Con gác A cone has a height of 17 centimeters and a radius of 7 centimeters. What is its volume? Use 3.14 and round your answer to the nearest hundredth.

Answer:

2156.7

Step-by-step explanation:

first, after discount is meant now $1659 and 30% up, that way we need to do 1659 x 1.3 it gives us 2156.7

Answer:

9/16

Step-by-step explanation:

here we have 1 in 4 parts

if we consider 1 as 16/16 and 1/2 as 8/16

and also the 3rd unit i mean 3/4 is 12/16

so it would be approximately right to say the point is showing somewhere about 9/16

Answer:

see attached

Step-by-step explanation:

The most appropriate choice for velocity and accleration will be given by-  Deacceleration of a car of 15 \(m/s^2\) is a real world situation for which the rate of change is -15

What is velocity and acceleration?

Velocity

The distance travelled by a body per unit interval of time where the direction of the motion of a body is taken into account is known as velocity.

Velocity is a vector quantity as direction of motion of body is taken into account.

If d is the displacement of body and t is the time,

Velocity = \(\frac{d}{t}\)

Acceleration

The rate of change of velocity of a body is called acceleration.

Acceleration is a vector quantity as direction of motion of a body is taken into account.

If \(\Delta\)v is the change of velocity and t is the time,

Acceleration = \(\frac{\Delta v}{t}\)

If velocity decreases then it is called Deacceleration

Here

Deacceleration of a car is 15 \(m/s^2\)

That means rate of change of velocity of a car is -15 \(m/s^2\)

This is a real world situation for which the rate of change is -15

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Answer:

There is a 9/15 or 3/5

Step-by-step explanation:

There are a total of 15 cards, of those, 6 are red, so if you subtract 6 from 15, you get 9, which is the total amount of yellow and blue cards, which is what you were to not get a red card.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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The test will involve comparing the t-statistic to a t-distribution with 14 degrees of freedom (since we have 15 observations and one parameter estimate, X).

It seems that there is some information missing after "sample mean is found to be t =". However, assuming that you meant to provide a value for the sample mean, I can provide some information based on that assumption.

If the sample mean is found to be t = X, then we can use this information to make inferences about the population mean, μ. Specifically, we can use the sample mean to estimate the population mean and also to test hypotheses about the population mean.

To estimate the population mean, we can use the sample mean as our point estimate. That is, we can say that our best estimate for the population mean is equal to the sample mean, X. However, since we only have a sample of the population, there is some uncertainty in our estimate. We can quantify this uncertainty by constructing a confidence interval, which gives a range of values that we can be reasonably confident contains the true population mean.

To construct a 95% confidence interval for the population mean, we can use the formula:

X ± 1.96 * (σ / √n)

where X is the sample mean, σ is the population standard deviation (which is given as 21), and n is the sample size (which is given as 15). Plugging in these values, we get:

X ± 1.96 * (21 / √15)

Since we don't have a specific value for X, we can't calculate the interval exactly, but we can say that the interval will be centered around the sample mean and will have a width of 1.96 times the standard error of the mean (which is given by σ / √n).

To test hypotheses about the population mean, we can use a t-test. The null hypothesis for a t-test is typically that the population mean is equal to some hypothesized value, such as a previous estimate or a theoretical value. The alternative hypothesis is typically that the population mean is not equal to the hypothesized value.

To conduct a t-test, we need to calculate the t-statistic:

t = (X - μ) / (s / √n)

where X is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation (which we don't have, so we'll use the population standard deviation, 21), and n is the sample size. We can then compare the t-statistic to a t-distribution with n-1 degrees of freedom to determine the p-value and make a decision about the null hypothesis.

Again, since we don't have a specific value for X, we can't conduct the test exactly, but we can say that the test will involve comparing the t-statistic to a t-distribution with 14 degrees of freedom (since we have 15 observations and one parameter estimate, X).

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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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 expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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To find the measure of each angle in Megan's triangle, we can use the fact that the sum of the measures of the angles in any triangle is 180 degrees. We can set up the equation:

\(m∠A + m∠B + m∠C = 180\)

Substituting the given values for m∠B and m∠C, we get:

\(x + 4x + (5x - 30) = 180\)

Simplifying the equation, we get:

\(10x - 30 = 180\)

Adding 30 to both sides, we get:

\(10x = 210\)

Dividing by 10, we get:

\(x = 21\)

Therefore, m∠A = x = 21 degrees, m∠B = 4x = 84 degrees, and m∠C = 5x - 30 = 75 degrees. The measure of each angle in Megan's triangle is: m∠A = 21 degrees, m∠B = 84 degrees, and m∠C = 75 degrees.

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Answer:

m∠A = ✔ 21 °

m∠B = ✔ 84 °

m∠C = ✔ 75 °

Step-by-step explanation:

I did it on edge

The value of the interquartile range of the numbers is,

⇒ IQR = 23

We have to given that,

Data set is,

⇒ 7, 29, 14, 2, 34, 6, 11

Now, We can find the first and third quartile of data set as,

Firstly we can arrange the data set in ascending order,

⇒ 2, 6, 7, 11, 14, 29, 34

Take first half for first quartile,

⇒ 2, 6, 7,

First quartile = 6

Take last half for second quartile,

⇒ 14, 29, 34

Second quartile = 29

Thus, The value of the interquartile range of the numbers is,

⇒ IQR = 29 - 6

⇒ IQR = 23

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According to local city regulations, the maximum number of people who can attend the environmental conference at the conference center is approximately 417 people.

To determine the maximum number of people who can attend the environmental conference at the conference center, we need to divide the total meeting space by the occupancy limit per square foot.

Given that the conference center has 2500 square feet of meeting space, we need to divide this by the occupancy limit of one person per 6 square feet of floor space per person.

2500 sq ft ÷ 6 sq ft/person = 416.67 people

Therefore, according to local city regulations, the maximum number of people who can attend the environmental conference at the conference center is approximately 417 people.

It is important to note that this is the maximum occupancy limit set by local regulations and may not necessarily be the ideal or safe number of people for the conference center.

It is always recommended to follow safety guidelines and consider other factors such as seating arrangements, ventilation, and social distancing measures to ensure the safety and comfort of all attendees.

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Answer:b

Step-by-step explanation:

The correct option is: The graph is centered around 0.

The statement that is NOT a descriptor of a normal distribution of a random variable is "The graph is centered around 0.

"The normal distribution is a symmetric probability distribution. Its curve is bell-shaped and symmetrical around the mean µ. It means that the distribution's mean is located in the center of the curve. Therefore, the statement

"The graph is centered around the mean" is true.

However, the statement that is not a descriptor of a normal distribution of a random variable is "The graph is centered around 0." The standard normal distribution is the only normal distribution that has its mean at zero (0) and its standard deviation at one (1). Hence, the correct option is: The graph is centered around 0.

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Answer:

  1/5

Step-by-step explanation:

You want the slope of line AB, given A(-2, 2) and B(3, 3).

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -2)/(3 -(-2)) = 1/5

The slope of the line AB is 1/5.

__

Additional comment

You can also find the slope by counting the grid squares. Point B is 1 up and 5 over from point A, so the slope is rise/run = 1/5.

Answer:The J C Penney Company stock would have been the best investment option, because the stock provided a rate of return of 18.82 percent to investors during the past year. The Apple stock offered a lower return of 13.29 percent. The Ford Motor Company gave a negative return of 0.51 percent, which means investors in this stock lost a small amount of their investment over the past one year.

Step-by-step explanation: ANSWER FOR EDMENTUM/PLATO

(Answers may vary.)

The J C Penney Company stock would have been the best investment option, because the stock provided a rate of return of 18.82 percent to investors during the past year. The Apple stock offered a lower return of 13.29 percent. The Ford Motor Company gave a negative return of 0.51 percent, which means investors in this stock lost a small amount of their investment over the past one year.

Step-by-step explanation: edmentum/ plato exact

Answer:

$2268 is the answer :)

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

2) 6.230 (3.115

  6  

   0 2

    - 2

      0 3

       - 2

         1 0

        -1 0

          0

125) 6000 (4.8          ( on multiplying numerator and denominator by 100)

      -500

       1000

     -1000

       0

Answer:

57 degrees

Step-by-step explanation:

because it is the same as the other side

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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When conducting an assessment, the nurse observes fine, downy hair covering the newborn's shoulders and back. This finding is interpreted as lanugo.

So, the correct answer is B.

Lanugo is a soft, fine hair that covers the fetus and sometimes remains on the newborn's body after birth, particularly in preterm infants.

Milia are small, white bumps on a baby's skin, while vernix caseosa is a white, waxy substance that protects the baby's skin in the womb. Harlequin sign is a temporary skin color change in newborns. In this case, lanugo is the appropriate term to describe the observed hair on the baby's shoulders and back

Hence, the answer of the question is B.

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We can start by finding the length of the arc \overset{\LARGE\frown}{TS} using the fact that the length of the arc \overset{\LARGE\frown}{RS} is \frac{4}{3}\pi times the radius of the circle. Since angle RQS is 120 degrees, arc \overset{\LARGE\frown}{TS} is \frac{1}{3} of the circumference of the circle:

arc \overset{\LARGE\frown}{TS} = \frac{1}{3} (2\pi R) = \frac{2}{3}\pi R

Next, we can find the length of the chord TS using the Law of Cosines:

TS^2 = TR^2 + RS^2 - 2(TR)(RS)\cos(\angle TRS)

Since \angle TRS is 120 degrees, we have:

TS^2 = R^2 + (4/3)^2R^2 - 2(R)(4/3)R(-1/2)

Simplifying this expression, we get:

TS^2 = \frac{25}{9}R^2

Taking the square root of both sides, we get:

TS = \frac{5}{3}R

Now we can find the height of the shaded region by drawing the altitude from the center of the circle to chord TS. This altitude bisects chord TS and is also perpendicular to it, so it divides TS into two segments of equal length:

Height = \frac{1}{2}(TS) = \frac{5}{6}R

Finally, we can find the area of the shaded region by subtracting the area of triangle RST from the area of sector RQS:

Area of sector RQS = (120/360)\pi R^2 = \frac{1}{3}\pi R^2

Area of triangle RST = (1/2)(RS)(height) = (1/2)(4/3)R(\frac{5}{6}R) = \frac{5}{9}R^2

Area of shaded region = Area of sector RQS - Area of triangle RST = \frac{1}{3}\pi R^2 - \frac{5}{9}R^2 = \frac{2}{9}\pi R^2

Therefore, the area shaded below is \frac{2}{9}\pi times the square of the radius R of the circle.

As per the given data, in circle QQ, the area shaded below is (1/27)π.

The circumference is the perimeter of a circle or ellipse in geometry. That is, the circumference would be the circle's arc length if it were opened up and straightened out to a line segment.

To find the area shaded below, we need to first find the area of sector RQS and then subtract the area of triangle RQS to get the shaded area.

The length of arc RS is given as 4/3π. Since the circumference of the circle is 2πr, where r is the radius, we have:

2πr = 4/3π

r = 2/3

So, the radius of the circle is 2/3.

Next, we can use the formula for the area of a sector, which is given as:

A = \((1/2)r^2\theta\)

where r is the radius of the sector and θ is the central angle in radians.

In this case, θ is 120 degrees or 2/3π radians, so we have:

A(sector RQS) = \((1/2)(2/3)^2(2/3\pi)\) = 4/27π

Now, we need to find the area of triangle RQS. To do this, we can use the formula for the area of a triangle, which is given as:

A = (1/2)bh

Where b is the base of the triangle and h is its height.

Since RQ is the base of triangle RQS and is also a radius of the circle, its length is 2/3. To find the height of the triangle, we can draw a perpendicular from point S to line QR and call the point of intersection T.

Since angle RQS is 120 degrees, angle RQT is 30 degrees (since the sum of the angles in a triangle is 180 degrees), and we have:

sin 30 = h/2/3

h = 1/3

So, the area of triangle RQS is:

A(triangle RQS) = (1/2)(2/3)(1/3) = 1/9

Finally, we can find the shaded area by subtracting the area of triangle RQS from the area of sector RQS:

A(shaded) = A(sector RQS) - A(triangle RQS) = (4/27π) - (1/9) = (1/27)π

Therefore, the area shaded below is (1/27)π.

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Answer:

x = 4

Step-by-step explanation:

( 31x + 6 ) + ( 12x + 2 ) = 180

31x + 12x + 6 + 2 = 180

43x + 8 = 180

43x + 8 -8 = 180 -8

43x = 172

43x/43 = 172/43

x = 4

Answer:

x=4

Step-by-step explanation:

31x+6+12x+2=180

43x+8=180

43x=172

x=4

The scatter plot shows any linear association. Option (B)

A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure.

Advantages of scatter plot

From the above advantages, we can conclude on the answer which is Option (B)

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Answer: 5:12

Step-by-step explanation:

\(\displaystyle\\30:72=\\\\\frac{30}{72}=\\\\ \frac{6(5)}{6(12)}=\\\\ \frac{5}{12}=\\\\ 5:12\)

f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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Answer:

24 3/4 miles is the distance

1/2 hour - is time

V=S/t

24\frac{3}{4}

4

3

/ 0.5 = \frac{(24*4+3)2}{4}

4

(24∗4+3)2

=49.5 miles per hour

\/////////////////////////////////////////////////

Answer:

Its b r=3/4

Step-by-step explanation:

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