14 – 2u = -12
Solve for u

True. The Empirical Rule, also known as the 68-95-99.7 Rule, assumes that the distribution of data follows a normal curve, which is symmetrical and bell-shaped.

The Empirical Rule is a useful tool for understanding the spread of data in a normal distribution. A normal distribution is a symmetrical, bell-shaped distribution that is characterized by its mean, median, and mode. The mean is the average of all the data, the median is the middle value, and the mode is the most frequently occurring value.

According to the Empirical Rule, approximately 68% of the data falls within one standard deviation of the mean. This means that if you have a normal distribution, and you know the mean and standard deviation, you can estimate that 68% of the data will be within one standard deviation above and below the mean. For example, if the mean of a distribution is 100 and the standard deviation is 10, then 68% of the data will be between 90 and 110.

It's important to note that the Empirical Rule is only applicable to data that follows a normal distribution. In other words, if your data is not normally distributed, the Empirical Rule may not provide an accurate representation of the spread of your data.

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The study is most likely attempting to establish is Criterion validity and the study featured a(n) scale of measurement is Ordinal scale.

10). The study is most likely attempting to establish is: By criterion validity.

Criterion validity measures how well one measure predicts the outcome for another measure.

Here, we are judging how well the scores on the employment test predict the performance of the person.

Nominal Scale: This scale is used to assign labels to variables that have no numerical values.

For eg : Gender (male and female) , colour (brown blue black white)

Ordinal scale: It matters how the values are arranged, but it makes no difference how much they differ.

For eg: 1: Food applications rated from 1 to 5, 5 being the best. If a app is rated as 2 and other is rated as 4 does not mean the later is twice as good as the first.

Interval scale: An interval scale is a numerical scale where the order and size of the difference between the numbers are known. Absolute zero does not indicate absence in an interval scale, it only means there is no value.

For eg: Temperature in degree Celsius. If T1=5o Celsius  and T2=15o Celsius this means is a temperature difference of 10o , but with T3=0o does not mean there is no temperature.

Ratio scale: The ratio scale is another numerical scale where the order and size of the difference between the values are known, and where absolute zero denotes the absence of values.

For eg: Salary of people

11). The study featured a(n)scale of measurement is: By ordinal scale

We will rank the chairs on a scale where order counts and the size of the difference is not particularly significant.

Hence, for 10th the option A is correct and for 11th the option B is correct.

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The sample consists of 949 elderly people and the population is all elderly people.

A sample is a random group chosen to represent the complete population. Based on the characteristics of the sample, conclusions about the population are drawn in statistical analysis. The complete collection of people or objects of interest is referred to as a population. It is the collection of all components or individuals who share a characteristic, such as all seniors or all depressed individuals. Usually, the sample size is larger than the population size.

According to research, depression considerably raises the risk of dementia in a given situation. Consider the possibility that research of 949 senior people found that 22% of those who experienced depression went on to develop dementia, compared to only 17% of those who did not. As a result, the population is made up entirely of the elderly, and the sample consists of 949 of them.

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Answer:

b=1/4a+1

Step-by-step explanation:

Step 1: Add -2b to both sides.

2a+6b−4+−2b=3a+2b+−2b

2a+4b−4=3a

Step 2: Add -2a to both sides.

2a+4b−4+−2a=3a+−2a

4b−4=a

Step 3: Add 4 to both sides.

4b−4+4=a+4

4b=a+4

Step 4: Divide both sides by 4.

4b/4 = a+4/4

b=1/4a+1

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Hope this helps.

Answer:

the answer is A

Step-by-step explanation:just took the test

The critical points of the given plane autonomous system cannot be classified.

The given plane autonomous system is described by the equations x' = 2x - y^2 and y' = -y + xy. To classify the critical points, we need to find the points where both x' and y' are equal to zero.
Setting x' = 0 and y' = 0, we have the following system of equations:
2x - y^2 = 0
-y + xy = 0
To find the critical points, we solve this system of equations simultaneously. However, it is not possible to find specific values for x and y that satisfy both equations. The system does not have a unique solution.
Without specific values for x and y, we cannot determine the stability of the critical points. Stability analysis typically involves evaluating the Jacobian matrix and its eigenvalues at each critical point to determine the type of behavior (stable, unstable, spiral, saddle, etc.).
In this case, since the critical points cannot be determined, it is not possible to classify them as a stable node, a stable spiral point, an unstable spiral point, an unstable node, or a saddle point.

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Answer:21

Step-by-step explanation:

you draw a line so there a grid measured 5 by 3 and a grid measured 2 by 3.

Answer:

the answer is the second choice.

Step-by-step explanation:

in order for the pair to be a function the x-values cannot be repeated.

Answer:

the correct answer is A

Step-by-step explanation:

Answer:

it can be written as 6/1 divided by 1/2

then you'll use the keep, switch, flip method. keep 6/1, switch division to multiplication, and flip 1/2 to become 2/1 or 2

now your equation is 6 x 2 = 12

Julio did 6 divided by 2. which could've been fixed if he changed the division sign to multiplication and multiplied

The limit is: lim t → [infinity] t (t^2)/(9t - t^2) = 8

To find the limit of the expression as t approaches infinity, we can use the concept of asymptotes and dominant terms.

First, we can simplify the expression by factoring out t^2 from the numerator:

t^2(9 - 1)

Simplifying the expression further, we get:

8t^2 / t^2

which simplifies to:

8

Therefore, the limit of the expression as t approaches infinity is 8.

So, the answer is:

lim t → [infinity] t (t^2)/(9t - t^2) = 8

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Answer:

bzgsbbzhhwbdvbdzggdexhjdi

Answer:

361 out of 400 is 90.25%

Step-by-step explanation:

The correct equation of the linear graph is; y = 1/2x - 3

Linear graph is usually represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

From the given graph, we can tell that the y-intercept is c = -3

Now, the slope will be calculated with two coordinates using the formula;

m = (y2 - y1)/(x2 - x1)

Coordinates are (2, -2) and (4, -1)

m = (-1 - (-2))/(4 - 2)

m = 1/2

Thus, equation is;

y = 1/2x - 3

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Barbara can buy a combination of earrings and necklaces with a total cost of no more than $144. We need to determine how many of each item she can buy within her budget.

Let's assume Barbara buys x earrings and y necklaces. The cost of earrings will be 12x, and the cost of necklaces will be 24y. According to the problem, the total cost must be no more than $144, so we have the inequality:

12x + 24y ≤ 144

To find the possible combinations, we can test different values of x and y that satisfy this inequality. Since we want to maximize the number of items Barbara can buy, we can start by setting x and y to their maximum possible values.

The maximum number of earrings Barbara can buy is 144/12 = 12 pairs. The maximum number of necklaces she can buy is 144/24 = 6 necklaces.

By trying different combinations within these limits, we find that Barbara can buy 0 earrings and 6 necklaces, spending a total of $144, or she can buy 6 earrings and 0 necklaces, also spending a total of $144.

Therefore, Barbara can either buy 6 necklaces or 6 earrings within her budget of $144.

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Answer:

1.875 or 1.9 mi/h

Step-by-step explanation:

2.50 miles in 45 minutes

2.50-25%=1.875

Answer: The flower grew  0.88 inches during the week

Step-by-step explanation:

Height of flower in the previous week = 3.25 inches

Height of flower the next week = 4.125inches

height the flower added during the week = 4.125 inches - 3.25inches

=0.875 inches

Rounding to the nearest hundredths becomes 0.88 inches

Answer:

5:3

Step-by-step explanation:

The confidence interval for the sample proportion is \(CI = 0.16 \pm 0.0545\)

The formula for calculating the confidence interval for proportion is expressed as:

\(p \pm z\sqrt{p(1-p)/n\)

p is the proportion

z is the z score at 99% interval

n is the sample size

Given the following parameters

\(p=\frac{47}{300} = 0.16\\z=2.576\\n=300\)

Substitute the values

\(CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545\)

Hence the confidence interval for the sample proportion is \(CI = 0.16 \pm 0.0545\)

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b. Linear programming model is the correct option.

A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.

The constraints are represented by the inequalities:

3M + 2S ≤ 15

2M + 4S ≤ 18

These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.

Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.

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Answer:

$5.25

Step-by-step explanation:

3 + .75(3)

3 + 2.25

5.25

Answer:

Gabe worked for 6 2/3 hours and Paula worked for 4 hours.

Step-by-step explanation:

It is given that,

Diana worked on her science project for 5 1/3 hours.

Gabe worked on his science project 1 1/4 times as long as Diana.

Paula worked on her science project 3/4 as long as Diana.

Solution,

ATQ,

Gabe worked for :

\(5\dfrac{1}{3}\times 1\dfrac{1}{4}\\\\=\dfrac{16}{3}\times \dfrac{5}{4}\\\\=\dfrac{20}{3}\ h\\\\=6\dfrac{2}{3}\ h\)

Pauls worked for :

\(\dfrac{3}{4}\times 5\dfrac{1}{3}\\\\=\dfrac{3}{4}\times \dfrac{16}{3}\\\\=4\ h\)

Hence, Gabe worked for 6 2/3 hours and Paula worked for 4 hours.

Answer:

A. rise = 4, run = 1, slope = 4

B. rise = 8, run = 2, slope = 4

C. A (Yes, they are equal because similar)

Step-by-step explanation:

i hope this is right

Answer:

a) 75/3=25/1

Step-by-step explanation:

Answer:

q = p + r + 3s

Step-by-step explanation:

q - r - 3s = p solve for q

q - r - 3s = p

add r to both sides:

q - r - 3s + r = p + r

q - 3s = p + r

add 3s to both sides:

q - 3s + 3s = p + r + 3s

q = p + r + 3s

The hair stylist charges $35 for a haircut and $55 for a coloring treatment.

Let's use h to represent the price of a haircut, and c to represent the price of a color treatment.

From the problem, we can set up the following system of equations:

5h + 3c = 340

2h + 6c = 400

We can use the elimination method to solve for h and c. First, let's multiply the first equation by 2 and the second equation by -5 to get rid of h:

10h + 6c = 680

-10h - 30c = -2000

Adding the two equations together, we get:

-24c = -1320

Dividing both sides by -24, we get:

c = 55

Now we can substitute c = 55 into either equation to solve for h. Let's use the first equation:

5h + 3c = 340

5h + 3(55) = 340

5h + 165 = 340

5h = 175

h = 35

So the hair stylist charges $35 for a haircut and $55 for a coloring treatment.

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Answer:

14

Step-by-step explanation:

14

A polynomial with the given zeros can be written as:

P(x) = x^3 - 6x^2 - 27x

If we have a polynomial of degree N with the given N zeros:

{x₁, x₂, ..., xₙ}

Then we can write that polynomial as:

P(x) = (x - x₁)*(x - x₂)*...*(x - xₙ)

In this case we know that the degree is 3, and the zeros are:

{-3, 0, 9}

Then we can write that polynomial as:

P(x) = (x + 3)*(x - 0)*(x - 9)

Expanding that we will get:

P(x) = (x^2 + 3x)*(x - 9)

P(x) = x^3 + 3x^2 - 9x^2 - 27x

P(x) = x^3 - 6x^2 - 27x

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Answer:

A. 24 in

Step-by-step explanation:

Because side GF was multiplied by 4, the rest can be calculated in that same manner.

Answer:

Step-by-step explanation:

Find the scale factor first.

The ratio of corresponding sides:

This is same for other sides:

Correct choice is A

Dimensions of the rectangular plot are 25' × 50'.

The area of a rectangular plot is 1250m.

What is the dimension of the rectangle?

Four perpendicular sides make up the two-dimensional geometric shape of a rectangle. Two of the four sides are distinct, and the other two resemble the distinctive sides. The dimensions of a rectangle are these two distinctive sides.

Here, we have

100 meters fencing

We have to find the dimensions and area of the rectangular plot.

so, 2x + y = 100

y = 100 - 2x

A = xy

A = x (100 - 2x)

A = 100x - 2x²

We differentiate w.r.t x, and we get

A' = 100 - 4x

We put, A'= 0

100 - 4x = 0

x = 25

y = 50

A = xy

A = 25 × 50

A = 1250m

Hence, the dimension of the rectangular plot is 25' × 50'.

The area of a rectangular plot is 1250m.

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