A cone has a
volume of 3511
cubic feet and a
height of 13 feet.
Find the diameter
of the cone.

Answer and Step-by-step explanation:

\((\frac{1.25 - x}{1.25x} ) * 100\\\\\\(\frac{1.25}{1.25x} - \frac{x}{1.25x} ) * 100\\\\(\frac{1}{x} - \frac{1}{1.25} ) * 100\\\\\frac{100}{x} - 80\\\\\\\)

Decreased by 20%

Answer:

YESSSSSS I LOVE HAIKYUU (my favorite ppl in haikyuu are iwaizumi, akaashi, kuroo, oikawa, and kenma- also suna)

Step-by-step explanation:

also 20% is ur answer

Hence bond will be worth $ 3712.5

Answer:

the bonds be worth $3712.5 at the end of 5 years

Explanation:

\(Simple Interest: \frac{ Principal * Interest Rate * Time}{100}\)

Simple interest : ($3,300 * 2.5% * 5 )/100

Simple interest : $412.5

∵Total money she has worth: ( $412.5 +  $3,300 ) = $3712.5

Answer: A random variable.

Step-by-step explanation:

a numerical description of the outcome of an experiment is called a random variable.

Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

x = 9, ∠ 1 = ∠ 2 = 66°

Step-by-step explanation:

If r and s are parallel then

∠ 1 = ∠ 2 ( corresponding angles ) , then

84 - 2x = 93 - 3x ( add 3x to both sides )

84 + x = 93 ( subtract 84 from both sides )

x = 9

Then

∠ 1 = 84 - 2x = 84 - 2(9) = 84 - 18 = 66°

∠ 2 = 93 - 3x = 93 - 3(9) = 93 - 27 = 66°

If Elena earn y = 8.40x dollars where x represent how many hours she work and Jada earn $7 per hour, it would take Elena approximately 17.86 hours and Jada approximately 21.43 hours to earn $150

To find out how many hours it would take for Elena to earn $150, we need to solve the equation:

y = 8.4x

150 = 8.4x

x = 150/8.4

x ≈ 17.86 hours

So it would take Elena approximately 17.86 hours to earn $150.

To find out how many hours it would take for Jada to earn $150, we divide 150 by her hourly rate:

= $150 /( $7/ hour)

≈ 21.43

So it would take Jada approximately 21.43 hours to earn $150.

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Answer:

Step-by-step explanation:

To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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(a) The probability of observing at least 48 meteors per hour during a 4-hour observation period of the Geminid meteor shower can be calculated using the normal distribution and the given mean and variance. (b) If the astronomer watches for an additional hour, the probability of observing at least 48 meteors per hour is likely to increase due to the extended observation time and the higher chances of meteors appearing.

(a) To calculate the probability that at least 48 meteors per hour will appear during the 4-hour observation, we need to use the normal distribution. Given that the average number of meteors per hour is 50 and the variance is 9, we can calculate the standard deviation by taking the square root of the variance, which is 3. Using this information, we can standardize the value of 48 using the formula z = (x - μ) / σ, where x is the desired number of meteors, μ is the mean, and σ is the standard deviation. By finding the z-score corresponding to 48, we can look up the probability from the standard normal distribution table or use a calculator to find the area under the curve. This area represents the probability of observing at least 48 meteors per hour during the 4-hour observation period.

(b) If the astronomer watches for an additional hour, the probability of observing at least 48 meteors per hour will likely increase. This is because the average number of meteors per hour is 50, and adding an hour of observation increases the overall count of meteors. Since the variance is given as 9, the standard deviation remains constant. By extending the observation period, the astronomer has more opportunities for meteors to appear, increasing the likelihood of reaching or exceeding the desired threshold. However, the exact increase in probability would depend on the specific characteristics of the meteor shower, and other factors such as weather conditions or variations in meteor density may also influence the outcome.

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If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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Answer: 1517.54

Step-by-step explanation:

So we can divide solving this question into two parts: the 2% compound interest and the 5% compound interest.

We know that the compound interest equations is A = P(1+r/n)^nt where:

A is final amount

P is principal (initial) amount

r is interest rate

n is number times interest compounded

t is number of time periods

Given this, in the 2% compound we know:

A = ?

P = 1200

r = 2%

n = 1 (because it didn't say how many times compounded so we assume 1)

t = 2

This becomes:

A = 1200 (1 + (0.02/1))^ 1 * 2

A = 1248.48

Because we switching to 5% from 2%, we can assume that the final amount from the 2% will be the initial amount in the 5%. Thus:

A = ?

P = 1248.48

r = 5%

n = 1

t = 4 (because there were 6 years in total and we used 2 years for 2%)

This becomes:

A = 1248.48 (1 + (0.05/1))^ 1 * 4

A = 1517.54

Answer:

So it's either 12.1

Step-by-step explanation:

So you must multiply them to get the answer cause it tells how much fiction books are in there, and It 55% of the total so to find the total you must multiply them.  

But if you have a percent you have to make that into a decimal. So 55% will be 55/100 so that's .55, so all you have to do now is multiply them.

Answer: 40 books

Step-by-step explanation:

First divide 22/55 then multiply the product by 100.

22/55= 0.4

0.4*100=40

Hope this helps u Emilee :)

If the defendeant is guilty, the probability that the jury makes the correct decision is approximately 0.476.

To calculate the probability that the jury makes the correct decision, we need to consider two cases: the defendant is guilty and the defendant is not guilty.

Let's start with the case where the defendant is guilty. The probability that any individual juror makes the correct decision on the defendant is 0.80. Therefore, the probability that at least 10 out of 12 jurors make the correct decision is given by the binomial distribution:

P(at least 10 out of 12 jurors say "guilty") = sum of P(k jurors say "guilty") for k = 10, 11, 12

Using a binomial calculator or formula, we can find that this probability is approximately 0.952.

Now let's consider the case where the defendant is not guilty. In this case, the probability that any individual juror makes the correct decision is 0.20 (since they should say "not guilty"). Therefore, the probability that at least 10 out of 12 jurors say "guilty" when the defendant is actually not guilty is given by the same binomial distribution:

P(at least 10 out of 12 jurors say "guilty" | defendant is not guilty) = sum of P(k jurors say "guilty") for k = 10, 11, 12

Using the binomial formula, we can find that this probability is approximately 0.0003.

To find the probability that the jury makes the correct decision, we need to weigh the two cases by their respective probabilities:

P(correct decision) = P(defendant is guilty) * P(at least 10 out of 12 jurors say "guilty") + P(defendant is not guilty) * P(at least 10 out of 12 jurors say "guilty" | defendant is not guilty)

Plugging in the values, we get:

P(correct decision) = 0.5 * 0.952 + 0.5 * 0.0003 = 0.476

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Answer: b=2a/h-a

Step-by-step explanation:

Answer:

42 ft²

Step-by-step explanation:

You need the total surface area of the box which is shaped like a rectangular prism.

surface area = area of bases + lateral area

Let length = 3 ft, width = 2 ft, height = 3 ft.

The base is a rectangle 3 ft by 2 ft.

The perimeter of the base is 2(3 ft + 2 ft) = 10 ft

The lateral area is (perimeter of the base) × height = 10 ft × 3 ft = 30 ft²

The area of the two bases is 2 × (3 ft × 2 ft) = 12 ft²

The total surface area is 30 ft² + 12 ft² = 42 ft²

The Taylor polynomials T2 and T3 centered at x=3 for the function f(x)=x^4-7x are: T2(x)=23(x−3)4−56(x−3)+27, T3(x)=23(x−3)4−56(x−3)+27−14(x−3)3

To find the Taylor polynomial centered at x=3, we need to find the derivatives of f(x) up to the nth derivative and evaluate them at x=3. Then, we use the formula for the Taylor polynomial of degree n centered at x=a:

Tn(x)=f(a)+f′(a)(x−a)+f′′(a)(x−a)2+⋯+f(n)(a)(x−a)n/n!

For this particular problem, we are given that a=3 and f(x)=x^4-7x. Taking the derivatives of f(x), we get:

f'(x)=4x^3-7

f''(x)=12x^2

f'''(x)=24x

f''''(x)=24

Evaluating these derivatives at x=3, we get:

f(3)=-54

f'(3)=29

f''(3)=108

f'''(3)=72

f''''(3)=24

Plugging these values into the Taylor polynomial formula, we get the expressions for T2 and T3 as stated above.

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We have to make a suspicion based on the given data. The standard deviations of the three bunches are not given within the address, so we cannot straightforwardly decide whether the condition of equal standard deviations is met. Be that as it may, ready to make a few taught surmises based on what we know almost each gather.

The primary gather, which did not think about, is likely to have a bigger change in scores than the other two bunches since understudies with shifting levels of arrangement and capacity took the test. Subsequently, we might anticipate the standard deviation of this group to be bigger than that of the other two bunches.

It is conceivable that the condition of rise to standard deviations isn't met. In case the condition of equal standard deviations isn't met, we may require to utilize an altered adaptation of ANOVA, such as Welch's ANOVA, which does not expect a rise in changes. 

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To find out how much candy Vanessa should eat each day, we first need to find the total amount of candy in the box. If the box weighs 1/8 of a pound, we can convert this weight to ounces to get a clearer idea of the quantity of candy. There are 16 ounces in a pound, so 1/8 of a pound is equal to 1/8 * 16 = 2 ounces.

Now that we know the total amount of candy, we can divide this by the number of days that Vanessa wants the candy to last to find out how much she should eat each day. If the candy is meant to last 2 days, she should eat 2 ounces / 2 days = 1 ounce of candy per day.

Fixed costs are expenses that remain constant regardless of the level of production. The calculation of average fixed costs (AFC) is obtained by dividing the total fixed cost by the number of units produced.

AFC provides the amount per unit that the company will spend on fixed costs to produce a given quantity of output. Therefore, to calculate the average fixed cost at the Shanghai factory if the 2020 output level (= 35,000 cars annually) were maintained for ten years, we will first calculate the total fixed costs.

The formula for calculating average fixed cost (AFC) is:

Average Fixed Cost (AFC) = Total Fixed Cost / Quantity ProducedTotal Fixed Cost is obtained by multiplying the fixed cost per unit with the total number of units produced.

Total Fixed Cost (TFC) = Fixed Cost per Unit × Number of Units ProducedThe problem does not provide any information about the fixed cost per unit, which is why it cannot be calculated.

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To calculate the average fixed cost at the Shanghai factory, divide the total fixed costs by the output level. For a given output level of 35,000 cars annually maintained for 10 years, the average fixed cost would be $285.71 per car.

To calculate the average fixed cost at the Shanghai factory, we need to divide the total fixed costs by the output level. Since the question specifies that the output level is 35,000 cars annually and we want to maintain this level for 10 years, we can calculate the average fixed cost as follows:

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The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

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Answer:

I think its Factor

Step-by-step explanation: (x-4) (x+1)

And for the equation x=4,-1

The volume of the remaining piece of ice cube is 6911.5 cubic cm

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

Radius, r = 20/2  = 10 cm

Height, h = 33 cm

The volume of the remaining piece is calculated is

V = 2/3πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 2/3 * 22/7 * 10² * 33

Evaluate

V = 6911.5

Hence, the volume of the remaining piece is 6911.5 cubic cm

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Answer: In order to begin figuring that out, we need to know how both of their plans work.

Answer:

Step-by-step explanation:

Area of rectangle = length * width

Area of rectangle = 55x⁶ + 22x⁴

                             = 5*11*x⁶ + 2 *11*x⁴

                             = 11x⁴*(5x² + 2)

width = 11x⁴

So, length = 5x² + 2

Answer:

\(\tt Step-by-step~explanation:\)

To solve for x, we need to know that the angles inside of a triangle is always equal to 180º.

\(\tt Steps:\)

Since all the angles added together are equal to 180º, we simply have to add the two given angles and subtract that from 180º.

\(\tt 43+60=103\\180-103=77\\x=77\)

\(\large\boxed{\tt Our~final~answer: ~x=77}\)

According to the information , Michael used shows a weak correlation which does not imply a causation between variables.

A statistical term known as correlation indicates the strength and direction of a relationship between two or more variables. It is expressed as a number.

However, just because two variables are correlated does not necessarily imply that the change in one of the variables is what changed the values of the other.

The number's value conveys the relationship's strength:

A correlation of r = 0 indicates none.

Perfect positive correlation is indicated by a r of 1. If r is exactly negative one, then a correlation exists.

In the question,

correlation coefficient is 0.12 , little bit bigger than zero

So, Weak correlation which does not imply a causation between variables.

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Answer:

weak, a causation between variables

Step-by-step explanation:

did it on edge and got it right 2022