Six students are working to simplify the expression shown. Drag each student’s answer to a box to show whether it is fully simplified equivalent to the given expression but not fully simplified, or not equivalent to the given expression.

The given set of data has a mean of 3.76 and a standard deviation of 4.97. We need to find the z-score for a value of 13.84.How to calculate the z-score The z-score is calculated using the formula:

z = (x - μ) / σWhere x is the value for which we need to find the z-score, μ is the mean, and σ is the standard deviation. Substituting the given values in the above formula, we get

z = (13.84 - 3.76) / 4.97z = 2.02 (approx) Therefore, the z-score for a value of 13.84 is approximately equal to 2.02.Note:In statistical inference, a Z-score is the number of standard deviations from the mean a data point is. With the help of Z-score, we can also find the probability that the data point would occur within the given population.

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Answer:

Step-by-step explanation:

First you get X. X has been given as 5 already so it is answered. Now finding Y.

Y=(5*5)-3

It is times 5 because x is 5.

Y=25-3

Y=22

Using the outside angles theorem, the measure of the ouside angle m1 is 50°

Outside angles theorem states that "the measure of an angle formed by 2 secants lines, 2 tangent lines, or a secant and a tangent line from a point outside of a the circle is half the difference of the measures of the intercepted arcs of the circle.

It is expressed as:

External angle = 1/2 × ( x - y )

From the diagram:

Arc intercept x = 140 degrees

Arc intercepy y = 40 degree

External angle m1 = ?

Plug these values into the above formula and solve for the outside angle:

External angle = 1/2 × ( x - y )

External angle = 1/2 × ( 140 - 40 )

External angle = 1/2 × ( 100 )

External angle = 50°

Therefore, angle m1 measure 50 degrees.

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Answer:

x = -3

Step-by-step explanation:

2x+3=x

=2x=x-3

=2x-x= -3

= x = -3

i hope this helps :)

Answer:

X=3

Step-by-step explanation:

2x-3=x

Answer:

87000

Step-by-step explanation:

Answer:

Honestly I'm not so sure, but I really want to help so I think it's either B or D.

Step-by-step explanation:

I'm sorry :(

On the survey of 25 randomly selected students from the entire student Population, estimate that approximately 186 students drive to school at Lincoln High.

(a) The best represents the entire student population, we want to ensure that the sample is as representative as possible. This means that the sample should have similar characteristics and proportions as the entire student population. the survey that would likely best represent the entire student population is the one where 25 students are randomly selected from the school itself (Option 1). This survey provides a random sample from the entire student population and is not limited to a specific group or grade level like the other options.

(b) If there are 1550 students at Lincoln High and we want to estimate the number of students who drive to school based on the survey in part (a), we can use proportional reasoning.

From the selected sample of 25 students, we know that 3 of them drive to school. To estimate the number of students who drive to school out of the entire student population, we can set up a proportion:

3/25 = x/1550.

Solving for x (the estimated number of students who drive to school), we can cross-multiply and solve for x

3 * 1550 = 25 * x.

4650 = 25x.

Dividing both sides by 25:

x = 186.

Therefore, based on the survey of 25 randomly selected students from the entire student population, we estimate that approximately 186 students drive to school at Lincoln High.

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Answer: The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. What is this? 

Step-by-step explanation: I would hope this helps! a picture would better help me understand your question!!

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

The parallel lines divide the sides proportionally, so ratios of corresponding sides are the same.

  (x +5)/15 = (5x +1)/35

Multiplying by 105, we have ...

  7(x +5) = 3(5x +1)

  7x +35 = 15x +3 . . . . . eliminate parentheses

  32 = 8x . . . . . . . . . subtract 7x+3 from both sides

  4 = x . . . . . . . . divide by 8

Answer: x=16

Step-by-step explanation:

\(2x+6=3x-10\)

Subtract 6 on both sides

\(2x+6-6=3x-10-6\)

\(2x=3x-16\)

Subtract 3x on both sides

\(2x-3x=3x-16-3x\)

\(-x=-16\)

Divide -1 on both sides

\(\frac{-x}{-1}=\frac{-16}{-1}\)

\(x=16\)

Answer:

-7

Step-by-step explanation:

If you use -7 the LHS will get cancelled.

x + 7 = 19

or, x + 7 - 7 = 19 - 7

or, x = 12

The area of the region between the graph of b lying above the t-axis and the t-axis represents the change in the amount of bacteria after t hours.

This area can be thought of as the accumulation of bacterial growth over a specific time interval. By calculating the area, we can determine the total increase in the number of bacteria during that period.

To understand this concept, consider the graph of b(t) where t represents the time in hours and b(t) represents the growth rate of bacteria in thousand organisms per hour. The area between the graph and the t-axis represents the total number of bacteria that have grown during the given time interval. Since the growth rate is measured in thousand organisms per hour, multiplying the growth rate by the number of hours gives us the total number of bacteria that have accumulated over that time.

For part (b), the units of measure are as follows: (i) The height and width of the region in part (a) have units of height = thousand bacteria and width = hours. This means that the vertical axis represents the number of bacteria in thousands, and the horizontal axis represents time in hours. (ii) The area of the region between the graph of b and the t-axis has units of thousand bacteria per hour. This represents the rate at which the bacteria population is growing over time. It tells us how many bacteria are being added per hour, on average, during the given time interval.

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Answer:40.157

Step-by-step explanation:

Answer:

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

The area of the photo is:

Area of the ad is:

Area of the photo is half the area of the entire ad:

Only positive root makes sense:

A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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The inverse function of\(f^{(-1)}(x) = (1/2)x - 3/2 is g(x) = 2x + 3\)

To find the inverse of a function, we typically swap the roles of the independent variable (x) and the dependent variable (y) and solve for y. In this case, we have\(f^{(-1)}(x) = (1/2)x - 3/2.\)

Let's follow the steps to find the inverse function:

Step 1: Swap x and y:

x = (1/2)y - 3/2

Step 2: Solve for y:

x + 3/2 = (1/2)y

2x + 3 = y

So, the inverse function g(x) is g(x) = 2x + 3.

To verify if g(x) is the inverse of f^(-1)(x), we can compose the functions:

\(f^{(-1)}(g(x)) = f^{(-1)}(2x + 3)\)

Using the definition of f^(-1)(x), we substitute (2x + 3) for x:

\(f^{(-1)}(2x + 3) = (1/2)(2x + 3) - 3/2\)

= x + (3/2) - (3/2)

= x

As we can see, \(f^{(-1)}(g(x))\) simplifies to x, which confirms that g(x) = 2x + 3 is indeed the inverse function of f^(-1)(x) = (1/2)x - 3/2.

In summary, the inverse function of \(f^{(-1)}(x) = (1/2)x - 3/2\) is g(x) = 2x + 3.

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Answer:

It's f-1(x)= 1/2x-3/2

Step-by-step explanation:

Edge 2020.

Answer:

To add fractions, find the LCD and then combine.

3/4 + (1/4−16)= −15

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

got it right on edge

Answer:

I think it's 6 or 0.6

The probability at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.

To determine the probability that at least 7 of the puppies will be male, we will have to use the binomial probability formula.

P(X ≥ k) = 1 - P(X < k)

where X is the number of male puppies, P is the probability of a puppy being male and k is the minimum number of male puppies required.

We can solve this problem by finding the probability that 0, 1, 2, 3, 4, 5, or 6 of the puppies are male, and then subtracting that probability from 1. We use the binomial distribution formula to find each of these individual probabilities.

P(X=k) = nCk * pk * (1-p)n-k

where n is the total number of puppies, p is the probability of a puppy being male (0.5), k is the number of male puppies, and nCk is the number of ways to choose k puppies out of n puppies. We'll use a calculator to compute each probability:

P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)

P(X = 0) = 11C0 * 0.5⁰ * (1-0.5)¹¹ = 0.00048828125

P(X = 1) = 11C1 * 0.5¹ * (1-0.5)¹⁰ = 0.00537109375

P(X = 2) = 11C2 * 0.5² * (1-0.5)⁹ = 0.03295898438

P(X = 3) = 11C3 * 0.5³ * (1-0.5)⁸ = 0.1171875

P(X = 4) = 11C4 * 0.5⁴ * (1-0.5)⁷ = 0.24609375

P(X = 5) = 11C5 * 0.5⁵ * (1-0.5)⁶ = 0.35595703125

P(X = 6) = 11C6 * 0.5⁶ * (1-0.5)⁵ = 0.32421875

P(X < 7) = 0.00048828125 + 0.00537109375 + 0.03295898438 + 0.1171875 + 0.24609375 + 0.35595703125 + 0.32421875 = 1 - P(X < 7) = 1 - 1.08184814453 = -0.08184814453 ≈ 0.0805

Therefore, the probability that at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.

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Answer:

If Nellie does not do her homework, the her dad does not take her out for ice cream

(if negative ~q, then negative ~p.)

Answer:

24p = 792

p = 33

The answer is 33 pages

It is about 1.657 times more probable to win a 6/48 lottery than a 6/52 lottery.

To find out how much more probable it is to win a 6/48 lottery than a 6/52 lottery, we need to compare their respective probabilities of winning.

The probability of winning a 6/48 lottery is given by the formula:

P(6/48) = C(6, 48) = 1/12271512

where C(6, 48) is the number of ways to choose 6 numbers out of 48.

Similarly, the probability of winning a 6/52 lottery is given by the formula:

P(6/52) = C(6, 52) = 1/20358520

where C(6, 52) is the number of ways to choose 6 numbers out of 52.

To find out how much more probable it is to win the 6/48 lottery than the 6/52 lottery, we can calculate their relative probabilities:

P(6/48) / P(6/52) = (1/12271512) / (1/20358520) ≈ 1.657

Therefore, it is about 1.657 times more probable to win a 6/48 lottery than a 6/52 lottery.

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If the correlation between two variables was equal to 0, the scatterplot between these two variables would be represented as a graphical representation of the relationship between two variables

If the correlation between two variables is equal to 0, it means that there is no linear relationship between the two variables. In other words, as one variable changes, the other variable does not systematically change in any particular direction.

In a scatterplot, which is a graphical representation of the relationship between two variables, this would be represented by a random scattering of data points with no discernible pattern or trend. The points would be evenly distributed throughout the plot, without any apparent clustering in one direction or another.

Additionally, the line of best fit, which is used to describe the overall trend of the data, would be a horizontal line with a slope of zero, indicating that there is no relationship between the two variables.

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Given:

Anna is three years older than Matthias.

Miss Smith is four times as old as Anna.

Mr Smith is five years older than his wife.

Together they are 72 years.

To find:

The age of each family member.

Solution:

Let age of Matthias be x years.

Anna is three years older than Matthias.

Anna's age = x+3

Miss Smith is four times as old as Anna.

Miss Smith's age = 4(x+3)

Mr Smith is five years older than his wife Mrs Smith.

Mr Smith's age = 4(x+3)+5

Together they are 72 years.

\(x+(x+3)+4(x+3)+[4(x+3)+5]=72\)

\(x+x+3+4x+12+4x+12+5=72\)

\(10x+32=72\)

Subtract 32 from both sides.

\(10x=72-32\)

\(10x=40\)

Divide both sides by 10.

\(x=4\)

Now,

Matthias's age = 4 years

Anna's age = 4+3

                  =  7 years

Miss Smith's age = 4(4+3)

                           = 4(7)

                           = 28 years

Mr. Smith's age = 4(4+3)+ 5

                          = 28+5

                          = 33 years

Therefore, the ages of Matthias, Anna, Miss Smith and Mr Smith are 4, 7, 28 and 33 respectively.

Therefore, the definite integral of f(x) over the given limits is ∫-3 6 f(x) dx = ∫-3 4 f(x) dx + ∫4 6 f(x) dx= 50 + 8= 58

Hence, the required answer is 58.

We are given a piecewise function and are asked to evaluate its definite integral. The function is defined as:f(x) = {4x if x < 4, if x ≥ 4We need to find the integral of this function over the given limits. Let's evaluate the integral:

∫-3 6 f(x) dx = ∫-3 4 f(x) dx + ∫4 6 f(x) dx

Now, we will evaluate the two integrals one by one:

∫-3 4 f(x) dx = ∫-3 4 4x dx [∵ f(x) = 4x for x < 4]

∫-3 4 f(x) dx = [2x²] from -3 to 4= [2(4)²] - [2(-3)²]∫-3 4 f(x) dx = 32 + 18= 50

Now, let's evaluate the second integral:

∫4 6 f(x) dx = ∫4 6 4 dx [∵ f(x) = 4 for x ≥ 4]∫4 6 f(x) dx = [4x] from 4 to 6= (6 x 4) - (4 x 4)∫4 6 f(x) dx = 8Therefore, the definite integral of f(x) over the given limits is:

∫-3 6 f(x) dx = ∫-3 4 f(x) dx + ∫4 6 f(x) dx= 50 + 8= 58

Hence, the required answer is 58.

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Answer:

X=20

Step-by-step explanation:

(3x+10)+(6x-10)=180

9x=180

180/9=20

X=20

Answer:

(a.) B: 8,000

(b.) C: 800

(c.) A. 10 times

Step-by-step explanation:

8762 has 3 digits after the 8. 8,000 has 3 digits after the 8

851 has 2 digits after the 8. 800 has 2 digits after the 8.

8,000 ÷ 800 = 10

Another way to do it is: 8000 has 3 zeros and 800 has 2 zeros.

3 - 2 = 1. 10 has 1 zero.

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