Determine which answer in the solution set will make the equation true.

4f − 10 = 3f − 18

S: {−18, −8, 3, 8}

A. −8
B. 8
C. −18
D. 3

512g is  32 percent οf 1600 g

It's the ratiο οf twο integers stated as a fractiοn οf a hundred parts. It is a metric fοr cοmparing twο sets οf data, and it is expressed as a percentage using the percent  symbοl %.

When twο numbers are divided by each οther, the result is a quοtient. Fοr instance, when we divide 6 by 3, the result is 2, which is the quοtient. An integer οr a decimal number can be the quοtient.

Cοnvert kgs tο grams (g)

1 kg = 1000 g

1.6kg = 1600 g

we have   512g/ 1600 g  

Fοr  percentage , multiply by 100

(512/ 1600) *100 = 32%

512g  is  32% οf 1600 g

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Answer: Lower Quartile: 3    Upper Quartile: 8 Median: 4

Step-by-step explanation:

I don't know if this is 100% accurate as I haven't done this in a while, but I'll try my best to help.

1. The median in the data set would count as the middle, so the median would be between all of the numbers there, which in this case is  4.

2. Since the median is 4, the other two halves are split into five, making it easier to find the other quartile, so the middle number in the area to the left is going to be 3.

3. The last area to the right is like I said before, split into 5, so between the five numbers the middle number of that area would be 8.

  Sorry for the bad explanation, and I hope this helped!

Answer:

y = 2

Step-by-step explanation:

The line is parallel to x-axis so its slope = 0

in y = mx + b:

m = 0

b is the y intercept so b = 2 ( from the graph)

y = 0×x + 2

y = 2

Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

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Answer:

100

Step-by-step explanation:

H T U

1 2 2

2 is a num below 5 therefore

2=0

The formula for moose population is P = 4760 + (number of years x 200).

The moose population in 2003 would be 6760.

When a population increases linearly, it means that it increases by the same amount each year.  

Rate of linear increase: (population in 1999 - population in 1993) / difference in years

(5960 - 4760) / (1999 - 1993)

1200 / 6 = 200

Linear function : initial population + (rate of increase x number of years)

Population in 2003: 4760 + (200 x 10)

4760 + 2000 = 6760

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Answer:

B. Division Property of Equality

Step-by-step explanation:

Hope it helps.

Since n•u is not equal to 0, we conclude that the vector u is not in the plane spanned by the columns of A.

A vector u is in the plane spanned by the columns of a matrix A if and only if the dot product between u and the normal vector of the plane is equal to 0.

In this case, let A = [5 -2 1; -3 6 1]. To determine if u = [-12, 36, 8] is in the plane spanned by the columns of A, we can calculate the dot product between u and the normal vector of the plane, which can be found by taking the cross product of the two columns of A.

Since the cross product of two columns in A gives the normal vector of the plane spanned by the columns, we have:

n = (5, -2, 1) × (-3, 6, 1) = (18, -26, -11)

Next, we calculate the dot product of n and u:

n•u = (18, -26, -11) • [-12, 36, 8] = 18 * -12 - 26 * 36 - 11 * 8 = -816 - 936 - 88 = -1840

Since n•u is not equal to 0, we conclude that the vector u is not in the plane spanned by the columns of A. In other words, u is not orthogonal to the normal vector of the plane and therefore, is not in the plane.

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Terrible weather is a book written by Qi haoran

After solving,  41.67 Hz wing beats the dragonfly performs per second.

In the given question, if the video is shot at 190 frames per second, then we have to find how many wing beats the dragonfly performs per second.

From the given question,

Frames per one wing beat = 6 frames

Video shot at = 250 frames per second

We firstly find the time period

So, Time period (T) = 6/250

T= 0.024 s

Snce we have to find how many wing beats the dragonfly performs per second.

Per second number of wing beats = 1/T

Per second number of wing beats = 1/0.024

Per second number of wing beats = 41.67 Hz

Hence, 41.67 Hz wing beats the dragonfly performs per second.

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The right question is;

A frame by frame analysis of a slowmotion video shows that a hovering dragonfly takes 6 frames to complete one wing beat.

If the video is shot at 190 frames per second, how many wing beats does the dragonfly perform per second?

The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

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To derive the least-squares fit for the model y = a1x + a2x^2 with a zero intercept, we need to minimize the sum of squared residuals. Let's denote the observed data points as (xi, yi) for i = 1 to n.

The objective is to find the values of a1 and a2 that minimize the following sum of squared residuals:

SSR = ∑(yi - (a1xi + a2xi^2))^2

To find the minimum, we differentiate SSR with respect to a1 and a2 separately and set the derivatives equal to zero.

Partial derivative with respect to a1:

∂SSR/∂a1 = -2∑(yi - (a1xi + a2xi^2))*xi = 0

Partial derivative with respect to a2:

∂SSR/∂a2 = -2∑(yi - (a1xi + a2xi^2))*xi^2 = 0

Expanding the above equations:

∑(yixi) - a1∑(xi^2) - a2∑(xi^3) = 0 ------ (1)

∑(yixi^2) - a1∑(xi^3) - a2∑(xi^4) = 0 ------ (2)

Now, let's solve these equations to find the values of a1 and a2.

From equation (1):

a1∑(xi^2) + a2∑(xi^3) = ∑(yi*xi) ------ (3)

From equation (2):

a1∑(xi^3) + a2∑(xi^4) = ∑(yi*xi^2) ------ (4)

We can express equations (3) and (4) in matrix form as:

| ∑(xi^2) ∑(xi^3) | | a1 | = | ∑(yixi) |

| ∑(xi^3) ∑(xi^4) | | a2 | = | ∑(yixi^2) |

Solving this system of linear equations will give us the values of a1 and a2.

Once a1 and a2 are determined, we have the least-squares fit of the model y = a1x + a2x^2 with a zero intercept.

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Answer:

A

Step-by-step explanation:

using the Sine rule in the triangle

we require the third angle

third angle = 180° - 42° - 61° = 180° - 103° = 77°

then

\(\frac{x}{sin42}\) = \(\frac{13}{sin77}\) ( cross- multiply )

x × sin77° = 13 × sin42° ( divide both sides by sin77° )

x = \(\frac{13sin42}{sin77}\) ≈ 8.9 cm ( to 1 decimal place )

Answer:

-14+8

Step-by-step explanation:

Two minus signs directly next to each other are equivalent to a plus sign.

Answer:

-14.8 = -112 gitu aja sudah amat jangan maen game

Answer:

top left

Step-by-step explanation:

It has a constant increase of x2 every time you go up in x by 1 the y column goes up x2 of the previous number.

Answer:

A

Step-by-step explanation:

a) The table of probability is given below.

b) The expected number of suits in a 5-card hand dealt from a standard 52-card deck is 2.345.

We have to choose from four suits, so there are 4 ways to choose which suit we will get. After we have chosen a suit, we need to select 5 cards from that suit.  We can choose any combination of 5 cards from 13 cards as there are 13 cards in each suit. We can calculate this by formula for combinations: C(13,5) = 1287.

We can choose any 5 cards from the 52 cards. This can also be calculated by the formula for combinations: C(52,5) = 2598960.

The probability of getting exactly one suit in a 5-card hand will be

= 4 * C(13,5) / C(52,5) = 0.198.

We can fill the table for all possible values of X using similar calculations

value of X     probability

1    |               0.198

2    |             0.422

3    |             0.308

4    |             0.071

We need to multiply each possible value of X by its probability and then add up the results to compute the expected number of suits in a 5-card hand.

E(X) = Σ (X * P(X))

Here Σ denotes the sum over all possible values of X, and P(X) is the probability of getting X suits. When we apply this formula to the table above, we get:

E(X) = 1 * 0.198 + 2 * 0.422 + 3 * 0.308 + 4 * 0.071

= 2.345

This means that if we were to draw many 5-card hands from the deck, we would expect the average number of suits to be around 2.345.

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Answer:

17

Step-by-step explanation:

You would make the 10.01 a 10 and the 7.07 a 7.

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Given function is,f(t) ={ t, 0 < t < π π < t < 2π}

where f(t + 2 π) = f(t)

Let's take Laplace Transform of f(t)

                     L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)

∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}

     ⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0

when e^{2πs} ≠ 1 ⇒ s ≠ 0

∴ The Laplace Transform of f(t) is

                       L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                               = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...

                              = (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

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The probability that all of them get the same number is 1/36.

Given :

Three people are asked to throw a fair die.

Probability :

Probability is a branch of mathematics that deals with the occurrence of a random event.

In one dice probable outcomes 1, 2, 3, 4, 5 and 6

Total out comes in three dice = ( 6 * 6 * 6 = 216 )

Probability of getting 1 = 1/216

Similarly for 2, 3, 4, 5 and 6

Probability of getting same number = 6 * 1/6 * 1/6 * 1/6

= 6*1/6 * 1 * 1 / 6 * 6

= 6/6 * 1/36

= 1 * 1/36

= 1/36

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Answer:

Yes.

Step-by-step explanation:

Yes.

y = 4x - 9 is the equation of a line with slope 4and y-intercept -9.

All non-vertical lines are functions.

Since a line with slope 4 is not a vertical line, this relation is a function.

Answer: b=12x

Step-by-step explanation:

The bakery shipped out b boxes of bagels.

Each box contained 12 bagels

b is the number o boxes

x is the number of bagels in each box

Answer:

That’s ez pz

Step-by-step explanation:

Answer:

The slope is -3 and the y intercept is -44

Step-by-step explanation:

6X+ 2Y= -88

The slope intercept form of a line is y= mx+b where m is the slope and b is the y intercept

Solve for y

6X-6x+ 2Y= -88-6x

2y = -6x-88

Divide by 2

y = -3x -44

The slope is -3 and the y intercept is -44

Answer:

24

Step-by-step explanation:

substitute the given values for a and z into the expression

- 3az

= - 3(- 2)(4) = 6 × 4 = 24

If the BLS employer cost survey uses a sample to establish the average wage of receptionists and the distribution of receptionist wages is normally distributed with a mean of $10.38/hour and a standard deviation of $2.05, then the probability that the wages for a sample of 20 receptionists exceed $11/hour is 38.16%

To find the probability, follow these steps:

So, the probability is approximately 0.3816 or 38.16%.

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Answer:

b. none of these

Step-by-step explanation:

none of them have a 90⁰ angle

We use the quadratic formula to find the roots of the quadratic equation.

The quadratic equation is given below:

f(x) = a\(x^{2}\) + bx + c = 0 where a, b, c

The system of equations used to find roots of equation is y = 12\(x^{3}\)-5x and y=2\(x^{2}\)+x+6.The given equation will be,12\(x^{3}\)-5x=2\(x^{2}\) + x + 6.

Now we take the root of equation into two parts:

1. Left-hand side

2. Right-hand side

Equation no.1 : 12\(x^{3}\)-5x=0

Equation no.2: 2\(x^{2}\)+x+6=0

Now we contains system of equation 0 with y.

So, the equation will be:

12\(x^{3}\)-5x=y

2\(x^{2}\)+x+6=y

However,system of equations can be used to find the roots of the equation 12\(x^{3}\)-5x=2\(x^{2}\)+x+6 is:
y = 12\(x^{3}\)-5x and y = 2\(x^{2}\)+x+6

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Answer:

3

Step-by-step explanation:

As in the first set of numbers

4,5,2 are successes.

but in the next set of numbers

5 is right before a fail.

but then straight passes after that

The answer is D. None of the above, the long-term DPMO is 25137, which is equivalent to a Z-value of 3.46. The short-term Z-value is usually 1.5 to 2 times the long-term Z-value,

so it would be between 5.19 and 6.92. However, these values are not listed as answer choices. The Z-value is a measure of how many standard deviations a particular point is away from the mean. In the case of DPMO, the mean is 6686. So, a Z-value of 3.46 means that the long-term defect rate is 3.46 standard deviations away from the mean.

The short-term Z-value is usually 1.5 to 2 times the long-term Z-value. This is because the short-term process is more variable than the long-term process. So, the short-term Z-value would be between 5.19 and 6.92.

However, none of these values are listed as answer choices. Therefore, the correct answer is D. None of the above.

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A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.