Which is an equivalent form of the following equation?
2x – 3y = 3

The length of the diagonal of the square is 7.07

We are given that;

The square of side=5

Now,

To find the length of the diagonal of a square, we can use the Pythagorean theorem, which states that:

a²+b²=c²

where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse.

The diagonal of the square is the hypotenuse of a right triangle with legs of length 5. Hence, we can plug in the values and solve for c:

5²+5²=c²

25+25=c²

50=c²

c=50​

we can approximate the value of c as:

c≈7.07

Therefore, by Pythagoras theorem the answer will be 7.07.

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Answer:

.25

Step-by-step explanation:

it would be 1 1/2

i hope this helps!!

let me know!!!!

Answer:

n = 8

Step-by-step explanation:

Continuing the sequence using

\(x_{n}\) + \(x_{n+1}\)

x₄ = x₂ + x₃ =1 + 2 = 3

x₅ = x₃ + x₄ = 2 + 3 = 5

x₆ = x₄ + x₅ = 3 + 5 = 8

x₇ = x₅ + x₆ = 5 + 8 = 13

x₈ = x₆ + x₇ = 8 + 13 = 21

x₉ = x₇ + x₈ = 13 + 21 = 34

x₁₀ = x₈ + x₉ = 21 + 34 = 55 ← with n = 8

Answer:

The Fibonacci numbers are

1

1

2

3

5

8

13

21

34

55

The eighth Fibonacci Number  is 21, the  ninth  is 34 and the tenth is 55.

So Fibonacci # 8 + Fibonacci Number #9 = Fibonacci# 10

21 + 34 = 55

If you want to read a little bit more about Fibonacci numbers, try this page: http://www.1728.org/fibonacci.htm

that's my website :-)

Step-by-step explanation:

Dan and his wife each get (x - t - 130)/2 pounds after he pays his tax of £t and rent of £130.

After Dan pays his tax and rent, he has x - t - 130 pounds left. He shares this amount equally with his wife. Therefore, each of them would get (x - t - 130) / 2 pounds.

For example, if Dan's wages are £500, his tax is £100, then his remaining income after paying tax would be £400. After paying rent of £130, he would be left with £270. He would share this equally with his wife, so each of them would get £135. Therefore, Dan and his wife each get (x - t - 130)/2 pounds after he pays his tax of £t and rent of £130.

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The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Answer:

-3

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The woman slice is less than half, greater than a quarter, and just over 1/3. Since 1/3 is about 33%, I would say 35% (D).

Answer:

  66°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°.

__

  79° +x +35° = 180°

  x = 180° -114° . . . . . . . . subtract 114° from both sides

  x = 66° . . . . . simplify

Answer:

inequality:  x + 5 < 13

solution:  x < 8

Step-by-step explanation:

x + 5 < 13

Subtract 5 from both sides:

⇒ x < 8

x + 5 < 13

x < 8

is your answer

Giving a total surface area of 94 square centimeters (cm²).

The diagram you mentioned illustrates a cuboid with dimensions of 3 cm in length, 5 cm in width, and 4 cm in height.

A cuboid is a three-dimensional geometric shape characterized by six rectangular faces.

In this case, the total volume of the cuboid can be calculated by multiplying its dimensions:

length × width × height, which is 3 cm × 5 cm × 4 cm, resulting in a volume of 60 cubic centimeters (cm³).

Additionally, the surface area of the cuboid can be found by adding the areas of all six faces: 2 × (3 × 5 + 3 × 4 + 5 × 4) = 2 × (15 + 12 + 20),

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Answer:

  0.16

Step-by-step explanation:

You want the probability that team b will win 2 games in a row, given that the probability of team a winning is 0.6, and the probability of team b winning is 0.4.

After one win for team A, the series can have the possible outcomes ...

  A – team a wins with probability 0.6

  BA – team a wins with probability (0.4)(0.6) = 0.24

  BB – team b wins with probability (0.4)(0.4) = 0.16

The probability of team b winning the series is 0.16.

__

Additional comment

The probability team a wins the series after winning the first game is 0.6 +0.24 = 0.84 (= 1 -0.16). At the beginning of the series, the probability b wins is 0.352, dropping dramatically after a wins the first game.

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The probability that Team B wins the series after Team A wins the first game is 0.4 or 40%.

What is probability?

Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.

To determine the probability that Team B wins the series after Team A wins the first game, we need to consider the different possible outcomes of the remaining games.

Since the series continues until one team wins two games, there are three possible scenarios:

Team A wins the next game (Team A wins the series)

Team B wins the next game, followed by Team A winning the third game (Series tied at 1-1)

Team B wins both the next and third games (Team B wins the series)

We'll calculate the probabilities of these scenarios and then determine the probability of Team B winning the series.

Scenario 1: Team A wins the next game (Team A wins the series):

The probability of Team A winning the next game is 0.6.

Scenario 2: Team B wins the next game, followed by Team A winning the third game (Series tied at 1-1):

The probability of Team B winning the next game is 0.4.

The probability of Team A winning the third game is 0.6.

To calculate the probability of this scenario, we multiply the individual probabilities:

Probability = 0.4 * 0.6 = 0.24

Scenario 3: Team B wins both the next and third games (Team B wins the series):

The probability of Team B winning the next game is 0.4.

The probability of Team B winning the third game is 0.4.

To calculate the probability of this scenario, we multiply the individual probabilities:

Probability = 0.4 * 0.4 = 0.16

To find the probability of Team B winning the series, we add the probabilities of Scenario 2 and Scenario 3 since both outcomes result in Team B winning the series:

Probability = 0.24 + 0.16 = 0.4

Therefore, the probability that Team B wins the series after Team A wins the first game is 0.4 or 40%.

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a. If the data is weight, the z-score for someone who is overweight would be positive.

b. If the data is IQ test scores, an individual with a negative z-score would have a low IQ.

c. If the data is time spent watching TV, an individual with a z-score of zero would watch the average amount of TV.

d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be negative.

The z-score represents how far a data point is from the mean in terms of standard deviations. If someone is overweight, their weight would be above the mean weight, so their z-score would be positive.

Again, the z-score represents how far a data point is from the mean in terms of standard deviations. If someone has a negative z-score for IQ test scores, it means their score is below the mean score, so their IQ would be low.

A z-score of zero means the data point is exactly at the mean, so someone with a z-score of zero for time spent watching TV would watch the average amount of TV.

Again, the z-score represents how far a data point is from the mean in terms of standard deviations. If someone is making minimum wage, their salary would be below the mean salary, so their z-score would be negative.

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Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

9514 1404 393

Answer:

  a) 720°

  b) 98

Step-by-step explanation:

a) The sum of interior angles of an n-gon is (n-2)×180°. For n=6, the sum is ...

  (6 -2)×180° = 4×180° = 720°

__

b) The sum of the marked angles is 622°, so the value of x is ...

  x = 720 -622

  x = 98

Answer:

3089/11220

Approximately = 0.2753

Step-by-step explanation:

Patel estimates that he needs 2 cups of Orange juice.

But let's know the amount he already has.

4/17 + 3/10 + 9/20 + 3/11 + 7/15

= 3/10 + 9/20 + 7/15 + 3/11 + 4/17

=( 18 + 27 + 28)/60 + (51+44)/187

= 73/60 + 95/187

=( 13651 + 5700)/11220

= 19351/11220

= 1(8131/11220)

So to complete it two he needs ( 11220-8131)/11220= 3089/11220

Approximately = 0.2753

Answer:

1/6 is your answer.

Answer:

19

Step-by-step explanation:

Given:

To find how many full bags of sweets the machine can fill, divide the total number of sweets by the number of sweets per full bag:

⇒ 4275 ÷ 28 = 152.6785714...

Therefore, the machine can fill 152 full bags.

To calculate how many sweets are left, subtract the product of the number of full bags and the number of sweets per bag from the total number of sweets:

⇒ 4275 - (152 · 28)

⇒ 4275 - 4256

⇒ 19

Therefore, there are 19 sweets left after the machine has filled as many bags as possible.

The simplified form of the given expression is 9b

From the question, we are to simplify the given expression

The given expression is 3√b^2

This expression can be properly written as

(3√b)²

To simplify the expression,

First, we will expand the expression by applying one of the rules of exponents

(3√b)²

Applying the rule of exponent

3² × (√b)²

9 × b

= 9b

Hence,

The simplified expression is 9b

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Answer:

x-y

Step-by-step explanation:

Answer:

i will

Step-by-step explanation:

thanks

Answer:

dam you cant help me with my subjects

Step-by-step explanation:

Answer:

In every Graph you must have the following:

- Heading

- The Two Axis (X and Y)

- Labels for the two axis

- Data

- A Line of Best Fit* joining them up

*A Line of Best fit is a line that doesn't touch all the points but goes between them so you can see roughly the next part of the pattern.

The given function is

Where 40 is the rate of change, and 75 is the y-intercept. This means that Joshua's earnings without the commission are $75, and he earns $40 per painting as commission.

Now, let's find the rate of change of the table

Let's replace the points (1, 115) and (2, 150).

So, the rate of change of the table is 35, which means the commission per painting is $35.

Now, we use the point-slope formula to find the equation

As you can observe, the function shown in the table has 80 as the y-intercept, which means that the earnings without commission are $80.

Since n = 1 is a positive integer for which the proposition is true, then p(1) is true.

Direct Proof:

Assume n is a positive integer.

Show that n²  ≥ n.

Substitute n = 1 into the equation n²  ≥ n

Solve the equation 1² ≥ 1

Show that 1² = 1, and 1 ≥ 1.

Therefore, n² ≥ n is true for n = 1.

This is an example of a direct proof, in which we start by assuming the statement is true for a particular value before using logical processes to demonstrate that it must be true for all values.

Before solving the problem, we made the assumption that n was a positive integer, added n = 1, and then proved that the assertion was accurate for n = 1. This establishes the statement's applicability to all positive numbers.

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Answer:

C

Step-by-step explanation:

These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.

The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.

A linear model is applicable if we can create a linear equation based on the connection between the independent and dependent variables (because there is no constant rate of change).

These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.

Thus, despite its being curved, a linear model is adequate for this time and price scatterplot.

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Answer:

             The x intercept:    (1.5, 0)

The slope intercept form:   y = 2x - 3

                      The slope:    m = 2

Step-by-step explanation:

x intercept means y=0

4x - 2y = 6

4x - 2·0 = 6

4x = 6

x = 1.5

The slope intercept form is:  y = mx + b

4x - 2y = 6            {subtract 4x from both sides}

- 2y = - 4x + 6       {dividing both sides by (-2)}

y = 2x - 3            ← slope intercept form

Slope is the number by x, in slope intercept form of line's equation

Answer:

8 7/8 is the correct answer

Step-by-step explanation:

hope this helps

\(x - 2 \frac{5}{8} = 6 \frac{1}{4} \)

\(x - \frac{21}{8} = \frac{25}{4} \)

\(x = \frac{50}{8} + \frac{21}{8} \)

\(x = \frac{71}{8} \)

\(x = 8 \frac{7}{8} \)