I need help, i don’t understand how to do it

Answer:

1: 60

3: 60

2:120

4: 120

5: 30

6: 30

Step-by-step explanation:

Answer:

x=43

Step-by-step explanation:

since we know already two values (90 which is the right angle and 47)

we can do 90+47 =137

180(angles in a triangle)- 137= 43

Answer:

13.20 or 1.5%.

Step-by-step explanation:

Since Emily borrowed 880, you need to subtract 893.20 from 880. That equals 13.20. The percentage of interest is 1.5 because 6 months is half of a year and the annual interest rate is 3 percent.

z-test will help you analyze the sample mean and make inferences about the population mean.

The normal population and a large sample with a known standard deviation, the appropriate statistical test to use would be the z-test.

The z-test is a hypothesis test that is used to determine whether the sample mean is significantly different from the population mean.

It is a parametric test that assumes the sample is normally distributed and the population standard deviation is known.
To perform a z-test, you would first calculate the z-score by subtracting the population mean from the sample mean and dividing by the standard deviation divided by the square root of the sample size.

You would then consult a z-table or use a statistical software package to determine the p-value associated with the z-score. If the p-value is less than the level of significance (usually 0.05), you would reject the null hypothesis and conclude that the sample mean is significantly different from the population mean.
The z-test is a powerful tool for hypothesis testing, particularly when dealing with large samples and known population standard deviation.

It allows researchers to make inferences about a population based on a sample, providing valuable insights into the behavior of the larger population.

However, it is important to ensure that the assumptions of the test are met before using it, as violating these assumptions can lead to inaccurate results.

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False. All values in a dataset with a normal distribution can be converted to a z-score.

False. All values in a dataset with a normal distribution can be converted to a z-score. The z-score standardizes the data, allowing for comparisons across different distributions by representing the number of standard deviations a data point is away from the mean.

A continuous random variable that tends to cluster around a centre or average value with a particular degree of spread or variation is described by the normal distribution, commonly referred to as the Gaussian distribution. The maximum frequency is near the mean and decreases in frequency as one moves farther away from the mean in both directions. It is a symmetrical bell-shaped curve.

The standard normal distribution, in which the mean and standard deviation are both 0, is a particular instance of the normal distribution. The standard score, also referred to as the z-score, is a measurement of how many standard deviations a data point deviates from the distribution's mean. The difference between the observation's value and the mean is used to calculate it.

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False. All values in a dataset with a normal distribution can be converted to a z-score.

The z-score transformation is used precisely to transform values from a normal distribution to a standard normal distribution, which has a mean of 0 and a standard deviation of 1.

All values in a dataset with a normal distribution can be converted to a z-score.

The statement "not all values in a dataset with a normal distribution can be converted to a z-score" is false.

A z-score represents the number of standard deviations a data point is away from the mean of a distribution and can be calculated for any value within a normal distribution.

In fact, the conversion of values to z-scores is a common method of standardizing data for statistical analysis.
To calculate a z-score, you subtract the mean of the distribution from the individual value and then divide the result by the standard deviation of the distribution.

This transformation allows for easier comparison between data points and across different datasets.

Z-scores can also be used to calculate probabilities and determine the likelihood of certain events occurring within a distribution.
While it is true that some datasets may not follow a normal distribution, this does not mean that z-scores cannot be calculated for all values within the dataset.

The distribution is not normal, other statistical techniques such as transformation or non-parametric tests may be necessary.

A normally distributed dataset, every value can be converted to a z-score, allowing for standardized comparisons and analysis.

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The slope of the ideal vector, determined by examining the coefficients of the variables in the regression equation is:

Cleaning Ability: 2.3

Cost: 1.0

Disinfecting Ability: 0.6.

In this case, the regression equation is:

Overall Preference = -2.1 + 2.3 * Cleaning Ability + 1.0 * Cost + 0.6 * Disinfecting Ability

The coefficients of the variables represent the weights or importance assigned to each variable in determining the overall preference. Therefore, the slope of the ideal vector would be the coefficients of the variables in the regression equation.

Based on the given regression equation, the slope of the ideal vector would be:

Cleaning Ability: 2.3

Cost: 1.0

Disinfecting Ability: 0.6

These values indicate the relative importance or impact of each variable on the overall preference for Slippery Soap.

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Rewrite the ratios in such a way that the number that corresponds to b is the same in both.

Since a:b = 2:5 and b:c = 3:4, then, the numbers that correspond to b are 5 and 3.

The least common multiple of 3 and 5 is 15. Multiply the first ratio by 3 and the second ratio by 5 in order to get two ratios with the same number for b:

Since a:b = 6:15 and b:c = 15:20, then:

Therefore, the answer is: a:b:c = 6:15:20.

If P=Q and both P and Q are positive, then n = 54.

To determine the value of n:

Call this Np(n,k).

Lastly, specialize to k=7 and we have to find some n such that Nq(n,k)=Np(n,k).

Therefore, if P=Q and both P and Q are positive, then n = 54.

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The correct question is given below:
In a certain lottery, 7 balls are drawn at random (without replacement) from n balls numbered 1 through n.

Let P be the probability that no pair of consecutive numbers is drawn. Let Q be the probability that exactly one pair of consecutive numbers is drawn.

If P=Q and both P and Q are positive, then determine n with proof.

The line drawing tool is used to draw the equations Y=1+1.50X and Y= 18-1.25X and the intersection point is labeled.

To draw the lines and indicate the point of intersection, you can follow these steps:

1. Draw a coordinate system on a piece of paper or using a drawing software.

2. For line A, plot two points on the coordinate system using the equation Y = 1 + 1.50X. Choose any two X values and calculate the corresponding Y values using the equation.

3. Connect the two points with a straight line and label it as line A.

4. For line B, plot two points on the coordinate system using the equation Y = 18 - 1.25X. Choose any two X values and calculate the corresponding Y values using the equation.

5. Connect the two points with a straight line and label it as line B.

6. Find the point of intersection between line A and line B. This is the point where both equations are equal. You can calculate this point by solving the system of equations Y = 1 + 1.50X and Y = 18 - 1.25X simultaneously.

7. Once you find the X and Y values of the point of intersection, mark it on the coordinate system and label it as 'Equilibrium'.

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Answer:Around 14.7 minutes

Step-by-step explanation:

if q= the amount of time, and p=18 you do 12*18 is 216 and radical 216 is 14.6969, (nice). Please let me know if i am inncorrect i am not 100% sure.

If f(x) = x - 5, then

f(h) = h - 5

f(x + h) = (x + h) - 5

(f(x + h) - f(x))/h = (((x + h) - 5) - (x - 5))/h

(f(x + h) - f(x))/h = (x + h - 5 - x + 5)/h

(f(x + h) - f(x))/h = h/h

(f(x + h) - f(x))/h = 1

since h ≠ 0.

The expressions of the functions are:

f(h) = h - 5

f(x + h) = x + h - 5

[f(x + h) - f(x)] / h = 1

Given the function f(x) = x - 5, let's calculate the following expressions:

f(h):

To find f(h), we substitute h into the function:

f(h) = h - 5

f(x + h):

To find f(x + h), we substitute (x + h) into the function:

f(x + h) = (x + h) - 5

= x + h - 5

[f(x + h) - f(x)] / h:

To find [f(x + h) - f(x)] / h, we substitute (x + h) and x into the function:

[f(x + h) - f(x)] / h = [(x + h) - 5 - (x - 5)] / h

= (x + h - x + 5 - 5) / h

= h / h

= 1

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Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

To find the number of cups of rice that remained in the box, we need to calculate three-fourths (3/4) of the total amount of rice in the box.

The total amount of rice in the box is given as five and two-thirds cups. To work with a fraction, we can convert the mixed number to an improper fraction:

5 and 2/3 = (5 * 3 + 2) / 3 = 17/3 cups

Now, we can find three-fourths (3/4) of 17/3:

(3/4) * (17/3) = (3 * 17) / (4 * 3) = 51/12 = 4 and 3/12 = 4 and 1/4 cups

Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

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Answer:

\(\large\boxed{8 \div(x - y)}\)

Step-by-step explanation:

Sentence: The quotient of 8 and the difference of x and y

We know that:

Quotient = division

Difference = subtraction

Write out the sentence in an equation:

The quotient of 8 and the difference of x and y.

\(\large\boxed{8 \div(x - y)}\)

Let me know if you have any questions!

The probability of winning exactly 21 times is 0.14

Binomial probability refers to the probability of exactly 'x' successes on 'n' repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

Probability 'P' = ⁿCₓ (probability of 1st)ˣ x (1 - probability of 1st)ⁿ⁻ˣ

For example:

What is the probability of getting 6 heads, when you toss a coin 10 times?

In a coin-toss experiment, there are two outcomes: heads and tails. Assuming the coin is fair , the probability of getting a head is 1/2 or 0.5 .

The number of repeated trials: n=10

The number of success trials: x = 6

The probability of success on individual trial: p = 0.5

Use the formula for binomial probability.

¹⁰C₆ (0.5)⁶ x (1 - 0.5)¹⁰⁻⁶

Simplify.

≈0.205

Here, we have given that:

Probability of winning on an arcade game is 0.659

so, Probability of loosing on an arcade game is 1-0.659 = 0.341

Number of times game played = 30

Probability of winning exactly 21 times = ?

now, n = 30

x = 21

probability of 1st or probability of winning = 0.659

1 - probability of 1st or probability of loosing = 0.341

using, binomial probability formula

Probability of winning exactly 21 times = ³⁰C₂₁ (0.659)²¹ x (0.341)⁷

on solving,

Probability of winning exactly 21 times = 0.14

Hence,

The probability of winning exactly 21 times is 0.14

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The probability of winning exactly 21 times is 0.14 when the probability of winning the arcade game is 0.659.

We know that binomial probability is given by:

Probability (P) = ⁿCₓ (probability of 1st)ˣ x (1 - probability of 1st)ⁿ⁻ˣ

We are given that:

Probability of winning on an arcade game = P(A) = 0.659

So, the Probability of loosing on an arcade game will be = P'(A) = 1 - 0.659 = 0.341

Number of times the game is being played = 30

We have to find the Probability of winning exactly 21 times.

Here,

n = 30

x = 21

P(A) = 0.659

P'(A) = 0.341

Using the binomial probability formula, we get that:

Probability of winning exactly 21 times :

P(21 times) = ³⁰C₂₁ (0.659)²¹ x (0.341)⁷

P( 21 times ) = 0.14

Therefore, the probability of winning exactly 21 times is 0.14

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Answer: A' ( -1,4) , B' (-4,4), C'(  -5 ,-1), D'( -1,-5)

Im not 100% sure its correct, its hard without an image or a picture of the problem

Step-by-step explanation:

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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Randomization in an experiment is important because it ensures that the results achieved are accurate .

Randomization in an experiment refers to a random assignment of participants to the treatment in an experiment .

Randomizing the experiments can help you get the best cause-effect relationships among the variables. It helps in controlling the lurking variables . These variables can affect the results to be different from what they are supposed to be . Randomization prevents biases and makes the results fair.

For ensuring that the information obtained from the experiment is correct, A randomized experiment is perfect to help us .

Researchers control values of the explanatory variable with a randomization procedure. So, if we see a relationship between the explanatory variable and response variables, we can say that it is a causal one.

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To determine the constants to, a, and B in the given Euler equation, more information, such as initial or boundary conditions is required.

The given Euler equation (t – to)?y" + alt - to)y' + By = 0 has the general solution y(t) = Cit? cos(in |t|) + cat sin(In \tſ), t = 0.

Given the Euler equation: (t – to)?y" + alt - to)y' + By = 0

Given the general solution of the equation: y(t) = Cit? cos(in |t|) + cat sin(In \tſ), t = 0

To determine the constants to, a, and B in the equation, additional information such as initial or boundary conditions is required.

Without any initial or boundary conditions, the values of the constants cannot be uniquely determined.

The initial or boundary conditions can be used to solve for the constants.

For example, if y(0) = 1 and y'(0) = 0 are given, the constants can be solved for using the general solution of the equation.

Therefore, to determine the constants to, a, and B in the given Euler equation, more information, such as initial or boundary conditions is required.

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Answer:

a = 8

Step-by-step explanation:

a + 7 = 15

a + 7 - 7 = 15 - 7   Subtract 7 from both sides.

a = 8

Answer is

A = 8

Because 8 + 7 = 15

The other way to explain we need to subtract 7 ( 7 -7 = 0 and 15 - 7 = 8 ) both sides so after subtracting you will get  8

Answer:

Reflection across x = -2; clockwise rotation of 90° about the origin  

Step-by-step explanation:

Assume that the mapping is like that in Fig. 1.

1. Reflection about x = -2

It looks like the first transformation is a reflection about the line x = -2

When you reflect a shape about a line, each point in the image is the same distance from the line of reflection as the corresponding point in the pre-image.  

The rule for reflection about a line x = h is (x,y) ⟶ (2h - x, y}

We can use the rule to calculate the coordinates of the first image.

\(\begin{array}{cc}\textbf{A} & \textbf{A"} \\(-5,5) & (1,5) \\(-2,5) & (-2,5) \\(-1,1) & (-3,1) \\(-4, 1) & (0,1) \\\end{array}\)

2. Rotation 90° clockwise about the origin

It looks like the second transformation is a 90° clockwise rotation about the origin.

The rule is (x,y) ⟶ (y,-x).

In other words, interchange x and y and make x negative.

\(\begin{array}{cc}\textbf{A"} & \textbf{A'} \\(1,5) & (5,-1) \\(-2,5) & (5,2) \\(-3,1) & (1,3) \\(0, 1) & (1,0) \\\end{array}\)

These are the coordinates of P'Q'R'S'.

Figure 2 shows the reflection of A across the line x = -2 to give A" and its rotation to give A'.

Answer:

Reflection across x = -2; clockwise rotation of 90° about the origin

Step-by-step explanation:

Answer:

11 because you add all the exponents to find the answer 6+4=10 but since R has no number we assume there is an invisible 1 making it 11 :)

Step-by-step explanation:

The perfect square after 144 is the number 169 .

The Perfect Square is defined as the number that can be expressed as  product of an integer by itself .

For example, 36 is a perfect square because it is product of integer 6 by itself, 6 × 6 = 36 . Whereas , the number 15 is not a perfect square because it cannot be expressed as product of two same integers .

The number 144 is the perfect square of integer 12 ,

so the next integer 13 , the square of 13 is = 13 × 13 = 169 .

Therefore , the next perfect square after 144 is 169 .

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Answer:b

Step-by-step explanation:

Plato

Answer:

Bodmas in full is Bracket Of Division

Bracket Of Division Multiplication Addition and Subtraction

\(2 + 4 \times 6 \div 3\)

\(2 \div 3 \times 6 + 4\)

\(0.66666 \times 6 + 4\)

\(4 + 4\)

\( = 8\)

hope that helps you

The solution for the other variable, according to the stated statement, is\(X = 6^y\) and \(y = 21 * 2^X\)

Exponential numbers are represented by an, where an is multiplied by itself n times. An easy example is 8=2³=222. In exponential notation, an is known as the base, whereas n is known as the power, exponent, or index. Scientific notation is an example of an exponential number, with 10 usually typically serving as the base number.

Exponential functions are often employed in the biological sciences to describe the amount of a certain quantity over time, such as population size. Experiment data graphs are often created with time on the x-axis and amount on the y-axis.

a. y = log6(X)

\(6^y = X\)

\(X = 6^y\)

b. \(X = log2(y/21)\)

\(2^X = y/21\)

\(21 * 2^X = y\)

\(y = 21 * 2^X\)

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By induction, it can be concluded that if we remove the root of a k-th order binomial tree, it results in k binomial trees of the smaller orders.

1. To prove by induction that if we remove the root of a k-th order binomial tree, it results in k binomial trees of the smaller orders, we can use the following steps:

2. Base case: For k = 1, we have a single node, and if we remove the root, there is no tree left.

3. Inductive hypothesis: Suppose that the result holds for some k = n, that is, if we remove the root of an n-th order binomial tree, it results in n binomial trees of the smaller orders.

4. Inductive step: We need to prove that the result also holds for k = n + 1. To do this, we consider a (n + 1)-th order binomial tree. According to the definition, this tree is formed by joining two n-th order binomial trees. Let's call them T1 and T2. If we remove the root of this tree, the two subtrees T1 and T2 will become the n binomial trees of the smaller orders. These n binomial trees are all distinct because they correspond to the different possible combinations of nodes in the two subtrees T1 and T2.

Therefore, by induction, it can be concluded that if we remove the root of a k-th order binomial tree, it results in k binomial trees of the smaller orders.

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So, Tracy paid $12.50 for the encyclopedia and $45.50 for the math book.

In mathematics, an equation is a statement that shows the equality between two expressions. The expressions can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. An equation usually has an equals sign (=) between the two expressions. The equals sign indicates that the two expressions have the same value.

Here,

Let's use variables to represent the prices of the math book and the encyclopedia.

Let x be the price of the encyclopedia.

According to the problem, the price of the math book is 8 dollars more than 3 times the price of the encyclopedia. So, the price of the math book can be represented as:

=3x + 8

The total cost of the two books is given as 58 dollars. Therefore, we can write the equation:

x + (3x + 8) = 58

Simplifying and solving for x, we get:

4x + 8 = 58

4x = 50

x = 12.50

So, the price of the encyclopedia is $12.50.

To find the price of the math book, we can substitute x = 12.50 into the expression we derived earlier:

=3x + 8

= 3(12.50) + 8

= 37.50 + 8

= 45.50

Therefore, the price of the math book is $45.50.

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