This table contains equivalent ratios between x and y
——————-
x
1
3

7
——————-
y
5
15
25
35

Answer:

i think its just water bro

If variables were found to be unrelated, the correlation coefficient would be close to 0 or,more precisely.

How is the correlation coefficient affected when variables are found to be unrelated or have no linear relationship?

When variables are found to be unrelated or have no linear relationship, the correlation coefficient would be close to zero or zero, indicating a weak or no correlation between the variables.

If variables were found to be unrelated, the correlation coefficient would be close to 0 or, more precisely, the correlation coefficient would be negligible or statistically insignificant. In other words, there would be little to no linear relationship between the variables.

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Answer:

1:45

Step-by-step explanation:

Trickish a bit. But look at it from this angle.

Two students were given marks that when added together, gives a total of 25. 25 on the other hand, is known to be a quarter of 100.

Again, we consider that there are 2 students involved, so we can say that the hour mark is at 2. This means that we have quarter to 2. And looking up quarter to 2 on the clock gives 1:45.

The answer is therefore 1:45

The number of years it takes for the balance in your savings account to reach $5625.41 is 11 years

The formula for calculating compound interest is expressed as;

A =P(1+r)^t

Given the following

A =  $5625.41

P = $4000

r = 0.031

Substitute the given parameters into the formula to have:

$5625.41 = 4000(1.031)^t
1.4063525 = (1.031)^t
t = ln(1.4063525)/ln(1.031)

t = 0.34074/0.03052

t = 11 years

Hence the number of years it takes for the balance in your savings account to reach $5625.41 is 11 years

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Answer: C: pi/6 and 11pi/6 only

Step-by-step explanation:

Edge2020 :]

x = 144 degrees

We know there are 10 sides on this polygon, and we know the sum of interior angles in a regular polygon is represented as 180*(s-2) where s is the number of sides.

With this, we know that the sum of interior angles on a 10-sided regular polygon is 180*(10-2)=1440.

We also know that the measure of angle x = the measure of any other interior angle in the 10-sided polygon.

Using substitution, we know that 10x = 1440 degrees so x = 144 degrees.

The value of x for the 10-sided polygon is x = 144 degrees.

A polygon is a two-dimensional, closed shape that is flat or plane and is bounded by straight sides. Its sides are not curved. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge.

We know there are 10 sides on this polygon, and we know the sum of interior angles in a regular polygon is represented as 180*(s-2) where s is the number of sides.

With this, we know that the sum of interior angles on a 10-sided regular polygon is 180 x (10-2)=1440.

We also know that the measure of angle x = the measure of any other interior angle in the 10-sided polygon.

Using substitution, we know that 10x = 1440 degrees so x = 144 degrees.

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The probability of rolling no 2's and no 5's in 10 rolls is approximately 0.107.

The probability of rolling no 2's and no 5's on a fair die can be calculated using the formula for the probability of independent events:

P(A and B) = P(A) x P(B)

where P(A) is the probability of event A occurring, and P(B) is the probability of event B occurring.

The probability of rolling any number other than 2 or 5 on a single roll of a fair die is 4/6, or 2/3. Since each roll is independent, the probability of rolling no 2's and no 5's in n rolls can be calculated as follows:

P(no 2's and no 5's in n rolls) = (4/6)^n

To round the answer to three decimal places, we can use a calculator. For example, if n = 10, the probability is:

P(no 2's and no 5's in 10 rolls) = \((4/6)^10\) = 0.107

So the probability of rolling no 2's and no 5's in 10 rolls is approximately 0.107, rounded to three decimal places.

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Answer:

x = 4

Step-by-step explanation:

√x + 1 = 3

√x = 3 - 1

√x = 2

(√x)² = (2)²

x = 4

Answer:

x=2

y=3

Solution:

First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:

(4y-3x)/xy=1; (6y+15x)/xy=8

Then

4y-3x=xy;

6y+15=8xy

Multiply first equasion by 5

20y-15x=5xy

Now we add two equasions to get one

20y-15x=5xy

6y+15x=8xy

We get

26y=13xy

Cut "y" and we will find "x"

26=13x

x=2

Put x value into the first equasion(4y-3x=xy) to find out "y"

4y-6=2y

2y=6

y=3

Answer:

B=2, C=3, D=4, E=5

by strong induction, we can form any amount of money that is a multiple of $2$ greater than or equal to $2$.To prove this using strong induction, we need to show two things:

1. That we can form the amounts $2$ and $5$ using just $2$-dollar bills and $5$-dollar bills.
2. That if we can form any amount $n$ using just $2$-dollar bills and $5$-dollar bills, we can also form the amount $n+2$.

For the base case, it's clear that we can form the amounts $2$ and $5$.

For the inductive step, assume that we can form any amount $k$ using just $2$-dollar bills and $5$-dollar bills, where $k \geq 5$. We want to show that we can also form the amount $k+2$.

There are two cases to consider:

1. If we have at least one $5$-dollar bill, then we can form the amount $(k+2)$ by adding a $5$-dollar bill to the amount $(k-3)$, which we know we can form using just $2$-dollar bills and $5$-dollar bills.
2. If we don't have any $5$-dollar bills, then we must have at least two $2$-dollar bills. We can form the amount $(k+2)$ by using one of the $2$-dollar bills to form the amount $(k-3)$, which we know we can form, and then adding three more $2$-dollar bills.

Therefore, by strong induction, we can form any amount of money that is a multiple of $2$ greater than or equal to $2$.

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Answer:

D=3x+5, I=4x+8, -1x-3

Step-by-step explanation:

You don't know how many chocolates are in the boxes, so that's x. Always look at "and" and think + something. You know how many extra chocolates there are so you don't need to put the x. Remember, and=plus. Remember the equation is Mx+b.

The two expressions together is 3x+5=4x+8. Move the 4x to the other side with 3x+5 and make it negative. Same for eight. Hopefully that helps.

The  true statement about the quasi-experiment is , the researcher assigns participants to conditions based on the participant's preexisting level of the independent variable.

In a quasi-experiment, the researcher assigns participants to conditions based on the participant's preexisting level of the independent variable. However, unlike a true experiment, a quasi-experiment cannot control for all possible confounding variables and may not allow for the balancing of participant variables between groups. Therefore, while a quasi-experiment can provide some evidence of causality, it may not be as accurate as a true experiment in this regard.

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In a quasi-experiment, the researcher assigns participants to conditions based on the participant’s preexisting level of the independent variable.

A quasi-experiment is a research design that lacks the control of random assignment to groups. Instead, the researcher assigns participants to conditions based on pre-existing levels of the independent variable. This means that the groups may not be equivalent at the outset, and there is a greater risk of confounding variables affecting the results.

Therefore, we cannot balance participant variables between groups in a quasi-experiment, nor can we randomly assign participants to groups. While quasi-experiments can provide valuable information, they do not allow us to infer causality more accurately than other research designs.

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the sum x + y is at least 20. We can achieve this lower bound by choosing x = y = 10, since then xy = 100 and x + y = 20. This is the smallest possible value of the sum, so the two positive numbers are 10 and 10.

Let x and y be the two positive numbers whose product is 100, so xy = 100. We want to find the smallest possible value of x + y.

Using the AM-GM inequality, we have:

x + y ≥ 2√(xy) = 2√100 = 20

what is numbers?

Numbers are mathematical objects used to represent quantity, value, or measurement. There are different types of numbers, including natural numbers (1, 2, 3, ...), integers (..., -3, -2, -1, 0, 1, 2, 3, ...), rational numbers (numbers that can be expressed as a ratio of two integers), real numbers (numbers that can be represented on a number line), and complex numbers (numbers that include a real part and an imaginary part).

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Answer:

Final answer—- Niamh gets 12 pencils

Jack gets 21 pencils

Step-by-step explanation:

To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.

We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.

First, let's choose one red point. We have 8 options for this.

Next, let's choose one green point. We have 4 options for this.

Finally, let's choose one blue point. We have 6 options for this.

To determine the total number of triangles, we need to multiply the number of options for each color:

Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points

                      = 8 × 4 × 6

                      = 192

Therefore, there are 192 triangles with vertices of three different colors.

It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.

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The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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Given:

Quadrilateral QRST has diagonals that do NOT bisect each other, are congruent and are not perpendicular.

By checking the options:

Rhombus, rectangle and the square each of them the diagonals bisect each other

So, the answer will be option 4) Isosceles Tra

The graph of f(x) = -2⁻ˣ is given as attached.

To graph the function f(x) = -2⁻ˣ, we can follow these steps:

1. Choose a set of x-values to plot on the x-axis. Since the function has an exponent that involves negative powers of 2, we should choose values that are evenly spaced on the x-axis, such as -3, -2, -1, 0, 1, 2, and 3.

2. Substitute each x-value into the function to find the corresponding y-value. For example, when x = -3, we have f(-3) = -2⁻³ = -1/8. Similarly, we can find the y-values for the other x-values we chose.

3. Plot the points (x, y) on the graph. Make sure to label the axes and use a ruler or graphing software to ensure accuracy.

4. Connect the points with a smooth curve to show the shape of the function between the plotted points. Since the function has a negative exponent, it approaches zero as x gets larger, so the curve should approach the x-axis as it moves to the right.

The resulting graph should show a decreasing curve that gets closer and closer to the x-axis, without ever touching it, as x gets larger.

Note that the values of y for each x are:

When x = -3, y = -1/8

When x = -2, y = -1/4

When x = -1, y = -1/2

When x = 0, y = -1

When x = 1, y = -2

When x = 2, y = -4

When x = 3, y = -8

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Answer: -6

Step-by-step explanation:

See attached picture

The five-number summary is an approach used to summarize the information of a distribution, particularly the sample data.

In statistics, the IQR or interquartile range is a measure of dispersion, a robust measure of the scale of the dataset, and is commonly used to identify the presence of outliers. IQR = Q3 - Q1. Q1 is the first quartile, and Q3 is the third quartile. We know that: The five-number summary for a dataset is:10.2 13.5 15.1 17.2 18.9We must first calculate the quartiles in order to calculate the IQR. The first step is to determine the median.

So, 15.1 is the median for this dataset. To calculate the quartiles, divide the dataset into two halves: The first half contains the values that are less than or equal to the median. The second half contains the values that are greater than or equal to the median. Then, find the median for each of these halves. The median of the first half is 11.85, and the median of the second half is 18.05.The IQR is the difference between Q3 and Q1. IQR = Q3 - Q1. Q1 is the median of the first half, which is 11.85. Q3 is the median of the second half, which is 18.05.IQR = Q3 - Q1IQR = 18.05 - 11.85IQR = 6.2Therefore, the IQR for this dataset is 6.2.

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The pair that us the mean and standard error of x is [ 35, 2.071 ].

The Central Limit Theorem states that for a normally distributed random variable X, with mean μ and standard deviation σ equal to variance's square root, the sampling distribution of the sample means with size n can be roughly equivalent to a normal distribution with mean and standard deviation, which is also standard error.

s = σ / √n

We have,

Mean, μ = 35

Variance, σ = √300

Sample size, n = 70

Therefore, the standard deviation will be:

s = σ / √n

s = √300/ / √70

s = ( 17.3205080757 ) / 8.36660026534

s = 2.07019

The mean is the same, thus 35, according to the Central Limit Theorem. This indicates that the pair [35, 2.07019] represents the mean and standard error of x.

Hence, the correct option is (c).

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Answer:

Amount of trash added to the landfill everyday

Step-by-step explanation:

If 2000 represents the amount of trash added to the landfill everyday then 1000 is the starting amount.

I got it right on the test. Hope this helped!

Explicación paso a paso:

Dado

an = n + 3

bn = 5n-1

a) an-bn = n + 3- (5n-1)

= n + 3-5n + 1

= n-5n + 3 + 1

= -4n + 4

an-bn = 4-4n

b) an + 3bn = (n + 3) +3 (5n-1)

= n + 3 + 3 (5n) +3 (-1)

= n + 3 + 15n-3

= n + 15n + 3-3

= 16n + 0

= 16n

an + 3bn = 16n

3) Dado a1 = 1, a2 = 1

an = an-1 + an-2

Debemos escribir los primeros ocho términos de la secuencia.

a3 = a3-1 + a3-2

a3 = a2 + a1

a3 = 1 + 1

a3 = 2

a4 = a3 + a2

a4 = 2 + 1

a4 = 3

a5 = a4 + a3

a5 = 3 + 2

a5 = 5

a6 = a5 + a4

a6 = 5 + 3

a6 = 8

a7 = a6-a5

a7 = 8 + 5

a7 = 13

a8 = a7 + a6

a8 = 13 + 8

a8 = 21

Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21

Yes, w is in col(a) since w can be written as a linear equationof the columns in a. No, w is not in nul(a) since w cannot be written as a linear combination of the columns in a with all scalar coefficients being zero.

Yes, w is in col(a) since w can be written as a linear combination of the columns in a. A linear combination of two or more vectors is a vector that can be expressed as a sum of those vectors, with each vector scaled by a scalar (or coefficient). By expressing w as a linear combination of the columns in a, we are saying that w can be expressed as a sum of those columns, with each column scaled by a scalar.

No, w is not in nul(a) since w cannot be written as a linear combination of the columns in a with all scalar coefficients being zero. In other words, w cannot be expressed as a sum of the columns in a such that all coefficients are zero. This is the definition of nul(a): a subspace in which all linear combinations of the columns in a have a coefficient of zero. Since w cannot meet this requirement, then it is not in nul(a).

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When y = 6, the value of dx/dt is -6.

To find dx/dt when y = 6, we need to differentiate the equation x^2 + y^2 = 100 implicitly with respect to t and solve for dx/dt.

Differentiating both sides of the equation with respect to t, we get:

2x(dx/dt) + 2y(dy/dt) = 0

Substituting dy/dt = 8 and y = 6 into the equation, we have:

2x(dx/dt) + 2(6)(8) = 0

2x(dx/dt) + 96 = 0

2x(dx/dt) = -96

(dx/dt) = -96 / (2x)

Now, we need to find the value of x when y = 6. Substituting y = 6 into the original equation, we have:

x^2 + (6)^2 = 100

x^2 + 36 = 100

x^2 = 100 - 36

x^2 = 64

x = ±√64

x = ±8

Since the question asks for dx/dt when y = 6, we'll consider the positive value of x, x = 8.

Now, substituting x = 8 into (dx/dt) = -96 / (2x), we have:

(dx/dt) = -96 / (2 * 8)

(dx/dt) = -96 / 16

(dx/dt) = -6

Therefore, when y = 6, dx/dt = -6.

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Answer:

On distributing the - sign outside the parenthesis we get,

-2h - 9.6k + 1

Answer:

3.68 cm ^2

Step-by-step explanation:

A= b x h

A= 1.6 cm x 2.3 cm

A= 3.68 cm ^2

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

\(\frac{1}{36}\)

Step-by-step explanation:

The probability of having 1 is 1/6.

The probability of it happening twice in a row is 1/6 * 1/6 = 1/(6*6)=1/36