Find the volume of the cone in cubic feet. Use 3. 14 for π and round your answer to the nearest tenth.





(1 m ≈ 3. 2808 ft)


135,648 ft3


3,843. 8 ft3


4,790,189. 2 ft3


444,925. 4 ft3

Answer:

x = 5/3, 1/3

Or

x=1.6 repeating ,0.3 repeating

Answer:

There is No real solutions.

Step-by-step explanation:

Answer:

Area = 32m^2q

Step-by-step explanation:

Area = bh

Area = 8mq · 4m

Area = 32m^2q

Answer:

Form 1 question???????

The data indicates that there is evidence of significantly more 90-degree days in the past four years compared to the mean of the population.

To determine if the data indicates that the past four years have had significantly more 90-degree days than expected for a random sample from this population, we can conduct a one-tailed hypothesis test.

Null hypothesis (H₀): The mean number of 90-degree days for the past four years is equal to the mean of the population (μ = 10).

Alternative hypothesis (H₁): The mean number of 90-degree days for the past four years is significantly greater than the mean of the population (μ > 10).

Since the population standard deviation (σ) is known, we can use a z-test for this hypothesis test.

1. Calculate the test statistic (z-score):

  z = (M - μ) / (σ / √n)

  z = (12.9 - 10) / (2.7 / √4)

  z = 2.9 / 1.35

  z ≈ 2.148 (rounded to three decimal places)

2. Determine the critical value for a one-tailed test at a significance level of α = 0.05. Since it is a one-tailed test, we need to find the critical value corresponding to the upper tail. Looking up the critical value in the z-table or using a calculator, we find the critical value to be approximately 1.645 (rounded to three decimal places).

3. Compare the test statistic to the critical value:

  z > critical value

  2.148 > 1.645

4. Make a decision:

  Since the test statistic is greater than the critical value, we reject the null hypothesis.

5. State the conclusion:

  The data provide sufficient evidence to conclude that the past four years have had significantly more 90-degree days than would be expected for a random sample from this population at a significance level of α = 0.05.

Therefore, based on the given information and the results of the hypothesis test, the data indicates that there is evidence of significantly more 90-degree days in the past four years compared to the mean of the population.

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The statement which is "The binomial distribution table, the number of trials must be greater than 30." is the not correct statement related to the binomial and Poisson distributions. Hence option a is the right choice.

a. "When using the binomial distribution table, the number of trials must be greater than 30"This is an incorrect statement.

There is no such rule stating that the number of trials must be greater than 30 for the binomial distribution.

b. "The Poisson distribution represents the random arrival of events per unit of time or space" This is the correct statement.

The Poisson distribution is used to model the number of events occurring in a fixed interval of time or space, given a constant average rate of occurrence.

c. "Only two outcomes are possible in a binomial situation" This is correct statement.

A binomial distribution represents the number of successes in a fixed number of trials, each with only two possible outcomes (success or failure).

d. To use the Poisson distribution tables, mu must be known or be able to be calculated: This is correct.

In order to use the Poisson distribution tables, the mean number of events (represented by the symbol µ) must be known or calculable.

So, option a is right choice.

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Question :-

Which of the following is not a correct statement about the binomial and Poisson distributions?

a. When using the binomial distribution table, the number of trials must be greater than 30.

b. The Poisson distribution represents the random arrival of events per unit of time or space.

c. Only two outcomes are possible in a binomial situation.

d. To use the Poisson distribution tables, Mu must be known or be able to be calculated

The temperature dropped meaning it got lower. Subtract the amount of the drop from the starting temperature:

-4 - 10 = -14

The temperature was -14

True

In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.

When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.

The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.

If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.

If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.

In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.

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The Measure of angle A is 120°, Measure of angle C = 120° and the Measure of angle D is 60°

In a parallelogram, opposite angles are congruent. Therefore, if the measure of angle A is 120°, then the measure of angle C is also 120°.

Since angle A and angle C are opposite angles, their adjacent angles are also congruent. This means that the measure of angle B is equal to the measure of angle Z.

Now, let's consider angle D. In a parallelogram, the sum of the measures of adjacent angles is always 180°. Since angle C is 120°, the adjacent angle D must be:

180° - 120°

= 60°.

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There are three a's, we can write a³ instead of a×a×a. This gives us d×b×c×a³

To simplify the expression d×b×c×a×a×a, we can rewrite it using exponents. Since there are three a's, we can write a³ instead of a×a×a. This gives us:

d×b×c×a³

This is the simplified expression using single variables raised to exponents. We can read this as "d times b times c times a to the power of 3".

It's important to note that when we have multiple variables multiplied together, we can simplify the expression by combining them using exponents. This makes it easier to work with and to manipulate algebraic equations.

In this case, we were able to simplify the expression by replacing three instances of a with a³. We could continue to simplify further if we had additional like terms, but in this case, this is the simplest form of the expression.

Overall, simplifying expressions using exponents is a common technique in algebra and can help make solving equations more manageable.

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The solution is, the factorized form of  of the expression (x² + 10x + 16) is (x+2)(x+8).

Here, we have,

given that,

Factor of the expression

(x² + 10x + 16)

now, we get,

Let's start out by finding 2 factors of 16 that add up to 10. Since 16 is positive and 10 is positive, both factors will be positive.

Factors of 16: 1,2,4,4,8,16.

2+8=10

Our 2 factors are 2 and 8.

Now convert into factored form:

(x+2)(x+8)

i.e. (x² + 10x + 16)

=(x² + 8x + 2x + 16)

= (x+2)(x+8)

Hence, The solution is, the factorized form of the expression

(x² + 10x + 16) is (x+2)(x+8).

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Answer:

reject H0 ; conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

Step-by-step explanation:

x = 115

n = 200

Phat = x / n = 115 / 200 = 0.575

H0 : P0 ≥ 0.65

H1 : P0 < 0.65

TEST STATISTIC :

Phat - P0 ÷ sqrt[(P0(1-P0))/n]

0.575 - 0.65 ÷ sqrt[(0.65(0.35))/200]

-0.075 ÷ 0.0337268

Test statistic -2.237

Pvalue :

P(Z < - 2.237) = 0.012643

α = 0.05

Pvalue < α

0.012643 < 0.05 ; We reject H0

We can conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

A $100 bill and a dime differ by a magnitude of 3.

Orders of magnitude can be used in order to define large quantities efficiently and more easily. A dime is a currency used in the US that is equivalent to 0.10 dollars.

So we can represent a dime as 10-¹ of a dollar

and we can write 100 dollars as 10² of a dollar.

Therefore the difference in the order of magnitude of 100 dollars and a dime would be the difference between the powers or exponents of those two quantities,

That is,

2-(-1) = 3

So, the dollar differs by a magnitude of 3 from a dime.

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Answer:

30

Step-by-step explanation:

2x^3+3y-4

2(2)^3+3(6)-4

2(8)+18-4

16+18-4

30

2(8)+3(6)-4

16+18-4

30

Answer:

0.46 m

Step-by-step explanation:

area of desks: 8 m by 12 m = 8 m * 12 m = 96 m^2

20% of this area is 20% * 96 m^2 = 19.2 m^2

The area of the border is 19.2 m^2.

Let the path around the desks have width x.

The area of desks plus path is a rectangle 2x + 8 by 2x + 12.

area of desks plus path = (2x + 8)(2x + 12)

= 4x^2 + 24x + 16x + 96 = 4x^2 + 40x + 96

The area of the border is the area of the rectangle that includes the border minus the rectangle that has just the desks.

area of border = (4x^2 + 40x + 96) - (96) =

= 4x^2 + 40x

Above, we have the area of border = 19.2, so we get this equation:

4x^2 + 40x = 19.2

4x^2 + 40x - 19.2 = 0

x^2 + 10x - 4.8 = 0

We now use the quadratic formula to solve the equation for x.

\( x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)

\( x = \dfrac{-10 \pm \sqrt{10^2 - 4(1)(-4.8)}{2(1)} \)

\( x = \dfrac{-10 \pm \sqrt{100 + 19.2 )}{2} \)

\( x = \dfrac{-10 \pm \sqrt{119.2 )}{2} \)

\( x = 0.46 \)  or  \( x = -10.46 \)

We discard the negative solution.

Answer: the border is 0.46 m wide.

Answer:

Step-by-step explanation:

b. 27

d 25

e 20

f 342

h 54

The inequality best represents the possible ways the team can score more than 60 points.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that, the Mid-High JV Team is playing in the state championship for football.

In order to beat their all-time points in a season record, they need to score more than 60 points in the game.

Considering a field goal (f) scores 3 points, a touchdown (t) scores 6 points, and a touchdown with an extra point (p) scores 7 points.

We need to find the inequality best represents the possible ways the team can score more than 60 points.

3f+6t+7p>60

Hence, 3f+6t+7p>60 is the inequality best represents the possible ways the team can score more than 60 points.

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The standard deviation of f$ ar{x},f$ is usually called the "sample standard deviation".

This is a commonly used statistical measure that represents the amount of variation or dispersion within a set of data. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The sample standard deviation is often used to compare the variability of different sets of data and to determine the significance of differences between them. Financial contracts known as derivatives are those entered into by two or more parties and whose value is derived from an underlying asset,

collection of assets, or benchmark. A derivative may be traded over-the-counter or on an exchange. Derivative prices are based on changes in the underlying asset.

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The three-period weighted moving average for july is 145.4.

A weighted moving average technique is one of several methods for forecasting a given month's value or attribute. Other techniques for forecasting from historical data include the evenly weighted moving average method, a regression analysis method, and so on.

Now, according to the question;

The weighted moving average strategy forecast for month of July is given by:

= (Weight for May * Sales for May) + (Weight for April * Sales for April) + (Weight for June * Sales for June)

= (0.5 * 148) + (0.3 * 142) + (0.2* 144)

= 145.4

Therefore, the three-period weighted moving average for july is 145.4.

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The complete question is -

13. Given the following historical data and weights of .5, .3, and .2, what is the three-period weighted moving average forecast for period 5?

Period Value

1 - 138 (march)

2 - 142 (april)

3 - 148 (may)

4 - 144 (june)

Answer:55

Step-by-step explanation:

(1). Toyota Prius: The total distance the car can travel in miles (M) given any gallons of gas (g) is M = 35g *How much gas is used per mile?

(2)Toyota Sienna: Used 2.5 gallons to travel 55 miles *How much gas is used per mile?

Answer:

A

Step-by-step explanation:

A does not have a clear outlier.

Answer:

Elizibeth Cady Stanton

Step-by-step explanation:

Anthony and Elizabeth Cady Stanton formed groups to push for women's right to vote during the Industrial Revolution. It took a long time and a lot of work, but women finally gained the right to vote when the 19th Amendment was ratified in 1920.

Answer: I think it's Elizabeth Cady Stanton

Step-by-step explanation:

Anthony and Elizabeth Cady Stanton formed groups to push for women's right to vote during the Industrial Revolution. It took a long time and a lot of work, but women finally gained the right to vote when the 19th Amendment was ratified in 1920.

The triangle acb was dilated by a scale factor of 1/2, reflected across the X- axis , and moved through the translation (X+3, Y+0).

All the lengths in the original triangle (ACB) are multiplied by 1/2 to get the corresponding lengths in the new triangle (DFE). so, the dilated by a scale factor of 1/2. So, the new triangle is a mirror image of the original triangle, with all the points below the X-axis in the original triangle reflected above the X-axis in the new triangle.

The new triangle is shifted 3 units to the right and 0 units up from the original triangle. The coordinates moved through the translation of (X+3, Y+0).

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Answer: 27

Step-by-step explanation:

8^x+1 = 64

8^x+1 = 8²

x+1 =2

x = 2 - 1

x = 1

To Find :

3^2x +1

Substitute the value of x :

3^2(1)+ 1

3^2+1

3^3

27

Answer:

Okay so your numbers are:

0, 2, 2, 4, 5, 1, 3, 4, 2, 4, 5, 0, 0, 1, 3, 4

You have to put them in order first:

0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5

Now that its all in order you have to pull out the middle number.

Since there are 16 numbers its an even pile so you have to get the 2 middle numbers:

2, 3

Add them both together:

2 + 3 = 5

Then divide by 2:

5 ÷ 2

= 2.5

Step-by-step explanation:

Hope this helps!

From your neighborhood sofite.

Answer: Median is 78

Step-by-step explanation: What you have to do in this stem and leaf plot is for example 6|0 is 60, 9|4 is 94, etc. To find the median height, ignore the stem (the number by itself) and do the median how you usually do it.  Sorry if its a bit complicated

Answer:

His money increased by 6.25, his overall percentage increase is 35

Step-by-step explanation:

250 x 0.25 x 0.10 = 6.25

Answer:

(-7,-4)

Step-by-step explanation:

-6-1=-7

-9-(-5)=-4