12 minus half the sum of 6 and 4​

a) the mean of pygmy sloths is 12 pounds, b) the pygmy sloths is 0.75 pounds. c) means-to-MAD ratio is 21.33

(a) To calculate the mean for each type of sloth, we sum up the weights and divide by the number of observations.

For the pygmy sloths:

Mean = (14 + 15 + 16 + 16 + 16 + 16 + 17 + 18) / 8

= 128 / 8

= 16 pounds

For the maned sloths:

Mean = (10 + 11 + 11 + 12 + 12 + 12 + 14 + 14) / 8

= 96 / 8

= 12 pounds

(b) For the pygmy sloths:

MAD = (|14 - 16| + |15 - 16| + |16 - 16| + |16 - 16| + |16 - 16| + |16 - 16| + |17 - 16| + |18 - 16|) / 8

= (2 + 1 + 0 + 0 + 0 + 0 + 1 + 2) / 8

= 6 / 8

= 0.75 pounds

For the maned sloths:

MAD = (|10 - 12| + |11 - 12| + |11 - 12| + |12 - 12| + |12 - 12| + |12 - 12| + |14 - 12| + |14 - 12|) / 8

= (2 + 1 + 1 + 0 + 0 + 0 + 2 + 2) / 8

= 8 / 8

= 1 pound

(c) The means-to-MAD ratio for the pygmy sloths is:

Means-to-MAD ratio = Mean / MAD

= 16 / 0.75

= 21.33

The means-to-MAD ratio for the maned sloths is:

Means-to-MAD ratio = Mean / MAD

= 12 / 1

= 12

(d) Based on the information provided, we can infer that the weights of the pygmy sloths are more variable compared to the maned sloths.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The given expression is 3 x (5-2)-1

From the options

If Orlando has 5 actions figures.

He decides to give 2 of them to his younger brother, then he will have (5-2) action figures left

His parents were happy with him and tripled what he had left

3 x ( 5 -2 ) action figures.

If he had so many actions figures after that and he gave his brother 1 more action figure then he will have

3 x ( 5-2) - 1 action figures left.

The right answer is therefore option B

The point where the line through (5, 2) with slope 4 crosses the vertical axis is (0, -18).

To do this, we can use the point-slope form of a line equation:

y - y1 = m(x - x1)

Here, (x1, y1) is the given point (5, 2) and m is the slope, which is 4. Let's plug in these values:

y - 2 = 4(x - 5)

Now, we need to find the point where the line crosses the vertical axis (y-axis). When a point is on the y-axis, its x-coordinate is 0. So, we will substitute 0 for x and solve for y:

y - 2 = 4(0 - 5)
y - 2 = -20
y = -20 + 2
y = -18

Therefore, the point where the line through (5, 2) with slope 4 crosses the vertical axis is (0, -18).

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A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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Cartesian equation for x=t2,y=2+3t, x=Ay2+By+C, Where

A=1, B=0, and C=0

To eliminate the parameter t and find a Cartesian equation for the given equation, we need to solve for t in terms of x and substitute it into the equation for y.

We start by solving for t in terms of x:

t = √x

Now, we substitute this into the equation for y:

y = 2 + 3√x

Therefore, the equation for x and y becomes:

x = x

y = 2 + 3√x

Which can be represented as a Cartesian equation:

Ay2 + By + C = 0

where A=1, B=0, and C=0.

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Answer:

inverse function f⁻(x) = 1 / (4x + 8)

Mark it as brainlist answer

Step-by-step explanation:

Answer:

3 f(x + 4) -2

Explanation:

Given that our parent function is f(x), stretching it vertically by a factor of 3 gives

the translating the function by units to the left gives

finally, moving it down by 3 units gives

which is our answer!

Answer: J) 28

Step-by-step explanation: Triangle interior angles equal 180°

The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.

we know that

In the right triangle XYZ

\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)

In this problem,

Opposite side angle YZX= XY = 12.4cm

Adjacent side angle YZX= YZ = 15.1cm

substitute the values,

\(tan ( Y Z X) = \frac{12.4}{15.1}\)

\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)

Angle ( Y Z X) = 39.4°

So,  the approximate measure of angle YZX is 39.4°.

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The complete question is:

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?

A .34.8°

B .39.4°

C .50.6°

D. 55.2°

The inequality represents the number of cookies and pies is:

9c + 15p ≥ 300

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

Since Charlie’s gaming club wants to make at least $300 selling boxes of cookies and pies. We can write:

9c + 15p ≥ 300

Note: at least $300 means it can be $300 or more. That is it can be greater than or equal to (≥)

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Answer:

8 and 2/8

Step-by-step explanation:

3 and 2/8 times 2 is 6 and 4/8 then u subtract that from 14 and 6/8

Answer:

1 is 18, and 2 is 36 brainliest

Step-by-step explanation:

The slant height of the model pyramid is approximately 32.01 cm.

The slant height of a square pyramid can be found using the Pythagorean theorem, which states that the square of the hypotenuse (in this case, the slant height) is equal to the sum of the squares of the other two sides.

In a square pyramid, one of the sides is the height of the pyramid, and the other two sides are the base side length and half the diagonal of the base.

To find the diagonal of the base, we can use the Pythagorean theorem again.

The diagonal of a square with a side length of 22 cm can be found by squaring the side length, adding it to itself (since it is a square, all sides are equal), and taking the square root of the sum. So:
diagonal = √(22^2 + 22^2) = √(2*22^2) = 22√2

Half of the diagonal is simply 11√2.

Now we can use the Pythagorean theorem to find the slant height:
slant height^2 = height^2 + (base/2)^2
slant height^2 = 28^2 + (11√2)^2
slant height^2 = 784 + 242
slant height^2 = 1026
slant height = √1026

Therefore, the slant height of the model pyramid is approximately 32.01 cm.

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Answer:

x ≈ 30.1°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{HJ}{GJ}\) = \(\frac{45}{52}\) , then

x = \(cos^{-1}\) ( \(\frac{45}{52}\) ) ≈ 30.1° ( to the nearest tenth )

Answer:

We are going to use Cosine \(\frac{adjacent}{Hypotenuse}\)

\(\frac{45}{52}\)

Now, we use the inverse of cosine

\(cos^{-1} (45/52) = 30.1\)  (rounded to the nearest tenth of a degree)

your answer is x = 30.1 degrees.

Step-by-step explanation:

Answer:

y>x3+x2

Step-by-step explanation:

it has the greater than sign

Answer:

9:17

Step-by-step explanation:

Answer: 9:17 am

Step-by-step explanation: I added all the minutes together and got 77 minutes. Then I simplified the 77 minutes into an hour and 17 minutes. Then I added the 1hour and 17minutes to 8:00 am.

The margin of error on the survey is 4 pounds. This means that we can be 95% confident that the true mean weight of the residents in the town is between 187 and 195 pounds.

To find the margin of error on the survey, we need to first determine the midpoint of the confidence interval, which is the average of the upper and lower bounds:

Midpoint = (183 + 199) / 2 = 191

Next, we need to determine the distance from the midpoint to either the upper or lower bound of the confidence interval:

Distance = (199 - 191) = (191 - 183) = 8

Finally, we divide the distance by 2 to get the margin of error:
Margin of error = Distance / 2 = 8 / 2 = 4

Therefore, the margin of error on the survey is 4 pounds. This means that we can be 95% confident that the true mean weight of the residents in the town is between 187 pounds (191 - 4) and 195 pounds (191 + 4).

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Answer: 16x^2 - 80x

if you simplify

Step-by-step explanation:

hope this helps pls mark brainliest

Answer:SPssp=631.68

Step-by-step explanation:

Answer:

What is the question? I don't understand

Answer:

231.746 km

Step-by-step explanation:

In order to find the answer to this question we will have to answer it using what the question gives us.

The car traveled for 2 hours and 15 minutes

The average speed of the car was 64 mph (miles per hour)

2 hours = 64 + 64 = 128

15 minutes is 1/4 of a hour which means you need to divide miles per hour by 4

64 ÷ 4 = 16 or 16+16+16+16 = 64

128 + 16 = 144 distance total

Since the answer needs to be in kilometers we need to convert miles into kilometers.

We know that..

1 mile = 1.60934 km

Which means you need to multiply 1.60934 by 144 (total number of miles) to find your answer in kilometers.

1.60934 × 144 =231.746km

= 231.746km

Hope this helps.

Answer:

37.5

975

Step-by-step explanation:

Your new equation is 7.5(x)

For question a you do 7.5 times 5, as 5 represents x.

37.5

For question b it is 7.5 times 130

975

Please give me brainliest

(Hope it helps)

Answer:

with what

Step-by-step explanation:

we cant help u if we dont onow what it is

Answer:

How do i help?

Step-by-step explanation:

Check the picture below.

Answer:

D

Step-by-step explanation:

First we can start with north and south. This menas the y value is affected and not the x.

(-6, 10) The y(10) can have +4 and -4, which is 14 and 6. D has both (-6, 14) and (-6, 6)

For East and west, x is changed and right is not so

(-6, 10) The x(-6) can have +4 and -4, which is -2 and -10, D has both (-10, 10) (-2, 10)

That's why D is the right answer

Answer:

.58 cm^3

Step-by-step explanation:

The formula for finding the volume of a cube is V = a^3 where a is a side length.

If you input the given value into the formula, you get .58 cm^3

Please mark as brainliest ;)

It is sampled at a rate 25% higher than the Nyquist rate and quantized into L levels. The maximum acceptable error in sample amplitudes is limited to 0.1% of the peak signal amplitude.

To sketch the amplitude spectrum of g(t), we observe that sinc functions centered at 16 kHz and 10 kHz contribute amplitudes of 16x10³ and 10x10³, respectively, while the cosine component centered at 30 kHz has an amplitude of 20x10³. The horizontal axis represents the frequency (f).

The amplitude spectrum of the sampled signal, within the range -50 kHz to 30 kHz, will exhibit replicas of the original spectrum centered at multiples of the sampling frequency. The amplitudes and frequencies should be labeled according to the replicated components.

The minimum required bandwidth for binary transmission can be determined by considering the highest frequency component in g(t), which is 30 kHz. Therefore, the minimum required bandwidth will be 30 kHz.

For M-ary multi-amplitude signaling within a channel bandwidth of 50 kHz, we need to find the minimum value of M. It can be determined by comparing the available bandwidth with the required bandwidth for each amplitude component of g(t). The minimum M will be the smallest number of levels needed to represent all the significant amplitude components without violating the bandwidth constraint.

To minimize M, we need to select a pulse shape that achieves the narrowest bandwidth while maintaining an acceptable level of distortion. Different pulse shapes can be considered, such as rectangular, triangular, or raised cosine pulses.    

If a raised cosine pulse is used, the roll-off factor determines the pulse shape's bandwidth efficiency. The roll-off factor is defined as the excess bandwidth beyond the Nyquist bandwidth. The required M can be calculated based on the available channel bandwidth, the roll-off factor, and the distortion tolerance.

When using delta modulation with a sampling rate of five times the Nyquist rate, the number of levels (L) and corresponding bit rate can be determined by considering the quantization error and the maximum acceptable error in sample amplitudes. The bit rate will be determined based on the number of bits required to represent each level and the sampling rate.  

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The formula to calculate the geometric mean of two numbers is the square root of their product.

So in this case, the geometric mean can be calculated as follows:

Geometric Mean = √(8 * 12) = √96 = 10

The growth factors for the population of Chattanooga in the past two years have a geometric mean of 10.

The geometric mean is a measure of central tendency that is used to describe the average growth rate of a set of numbers. It is especially useful when working with data that represents exponential growth or decay, such as population growth or the rate of return on an investment. Unlike the arithmetic mean, the geometric mean takes into account both the size and the direction of growth. This makes it a better measure of central tendency for data that is not symmetrically distributed.

In the case of population growth, the geometric mean can be used to determine the average annual growth rate over a given period of time. For example, if the population of a city grows by 8% in one year and then by 12% the following year, the average annual growth rate over the two years can be estimated using the geometric mean.

It is important to note that the geometric mean is always smaller than the arithmetic mean for the same set of numbers, and it can be a better representation of the underlying growth trend in some cases.

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