A spherical boulder is 24 feet in diameter and weighs almost 6 tons find the volume

The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

a.  The probability that they are actually lying is 0.3214. b. The polygraph test must be 98.7% in order that this probability is at least 80%.

It is simpler to construct and see every possible scenario using the tree diagram. Its two main sites are the ends and the branches of the tree. The probability is written on each branch, and the ends hold the final findings. Use tree diagrams to identify when to multiply and when to add.

The probability of lie = 0.5

The probability of truth = 1 - 0.5 = 0.95

The liars that pass polygraph = 0.10

The liars that fail the polygraph is = 0.90

The truth that pass on polygraph = 0.90

The truth that fails on polygraph = 0.10

a. The probability that they are actually lying is:

P (Lying| fair) = P (fair| Lying) P (lying) / P (fair)

= (0.90)(0.05)/ (0.70)(0.05) + (0.10)(0.95)

= 0.3214

b. P (Lying| fair) > 0. 80

= (x)(0.05)/ (x)(0.05) + (1-x)(0.95) > 0.80

x > 0.987

Hence, the polygraph test must be 98.7% in order that this probability is at least 80%.

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Answer: 9/4

Step-by-step explanation:

Reciprocal means flip the fraction

The reciprocal of 4/9  is  9/4

Answer: the rciprocal is 9/4

Step-by-step explanation:

Answer:

You should turn 225 degrees anti-clockwise to face North.

Answer: A,

Step-by-step explanation: It makes a median of 28 when calculated

Answer:

The new slope is 2,

New y-intercept is - 7

Line is flatter since slope has reduced

Step-by-step explanation:

Answer:

2640 cubes

Step-by-step explanation:

20 cm x 12 cm x 11 cm = 2640 cm^3

Using proportions, it is found that Gene's speed was of 25 miles per hour, as he was 30 miles faster over a period of 6 hours.

A proportion is a fraction of a total amount.

At 8 a.m. Anne left Austin and headed south at 20 mph, hence when Gene left at 10 a.m., she was 40 mph ahead.

At 4 p.m., that is, 6 hours after Gene left, the distance was of 10 miles, that is, Gene was 30 miles faster in 6 hours, so the difference in the speeds is given by:

d = 30/6 = 5 mph.

Since Anne's speed is of 20 mph, Gene's is given by:

v = 20 + 5 = 25 mph.

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Answer:

34

first of all use formula:

n(AUB)=n(A)+n(B)-n(AnB)

Answer:

y = 1.25x+4

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

Substitute Values for one set of coordinates. I used (0,4) and (4,8)

Once you have derived what m is equal too, put it into your slope intercept form: y=mx+b

y=1.25x+b

b would be equal to 4 in this case (sorry i don't have enough time to explain why, but it is 4)

The final answer is y = 1.25x+4

There were 8 slices in the whole pizza.

An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =.  Let us assume the number of slices in the whole pizza is "x".

Since Jim ate two slices which is 25% of the pizza, we will set up the equation:

2 = 0.25x

To solve for "x":

2 / 0.25 = x

x = 8.

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Answer:

Based on the given conditions, formulate:

238

−

144

Calculate the sum or difference:

94

get the result:

94

Answer: Step-by-step explanation:

Answer:

Step-by-step explanation: Because equivalent expressions is when you Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Answer:

The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If tou remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.

Step-by-step explanation:

I majored in Mathematics

Answer:

72

Step-by-step explanation:

do 24/2=12x6=72

Answer:

1) angle d

2) angle e

3) angle f

Step-by-step explanation:

The bakery you choose cost $1000 per month.

The bakery that you almost rented was one fourth for the cost: 1/4 of $1000.

When you have a fraction of a quantity you have to multiply the fraction by the value. Doing so, we have:

The probability that X is less than 12 is approximately 1, or 100%.

Normal Distribution: The normal distribution is a probability distribution that is often used in statistics. The normal distribution has a bell-shaped curve and is symmetrical around the mean. The standard deviation and mean are used to describe the normal distribution.

Mean: The mean is the central value of a data set, also known as the average. In statistics, the mean is calculated by adding all the values together and dividing the sum by the total number of values in the data set.

Standard Deviation: The standard deviation measures the amount of variation or dispersion of a set of data values. The standard deviation of a normal distribution is a measure of the spread of the distribution.

Let X be a normally distributed random variable with mean = 4 and standard deviation = 1.2. The probability that X is less than 12 can be found using the standard normal distribution. The standard normal distribution is a normal distribution with mean 0 and standard deviation 1.

We can convert the normal distribution to a standard normal distribution by using the formula z = (X - µ) / σ, where z is the standard normal variable, X is the normal variable, µ is the mean, and σ is the standard deviation.

In this case, we have X = 12, µ = 4, and σ = 1.2. Substituting these values into the formula gives z = (12 - 4) / 1.2 = 6.67.

The probability that X is less than 12 can be found by calculating the area to the left of the z-score of 6.67 on the standard normal distribution. Using a standard normal distribution table or calculator, we find that this area is approximately equal to 1.
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There are no intersecting points.

The given equations are

y = (2x)² - 6x+5   ....(i)

2y + x =4 ....(ii)

Since we know that,

Degree of equation (i)  = 2

Therefore,

equation (i) is a quadratic equation.,

And equation (ii) has degree 1,

So it is a equation of line,

To find the intersection,

First of we have to plot both graphs,

Then find the coordinate of the intersection of the given line and curve.

After plotting graph,

We can see that,

The given curve and line are not intersecting,

Therefore,

There are no intersecting points.

Hence we can not find the required equation of line.

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Answer:

\(\pm24\)

Step-by-step explanation:

To find the geometric mean of two numbers, you find their product and then take the square root of that product:

\(GM=\sqrt{16*36}=\sqrt{576}=\pm24\)

a. Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71

b.   the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.

To estimate the probability that a randomly selected house  has a value less than $500,000:

P( x < 500,000)=P(x=0)+P(x=500)

=0.34+0.37+

=0.71

Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71

b. -since 40 is larger than or equal to 30, we assume a normal distribution.

-The probability can therefore be calculated as:

P(x')=P( z < (x' -u)/σ.sqrt(n)))

P(z< (500-403)/(578sqrt(40)))

=P(z<2.2068)

=0.986336

Hence, the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

The complete question is -

a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work.

(b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work.

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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The solution of the equation 4x - 3  = 5 is not extraneous .

Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.

Therefore, let's solve the equation to know whether it is extraneous solution.

Hence,

4x - 3  = 5

add 3 to both sides of the equation

4x - 3 + 3 = 5 + 3

4x = 8

divide both sides of the equation by 4

4x / 4 = 8 / 4

x = 2

Therefore, it is not extraneous solution.

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Answer:

Step-by-step explanation:

(x, y)

x in the domain

y in the range

(4, -12); (16, -18); (12, 18); (1, 14)

Domain = {1; 4; 12; 16}

Range = {-18; -12; 14; 18}

Decentralization is a management approach that involves the delegation and assignment of decision-making rights from top levels of management to lower levels of management. Option A

It is an effective way to empower employees and to improve decision-making processes within an organization. The benefits of decentralization include the following:

It empowers more employees at lower levels of management: Decentralization allows employees to take ownership of their work, to be more accountable, and to make decisions that are in the best interest of the organization. This, in turn, leads to improved job satisfaction, employee engagement, and better overall performance.

It allows for better and more timely decision-making: Decentralization ensures that decisions are made closer to where the work is being done. This leads to faster decision-making, improved responsiveness to changes in the market, and better coordination between different departments and teams.

It trains future managers: Decentralization provides employees with the opportunity to gain valuable management experience, which can help prepare them for future leadership roles within the organization.

However, one benefit of decentralization that is not accurate is that it forces top levels of management to focus on individual units. In fact, decentralization can free up top management to focus on the big picture and long-term strategy, rather than getting bogged down in day-to-day operations.

In conclusion, decentralization is a useful management approach that can help organizations improve decision-making, empower employees, and train future managers.

By delegating decision-making rights to lower levels of management, organizations can improve overall performance and become more adaptable to changes in the market.

So Option A is correct.

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complete question:

The benefits of decentralization i.e. delegation and assignment of decision rights include all of the following except:

a it forces top levels of management to focus on individual units

b it empowers more employees at lower levels of management

c it allows for better and more timely decision making

d it trains future managers

Well 1 more cup of chocolate chips since she already put one cup and she needs 2 cups?

Answer: 1 more cup

Answer:

Surface area: 1216

Volume: 4608

Step-by-step explanation:

Scale factor: 5:8

This means that the dimensions of the larger figure are 8/5 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(8/5) by the original surface area(475). So

\(S = (\frac{8}{5})^2 \times 475 = \frac{64}{25} \times 475 = 64 \times 19 = 1216\)

Volume:

The volume is found multiplying the cube of the change(8/5) by the original volume(1125). So

\(S = (\frac{8}{5})^3 \times 1125 = \frac{512}{125} \times 1125 = 512 \times 9 = 4608\)

Answer:

  с  60,800,000

Step-by-step explanation:

Any scientific or graphing calculator can evaluate this expression for you.

__

When adding numbers in scientific notation, they need to have the same multiplier exponent. Here, it is convenient to use 10^6:

  8.0×10^5 = 0.8×10^6

  6.0×10^7 = 60×10^6

Then the sum is ...

  (0.8 +60)×10^6 = 60.8×10^6 = 60,800,000