Please help

Given the following diagram, order the angles from least to greatest.

Answer:

Last one hard to explain

Answer:

4 cups

Step-by-step explanation:

2 divided by 1/2 is 4 so there are 4 half cups of sugar.

Since the sugar is multiplied by 4 you have to multiply the flour by 4.

1*4=4

Answer:

13.3041346957 Ft. ( Or 13.30 Ft. )

Step-by-step explanation:

Formula: A^2 + B^2 = C^2

Substitution: 9^2 + 6^2 = 117

√177 = 13.3041346957

13.3041346957 ( Rounded ( Hundredths Place ) = 13.30 Ft .

The 95% confidence interval for the population standard deviation σ, based on a random sample of 15 crates with a mean weight of 165.2 pounds and a standard deviation of 10.4 pounds, is approximately (7.991, 18.292) pounds.

To construct a confidence interval for the population standard deviation σ, we can use the chi-square distribution. The formula for the confidence interval is given as:

Lower Limit = (n - 1) * s^2 / χ^2(α/2, n-1)

Upper Limit = (n - 1) * s^2 / χ^2(1 - α/2, n-1)

Where n is the sample size, s is the sample standard deviation, χ^2(α/2, n-1) represents the chi-square value at α/2 with n-1 degrees of freedom, and χ^2(1 - α/2, n-1) represents the chi-square value at 1 - α/2 with n-1 degrees of freedom.

Given the sample size of 15, sample standard deviation of 10.4 pounds, and a desired confidence level of 95% (α = 0.05), we can find the appropriate chi-square values and calculate the lower and upper limits of the confidence interval.

By substituting the values into the formula, we find that the lower limit is approximately 7.991 pounds and the upper limit is approximately 18.292 pounds. This means we can be 95% confident that the population standard deviation falls within this range.

Constructing confidence intervals helps us estimate the range in which the true population parameter lies, providing valuable information for decision-making and further analysis.

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Complete question:

Construct a 95% confidence interval for the population standard deviatation\sigmaof a random sample of 15 crates which have a mean weight of 165.2 pounds and a standard deviation of 10.4 pounds. Assume the population is normally distributed.

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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a) The probability of failing to meet the specification limit of 45-pounds tensile strength 15.87%.

b) The number of parts that would not meet the specification is 7,935.

a) Given that the tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds.

We have to find the probability of failing to meet the specification limit of 45-pounds tensile strength.

Using the standard normal distribution, we can find the probability of failing to meet the specification limit of 45 pounds as follows:

z = {45 - 40}/{5}

= 1

The probability of failing to meet the specification limit of 45 pounds is the probability that the standardized variable Z is greater than 1, which is given by:

P(Z > 1) = 0.1587

Therefore, the probability of failing to meet the specification limit of 45-pounds tensile strength is 0.1587 or 15.87%.

b) If the probability of failing to meet the specification is 0.1587, the probability of meeting the specification limit is

1 - 0.1587 = 0.8413

.If 50,000 parts are produced, then the expected number of parts that meet the specification limit is:

0.8413* 50,000 =  42,065.

Therefore, the number of parts that would not meet the specification is: 50,000 - 42,065 = 7,935.

Hence, about 7,935 parts would not meet the specification.

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We need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

In the question, we are given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

We are asked the number of times the spinner must be spun to expect a multiple of 4 30 times.

The possible outcomes of a multiple of 4 are 4, 8, and 12.

Thus, the number of possible outcomes are 3.

The total number of outcomes are 15.

Thus, the probability of getting a multiple of 4 in one spin = 3/15 = 1/5.

Thus, to expect a multiple of 4 once, we need to spin the spinner 5 times.

Thus, to expect a multiple of 4 30 times, we need to spin the spinner 5 * 30 = 150 times.

Thus, we need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

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Answer:

The spinner is expected to spin 150 times for a multiple of 4 to be spun 30 times.

from the question, given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

now, find the how many spins are expected for a multiple of 4 to be spun 30 times.

The multiple of 4 are 8, 12 and 15.

so the number of favourable outcomes be 3.

the total number of outcomes is 15.

Now the

\(probability = 3 \div 5 = 1 \div 5\)

so for 30 times of multiple of 4, we need to the spinner \(5 \times 30 = 150 \: times\)

Therefore,The spinner is expected to spin 150 times for a multiple of 4 to be spun 30 times.

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Answer:

Step-by-step explanation:

To solve this problem, we need to use the Central Limit Theorem, which states that the distribution of the sample means approaches a normal distribution as the sample size increases.

First, we need to find the mean and standard deviation of the sample mean hardness. The mean is simply the population mean, which is given as 50.5. The standard deviation of the sample mean is given by the formula:

standard deviation of sample mean = population standard deviation / sqrt(sample size)

The population standard deviation is given as 0.5, and the sample size is 35, so:

standard deviation of sample mean = 0.5 / sqrt(35) = 0.084

Next, we need to standardize the sample mean hardness using the z-score formula:

z = (sample mean hardness - population mean) / (standard deviation of sample mean)

z = (51 - 50.5) / 0.084 = 5.95

Finally, we need to find the probability that a standard normal distribution is greater than or equal to 5.95. This can be done using a z-table or a calculator. Using a calculator, we get:

P(Z ≥ 5.95) ≈ 0

Therefore, the approximate probability that the sample mean hardness for a random sample of 35 pins is at least 51 is very close to 0.

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A vector is the change in the velocity of an object that is caused by crosswind. A helicopter's velocity vector, for example, can be divided into two components: a vertical one and a horizontal one.

The helicopter's velocity vector changes when a crosswind from the northwest hits it, causing it to move at a speed of 30° north of east at 7 kilometers per minute. To determine the components of the vector that describe the change in velocity, we must first calculate the horizontal and vertical components of the velocity vector. To calculate the horizontal component, we must first find the cosine of the angle. The vertical component is the sine of the angle. The horizontal and vertical components of the velocity vector are shown below: To solve the problem, let's first draw a diagram of the situation: Now, we'll calculate the components of the vector that describe the change in velocity. We'll use trigonometry to do this. Since the helicopter is initially moving due east, its initial velocity vector is V = (9,0) (9 kilometers per minute due east).The crosswind causes a change in the helicopter's direction and speed to 30° north of east at 7 kilometers per minute. The angle between the initial velocity vector and the new velocity vector is 30°. To find the new velocity vector, we need to find its horizontal and vertical components. To find the horizontal component, we use cosine: cos(30°) = √3/2. Therefore, the horizontal component of the new velocity vector is: 7 km/min * √3/2 ≈ 6.06 km/min. To find the vertical component, we use sine: sin(30°) = 1/2Therefore, the vertical component of the new velocity vector is: 7 km/min * 1/2 = 3.5 km/min. So, the new velocity vector is: V = (-6.06,3.5)

Therefore, the components of the vector that describe the change in velocity are (-6.06, 3.5) km/min.

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The x-intercept is (-9, 0) and there is no y-intercept (option b).

To determine the x- and y-intercepts for the graph defined by the equation x = -9, we need to understand the concept of intercepts. The x-intercept is the point at which the graph intersects the x-axis, and the y-intercept is the point at which the graph intersects the y-axis.

Given the equation x = -9, we can see that the value of x is fixed at -9. This means that the graph will be a vertical line passing through the point (-9, 0) on the x-axis.

Now, let's analyze the answer choices:

a. x-intercept is (-9, 0))

This statement is correct. The x-intercept is indeed (-9, 0) since the graph passes through this point on the x-axis.

No y-intercept

This statement is also correct. Since the graph is a vertical line, it does not intersect the y-axis, so there is no y-intercept.

Based on the analysis of the answer choices, the correct answer is option a: The x-intercept is (-9, 0), and there is no y-intercept.

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Answer:

the y-intercept is (0,75)

Step-by-step explanation:

the y-intercept is where the line crosses the y-axis.

Answer:

(3, -2)

Step-by-step explanation:

both of the equations are equal to y, which means they are equal to each other.

So you write them as equation(1) = equation(2)

and solve for x.

Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)

Hope I was able to help:)

Answer: 10,000

Step-by-step explanation:

We have 5 ft 9 in = 69 in, so

P(X > 69) = P((X - 64.1)/2.5 > (69 - 64.1)/2.5) = P(Z > 1.96)

where X and Z both represent women's heights, but Z is normally distributed with mean 0 and s.d. 1.

Then consulting a table of z-scores, you'll find that P(Z > 1.96) ≈ 0.025. So approximately 2.5% of women are taker than 5'9''.

Answer:

its 40 milmeters

Step-by-step explanation:

The volume of the solid obtained by rotating the region about the line y = 1 is [insert volume value].

The volume of the solid can be calculated using the method of cylindrical shells. To find the volume, we integrate the circumference of each cylindrical shell multiplied by its height. The region is enclosed by the equations x = y^1/4, y = 1, and x = 0.

First, we express the equation x = y^1/4 in terms of y, giving us x = y^(1/4). We can rewrite this equation as y = x^4.

Next, we set up the integral for the volume. Since we are rotating the region about the line y = 1, the radius of each cylindrical shell is 1 - y, and the height is given by the difference between the upper and lower curves.

The upper curve is x = 1 - (y - 10), which simplifies to x = -y + 11. The lower curve is x = 0.

Therefore, the height of each cylindrical shell is (-y + 11) - 0 = 11 - y.

The circumference of each cylindrical shell is given by 2π(radius)

\(= 2\pi (1 - y)\)

Now, we integrate the expression for the volume:

\(V = \int\limits (2\pi (1 - y))(11 - y)dy\)

Evaluating this integral will give us the volume of the solid. The steps involved in evaluating the integral may vary depending on the integration technique used.

However, once the integral is solved, the resulting value will provide the volume of the solid obtained by rotating the region about the line y = 1.

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in the standard form equation x^2 + (y - k)^2 = 12, the value of k is 1.

To convert the equation of the circle from its general form to standard form, we need to complete the square for the y-term.

Given equation: \(x^2 + y^2 - 2y - 11 = 0\)

First, let's group the terms involving y:

\(x^2 + (y^2 - 2y) - 11 = 0\)

To complete the square for the y-term, we need to add and subtract a constant that will allow us to create a perfect square trinomial. In this case, the constant we need to add and subtract is \((2/2)^2 = 1\).

\(x^2 + (y^2 - 2y + 1 - 1) - 11 = 0\)

Rearranging the terms and simplifying:

\(x^2 + (y^2 - 2y + 1) - 12 = 0\)

Now, we can rewrite the trinomial as a perfect square:

\(x^2 + (y - 1)^2 - 12 = 0\)

Comparing this equation to the standard form of a circle equation, which is \((x - h)^2 + (y - k)^2 = r^2\), we can see that the center of the circle is (h, k) = (0, 1) and the radius squared is \(r^2 = 12\).

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Answer:

equilateral

Step-by-step explanation:

A shape is equilateral if all the sides are the same length. In geometry class, people learn about many shapes, such as triangles and squares. A square is equilateral, because all of its sides are the same length. ... The word equal should help you remember what equilateral means.

Answer:

An isosceles triangle has 2 sides of equal length . The dashes on the lines show they are equal in length. The angles at the base of the equal sides are equal.An equailateral triangle has 3 sides of equal length.

The third term in the expansion of \((cy - 3)^{4}\) is c² times greater than the third term in the expansion of \((y - 3)^{4}\).

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.

Now in the given question ,

When c = 1, we have:

\((y - 3)^{4}\) =\(y^4 - 12y^3 + 54y^2 - 108y + 81\)

When c > 1, we have:

\((cy - 3)^4 = c^4y^4 - 12c^3y^3 + 54c^2y^2 - 108cy + 81\)

Expanding \((y - 3)^4\) and \((cy - 3)^4\), we can see that the third term in each expansion is:

\(54y^2\) for \((y - 3)^4\)

\(54c^2y^2\) for \((cy - 3)^4\)

To compare the third terms, we divide the third term in \((cy - 3)^4\) by the third term in \((y - 3)^4\):

\((54c^2y^2) / (54y^2) = c^2\)

So the third term in the expansion of \((cy - 3)^4\) is c² times greater than the third term in the expansion of\((y - 3)^4\).

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Answer (-2,-3)

Step-by-te exnation:

multiply the equation by number

The rate of change of volume (dV/dt) of a cone is 28π.

The volume (V) of a cone can be expressed as V = (1/3)πr²h, where r is the radius of the base and h is the height. To find the rate of change of volume with respect to time (dV/dt), we can differentiate the volume equation with respect to time.

dV/dt = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Given that dV/dt = 28π, we can set up the equation:

28π = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Simplifying the equation and solving for the unknown values (dr/dt and dh/dt) would require additional information such as the values of r and h and their rates of change.

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Answer:

The answer is below

Step-by-step explanation:

So first to find a prime number, you need to know some multiplication skills.

So prime number is a number that is only divisible by itself or 1.

______

For example

3 is a prime number because it can't be divisible by any number

but

9 is not a prime number, because it can be divisible by 3

3 x 3 = 9

______________________

So you get it now

Now if you get a some number between 1 - 10

you have to use your multiplication skills to see if there are any prime numbers.

_____________________________

so

1  - not a prime number, can't be divisible by any number.

2 - not a prime number, can't be divisible by any number.

3 - not a prime number, can't be divisible by any number

4 - is a prime number, can be divisible a number (2 x 2 = 4)

5 - not a prime number, can't be divisible by any number

6 - is a prime number, can be divisible a number (3 x 2 = 6)

7 - not a prime number, can't be divisible by any number

8 - is a prime number, can be divisible a number (4 x 2 = 8)

9 - is a prime number, can be divisible a number (3 x 3 = 9)

10 - is a prime number, can be divisible a number (5 x 2 = 10)

__________________________________________________________

9514 1404 393

Answer:

  m∠J = 85°

Step-by-step explanation:

Angles G and H are congruent to angles Q and R, respectively. The sum of angles in a quadrilateral is 360°, so we have ...

  ∠J +∠F +∠G  +∠H = 360°

  ∠J +109° +122° +44° = 360°

  ∠J = 360° -275°

  m∠J = 85°

Answer:

suck.

Step-by-step explanation:

True, a decision support system (DSS) can conduct a follow-up assessment on how well a solution is performing. This is because a DSS is designed to analyze and evaluate data, as well as provide ongoing feedback on the effectiveness of decisions made using the system.

By monitoring key performance indicators and other metrics, a DSS can provide valuable insights into the success of a particular solution or course of action, allowing users to make more informed decisions going forward.

True: A Decision Support System (DSS) can do a follow-up assessment on how well a solution is performing. This allows for continuous improvement and optimization of the implemented solution based on the collected data and feedback.

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