What value of p makes the equation true?
-3p + 1/8 = -1/4

Answer:

option b is the correct answer

The characteristic of a data set that can be better understood by constructing a histogram is (a) Shape.

A histogram is a graphical representation of the distribution of a data set. It allows us to visualize the shape of the data and understand how it is distributed. By constructing a histogram, we can see if the data is symmetric, skewed, or uniform. Therefore, the characteristic that can be better understood by constructing a histogram is the shape of the data set.For example, a histogram can reveal whether the data is normally distributed, skewed to the left or right, or has multiple peaks. This information can be used to understand the underlying characteristics of the data, such as whether it is symmetrical, skewed, or has outliers.

Histograms can also provide insight into other characteristics of the data, such as the center, variation, and outliers, but these characteristics are usually better understood by calculating appropriate summary statistics such as mean, median, variance, and standard deviation.

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The probability that a child was living with just one parent is 0.322

The probability that a randomly selected child in a country was living with his or her mother as the sole parent was 0.242

P(mother as sole parent) = 0.242

The probability that a randomly selected child in a country was living with his or her father as the sole parent was 0.080

P(father as sole parent) = 0.080

P(A U B) = P(A) + P(B) - P(A∩ B)

P(living with just one parent) = P(mother as sole parent) + P(father as sole parent)

P(living with just one parent)  = 0.242 + 0.080 = 0.322

Therefore, the probability that a child was living with just one parent is 0.322

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Answer:

Step-by-step explanation:

In mathematics, a interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between.

Fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line.

The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line

A line is shown connecting points on ordered pair (2, 12) and (4, 24) and (6, 36) and (8, 48)

m=24-12/4-2

m=12/2

Hence,  fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

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The real roots of the equation x⁴ −6x² +5=0 are -√5, √5, -1 and 1.

Given equation is x⁴ −6x² +5=0

To find the roots of the given equation by factoring method:

First, Let y=x²

Therefore, the equation becomes: y² -6y +5=0

Factorizing the above equation, we get:(y-5)(y-1)=0

From the above equation, we get two values of y: y=5, y=1

When y=5, x²=5 taking square root on both sides we get x= ±√5

When y=1, x²=1 taking square root on both sides we get x= ±1

Hence the real roots of the equation x⁴ −6x² +5=0 are -√5, √5, -1 and 1.

In the comma-separated list, the answer is -√5, 1, √5, -1.

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The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) with the two numbers she rolls can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

To find the number of favorable outcomes, we need to identify the combinations of two numbers that will result in a two-digit number between 10 and 20. We can list these combinations as follows:

11, 12, 13, 14, 15, 16

Notice that we only have six favorable outcomes.

Now, let's determine the total number of possible outcomes when rolling two six-sided dice. Each die has six possible outcomes (1, 2, 3, 4, 5, 6), so the total number of outcomes is 6 multiplied by 6, which equals 36.

To calculate the probability, we divide the number of favorable outcomes (6) by the total number of possible outcomes (36):

Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6

Therefore, the probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

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Answer:

it would be D

Step-by-step explanation:

all other choices have a repeating x value.

The distance between two points on a line segment is called the length of the segment.

Answer: To find the length of a line segment in a circle, we can use the formula d = 2r sin(t/2), where r is the radius of the circle and t is the angle between the radii. Let's understand in depth.

Two reasons that multiple regression designs cannot completely establish causation are: 1) correlation does not imply causation, and 2) the presence of confounding variables.

1) Correlation does not imply causation: Multiple regression designs can help identify correlations between variables, but correlation alone does not prove causation. There could be other factors at play, or the observed relationship could be due to chance.

2) Presence of confounding variables: Confounding variables are variables that affect both the independent and dependent variables, leading to a spurious association. In multiple regression designs, it is possible that not all confounding variables are accounted for, which can lead to inaccurate conclusions about the causal relationship between variables.

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B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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The minimum table clearance required to satisfy the requirement of fitting 95% of men is 23.4 inches.

The statement is false as the 95th percentile for men is greater than the 5th percentile for women.

Using z-score, we get that approximately 97.13% of men fit the table.

To find the minimum table clearance required to fit 95% of men, we need to find the value corresponding to the 95th percentile of the male sitting knee height distribution. Given that males have a sitting knee height distribution with a mean of 21.4 inches and a standard deviation of 1.1 inches, we can use the z-score formula to find the value corresponding to the 95th percentile:

z = (x - mean) / standard deviation

Rearranging the formula to solve for x:

x = (z * standard deviation) + mean

For the 95th percentile, the z-score is 1.645 (corresponding to the cumulative area of 0.95 in the standard normal distribution). Plugging in the values, we get:

x = (1.645 * 1.1) + 21.4 = 23.4 inches

Therefore, the minimum table clearance required to satisfy the requirement of fitting 95% of men is 23.4 inches.

The statement that if there is clearance for 95% of males, there will certainly be clearance for all women in the bottom 5% is false. This is because the 95th percentile for men (23.4 inches) is greater than the 5th percentile for women (unknown value). There will be women with sitting knee heights below the 5th percentile who may not have sufficient clearance.

To determine the percentage of men who fit a table with a clearance of 23.5 inches, we calculate the percentage of men whose sitting knee heights are less than or equal to 23.5 inches. We use the z-score formula again to find the corresponding percentile:

z = (x - mean) / standard deviation

Rearranging the formula to solve for x:

x = (z * standard deviation) + mean

Calculating the z-score for 23.5 inches:

z = (23.5 - 21.4) / 1.1 = 1.909

Using a standard normal distribution table or calculator, we find that the cumulative area to the left of z = 1.909 is approximately 0.9713. Multiplying by 100 gives the percentage:

Percentage of men fitting the table = 0.9713 * 100 = 97.13%

Therefore, approximately 97.13% of men fit the table.

However, without further information about the distribution of women's sitting knee heights, we cannot accurately determine the percentage of women who fit the table. Additional data regarding the mean and standard deviation or specific percentiles of women's sitting knee heights is needed to make that determination.

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Answer:

she needs $110

Step-by-step explanation:

Just multiply 200 by 0.45 to get 90 then subtract 90 from 200

Answer:

x³ - y³ = 0

Step-by-step explanation:

Given : \(\frac{x}{y}+\frac{y}{x}=-1\)

To Find : value of (x³ - y³)

Since, \(\frac{x}{y}+\frac{y}{x}=-1\)

\(\frac{x^2+y^2}{xy}=-1\)

x² + y² = -xy

x² + y² + xy = 0 -----(1)

Since, x³ - y³ = (x - y)(x² + xy + y²) [From the formula, (a³ - b³) = (a -b)(a²+ b² + ab)

                     = (x - y)(0) {From equation (1)]

                     = 0

Therefore, value of x³ - y³ = 0 will be the answer.

Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

Answer:

A. 30

Step-by-step explanation:

This is a common mistake when you often second guess yourself.  Since this is an algebra equation, you want to solve for the value of x and x alone since you are going to isolate the variable.  The only way to do this equation is to add 16 on both sides to get 30 which is your final answer.

Answer:

A

Step-by-step explanation:

add 16 on both sides. and simply

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

\(1333 + 4666 = 5999\)

Answer:

5

Step-by-step explanation:

The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

children admission fee = $1.50

adults admission fee = $4.00

total money = $250

equation = ?

Step 02:

equation:

x = number of children

y = number of adults

1.50x + 4y = 250

Step 03:

x-intercept , y = 0

1.50x + 4y = 250

1.50x + 4(0) = 250

1.50x = 250

x = 250 / 1.50 = 166.67

Step 04:

y-intercept , x = 0

1.50x + 4y = 250

1.50 (0) + 4y = 250

4y = 250

y = 250 / 4 = 62.5

Step 05:

Graph

The answer is:

equation: 1.50x + 4y = 250

x-intercept: (166.67 , 0)

y-intercept: (0 , 62.5)

Answer:

Below

Step-by-step explanation:

The absolute value of 2 1/2 is 2 1/2. The AV (Absolute value) of -0.23 is 0.23 and the AV of -7/8 is 7/8 because absolute value just means, turn the number/expression in the absolute value symbols (||and||) into a positive expression, if it is already positive then don't change it. BY THE WAY TREAT ABSOLUTE VALUE LIKE PARENTHESIS  IN ORDER OF OPERATIONS! STAY SAFE AND HEALTHY DURING THESE HARD TIMES! ;)

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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We need to find the probability that you are randomly assigned a General Practitioner or a doctor under the age of 45.

In order to find this probability, we need to find the number of doctors that are General Practitioner or under under the age of 45. Then, divide that number by he total of 17.

We know that 7 doctors are General Practitioners. And 2 of them are also under the age of 45.

Therefore, since ther are 4 doctors that are under the age of 45, there are 2 additional doctors, besided those 2 that follow in both categories, there are under the age of 45.

Summarizing, the number of doctors that are General Practitioner or a doctor under the age of 45 is:

Notice that this result can also be obtained by the formula:

where A is the set of General Practitioners, B is the set of doctors under the age of 45, and the symbol |...| represents the number of elements in that set:

Therefore, the required probability is:

Answer

Answer:

Part 1: 10, Part 2: 6

Step-by-step explanation:

Answer:

123.46 or 42.28

Step-by-step explanation:

Assuming that b is the leg side of a triangle and that c is the hypotenuse, we can solve for c using SOHCAHTOA.

We can find the angle from the equation sin X = 0.3240.

X = \(sin^{-1}\) 0.3240

X = ...

Through SOHCAHTOA, we know that we should use either sin X = \(\frac{opp}{hyp}\)  or that cos X = \(\frac{adj}{hyp}\).

I'm going to assume that we use sin X = \(\frac{opp}{hyp}\) since we are given a length b and not a length a. So:

sin 18.9050 = \(\frac{40}{c}\)

c =  \(\frac{40}{sin 18.9050}\) = 123.46

If we use cos X = \(\frac{adj}{hyp}\), then:

cos 18.9050 = \(\frac{40}{c}\)

c =  \(\frac{40}{cos 18.9050}\) = 42.28

Not sure which one is correct since we are not given a picture of the sides.

Answer:

carret answer is :b

Step-by-step explanation:

the between-group variation is larger than your within-group variation

On solving the provided question, we cans ay that the coordinates are (-5,4) (-2,-4) (5,-1) => y2 - y2 = m(x2 - x1) => m = 1/3

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

here,

the coordinates are

(-5,4) (-2,-4) (5,-1)

y2 - y2 = m(x2 - x1)

1-2 = m(5-2)

1 = m3

m = 1/3

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Answer: 4x^2

Step-by-step explanation:

Sorry I don't know how to explain I hope this helps you have a great day

I believe it is the bookshelf one