the dimensions of a rectangle are given in terms of X as shown below the perimeter of the rectangle is 7 3/5 units. what is the value of x​

The conditional probability of A, given B, is 0.80. A and B are not independent events in a probability sense because P(A|B) is not equal to P(A).

To calculate the conditional probability of A given B, we use the formula: P(A|B) = P(A and B) / P(B). From the given information, we know that the probability of A is 0.25, the probability of B is 0.30, and the probability of both A and B is 0.24.

Using these values, we can calculate the conditional probability:

P(A|B) = P(A and B) / P(B) = 0.24 / 0.30 = 0.80

Therefore, the conditional probability of A, given B, is 0.80.

To determine whether A and B are independent events in a probability sense, we compare P(A|B) with P(A). If P(A|B) is equal to P(A), then the events A and B are independent. However, in this case, 0.80 (P(A|B)) is not equal to 0.25 (P(A)). Hence, A and B are not independent events in a probability sense.

In conclusion, the conditional probability of A, given B, is 0.80. A and B are not independent events because the probability of A, given B, is different from the probability of A alone.

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

Step-by-step explanation:

Answer:

1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(x + 4)/(3x)

x = 2

Step 2: Evaluate

Answer:

u forgot to add a pic

Step-by-step explanation:

:)

Answer:

Interrater reliability between the two data collectors was high

Step-by-step explanation:

Explanation-

Answer:

the ans is 6x−y=22

(hope that helps can p lz have brainlist it will make my day :D hehe)

Step-by-step explanation:

The estimated population of Georgia at the end of 2023 is 11,003,674.

To calculate Georgia's population at the end of 2023, we use the given information that Georgia has averaged approximately 1% growth per year for the last decade. This growth rate is applied to the population at the end of 2013, which was 9,975,592.

We calculate the number of years from 2013 to 2023, which is 10 years. Using the formula for compound interest with a growth rate of 1% (or 0.01), we can find the population after 10 years:

Population = Initial Population * (1 + Growth Rate)^Number of Years

Plugging in the values, we get:

Population = 9,975,592 * (1 + 0.01)^10

Simplifying the equation, we find:

Population ≈ 9,975,592 * (1.01)^10

Population ≈ 9,975,592 * 1.1046

Population ≈ 11,003,674

Therefore, based on the given growth rate, Georgia's population is estimated to be approximately 11,003,674 at the end of 2023. This estimation assumes that the 1% growth rate per year continues to hold true in the future.

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Answer: m=-5/3

Step-by-step explanation:

The probability that the mean blood pressure will be less than 125 is 0.9938

The mean of the pressure readings = 123

The standard deviation = 9.6

Total population = 144

The value is less than 125

The equation of the z-score is

z-score = (Observed value - Mean ) / (Standard deviation /\(\sqrt{N}\))

Substitute the values in the equation

z-score = (125 - 123) / (9.6/\(\sqrt{144}\))

= 2 / (9.6/12)

= 2 / 0.8

= 2.5

Using the statistical table

The probability of that their mean blood pressure less than 125

P(z < 2.5) = 0.9938

Therefore, the probability is 0.9938

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Answer:

x = −2 or x = 10

Step-by-step explanation:

for the explanation see the image

Answer:

yes

Step-by-step explanation:

66 can be expressed as the fraction 2/3, it is a rational number.

Jenna will have total money, y= 166 + 23x.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Jenna had saved $166.

She will earn $23 per day of work

If x represents the number of days she works the she will earn

= 23x

So, She will have total

= 166+ 23x

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The resulting box plot for the given data would show a box ranging from 5.2 to 5.7, with the median at 5.4.

A box plot, also known as a box-and-whisker plot, is a graphical representation of numerical data that displays the distribution of a dataset. It provides a visual summary of the minimum, first quartile, median, third quartile, and maximum values, as well as any outliers that may be present.

To construct a box plot from the given data (diameters of cans in an assembly line: 5.7, 5.6, 5.1, 5.4, 5.2, 5.6, 5.7, 5.3, 5.8, 5.2), follow these steps:

1. Sort the data in ascending order: 5.1, 5.2, 5.2, 5.3, 5.4, 5.6, 5.6, 5.7, 5.7, 5.8.

2. Find the median (middle value) of the dataset, which is 5.4.

3. Determine the first quartile (Q1), which is the median of the lower half of the data. In this case, it is the median of the numbers below 5.4: 5.2.

4. Find the third quartile (Q3), which is the median of the upper half of the data. In this case, it is the median of the numbers above 5.4: 5.7.

5. Calculate the interquartile range (IQR) by subtracting Q1 from Q3: 5.7 - 5.2 = 0.5.

6. Identify any outliers in the dataset. Outliers are values that fall below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR. In this case, there are no outliers.

7. Construct the box plot using a number line. Draw a box from Q1 to Q3, with a line inside representing the median. Add whiskers (lines) extending from the box to the minimum value (5.1) and the maximum value (5.8).

The resulting box plot for the given data would show a box ranging from 5.2 to 5.7, with the median at 5.4. The whiskers would extend from 5.1 to 5.8. This visual representation provides an overview of the distribution and key statistical measures of the diameters of cans in the assembly line.

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The answers of a, and b are the probability that the selected student will be female is approximately 0.607, and the probability that the selected student will be male is approximately 0.393.

(a) To find the probability that a randomly selected student will be female, we can use the following formula: P (female) = (number of degrees awarded to women) / (total number of associate degrees awarded).

P(female) = 612,034 / 1,008,329
P(female) ≈ 0.607 (rounded to three decimal places)

So, the probability that the selected student will be female is approximately 0.607.

(b) To find the probability that a randomly selected student will be male, we first need to determine the number of degrees awarded to men: (total number of associate degrees awarded) - (number of degrees awarded to women).

Degrees awarded to men = 1,008,329 - 612,034 = 396,295

Now, we can use the same formula as before: P(male) = (number of degrees awarded to men) / (total number of associate degrees awarded).

P(male) = 396,295 / 1,008,329
P(male) ≈ 0.393 (rounded to three decimal places)
So, the probability that the selected student will be male is approximately 0.393.

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The answers of a, and b are the probability that the selected student will be female is approximately 0.607, and the probability that the selected student will be male is approximately 0.393.

(a) To find the probability that a randomly selected student will be female, we can use the following formula: P (female) = (number of degrees awarded to women) / (total number of associate degrees awarded).

P(female) = 612,034 / 1,008,329
P(female) ≈ 0.607 (rounded to three decimal places)

So, the probability that the selected student will be female is approximately 0.607.

(b) To find the probability that a randomly selected student will be male, we first need to determine the number of degrees awarded to men: (total number of associate degrees awarded) - (number of degrees awarded to women).

Degrees awarded to men = 1,008,329 - 612,034 = 396,295

Now, we can use the same formula as before: P(male) = (number of degrees awarded to men) / (total number of associate degrees awarded).

P(male) = 396,295 / 1,008,329
P(male) ≈ 0.393 (rounded to three decimal places)
So, the probability that the selected student will be male is approximately 0.393.

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Answer:

54

Step-by-step explanation:

area of a trapezoid is 1/2 which you can out into a calculator as .5 and then add the two bases which are 6 and 12 then times those by the height which is 6 so you'd put it in the calculator like this .5(12+6)(6) and you should get the answer of 54in^2
the (^2) is squared btw!
hope this helped. lmk if you need anything else

Mass = density x volume

Mass = 3.5 x 20 = 70 grams

Answer:

Step-by-step explanation:

This probability will be the area of the square divided by the area of the circle.

\(P=\frac{(4\sqrt{2})^2}{\pi 4^2}\\ \\ P=\frac{32}{16\pi}\\ \\ P=\frac{2}{\pi }\\ \\ \text{As a percentage}\\ \\ P=\frac{200}{\pi}\\ \\ P\approx 63.7\% \)

Answer:

b-4/5b

Step-by-step explanation:

b is decreased by 80%

dat is 80/100×b

= b-80/100b

b-4/5b

Answer:

• Account A has a principal of $100

• Account B has a principal of $700

• Account B earned you the most interest in the first month.

Explanation:

Account A

• Simple Interest = $0.95

• Time = 3 months = 3/12 years

• Interest Rate=3.8%

We know that:

Account B

• Simple Interest = $21

• Time = 15 months = 15/12 years

• Interest Rate=2.4%

We know that:

Next, we determine the account that earned you the most interest in the first month.

Account A (Interest in the First Month)

Account B (Interest in the First Month)

We see that Account B earned you the most interest in the first month.

On solving the provided question, we can say that equation has the greatest positive rate of change is  y = -4x+4

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

equation has the greatest positive rate of change is

y = -4x+4

as x and y are directly proportional

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Answer:3.5d

Step-by-step explanation:

If you would multiply the cost(d) by 3.5, the answer is 3.5d.

Answer: 3.5d

Step-by-step explanation: All you do is multiply 3.5 times d (cost of the ingredients). No matter how d changes, the answer will be true because d is equivalent to just whatever the ingredients cost at that time.

Answer:

c

Step-by-step explanation:

use the calculator

The value of  dx/dt is -9

Given xy = 3 and dy/dt = 3, the derivative of x with respect to time, dx/dt, can be found using implicit differentiation.

given xy=3

x=-3

so y = 3/-3

=> y=-1

Implicit differentiation is a method used to find the derivative of an implicit function, where the dependent variable is not explicitly expressed as a function of the independent variable.

In this case, we are given the relationship xy = 3 and the derivative of y with respect to time, dy/dt = 3, and we want to find dx/dt. To do so, we differentiate both sides of the equation xy = 3 with respect to time, t, using the chain rule.

On the left side, we have d/dt (xy) = xdy/dt + ydx/dt. On the right side, the derivative is simply 0. Setting the two expressions equal to each other, we have xdy/dt + ydx/dt = 0. Substituting the given value of dy/dt = 3, we get x(3) + ydx/dt = 0, or 3x + ydx/dt = 0.

If we substitute x = -3, we have 3(-3) + ydx/dt = 0, which simplifies to -9 + ydx/dt = 0, and finally, ydx/dt = 9.

since y = -1 so  dx/dt = -9

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we have the coordinates of ABCD

there are 2 ways of doing this one is you find the distance of ab, bc, cd and da and then add the answers together. there is another way but i dont remember it properly so i am just gonna do it this way

distance between 2 point = \(\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\)

AB

\(d = \sqrt {(4 - 1)^2 + (4 - 1)^2}\)

\(d = \sqrt {(3)^2 + (3)^2}\)

\(d = \sqrt {9 + 9}\)

\(d = \sqrt 18\)

AB = 4.24

now repeat the same with all

BC= 4.24

CD= 4.24

DA= 4.24

so its a square with all the same sides so perimeter is 4 x 4.24

perimeter is 16.96

hope this helps

mark me as brainliest please

Statistically, 6s performance produces fewer than 5.6 defects per million opportunities for an error for the defect.

To determine the answer, we need to understand the concept of defects per million opportunities (DPMO). DPMO is a measure used to quantify the number of defects in a process per one million opportunities for an error or defect to occur.

In this case, we are given that 6s performance produces fewer than a certain number of defects per million opportunities. The question is asking for the maximum allowable value for defects per million opportunities.

Since the question is asking for the maximum allowable value, we need to choose the highest option among the given choices. Among the options provided, option a) 5.6 is the highest value.

Therefore, the answer is a) 5.6, as it represents the maximum allowable number of defects per million opportunities for 6s performance. This means that the process is expected to have fewer than 5.6 defects for every one million opportunities for an error or defect to occur.

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Answer:

1 hour and 12 mins

Step-by-step explanation:

There are 462 different ways to select a planning board of 6 scientists from a group of 11 scientists.

The problem requires selecting 6 scientists from a group of 11 scientists. This is a combination problem, and the formula for combination is nCr, where n is the total number of items, and r is the number of items to be selected. The formula is given by:

nCr = n! / (r! * (n-r)!)

Where "!" denotes the factorial of a number, which is the product of all positive integers up to that number.

Using the given formula, the number of ways of selecting a planning board of 6 scientists can be calculated as:

11C₆ = 11! / (6! * (11-6)!)

= (11109876!) / (6! * 54321)

= (1110987) / (5432*1)

= 462

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