Nita simplified the equation in problem 8 to 1.8 = 1.2x.
How did she get that? Is this a valid way to solve the
equation? Explain.

Answer: x+6

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

BRAINLIEST plzzzzzzzzzzzzzzzzzz

Answer:

Yes,you have to add both of the bases in a triangle  prism to find the volume.

Step-by-step explanation:

took the test.

Answer:

Step-by-step explanation:

Volume of the prism:

You use the area of the base once, multiply it by the height to find the volume

The answer is no.

Answer:neither are functions

Step-by-step explanation:

Functions don't have repeated x

Answer:

Peter started with 21 cards

Step-by-step explanation:

half of his card that gave to bobby =9

so the other half is 9

9+9=18

18+3 cards that he lost at the beginning=21

Answer:

Substitute 21 for X in the original equation YES

Substitute any number for X in the original equation NO

Bobby’s claims that x=21 is correct YES

The result of verifying Bobby's work is 9=9 YES

The result of verifying Bobby's work is 21=21 NO

Step-by-step explanation:

got right on edg

The odds against the ball being orange are :

2:1.

To find the odds against the ball being orange, we need to compare the number of non-orange balls to the number of orange balls.

First, let's find the total number of balls in the bag:
10 red + 6 green + 15 orange + 14 blue = 45 balls

Next, we need to find the number of non-orange balls:
10 red + 6 green + 14 blue = 30 balls

Now, we can calculate the odds against the ball being orange as a ratio using a colon to separate the two numbers:
Odds against = number of non-orange balls : number of orange balls
Odds against = 30 : 15

Odds against = 2 : 1

Thus, the odds against the ball being orange are 2 : 1.

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a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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210 lbs is approximately equal to 95.2544 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

210 lbs = 210 × 0.453592

Multiply the numbers

= 95.2544 kg ( rounded to four decimal places )

Therefore, 210 lbs is 95.2544 kg

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Beta decay is a type of radioactive decay that occurs in certain atomic nuclei. It involves the transformation of a neutron or proton within the nucleus into the other.

In the case of Lanthanum-144 (La-144), a neutron undergoes beta decay to convert into a proton, resulting in the formation of Cerium-144 (Ce-144).

The equation for the beta decay of La-144 into Ce-144 is as follows:

La-144 → Ce-144 + β¯

In this equation, the La-144 nucleus decays into the Ce-144 nucleus. To conserve charge, a beta particle (β¯) is emitted. The beta particle can be either an electron (β-) or a positron (β+), depending on the specific type of beta decay occurring in the nuclide.

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The correct option is Option A

The minimum value of D is 2, while the maximum value of C is -3.

The minimum value of D is 5 more than the maximum value of C

A binomial random variable is the sum of repeated Bernoulli trials.

In statistics, a Bernoulli trial is a random experiment with two possible outcomes: success or failure, with a fixed probability of success denoted by p.

A binomial random variable is obtained by performing a sequence of n independent and identical Bernoulli trials, each with probability of success p.

The random variable X represents the number of successes that occur in these n trials. The binomial distribution describes the probability of obtaining k successes in n trials.

The probability of success in each trial can be different, but it should remain fixed for all the trials. The binomial distribution is commonly used in quality control, polling, and market research, among other fields.

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We find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

Newton's method is a way to approximate the roots of a function. In this case, we want to approximate the square root of 95 correct to eight decimal places. To use Newton's method, we start with an initial guess and then apply the following formula repeatedly:
x1 = x0 - f(x0) / f'(x0)
where x0 is our initial guess, f(x) is the function we are trying to find the root of (in this case, f(x) = x^2 - 95), and f'(x) is the derivative of f(x) (which is 2x).
Let's start with an initial guess of 10:
x1 = 10 - (10^2 - 95) / (2 * 10) = 5.75
We can continue this process, plugging in our new guess into the formula each time, until we reach a value that is accurate to eight decimal places. After a few iterations, we get:
x8 = 9.74679434
This is our final answer, correct to eight decimal places.
Using Newton's method, we can approximate the square root of a number, such as 95, to eight decimal places. Newton's method is an iterative process that starts with an initial guess and refines the guess using the formula:
x1 = x0 - f(x0)/f'(x0)
For square root approximation, f(x) = x^2 - a, where a is the number we want to find the square root of (95 in this case), and f'(x) = 2x.
Let's start with an initial guess x0 = 9 (since 9^2 = 81 is close to 95). We can then perform the following iterations:
1. x1 = 9 - (9^2 - 95)/(2*9) ≈ 9.72222222
2. x2 = 9.72222222 - (9.72222222^2 - 95)/(2*9.72222222) ≈ 9.74679424
3. x3 = 9.74679424 - (9.74679424^2 - 95)/(2*9.74679424) ≈ 9.74679419
Continuing this process, we find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

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To find the p-value for the test examining the positive linear relationship between speed and jump height, you need to calculate the Pearson correlation coefficient, determine the degrees of freedom, and then find the corresponding p-value.

To determine the p-value for this test, we would need to conduct a hypothesis test using a linear regression model. The null hypothesis would be that there is no linear relationship between speed and jump height, while the alternative hypothesis would be that there is a positive linear relationship between the two variables.

After running the regression model and performing the hypothesis test, we would look for the p-value associated with the slope coefficient for speed. If this p-value is less than the chosen significance level (usually 0.05), we can conclude that there is convincing evidence of a positive linear relationship between speed and jump height for students like these.

Without actually running the regression model and hypothesis test, it is not possible to provide an exact p-value for this scenario.

To determine if there is convincing evidence of a positive linear relationship between speed (mph) and jump height (in) for students like these, you need to conduct a correlation test, specifically a Pearson correlation test. The p-value will help you determine the significance of the relationship.

Step-by-step explanation:

1. Gather the data: Obtain the values for speed (mph) and jump height (in) for each student.

2. Calculate the Pearson correlation coefficient (r): This value will help you measure the strength and direction of the linear relationship between the two variables. You can use statistical software or a calculator for this.

3. Determine the degrees of freedom (df): Calculate this by subtracting 2 from the total number of data points (n). Formula: df = n - 2.

4. Calculate the p-value: Using the Pearson correlation coefficient (r) and the degrees of freedom (df), you can find the p-value in a t-distribution table or by using statistical software.

5. Interpret the p-value: If the p-value is less than your chosen significance level (commonly 0.05), there is convincing evidence of a positive linear relationship between speed and jump height. If the p-value is greater than 0.05, there is not enough evidence to suggest a significant positive linear relationship.

In summary, to find the p-value for the test examining the positive linear relationship between speed and jump height, you need to calculate the Pearson correlation coefficient, determine the degrees of freedom, and then find the corresponding p-value. Comparing this p-value to your chosen significance level will help you conclude if there is convincing evidence of a positive linear relationship between the two variables.

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We have that, using the Chinese remainder theorem, the number of things is 23

There are certain things whose number is unknown. When divided by 3, the remainder is 2; when divided by 5, the remainder is 3; when dividing by 7, the remainder is 2. To solve this problem, we will have to use the Chinese Remainder Theorem.

It establishes that: Let m1, m2, …, mk be coprime integers greater than 1, and let a1, a2, …, ak be any integers. So, the system of simultaneous congruences:

x ≡ a1 (mod m1)x ≡ a2 (mod m2)…x ≡ ak (mod mk)

It has a unique solution modulo M = m1m2…mk.

The Chinese Remainder Theorem implies that there is only one solution of the system of three congruences such that 0 ≤ x < 3 x 5 x 7 = 105. Using the Chinese Remainder Theorem, we obtain that x ≡ 23 (mod 105). Therefore, the number of things is 23.

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A sample statistic is is any quantity from the sample of a population.

We can see in the last option, that from the population (total of subjects of study) Kaisa, selected 84 of the total students. This fits in to the definition of sample statistic.

Thus, the correct option is the last one.

Answer:

1) y = 2x - 2

2) y = - x - 1

3) y = 2/3 x + 1

4) y = 4x - 4

5) y = 3x + 6

6) y = -3x -3

7) y = 3 - x

8) y = 4 - 4x

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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On solving the provided question, we can say that equality of given trapezium we find, y=13/10 and x=21

A convex quadrilateral with exactly one pair of opposite sides that are parallel to one another is called a trapezium. When drawn on a piece of paper, the trapezium is a two-dimensional shape that resembles a table. A quadrilateral is a polygon in Euclidean geometry that has four sides and four vertices.

Since ABCD~PQRS

then, on comparing

5y-3/4 = 7/8

y=13/10

On comparing angle,

3x+24=87°

3x=63°

x=21

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The cost of 1kg of bananas is approximately £0.30.

Let's break down the given information and solve the problem step by step.

First, we are told that 4.5kg of bananas and 3.5kg of apples together cost £6.75. Let's assume the cost of bananas per kilogram to be x, and the cost of apples per kilogram to be y. We can set up two equations based on the given information:

4.5x + 3.5y = 6.75   (Equation 1)

and

3.5y = 5.40         (Equation 2)

Now, let's solve Equation 2 to find the value of y:

y = 5.40 / 3.5

y ≈ £1.54

Substituting the value of y in Equation 1, we can solve for x:

4.5x + 3.5(1.54) = 6.75

4.5x + 5.39 = 6.75

4.5x ≈ 6.75 - 5.39

4.5x ≈ 1.36

x ≈ 1.36 / 4.5

x ≈ £0.30

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Answer:

This is true

Step-by-step explanation:

28 = 28 is what you will get if you put N into the equation.

Answer:

Your answer is: 28 = 28

The left side  28  is equal to the right side  28 , which means that the given statement is always true.

You have to plug in both n's with a 6, so your equation would be ↓ 4(2(6)-5)=3(6)+10

Step-by-step explanation:

Hope this helped : )

Answer:

  23.9% decrease

Step-by-step explanation:

The percentage change is calculated from ...

  pct change = ((new value)/(old value) -1) × 100%

  = (2653/3487 -1) × 100% = -0.2392 × 100%

  pct change = -23.9% . . . . rounded to tenths

The population decreased by 23.9% in the given time period.

Answer:

Step-by-step explanation:

As per given information there are 18000 CCTV cameras in the area of 783.8 square kilometers

To find the average number of cameras you divide the number by the area.

The average number of CCTV cameras per square kilometer in NYC = 18000/783.8 = 22.9650421026 ≈ 23

It should be rounded up if taking approximate number

Yes you can have as many equal signs as you need and the approximately equal sign in the same equation.

Answer:

$3671.58

Step-by-step explanation:

Take the annual salary and divide it by the number of months

Answer:

14

Step-by-step explanation:

Because I looked it up

The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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a) The coordinates of point A are given as follows: (-4,1).

b) The point B is plotted in red on the image given for this problem.

c) The coordinates of point C are given as follows: (-4,-2).

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

Then the coordinates of point C are given as follows:

Hence the ordered pair is given as follows:

(-4, -2).

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Answer:

Step-by-step explanation:

Since it is x that is bound by 5≤x≤8, you should use the points (5,10) and (8,1), since a coordinate is written as (x,y).

Then, use the formula for slope, as the average rate of change means find the slope, \(\frac{y2-y1}{x2-x1}\)

thus, plug in

\(\frac{1-10}{8-5}\), and you get -9/3, or -3. :)