2 dimes, 2 nickels, 1 penny = $0.80
- 3 quarters, 2 nickels, 3 pennies = $0.78
- 3 quarters, 1 dime, 3 nickels, 1 penny = $0.76
- 3 quarters, 1 dime, 2 nickels, 3 pennies = $0.74
- 3 quarters, 1 dime, 1 nickel, 4 pennies = $0.73
- 2 quarters, 3 dimes, 1 nickel, 2 pennies = $0.70
- 2 quarters, 3 dimes, 2 nickels, 1 penny = $0.69
- 2 quarters, 2 dimes, 3 nickels, 1 penny = $0.68
- 2 quarters, 2 dimes, 2 nickels, 2 pennies = $0.67

Therefore, the largest amount of money Tasha could have is $0.81 with 3 quarters, 2 dimes, 1 nickel, and 2 pennies.

To maximize the amount of money Tosha could have with 8 coins and no more than 3 of any coin, she should carry the coins with the highest denominations. In this case, she can have 3 quarters (25 cents each), 3 dimes (10 cents each), and 2 nickels (5 cents each). The largest amount of money she could have is:

(3 x 25 cents) + (3 x 10 cents) + (2 x 5 cents) = 75 cents + 30 cents + 10 cents = 115 cents or $1.15.

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The given statement is FALSE.

If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.

When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.

When you have a skewed distribution, the median is a better measure of central tendency than the mean

The median and mean can only have one value for a given data set. The mode can have more than one value

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The initial number of dice rolled = 1000

What is exponential modeling?

Based on an equation like where Y = deterioration, T = time, and A and B = parameters to be calculated by the regression approach based on historical data, the exponential model represents the degradation failure process.

Here,

Linear models are used when a phenomenon is changing at a constant rate whereas exponential models are used when a phenomenon is changing in a way that is quick at first, then more slowly, or slow at first and then more quickly. This is the defining characteristic of the exponential model.

(a)

dice(n) = 1000 × (−0.138629436ln)........... (1)

The initial number of dice rolled when n=0

Putting n=0 in (1),

dice(0) = 1000e(0) = 1000

Hence, the initial number of dice rolled = 1000

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Answer:

$100

Step-by-step explanation:

The bottom row is how many mph the driver is over, the left row is how much it costs per mph over. Since 62mph in a 55mph zone is 7mph over, you go the 7 on the bottom, and go up until you get to the point, then see what the number on the left is. In this case, it would be 100. So therefore the fine is $100.

Answer:

The change of tempature

Step-by-step explanation:

The absolute value is 5, so that means the change is 5

Answer:

Step-by-step explanation:

2) \(\overline{AD} \cong \overline{AD}\) (reflexive property)

3) \(\triangle ABD \cong \triangle ACD\) (AAS)

4) \(\angle BAD \cong \angle CAD\) (CPCTC)

5) \(\overline{AD}\) bisects \(\angle BAC\) (if a segment splits an angle into two congruent parts, it is an angle bisector)

The solutions to the system of equations are: (-1, 0) and (1/4, 25/16).

To solve the system of equations:

y = -3x² - x + 2   (Equation 1)

y = x² + 2x + 1    (Equation 2)

We can set the two equations equal to each other since they both equal y:

-3x² - x + 2 = x² + 2x + 1

Let's rearrange this equation and solve for x:

-3x² - x + 2 - x² - 2x - 1 = 0

Combine like terms:

-4x² - 3x + 1 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our quadratic equation -4x² - 3x + 1 = 0, the coefficients are: a = -4, b = -3, and c = 1.

Substituting these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(-4)(1))) / (2(-4))

Simplifying further:

x = (3 ± √(9 + 16)) / (-8)

x = (3 ± √25) / (-8)

x = (3 ± 5) / (-8)

This gives us two potential solutions for x:

1. x = (3 + 5) / (-8) = 8 / (-8) = -1

2. x = (3 - 5) / (-8) = -2 / (-8) = 1/4

Now that we have the x-values, we can substitute them back into either Equation 1 or Equation 2 to find the corresponding y-values.

Using Equation 1: y = -3x² - x + 2

For x = -1:

y = -3(-1)² - (-1) + 2

y = -3 + 1 + 2

y = 0

For x = 1/4:

y = -3(1/4)² - (1/4) + 2

y = -3/16 - 1/4 + 2

y = -3/16 - 4/16 + 32/16

y = 25/16

Therefore, the solutions to the system of equations are:

(-1, 0) and (1/4, 25/16)

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Answer: 38 pounds

Step-by-step explanation: School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Answer:

A = $20,940

Step-by-step explanation:

Interest = Principal x Rate x Time

I = prt

I = 15000(.018)(22)

I = 5940

Interest = $5,940

Total Amount = Principal + Interest

A = P + I

A = 15000 + 5940

A = 20940

Answer:

x = 10.8

Step-by-step explanation:

9 ÷ x = x ÷ (9 + 4)

9 × (9 + 4) = x × x

9 × 13 = x²

117 = x²

x = 10.81665383

The R2 value of 25.56% indicates that approximately a quarter of the variability in BMI can be explained by the minutes spent exercising, suggesting a moderate relationship between the two variables.



The correct interpretation of the R2 value in this context is option B: 25.56% is the percent variability of BMI explained by minutes spent exercising.

R2, also known as the coefficient of determination, represents the proportion of the dependent variable's (BMI) variability that is explained by the independent variable (minutes spent exercising). In this case, the R2 value of 25.56% indicates that approximately 25.56% of the variability observed in BMI can be explained by the amount of time clients spend exercising.

It's important to note that R2 is a measure of how well the independent variable predicts the dependent variable and ranges from 0 to 1. A higher R2 value indicates a stronger relationship between the variables. However, in this case, only 25.56% of the variability in BMI can be explained by exercise minutes, suggesting that other factors may also contribute to the clients' BMI.

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Answer:

d < -3

Step-by-step explanation:

2.5d+11.4<-1.3d

3.8d+11.4<0

3.8d<-11.4

d < -3

Just isolate and solve for x and remember, what you do to one side, you must do to the other.

Hope this helps!

Answer:

\(d < -3\)

Step-by-step explanation:

Move the constant to the right-hand side and change its sign:

\(2.5d < - 1.3d - 11.4\)

Move the variable to the left-hand side and change its signs:

\(2.5d + 1.3d < 11.4\)

Collect like terms:

\(3.8d < - 11.4\)

Divide both sides of the inequality by 3.8:

\(3.8 \div - 11.4 = - 3\)

Therefore, the answer is d < -3.

Step-by-step explanation:

If <y=A

In this case 360-25=335

b. The correlation coefficient for this data-set is given as follows: r = -0.9877.

c. The correlation between the variables x and y is strong negative.

The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:

A data-set is composed by a set of points, and these points are inserted into a correlation coefficient calculator to obtain the coefficient.

From the table described in this problem, the points are given as follows:

(1, 9), (2, 7), (3,6), (4, 1), (7, -2), (8, -5) and (10, -8).

Inserting these points into a calculator, the coefficient is given as follows:

r = -0.9877.

Hence it is a negative and strong relationship, as the absolute value of r is of 0.9877 > 0.6.

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Answer:

1/5

Step-by-step explanation:

\(\lim_{x->4} \frac{x-4}{x^{2}-3x-4 } \\= \lim_{x->4} \frac{x-4}{(x+1)*(x-4) } \\\\= \lim_{x->4} \frac{1}{(x+1) } \\\\\\\)

lim x->4   plug in x=4

1/(x+1) = 1/(4+1) = 1/5

Answer:

hey queen

Step-by-step explanation:

Answer:

hey sisters!!!!!!

Step-by-step explanation:

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{40}~,~\stackrel{y_1}{30})\qquad (\stackrel{x_2}{100}~,~\stackrel{y_2}{75}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{75}-\stackrel{y1}{30}}}{\underset{\textit{\large run}} {\underset{x_2}{100}-\underset{x_1}{40}}} \implies \cfrac{ 45 }{ 60 } \implies \cfrac{ 3 }{ 4 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{30}=\stackrel{m}{ \cfrac{ 3 }{ 4 }}(x-\stackrel{x_1}{40}) \\\\\\ y-30=\cfrac{ 3 }{ 4 }x-30\implies {\Large \begin{array}{llll} y=\cfrac{ 3 }{ 4 }x \end{array}}\)

Answer:

i think its d

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The value of the missing length is c = √181

From the question, we have the following parameters that can be used in our computation:

Legs = 9 and 10

Hypotenuse = c

The missing length of the triangle can be calculated using the Pythagorean Theorem represented as a​² + b² = c²​

So, we have the following equation

c² = 9² + 10²

Evaluate the sum of squares

c² = 181

Take the square root of both sides

c = √181

Hence, the missing length is c = √181

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Olivia's height is approximately 97.47 inches, Addy's height is approximately 100.47 inches, and Maggie's height is approximately 85.15 inches.

Let's denote Olivia's height as x inches.

According to the given information, Addy is three inches taller than Olivia, so Addy's height is x + 3 inches.

Maggie's height is 7/8 of Olivia's height, so Maggie's height is (7/8)x inches.

The sum of their heights is 187 inches, so we can write the equation:

x + (x + 3) + (7/8)x = 187

To solve this equation, we need to simplify and combine like terms:

x + x + 3 + (7/8)x = 187

(15/8)x + 3 = 187

(15/8)x = 187 - 3

(15/8)x = 184

To isolate x, we can multiply both sides of the equation by the reciprocal of (15/8), which is (8/15):

((8/15) * (15/8))x = (184 * (8/15))

x = (1472/15)

The solution to the equation is x = 97.47 inches.

This represents Olivia's height.

Using this value, we can find the heights of Addy and Maggie:

Addy's height = Olivia's height + 3 = 97.47 + 3 = 100.47 inches

Maggie's height = (7/8) * Olivia's height = (7/8) * 97.47 = 85.15 inches

Therefore, Olivia's height is approximately 97.47 inches, Addy's height is approximately 100.47 inches, and Maggie's height is approximately 85.15 inches.

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We can actually deduce here that the equation that represents the axis of symmetry for the parabola shown is: x=10.

A parabola is actually known to be the equation of a curve seen in a graph which is used to represent a point on the curve that is equidistant to a fixed point.

Axis of symmetry is known as the line that actually divides something into two equal halves. When this line divides, it actually creates a mirror-like reflection.

We see that where the axis of symmetry divides the parabola is at x=10.

Thus, the axis of symmetry for the parabola is x = 10 as seen in the given graph.

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The property illustrated by the equation 2x(x - 9) = 2x² - 18x is distributive property.

The correct answer option is option D.

The distributive property states that equality of expression holds after distributing with multiplication.

For instance,

a(b + c) = ab + ac

2x(x - 9)

= 2x² - 18x

Therefore, the equality property which can be used to illustrate the equation 2x(x - 9) = 2x² - 18x is distributive property.

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Answer:

Distributive Property

The formula for calculating percent recovery is

Percent recovery = (mass of purified compound obtained / mass of original compound) x 100

Percent recovery is an important parameter used in recrystallization to determine the efficiency of a purification process. It refers to the percentage of the original material that is recovered after the recrystallization process.

To calculate percent recovery, first, the mass of the original sample is measured before the recrystallization process. After the process is completed, the mass of the purified compound is measured, which is obtained from the recrystallization.

The mass of the purified compound is then divided by the mass of the original compound and multiplied by 100 to get the percent recovery. A high percent recovery indicates that the recrystallization process was successful in separating the target compound from the impurities, and the final product is relatively pure.

A low percent recovery may indicate that the recrystallization process was not efficient in separating the target compound from impurities, or that some of the target compound was lost during the process. Thus, percent recovery is a crucial parameter that determines the success of a recrystallization process.

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Complete question is:

How do you calculate percent recovery during recrystallization?

The appropriate probability distribution for the number of machines that will break down in a day is the binomial distribution because there are only two possible outcomes for each machine - it either breaks down or it doesn't, and the probability of a machine breaking down is constant at 0.1. Therefore, the number of machines that break down in a day follows a binomial distribution with parameters n = 6 (number of machines) and p = 0.1 (probability of a machine breaking down).

To compute the probability that exactly 3 machines will break down, we can use the binomial probability formula:

P(X = 3) = (6 choose 3) * (0.1)^3 * (0.9)^3

= 0.0153 (rounded to four decimal places)

To compute the probability that at least 2 machines will break down, we can use the complement rule and find the probability that 0 or 1 machine will break down, and then subtract this from 1:

P(X >= 2) = 1 - P(X = 0) - P(X = 1)

= 1 - (0.9)^6 - 6 * 0.1 * (0.9)^5

= 0.4572 (rounded to four decimal places)

To find the expected number of machines that will break down in a day, we can use the formula for the mean of a binomial distribution:

E(X) = np

= 6 * 0.1

= 0.6

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D(t)= 6sin (pi/5t) + 10

General form:

y = A sin (Bx +C) +D

Where:

A = amplitude

D= vertical shift

C = phase shift B= period

For the given function:

Amplitude = 6

Phase shift = 10

The bottom graphs are Cosine functions, so they are not.

Among the top ones, The first one has an amplitude of 6 and the second one has an amplitude of 3 .

Correct answer:

Answer:

The mean of the data set is 9.3 rounded to the nearest tenth

Step-by-step explanation:

First you add them all together: 9.9 + 10.8 + 10.8 + 6.2 + 10.8 + 7.2 = 55.7

Then you divide it by how many numbers there are which is 6 in this situation:

55.7 ÷ 6 = 9.28333333333. but if we round it to the nearest tenth we get 9.3

So the answer is 9.3