One-inch radius steel ball bearings are machined so that the radius is within a tolerance of 0.004 inch. Find the error and relative error in volume.

Answer:

my life hurts now

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

GET A BOOK U MORON

The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

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Answer:

x=3

Step-by-step explanation:

What u should always do is look at the letters of the triangles given:

It will tell u that:

\( \frac{tu}{dc} = \frac{uv}{cb} \)

Now we once again just sub in the values:

\( \frac{12}{9} = \frac{20}{4x + 3} \)

we can simplify the fraction on the right

\( \frac{4}{3} = \frac{20}{4x + 3} \)

And now we cross multiply

3×20=4(4x+3)

60=16x+12

60-12=16x

48=16x

Therefore :

x=3

Answer:

5/8

Step-by-step explanation:

To express 50 as a fraction of 80, we simply put 50 as the numerator and 80 as the denominator:

50 / 80

Now, we find the highest common factor of these two numbers. The highest common factor is 10, so the fraction becomes:

(5 * 10) / (8 * 10)

Striking 10 out of the numerator and denominator:

5/8

This is 50 as a fraction of 80 in its simplest form.

Answer:

a) 75%.

b) 84%

c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by \(100(1 - \frac{1}{k^{2}})\).

In this question:

Mean: 6.3 hours

Standard deviation: 1.6 hours

(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.

3.1 = 6.3 - 2*1.6

9.5 = 6.3 + 2*1.6

Within 2 standard deviations, so the minimum percentage is 75%.

(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.

How many standard deviations from the mean?

One standard deviation is 1.6

These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which

\(k = \frac{4}{1.6} = 2.5\)

The minimum percentage is:

\(100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%\)

So 84%.

(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.

Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Answer:

-15

Step-by-step explanation:

When functions are "nested" like this (nested is not a math word; the mathy word is composed or composition) you need to start all the way on the inside.

f(g(-3))

means find g(-3) first, then put that answer into f.

g(x) = x - 7

g(-3) = -3 - 7

g(-3) = -10

We found g(-3) is -10, so now put -10 into f.

f(x) = 2x + 5

f(-10) = 2(-10) + 5

= -20 + 5

= -15

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

First, the length of the red ring the outside to inside is 3 units (10-7).

then, do area of bigger circle - smaller circle.

\(10\pi ^2-7\pi ^2\) = \(3\pi ^2\) which is about \(29.6^2\) units

The integers can be either 11, 12 and 13 or -5, -4 and - 3.

Let the three consecutive integers be:

x - 1, x, x + 1

Now, the product of the smallest and the largest integer will be:

(x - 1) × (x + 1)

= x² - 1

ATQ, we get the equation as:

x² - 1 = 8 x + 47

x² - 8 x - 48 = 0

Use middle term splitting, we get that:

x² - 12 x + 4 x - 48

x (x - 12) + 4 (x - 12)

(x - 12) (x + 4)

x = 12 or x = - 4

So, the integers will be:

11, 12 and 13   or -5, -4 and - 3.

Therefore, we get that, the integers can be either 11, 12 and 13 or -5, -4 and - 3.

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Answer:

22 1/2

Step-by-step explanation:

Therefore , the solution of the given problem of expressions comes out to be  potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.

Here,

The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":

Mass times gravity times height equals gravitational potential energy.

where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.

Inputting the values provided yields:

The gravitational potential energy is equal to

=> 0.52 kg * 9.81 m/s2 *550 m,

=> 2,798.46 joules.

Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

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Answer:

81500

Step-by-step explanation:

2500x5=12500

69000+12500=81500

Step-by-step explanation:

The average weight of a male African elephant is 15,000 pounds.

To convert pounds to tons, we divide the weight in pounds by 2,000 (the number of pounds in a ton):

15,000 pounds ÷ 2,000 pounds/ton = 7.5 tons

Therefore, the weight of a male African elephant is approximately 7.5 tons.

So the closest answer to this question is "7 tons".

Answer:

7 tons

Step-by-step explanation:

The average weight of a male African elephant is 15,000 pounds. To convert this weight into tons, we need to divide it by 2,000 (since there are 2,000 pounds in a ton).

So, 15,000 ÷ 2,000 = 7.5 tons.

Therefore, the answer is 7 tons (since there are no fractions of tons in the options given).

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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Answer:

-2<=y<=-7

Step-by-step explanation:

Answer:

the first car has 25 gallons of gases while the second car has 35 gallons of gases

Answer:

Step-by-step explanation:

r=20/100=0.2<|1|

\(S_{\infty} =\frac{a_{1}}{1-r} \\=\frac{100}{1-0.2} =\frac{100}{0.8} =125\)

Answer:

-------------------------

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

Answer:

89.44

Step-by-step explanation:

\(120^2-80^2=8000\)

\(\sqrt{8000} = 89.44\)

The amount Barbara earned this month is  $1512.

Percentage can be described as a fraction of an amount expressed as a number out of hundred.

Barbara's earnings = percentage commission x worth of goods sold

7% x 21,600

0.07 x 21,600 = $1512

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The probability of P(X = 48) and P(Y =2) is 0.1056 and 0.2642 respectively.

Suppose 10 percent of households earn over 80,000 dollars a year,and 0.25 percent of households earn over 450,000.

a random sample of 400 house-holds has been chosen

N = 400

P = 25%

n*p = 400*0.25 = 100

n(1-p) = 400 * 0.75 = 300

100 and 300 are greater than 5 so we use the normal distribution here to estimate further.

mean = n*p = 100

sd = √(np(1 - p))

sd = √(100(1 - 0.25))

sd = √(100 x 0.75)

sd = √75

sd = 8.66

p(X≥48)

= p(X≥47.5)

P(z <  (47.5 - 40)/6)

P(z < 1.25)

= 0.8944

1 - 0.8944

= 0.1056

FOR Y

N = 400 p = 0.25% = 0.0025

400 * 0.0025 = 1

1 is less than 5 so we use poisson distribution.

using the excel function,

1 - BINOMDIST(1, 400, 0.0025, TRUE)

= 1 - 0.735759074

= 0.2642

Therefore, the probability of P(X = 48) is  0.1056 and P(Y =2) is 0.2642

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Answer:

625

Step-by-step explanation:

Square has four sides. 100/4=25

Area=L×W

25×25=625 square feet

Answer:

There's 3 questions which one do I answer?

Step-by-step explanation:

Answer:

20 students are randomly selected from the school.

Answer:

0.25

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

3÷12=0.25

12 goldfish for $3

Answer: To convert 12 yards to inches using dimensional analysis, we can set up the conversion factor as follows:

12 yd x (3 ft / 1 yd) x (12 in / 1 ft) = 432 in

Therefore, 12 yards is equal to 432 inches.

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Answer:

I believe its D

Step-by-step explanation:

The situation involving the food establishment has a probability 2.08 percentage points higher than the situation involving the financial establishment

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Now, From a more complete question, we have the following parameters:

The probability that the establishment earns up to $25k is 10.59%

And, The probability that the establishment earns between $25k - $50k or $50k - $75k is,

⇒ 8.56%

Using the above values, the difference in the probabilities is,

d = 10.59% - 8.56%

This gives

d = 2.03%

Hence, the true statement about the probability is, (c)

⇒ The situation involving the food establishment has a probability 2.08 percentage points higher than the situation involving the financial establishment.

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