Simplifying fractions

Answer:

Total number of minutes in 2 days = 2880

Total time used for recycling garbage in 2 days = 2880/3 = 960

If 3 minutes = 1/2 tons

Then 960 minutes = 960*1/2 = 960/2 = 480

Therefore 480 tons of garbage where recycled in 2 days

The result of population of all celebrities tell us option (C)Apart rom the fact that all other celebrities have amounts of net worth lower than those given nothing meaningful can be known about the population

The results obtained from the given information only provide limited information about the net worth of a small sample of celebrities. The measures of center, such as mean, median, mode, and midrange, provide a snapshot of the sample data but cannot be used to draw conclusions about the entire population of all celebrities. For instance, the most common net worth found in part c only provides information about the net worth that is the most frequent in the given sample, but it does not give us an idea of the range of net worth that exists in the population of all celebrities.

To make any meaningful conclusions about the population of all celebrities, a more comprehensive and representative sample needs to be considered. A larger sample size would allow us to capture the diversity of net worth that exists among celebrities. Additionally, the sample should be chosen in such a way that it is representative of the entire population of all celebrities. Only then can we use statistical measures to provide reliable insights into the net worth of all celebrities.

Therefore, the correct option is (C) Apart rom the fact that all other celebrities have amounts of net worth lower than those given nothing meaningful can be known about the population

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The given question is incomplete, the complete question is:

What do the results tell us about the population of all celebrities'? 。A. The results tell us that all celebrities are expected to have amounts of net worth approximately equal to one of the measures of center found in parts a through d 。B. part o the act that all other celebrities have amounts of net worth lower than those given, the results in parts a), b), and d) do not given mean full results. However, the result from part c) shows that the most common celebrity О С Apart rom the fact that all other celebrities have amounts of net worth lower than those given nothing meaningful can be known about the pop a n. 。D. The results tell us that the most common colet rity net worth is the mode, but all other celo ritios are expected to have net worths approximat hy equal to the mean, median, or midrange

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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Answer:

yes, you do.

FYI: 1/4 of an hour is 15 minutes

Answer:

A (0,0)

Step-by-step explanation:

When a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, the y-intercept of the given function is (0,0),

Option A is correct.

The nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

Given the 13th unit requires 87 minutes and 26th unit requires 64 minutes.To find the estimated time required by the 50th unit, we need to use the equation of the linear equation of the line.Let's find the value of m (slope).`m = (64 - 87)/(26 - 13)m = -23/13`Let's find the value of b (y-intercept).`b = 87 - (-23/13) × 13b = 87 + 23b = 110`

Therefore, the equation of the line can be written as:y = -23/13 x + 110Let's substitute the value of x as 50 and find the value of y (time required by the 50th unit).`y = -23/13 × 50 + 110y = 47.31`Rounded to the nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

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The mean of Class 1 is 78.83.

The median of Class 1 is  88

The mode of Class 1 is 90

The mean of Class 2 is 79.42

The median of Class 2 is 85.50

The mode of Class 2 is 90

The mean of Class 3 is 79.42

The median of Class 3 is 78

The mode of Class 3 are 75 and 80

The standard deviation of Class 1 is 18.81

The standard deviation of Class 2 is 16.15

The standard deviation of Class 3 is 12.70.

The class that had the higher standard deviation is class 1.

The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.

Mean is the average of a set of numbers.

Mean = sum of numbers / total number

Mean of Class 1 = (45 + 50 + 55 + 68 + 77 + 86 + 90 + 90 + 90 + 95 + 100 + 100) / 12 = 78.83

Mean of Class 2 = (40 + 64 + 65 + 70 + 80 + 84 + 87 + 88 + 90 + 90 + 95 + 100) / 12 = 79.42

Mean of Class 3 = (55 + 65 + 70 + 75 + 75 + 76 + 80 + 80 + 88 + 90 + 99 + 100) / 12 = 79.42

Median is the number that is at the center of the dataset that is arranged in either ascending or descending order.

Median of Class 1 = (86 + 90) / 2 = 88

Median of Class 2 =  (84 + 87) / 2 = 85.50

Median of Class 3 = (76 + 80) / 2 = 78

Mode is the number that occurs most frequently in a dataset.

Standard deviation is used to calculate the average variation of a dataset.

Standard deviation = \(\sqrt{\frac{(x - u)^{2} }{n} }\)

Where:

Standard deviation of Class 1 = 18.81

Standard deviation of Class 2 = 16.15

Standard deviation of Class 3 = 12.70

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Answer:

Down below!

Step-by-step explanation:

A.

The mean 78.83.

The median  88

The mode 90

The range 55

B.

The mean 79.42

The median 85.50

The mode 90

The range 60

C.

The mean 79.42

The median 78

The mode 75 and 80

The range 45

D. 18.81

E. 16.15

F. 12.70

G. The class that had the higher standard deviation is class 1.

H. The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.

Answer:

(2/3,0)(-2,0)

Step-by-step explanation:

Answer:

(3x-2)(x+2)

if u are solving,

x=0.667

x=-2

Answer:

What is the value of √m = ∓ 17

The value of √m = ∓ 17 is undefined.

Answer:

Step-by-step explanation: (15+12)-3^2 power ------> 27-3^2 power ----> 27-9 ----> equals 18

ANSWER:

18

SOLUTION:

(15+12) -3^2

(15+12) = 27

=27-3^2

=27- 9

=18

Answer:

120 is correct and the formula to be used is 10C₃ or 10C₇ both of which work out to 120

Step-by-step explanation:

That appears to be correct . Since only one of two possibilities exist for each toss, for 10 tosses we determine if 3 heads appear that would be the same as 7 tails appearing for the 10 tosses

Number of ways r heads can appear in n tosses is indeed nCr

For r= 3 heads and n = 10 tosses this would be

10C₃ = 120

This should be the same as 10C₇ which works out to 120 also

Answer: D

Step-by-step explanation:

Answer:

Answer: D

Step-by-step explanation:

Answer:

560/9 cubes

Step-by-step explanation:

How many 1/3 inch cubes does it take to fill a box

the dimension of the box is

width 2 2/3 inches,

length 3 1/3 inches, and

height 2 1/3 inches

The volume of the box is

volume= L*W*H

volume= 3 1/3 * 2 2/3* 2 1/3

converting to proper fraction

volume= 10/3*8/3*7/3

volume= 10*8*7/3*3*3

volume=560/27 in^3

the volume of the cube is 1/3

so the number of cubes will be

=560/27/1/3

=560/27*3

=560/9

In year one and five, we see that Peer Com and CDX Groul produced the greatest return on investment.

From the graph attached, we see that it represents the year in which the greatest return on investment was made on the x-axis while the y-axis shows the value of 100 shares in dollars.

Now, in year 1, the pair that would give the greatest return on investment are; Peer Com and CDX Groul

Similarly, in year five we see that Peer Com and CDX Groul produce the greatest return on investment.

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Step-by-step explanation:

we know,

volume of pyramid = 1/3 × base area × height

so,

→ 1/3 × 120 × 9

→ 40 × 9 = 360 ft

so the volume of the pyramid is 360 ft².

base area = length × slant height

so, 12 × 10 = 120

hope this answer helps you dear....take care and may u have a great day ahead dear !

Answer:

Multiply them

Step-by-step explanation:

use the strategy

The inverse of the function are shown below.

To find the inverse of function replace x and y and solve for x we get,

1. h(n)= 2/3n - 2

y= 2/3n-2

2/3n = y+2

n= 3/2(y+2)

n = 3/2y + 3

So, the inverse is y= 3/2n + 3.

2. g(x) = -x + 3

y = -x+ 3

-x= y- 3

x = 3-y

So, the inverse is y= 3 -x

3. g(n) = -4n+ 12

y= -4n+ 12

-4n = y- 12

n = 3 - y/4

So, the inverse is y = 3- n/4

4. g(x) = -3x+ 9/2

y = -3x + 9/2

2y - 9 = -3x

x = 3 - 2y/3

So, the inverse is y = 3 -2x /3

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Answer:

\(3\sqrt{3}\)

\(\left(\frac{\left(6\cdot \:\:\:sin\left(30\right)\right)}{sin\left(90\right)}\right)^2+x^2=36\)

Step-by-step explanation:

To the nearest tenth of a kilogram, m = 0.6 kg.

What is ttemperature rate ?

With increase in temperature, the rate of the reaction and the rate constant increases. As a generalization, the rate of the reaction (and the rate constant) becomes almost double for every ten degree rise in temperature. This is also called temperature coefficient.

the heat Q required to raise the temperature of water varies jointly as the mass m of the water and the amount of temperature change T, and Q = 20,930 J when m = 1 kg and T = 5°C.

So, write an equation for Q as:

Q = k * m * T

where k is a constant of proportionality.

Substituting the known values, we can find k:

20930 = k * 1 * 5

k = 20930 / (1 * 5) = 4186

Now that we have k, use it to find m when Q = 8349 J and T = 3°C:

8349 = 4186 * m * 3

m = 8349 / (4186 * 3)

To the nearest tenth of a kilogram, m = 0.6 kg.

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The mass of the water m is 0.7 kg.

Since Q varies jointly as m and T, we know that Q = k * m * T where k is a constant of proportionality. Using the given information, we can find the value of k:

Q = 20,930 J when m = 1 kg and T = 5° C

k = Q / (m * T) = 20,930 / (1 * 5) = 4186

Now that we have found k, we can use it to find m when Q = 8,349 J and T = 3°C:

Q = k * m * T

8,349 = 4186 * m * 3

m = 8,349 / (4186 * 3) = 8,349 / 12,558

m = 0.67 kg

To the nearest tenth of a kilogram, m = 0.7 kg.

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Answer:

x=63/4

Step-by-step explanation:

Answer:

11/20

Step-by-step explanation:

1 hour - 60 min

so fraction is 33/60

= 11/20

Answer:

64.9 and 40.25

Step-by-step explanation:

I think that that is correct.

Hope that it helps though!

His mistake was adding 12+2 when he was supposed to subtract.

To express the given system of differential equation as an almost linear system, we need to find the partial derivatives of the given functions with respect to x and y.

∂f/∂x = -ex
∂f/∂y = 2
∂g/∂x = -1
∂g/∂y = -4cosy

Now, substituting these values in the general form of an almost linear system,

x′(t) = ax + by + r(x,y)
y′(t) = cx + dy + s(x,y)

we get,

x′(t) = -ex + 2y
y′(t) = -x - 4cosy

So,

a = -e, b = 2, c = -1, d = 0

At the critical point (0,0), the Jacobian matrix is

J(0,0) = ⎡⎣⎢⎢⎢-1 2⎤⎦⎥⎥⎥

The eigenvalues of this matrix can be found by solving the characteristic equation,

det(J - λI) = 0

where I is the identity matrix of the same size as J.

det ⎡⎣⎢⎢⎢-1-λ 2⎤⎦⎥⎥⎥ = (-1-λ)(-λ) - 2(2) = λ^2 + λ - 4

Using the quadratic formula, we get the eigenvalues as

λ1 = (-1 + sqrt(17))/2 ≈ 0.56
λ2 = (-1 - sqrt(17))/2 ≈ -2.56

Since the eigenvalues have opposite signs, the critical point is a saddle.

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Answer:

34

Step-by-step explanation:

Set the two equations equal to eachother to find x=16. The measures of the two angles are 73. 73 times 2 equals 146. 180 minus 146 is 34.

Answer:

23 is your answer for your question

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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The value of the probability represented by P(Take the bus | Sophomore) is 0.83

Conditional probabilities are probabilities that only occurred because an event has already occurred i.e. they are dependent on the initial event

From the table of values in the question, we have the following parameters:

The required probability represented by P(Take the bus | Sophomore ) = [?] is then calculated as:

P(Take the bus | Sophomore) = Number of students that (Take the bus and Sophomore) divided by Number of students that are (Sophomore)

Substitute the known values in the above equation

P(Take the bus | Sophomore) = 25/(2 + 25 + 3)

Evaluate the sum in the denominator

P(Take the bus | Sophomore) = 25/30

Evaluate the above quotient

P(Take the bus | Sophomore) = 0.83

Hence, the value of the probability represented by P(Take the bus | Sophomore) is 0.83

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The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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