2. The number of students at Franklin High
School increased from 840 to 910 over
a 5-year period. What was the percent
of increase?
F 8.3%
G 14.0%
H 18.5%
J 92.3%

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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9 in 8956 = 900

9 in 95675 = 90000

9 = 9 in 124569

9 in 68795 = 90

90000 = 9 in 2549652.........

hope it helps...

Step-by-step explanation:

the correct answer is option a 6a-7

He would travel 32.5 miles in 30 minutes. 130 split into a half is 65, split again and you get 32.5 miles.

Answer: The answer is D

Step-by-step explanation:

You are supposed to divide both sides of the equation by -3.

(a) (i) To express x^2 - 6x + 11 in the form (x - p)^2 + q, we need to complete the square.

Expanding (x - p)^2 + q gives x^2 - 2px + p^2 + q.

Comparing this with x^2 - 6x + 11, we can equate the coefficients:

-2p = -6 => p = 3

p^2 + q = 11 => 9 + q = 11 => q = 2

Therefore, x^2 - 6x + 11 can be expressed as (x - 3)^2 + 2.

(ii) Using the result from part (a)(i), we can see that the equation x^2 - 6x + 11 = 0 has no real solutions. This is because the expression (x - 3)^2 is always non-negative (since it is squared), and adding 2 to it will always yield a positive value. Thus, there are no values of x that satisfy the equation, and hence, no real solutions exist.

(b) (i) The vertex of the curve with equation y = x^2 - 6x + 11 can be found by using the formula x = -b/2a. In this case, a = 1 and b = -6. Plugging these values into the formula, we get x = -(-6)/(2*1) = 3.

To find the corresponding y-coordinate, substitute x = 3 into the equation: y = 3^2 - 6(3) + 11 = 2.

Therefore, the vertex of the curve is (3, 2).

(ii) To sketch the curve, we plot the vertex (3, 2) on the coordinate plane and draw a symmetric U-shaped curve. The curve intersects the y-axis at y = 11, indicating that it crosses the y-axis at the point (0, 11).

(iii) The geometrical transformation that maps the curve with equation y = x^2 - 6x + 11 onto the curve with equation y = x^2 is a vertical translation downwards by 9 units. This can be observed by comparing the constant term in both equations: 11 - 9 = 2. The curve is shifted downwards, maintaining the same shape but with a different y-intercept.

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Answer:

The equation for charge is = current x times

Answer:

f(4.5) I think

Step-by-step explanation:

Answer:

–10, –7.5, –5, –2.5, …

Step-by-step explanation:

itz the answer

Answer:

(-2,7)

Step-by-step explanation:

Use midpoint formula (x1+x2 divided by 2) (y1+y2 divided by 2)

Since you already have your midpoint then make an equation (point a+point b=point m)

solve for x coordinate

2+x divided by 2=0

multiply by 2

2+x=0

subtract 2

x=-2

Solve for y

5+y divided by 2=6

multiply by 2

5+y=12

subtract 5

y=7

(-2,7)

Hope this helped!

Answer:

y = -6x - 2.

Step-by-step explanation:

x - 6y = 12

Gradient = 1/6

since the line is perpendicular to x - 6y = 12

its gradient will be -6.

hence its equation will also be:

y - 4 = -6(x - (-1))

y - 4 = -6x -6

y = -6x -2

Answer:

13.714-13.551= 0.163

Step-by-step explanation:

Answer:

\(= \frac{-125x^3-1}{x-1}\)

The monomial expressions which best estimates the behavior of the function f(x) = (x - 6)/(\(x^2\) + 2x + 14) are '1/x' and '1' and the required ratio is 1/x.

The behavior of a rational function as x approaches positive or negative infinity can be estimated by analyzing the highest power terms in the numerator and denominator.

For the function f(x) = (x - 6)/(\(x^2\) + 2x + 14), as x approaches infinity, the dominant term in the numerator is x, and in the denominator, the dominant term is \(x^2\).

Therefore, the behavior of the function can be estimated by the monomial expression \(x\)/\(x^2\), which simplifies to 1/x.

For the denominator \(x^2\) + 2x + 14, as x approaches infinity, the dominant term is \(x^2\).

Therefore, the behavior of the denominator can be estimated by the monomial expression \(x^2/x^2\), which simplifies to 1.

Using the results from parts (a) and (b), the ratio of the monomial expressions that best estimates the behavior of (x - 6)/(\(x^2\) + 2x + 14) as x approaches infinity is (1/x)/(1), which simplifies to 1/x.

In summary, as x approaches infinity, the function f(x) = (x - 6)/(\(x^2\) + 2x + 14) behaves like 1/x, and the ratio of the dominant monomial terms in the numerator and denominator is 1/x.

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The correct statement are:

Based on the given information, we can make the following conclusions:

A. The interquartile range for high school students is smaller than college students.

The statement is False

B. The mean for high school students is smaller than college students.

The statement is False because the mean of College is 25.28 and mean for High school is 30.4.

C. The range for high school students is larger than college students.

The statement is True .

D. The college median is equal to the high school median.

The statement is True because the median for both is 24..

E. The mean absolute deviation is larger for college students than high school students.

The statement is False.

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Max had picked 24 apples.

We have,

Let x be the number of apples Max picked.

According to the problem, if he had picked twice as many apples, he would have 24 more apples than he currently has.

This can be expressed as:

2x = x + 24

Simplifying and solving for x:

x = 24

Therefore,

Max had picked 24 apples.

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Answer: 37.5 V

Step-by-step explanation:

Answer:

184ft

Explanation:

To be able to determine the length of the string, we have to find the length of the hypotenuse side of the triangle.

Let the length of the hypotenuse be x.

To find x, we have to take the cosine of angle 57;

Answer:

h=2

Step-by-step explanation:

Answer:

$4 000

Step-by-step explanation:

...................................

Answer:

z = 4.8

m = 5 1/3

Step-by-step explanation:

Here, we want to get and z

We use the principle of similar triangles

5/3 = 8/z

5z = 24

z = 24/5

z = 4.8

To get m;

3/m-2 = 4.8/m

3m = 4.8(m-2)

3m = 4.8m - 9.6

4.8m - 3m = 9.6

1.8m = 9.6

m = 9.6/1.8

m = 5 1/3

The sine of 0 radians is 0.

In trigonometry, the sine of an angle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse of a right-angled triangle.

When the angle is 0 degrees (or 0 radians), the opposite side has a length of 0, and thus the ratio is also 0. Therefore, the sine of 0 radians is 0.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 0 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.

Note that, the sine function maps an angle to a value which is between -1 and 1, with a periodic nature, meaning that the values repeat in a cycle as the angle increases.

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Answer:

A.

Step-by-step explanation:

Radical expressions can only be simplified if their radicands are identical.

Answer:

Range = 3.3

Step-by-step explanation:

Range = Max value - Min value

Max value = 100.1

Min Value = 96.8

Range = 100.1 - 96.8

Range = 3.3

Answer:

6/35

Step-by-step explanation:

\(\frac{2}{5} *\frac{3}{7} =\frac{2*3}{5*7} =\frac{6}{35}\)

Answer:

6/35

Step-by-step explanation:

2/5x3/7=

6/35

Does not simplify. Multiply straight across..

Hope this helps!

A type of article that provides a quantitative summary of the evidence is a systematic review and meta-analysis.

A systematic review is a comprehensive and rigorous approach to synthesizing existing research literature on a specific topic. It involves a systematic search for relevant studies, an assessment of their quality and relevance, and a synthesis of the findings.

A meta-analysis, on the other hand, is a statistical method that combines the results of multiple studies to generate a quantitative summary of the evidence.

Systematic reviews and meta-analyses are considered the highest level of evidence in evidence-based medicine and other fields. They provide an objective and rigorous assessment of the available evidence, helping to guide clinical practice, policy decisions, and further research.

By pooling data from multiple studies, meta-analyses can provide more precise estimates of treatment effects or other outcomes of interest.

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Answer:

First we distribute the -5:

-5(7+x) = -5(7) - 5(x) = -35 - 5x

Then we combine like terms:

-35 - 5x + 2 5/6x = -35 + 2/6x - 5x = -35 + 1/3x - 5x

So:

-5(7+x)+2 5/6x = -35 + 1/3x - 5x

Answer:

Step-by-step explanation:

Measure the angle between the lines

It should be 90 degrees,

The correct answer is (c) analytical. Levels of a variable can have meaning and order when the variable is analytical variable.

Analytical variables are variables that have a meaningful order or ranking, such as height or weight. For example, height is an analytical variable because people can be ranked from shortest to tallest, and each height value is meaningful in relation to other height values.

Prescriptive variables describe the desired or prescribed behavior, such as in a set of rules or guidelines. Categorical variables divide data into categories or groups, such as gender or hair color. Continuous variables have an infinite number of values and can take on any value within a given range, such as temperature or time.

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Answer:

16/80=8/40

8/40=4/20

4/20=2/10

2/10=1/5

1/5

Answer:

1/5

Step-by-step explanation:

16/80= 1/5

1/5 part answered correct