2/9 x 0.4 =
....................

Answer:

The angle of that is 90°

To dilate a point at a point, you start by selecting a center of dilation and a scale factor.

Then, for each point that you want to dilate, you do the following:

For example, if you wanted to dilate point P by a scale factor of 2, with the center of dilation at O, you would draw a line segment from O to P, double its length, and then draw a new line segment from O to the new point, using the new length that you calculated. The new point would be the point that you arrive at when you complete this line segment.

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To perform a hypothesis test on the proportion of people who subscribe to a cable television service versus others, we need to check the following conditions:

1. Random Sampling: Ensure that the sample is randomly selected, which means each person has an equal chance of being selected. This is important to avoid biases and ensure the sample is representative of the population.

2. Independence: If sampling without replacement, the sample size (n) should be less than 10% of the population size (N) to assume independence. This is called the 10% Rule. Independence is important because the outcome of one person's choice should not affect another person's choice.

3. Normality: We need to ensure that the sampling distribution of the sample proportion (p-hat) is approximately normal. This can be checked using the success-failure condition, which states that both np and n(1-p) should be greater than or equal to 10. This ensures that the distribution is sufficiently normal to apply the z-test.

To help the student, remind them to:

1. Verify that the sample is random.
2. Check the independence condition by confirming the sample size is less than 10% of the population size.
3. Check the normality condition by calculating np and n(1-p) and making sure both values are greater than or equal to 10.

It is crucial to check these conditions because if they are not met, the hypothesis test's results may not be valid or reliable. Meeting these conditions ensures that the statistical methods applied are appropriate and provide accurate results for making conclusions.

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a) With 98% confidence interval, the mean height of all college students is between 173.743 centimeters and 175.257 centimeters.

b) The possible size of our error if we estimate the mean height of all college students to be 174.5 centimeters is 0.976.

a) We want to construct a 98% confidence interval for the mean height of all college students.

Number of sample, n = 450

Mean, u = 174.5 centimeters

Standard deviation, s = 6.9 centimeters

For a confidence level of 98%, the corresponding z value is 2.33. This is determined from the normal distribution table.

We will apply the formula

Confidence interval = mean ± z × standard deviation/√n

It becomes

174.5 ± 2.33 × 6.9/√450

= 174.5 ± 2.33 × 0.325

= 174.5 ± 0.757

The lower end of the confidence interval is 174.5 - 0.757 =173.743

The upper end of the confidence interval is 174.5 + 0.757 =175.257

Therefore, with 98% confidence interval, the mean height of all college students is between 173.743 centimeters and 175.257 centimeters.

(b) The possible size of our error if we estimate the mean height of all college students to be 174.5 centimeters:

Thus, Error would be:

σ /√n

= 6.9/√50

= 0.976

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Answer:

3.5.

Step-by-step explanation:

3^2 = 9

and 4^2 = 16 so the square root is between 3 and 4.

Take a rectangle 3.4 by 3.6:

the area = 3.4 * 3.6 = 12.24 so an estimate of the square root could be 3.5.

3.5 * 3.5 = 12.25.

Answer:

3. B

4. C

Tell me if you need an explanation, I can add it for you :D

Answer:

Yes lol

Step-by-step explanation:

Well the app says it helps people learn the answers but when I'm in a test i just look at letters:)

Answer:

I mean i'm the type to give a long winded answer. But i guess it depends on the context. Sometimes people ask for an explanation yk? Like most of those ppl who ask questions for History and English need a written response.

Answer:

Step-by-step explanation:

20% written as a decimal is 0.2

answer:

Step-by-step explanation:

b. 0.2

came here for points

the probability density function (PDF) of Z = X + Y is given by: fZ(z) = z, for 0 ≤ z ≤ 1 = 0, otherwise. This means that Z has a triangular distribution with a PDF that linearly increases from 0 to 1 over the range [0, 1], and then remains 0 outside that range.

What is probability density function?

A probability density function (PDF) is a mathematical function that describes the probability distribution of a continuous random variable. It is used to define the likelihood of a random variable taking on a specific value or falling within a certain range of values.

To determine the probability density function (PDF) of the random variable Z = X + Y, where X and Y are independent uniform random variables with range [0, 1], we can use the convolution of the PDFs of X and Y.

First, let's recall the PDF of a uniform random variable. A uniform random variable U with range [a, b] has a constant PDF given by:

fU(u) = 1 / (b - a), for a ≤ u ≤ b

= 0, otherwise

In this case, for X and Y with range [0, 1], the PDFs are:

fX(x) = 1, for 0 ≤ x ≤ 1

= 0, otherwise

fY(y) = 1, for 0 ≤ y ≤ 1

= 0, otherwise

Now, let's find the PDF fz of Z = X + Y by convolution:

fZ(z) = ∫ fX(x) * fY(z - x) dx

Since X and Y are independent, fY(z - x) = fY(z) since the range of Y is [0, 1].

fZ(z) = ∫ fX(x) * fY(z) dx

As the PDFs of X and Y are both 1 in the range [0, 1], the integral becomes:

fZ(z) = ∫ 1 * 1 dz

Since the integration bounds are not dependent on z, the integral evaluates to:

fZ(z) = ∫ 1 dz = z

Therefore, the probability density function (PDF) of Z = X + Y is given by:

fZ(z) = z, for 0 ≤ z ≤ 1

= 0, otherwise

This means that Z has a triangular distribution with a PDF that linearly increases from 0 to 1 over the range [0, 1], and then remains 0 outside that range.

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Let her daily allowance be RMy.

0.25y x 14 = 28

0.25y=2

y=8

Therefore, her daily allowance is RM8.

Answer:

\(x=8\)

Step-by-step explanation: \(25\)%\(\times14\times\)\(x=28\)

Solve the equation

\(0.25\times14x=28\)

Multiply the monomials

\(3.5x=28\)

Divide both sides of the equation by the coefficient of variable

\(x=\frac{28}{3.5}\)

Multiply both the numerator and denominator with the same integer

\(x=\frac{280}{35}\)

Cross out the common factor

\(x=8\)

I hope this helps you

:)

The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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Answer: Let the side length of the square rug be x, and the dimensions of the rectangular rug be l and w.

In the first arrangement, the three rugs are arranged side by side, with the rectangular rugs aligned vertically and the square rug aligned horizontally. The length of this arrangement is l + 2x, and the width is w. We know that the length is 3 times the width, so we can write:

l + 2x = 3w

In the second arrangement, the two rectangular rugs are arranged side by side, with the square rug placed on top. The length of this arrangement is l, and the width is w + x. We know that the length is twice the width, so we can write:

l = 2(w + x)

We now have two equations with two unknowns, l and w:

l + 2x = 3w

l = 2(w + x)

Substituting the second equation into the first, we get:

2(w + x) + 2x = 3w

4x = w

Substituting this value of w into the second equation, we get:

l = 2(4x) = 8x

So the dimensions of the rectangular rug are 4x by x, and the dimensions of the square rug are x by x.

To find the value of x, we use the measurements given in the diagram:

l + 2x = 60

l = 36

Substituting into the equation l = 2(w + x), we get:

36 = 2(4x + x)

36 = 10x

x = 3.6

So the side length of the square rug is 3.6 feet.

Step-by-step explanation:

Answer:

The angle is 90, my friend gave the answer as 10, so he is incorrect

The complement of the angle is not 10 but 0

The measure of the supplement is 90 degrees

Step-by-step explanation:

The complement of an angle is simply the value of 90 minus the angle

The supplement of an angle is simply the value of 180 minus the angle

So let’s say the angle we are looking at is x

The complement of the angle will be 90 - x

The supplement of the angle will be 180-x

so from the question;

x = 90-x + 180-x

x = 270 - 2x

2x + x = 270

3x = 270

x = 270/3

x = 90

The measure of the angle is 90 degrees

the measure of the complement of this angle is 90-90 = 0 degrees

The measure of the complement is 180-90 = 90 degrees

Answer:

all real numbers

Step-by-step explanation:

the arrows show that it is continuing therefore it is all real numbers

422₅ - 143₅ = 224₅

We convert each number to base 10.

So 422₅ = 4 × 5² + 2 × 5¹ + 2 × 5⁰

= 4 × 25 + 2 × 5 + 2 × 1

= 100 + 10 + 2

= 112₁₀

143₅ = 1 × 5² + 4 × 5¹ + 3 × 5⁰

= 1 × 25 + 4 × 5 + 3 × 1

= 25 + 20 + 3

= 48₁₀

So 422₅ - 143₅ = 112₁₀ - 48₁₀ = 64₁₀

We now convert 64₁₀ to base 5

64 ÷ 5 = 12 r 4,

12 ÷ 5 = 2 r 2

2 ÷ 5 = 0 r 2

Counting upwards,

So, 65₁₀ = 224₅

So, 422₅ - 143₅ = 224₅

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Answer:

a = -3

Step-by-step explanation:

a − 2 + 3 = −2

Combine like terms

a+1 = -2

Subtract 1 from each side

a+1-1 = -2-1

a = -3

Answer:

a-2+3=-2

a+1=-2

a=-2-1

a=-3

The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

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Answer: a) b - 3

              b) 4b - 3

Step-by-step explanation:

b) b + 2b + b - 3

= 4b -3

Answer:

a)  b - 3

b)  4b - 3

Step-by-step explanation:

Mandy scores b points in a basketball game:

Jay scores 3 points less than Mandy:

Kareem scores 2 times as many points as Mandy:

Therefore, the number of points Jay scores in terms of b is b - 3.

To find the total number of points the three players score in terms of b, sum the three expressions:

⇒ b + (b - 3) + 2b

⇒ b + b - 3 + 2b

⇒ 2b - 3 + 2b

⇒ 4b - 3

Therefore the total number of points the three players score in terms of b is 4b - 3.

Graphically, the feasible solutions represent the points in the x-y plane that are inside the region defined by the three lines, and they can be found by plotting the three lines and shading the region below each line. The feasible solutions are the points in the shaded region that are common to all three.

Let x be the number of cubic yards of mix A used, and y be the number of cubic yards of mix B used. Then the total amount of phosphoric acid, nitrogen, and potash can be expressed as follows:

Phosphoric acid: 20x + 10y >= 460

Nitrogen: 30x + 30y >= 960

Potash: 5x + 10y >= 220

These inequalities represent the minimum monthly requirements for phosphoric acid, nitrogen, and potash. To find the feasible solutions, we need to find the values of x and y that satisfy all three inequalities simultaneously. This can be done graphically by plotting the three inequalities on the same coordinate plane and finding the region that is common to all three.

To plot the inequalities, we can choose convenient values for x and y, substitute them into the inequalities, and find the corresponding values of the right-hand side. For example, if we choose x = 0 and y = 0, then we have:

Phosphoric acid: 20 * 0 + 10 * 0 >= 460

Nitrogen: 30 * 0 + 30 * 0 >= 960

Potash: 5 * 0 + 10 * 0 >= 220

which gives us:

Phosphoric acid: 0 >= 460

Nitrogen: 0 >= 960

Potash: 0 >= 220

These values are all negative, which means that x = 0 and y = 0 do not satisfy the inequalities.

Next, we can choose x = 1 and y = 0, then we have:

Phosphoric acid: 20 * 1 + 10 * 0 >= 460

Nitrogen: 30 * 1 + 30 * 0 >= 960

Potash: 5 * 1 + 10 * 0 >= 220

which gives us:

Phosphoric acid: 20 >= 460

Nitrogen: 30 >= 960

Potash: 5 >= 220

These values are also negative, which means that x = 1 and y = 0 do not satisfy the inequalities either.

We can continue this process until we find values of x and y that satisfy all three inequalities. The feasible solutions are the values of x and y that satisfy all three inequalities, and they are represented by the region in the x-y plane that is common to all three. The feasible solutions can be found by shading the region below each of the lines representing the inequalities, and the set of feasible solutions is the region that is common to all three shaded regions.

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a) the corresponding standardized value (z) for x = 4.1 is approximately 1.39.

b) The area under the standard normal probability density function from negative infinity to z is interpreted as the probability that the random variable is less than or equal to z.

a) To calculate the standardized value (z) for the point x = 4.1, we can use the formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

In this case, x = 4.1, μ = 0.33, and σ = 2.69. Plugging these values into the formula:

z = (4.1 - 0.33) / 2.69

z ≈ 1.39

So, the corresponding standardized value (z) for x = 4.1 is approximately 1.39.

b) The area under the standard normal probability density function from negative infinity to z is interpreted as the probability that the random variable is less than or equal to z.

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Answer: The answer is B

Step-by-step explanation:

Answer:

numbers are 3x,2x,5x

so 3x+2x+5x=10x=840

so x=84

so numbers are 252,168,420

Answer:

Let the breadth is x, then the length is 3x.

The area is:

The breadth is decreased by 2 m:

The length is increased by 4m:

The area is now:

The breadth was 4 m and the length  12 m

Descriptive statistics are those that involve gathering, arranging, and summarizing data.

Brief informational coefficients known as descriptive statistics are used to sum up a given data set, which may be a sample of a population or a representation of the entire population. Measures of the central tendency or measures of variability make up descriptive statistics (spread).

A descriptive statistic's main function is to summarize data. Only the data set from which they were derived are statements made by descriptive statistics; they never extend further than the data you have.

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The size of a sample is related to the spread of the sampling distribution in that the larger the sample size, the less the spread.

As the sample size increases, the sampling distribution of p becomes increasingly concentrated around the true population proportion p. This is because, as the sample size increases, the number of possible random samples of size n becomes larger, making it more likely that the observed sample proportion will be close to the true population proportion.

The mean of the sampling distribution of p is p, which is the true population proportion. The standard deviation of the sampling distribution of p (σp) can be calculated using the formula:

σp = √((p)(1-p))/n

where p is the true population proportion and n is the sample size. This standard deviation indicates how closely the sample proportion is likely to match the true population proportion. The smaller the standard deviation, the more closely the observed sample proportion is likely to match the true population proportion.

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Answer:

7x-3y

Step-by-step explanation:

3x-5x-7y+9x+4y

3x-5x+9x-7y+4y

7x-3y

Answer:

Step-by-step explanation:

the sum of the interior angles in a triangle is 180°, so we solve withy an equation

4x + 5x + 5 + 103 = 180°

9x = 180 - 5 - 103

9x = 72

x = 72 : 9

x = 8

----------------------------------

check

4 x 8 + 5 x 8 + 5 + 103 = 180        (remember PEMDAS)

32 + 40 + 5 + 103 = 180

the answer is good

Answer:

x = 8

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

We know that,

→ Sum of all angles in a triangle is 180°.

Forming the equation,

→ 4x + 103° + (5x + 5)° = 180°

Then the value of x will be,

→ 4x + 103° + (5x + 5)° = 180°

→ (4x + 5x) + (103° + 5°) = 180°

→ 9x + 108° = 180°

→ 9x = 180° - 108°

→ 9x = 72

→ x = 72/9

→ [ x = 8 ]

Hence, the value of x is 8.

Answer:

-12 <3

Step-by-step explanation:

Answer:

-7 + 16 ÷ 2^4 + (10-4^2)

-7 + 16 ÷ 2^4 + (-6)

-7 + 16 ÷ 16 + (-6)

-7 + 1 + (-6)

-6 + (-6)

-12

After answering the provided question, we can conclude that the average (arithmetic mean) of 2x and 2y is 48.

The mean of a dataset is the sum of all values divided by the total number of values; this is also known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the total number of values in the dataset by the sum of those values yields this result. Calculations can be performed using both raw data and data that has been combined into frequency tables. The average of a number is referred to as its average. It is simple to calculate: Divide the total number of digits by the number of digits. the total divided by the count.

The average (arithmetic mean) of 2x and 2y is 48.

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