Solve the equation for x.


x2 = 576
/\
||
is supposed to be 2 over x

Answer:

0

Step-by-step explanation:

It is a horizontal line, the slope is 0 and it crosses the y-axis at 8

The line is a horizontal line, which has a slope that is equal to zero (0).

Given the following equation:

To calculate or determine the slope of the given line:

The slope of a line can be defined as the gradient of a line.

In Mathematics, a slope is typically used to describe both the direction and steepness of an equation of a straight line.  

Generally, the standard form of an equation of line is given by the following formula;

[tex]y = mx+b[/tex]

Where:

Comparing the two equations, we can deduce that the slope of the given line is equal to zero (0).

This ultimately implies that, the line is a horizontal line, which would cross the y-axis of a graph at point 8.

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Google translation

2/3 of a basket of apples rot. We eat 4/5 of the rest and use the remaining 25 to make jam. How many apples were in the basket

Answer:

375

Step-by-step explanation:

Since the basket was full, ⅔ rot so the remaining for any use will be 1-⅔=⅓

Since we only eat 4/5 of this remaining quantity, we use the 1-4/5=1/5 of ⅓ for making jam

1/5 of ⅓=1/5*⅓=1/15

If 1/15 equals 25 pieces then the full basket had

25*15/1=375 pieces

Answer: 7.3333

Step-by-step explanation:

To subtract 143-79 by breaking apart, round 79 to 80, subtract it from 143 to get 63, and add 1 back for rounding to get the final answer of 64.

The question involves breaking apart numbers to subtract 143-79. This is a technique used in math to simplify subtraction by splitting numbers into parts that are easier to work with.

The final answer is 64.

Answer:

Type I error would be to conclude that the mean wind speed is too high and decide to shut down the ride but in actual the wind speed was moderate and it is safe to do riding.

Type II error would be to conclude that the mean wind speed is moderate and decide to go on riding but in actual the wind speed is too high and it unsafe to go on riding and should be shut down.

Step-by-step explanation:

We are given that the collected data is used to conduct a one-sample z -test of the null hypothesis that the mean wind speed is moderate against the alternative that the mean wind speed is too high.

If the null hypothesis is rejected in favor of the alternative, the ride is shut down due to unsafe conditions.

So, Null Hypothesis, [tex]H_0[/tex] : The mean wind speed is moderate.

Alternate Hypothesis, [tex]H_A[/tex] : The mean wind speed is too high.

Also, it is provided that if the null hypothesis is rejected in favor of the alternative, the ride is shut down due to unsafe conditions.

So, in the given context, Type I error would be to conclude that the mean wind speed is too high and decide to shut down the ride but in actual the wind speed was moderate and it is safe to do riding.

So, in the given context, Type II error would be to conclude that the mean wind speed is moderate and decide to go on riding but in actual the wind speed is too high and it unsafe to go on riding and should be shut down.

Step-by-step explanation:

1km = 9000 m

1 min = 60 sec

So 60 min = 3600 sec

In this way Matty jogs 9000m /3600sec

Matty's speed of 9 km/hr is equivalent to 2.5 m/s when converted using the relationship where 1 km equals 1000 meters and 1 hour equals 3600 seconds.

To compute Matty's speed in meters per second (m/s), we need to convert from kilometers per hour (km/h) to m/s. To do this, we can use the conversion rate where 1 km equals 1000 meters, and 1 hour equals 3600 seconds.

First, we convert Matty's speed to meters:
9 km/h = 9 × 1000 m/h = 9000 m/h.

Then, we convert hours to seconds:
9000 m/h × (1 h / 3600 s) = 9000 m / 3600 s = 2.5 m/s.

Therefore, Matty's speed in meters per second is 2.5 m/s.

Answer:

Answer = 11/46

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(g(x)) = f of g of x

f(x) · g(x)  = f at x times g at x, which is not the same thing.

Answer:

88

Step-by-step explanation:

this is my answer it will help you

Answer:

a, a, b,b

Step-by-step explanation:

Upper bound: 475+50= 525

lower bound: 475-50= 425

Cp= (Upper bound-lower bound)/ 6σ

Cp= (525-525)/ (6× 50)

Cp= 0.33

Cpk is minimum of two following values: (Upper bound-mean)/ 3σ, (mean -lower bound)/ 3σ

Cpk in this case is: Min (0.33,0.33)

The Cp and Cpk values are  calculated from the actual process values. Here target Cp and Cpk value is 0.33

Roster's Chicken can monitor their caloric content using an X-chart with control limits calculated at either three or four standard deviations from the mean. The analysis reveals that grilled chicken breast is more energy-dense than tortilla chips. After consuming 16 tortilla chips, significant portions of the daily values (DV) for fat, sodium, and fiber remain for other meals.

Control Limits for X-Chart

To design an X-chart for monitoring the caloric content of Roster's Chicken, we need to establish the upper and lower control limits based on the given parameters.

Part a) Control Limits with Four Standard Deviations

The average caloric content of the chicken breast is 420 calories with a standard deviation of 20 calories. For a sample size of 25, the standard error is:

Standard Error = σ / √n = 20 / √25 = 20 / 5 = 4

Therefore, the four standard deviation limits from the target mean of 420 calories are:

Upper Control Limit (UCL) = 420 + 4 * 4 = 420 + 16 = 436 calories

Lower Control Limit (LCL) = 420 - 4 * 4 = 420 - 16 = 404 calories

Part b) Control Limits with Three Standard Deviations

Using the same standard error, the three standard deviation limits are:

Upper Control Limit (UCL) = 420 + 3 * 4 = 420 + 12 = 432 calories

Energy Density Comparison

A serving of grilled chicken breast (4 oz) has about 190 calories. In comparison, 16 tortilla chips typically have around 140 calories. Chicken breast is more energy-dense because it has more calories per ounce compared to tortilla chips, which makes it a denser source of calories.

Percentage Daily Values (DV) in 16 Tortilla Chips

If 16 tortilla chips contribute 10% DV of fat, 8% DV of sodium, and 4% DV of dietary fiber, the remaining percentages for a healthy diet would be:

• Fat: 100% - 10% = 90% DV remaining

• Sodium: 100% - 8% = 92% DV remaining

• Fiber: 100% - 4% = 96% DV remaining

Complete Question:- Roster's Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite chicken breast production is in control, the average chicken breast contains 420 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Roster's wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart? These limits are chosen to be four standard deviations from the target. Upper Control Limit (UCL): 436 calories (enter your response as an integer) Lower Control Limit (LCL): 404 calories (enter your response as an integer) b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL): calories (enter your response as an integer)

Answer:

[tex] X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2[/tex]

And we can solve for [tex] B_x[/tex] and we got:

[tex] 1+B_x = 4[/tex]

[tex]B_x = 3[/tex]

[tex] Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5[/tex]

And we can solve for [tex] B_x[/tex] and we got:

[tex] 2+B_y = 10[/tex]

[tex]B_y = 8[/tex]

So then the coordinates for B are (3,8)

Step-by-step explanation:

For this case we know that the midpoint for the segment AB is (2,5)

And we know that the coordinates of A are (1,2)

We know that for a given segment the formulas in order to find the midpoint are given by:

[tex] X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2[/tex]

And we can solve for [tex] B_x[/tex] and we got:

[tex] 1+B_x = 4[/tex]

[tex]B_x = 3[/tex]

[tex] Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5[/tex]

And we can solve for [tex] B_x[/tex] and we got:

[tex] 2+B_y = 10[/tex]

[tex]B_y = 8[/tex]

So then the coordinates for B are (3,8)

The coordinates of point B are (4, 8).

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M(xm, ym) of a line segment with endpoints A(x1, y1) and B(x2, y2) are given by:

xm = (x1 + x2) / 2

ym = (y1 + y2) / 2

In this case, we are given that the midpoint M is (2, 5) and A is (1, 2). We can substitute these values into the formula:

2 = (1 + x2) / 2

5 = (2 + y2) / 2

Now, we can solve for x2 and y2:

x2 = 4

y2 = 8

Therefore, the coordinates of point B are (4, 8).

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Answer:

a)We are 95% confident that the average commuting time for route A is between 1.3577 and 4.6423 minutes shorter than the average committing time for rout B.  

(b) No, because the confidence internal does not contain —5, which corresponds with an average of 5 minutes shorter for route A.

Step-by-step explanation:

Given:  

n_1 = 20

x_1= 40

s_1 = 3

n_2 = 20

x_2= 43

s_2 = 2

d_f = 33.1

c = 95%. 0.95

(a) Determine the t-value by looking in the row starting with degrees of freedom df = 33.1 > 32 and in the column with c = 95% in the Student's t distribution table in the appendix:  

t[tex]\alpha[/tex]/2 = 2.037  

The margin of error is then:  

E = t[tex]\alpha[/tex]/2 *√s_1^2/n_1+s_2^2/n_2

E = 2.037  *√3^2/20+s_2^2/20

  = 1.64

The endpoints of the confidence interval for u_1 — u_2 are:  

(x_1 — x_2) — E = (40 — 43) — 1.6423 = —3 — 1.6423= —4.6423

(x_1 - x_2)  + E   = (40 — 43) + 1.6423 = —3 + 1.6423= —1.3577  

a)We are 95% confident that the average commuting time for route A is between 1.3577 and 4.6423 minutes shorter than the average committing time for rout B.  

(b) No, because the confidence internal does not contain —5, which corresponds with an average of 5 minutes shorter for route A.

Answer:

There are NO parallel sides.

Step-by-step explanation:

Look at them.

Answer: Bottom left, lamins have no parrellel sides

Step-by-step explanation: All of them have no parrellel sides. Hope this helps!

Answer:

Margin of error = Critical value x Standard error of the sample.

Step-by-step explanation:

The margin of error can be calculated in two ways, depending on whether you have parameters from a population or statistics from a sample: Margin of error = Critical value x Standard deviation for the population. Margin of error = Critical value x Standard error of the sample.

Its C. ME= (z*s)/ sqrt n

My guess is that it is 2/12 chance to get it, or 16.6

Answer:

1/36

Step-by-step explanation:

Multiply the two independent probabilities to find the compound probability.

P(3 and 5) =

1

6

×

1

6

=

1

36

Answer:

area = 1500× 750 = [tex]1125000 m^2[/tex]

Step-by-step explanation:

we know area of rectangle  

for length = l m

and width = b m

[tex]A = lb[/tex]  

and perimeter

[tex]Perimeter = 2 (length + width)[/tex]

but one side  length measures is not  required  because of the  river so

He does not use the fence along the side of the river

so we use this formula

Perimeter =  P = L + 2 b

Perimeter is 3000 m

[tex]so \ \ 3000 = l +2b[/tex]

[tex]l = 3000 - 2b[/tex]

 so area will be

[tex]A = (3000-2b)b[/tex]

 it  is a quadratic function whose max or min  will

occur at the average of the Solutions.  

 on Solving (3000 - 2b)b = 0  

  3000 - 2b = 0   or b=0

2b =3000

[tex]b =\frac{3000}{2} \\b = 1500 m[/tex]

or [tex]b = 0 m[/tex]

The average of the values are [tex]\frac{(0+1500)}{2} = 750[/tex]

so  for max area  we use b= [tex]750 m[/tex]

The Length is then L=3000 - 2(750) =  3000 - 1500 = 1500

 for max area

length = 1500 m

bredth = 750 m

area = 1500× 750 = [tex]1125000 m^2[/tex]

The largest area that can be enclosed by Farmer Ed with 3000 meters of fencing along a river (with only three sides fenced) equals 1,125,000 square meters by using principles of mathematical optimization.

In this question, Farmer Ed wants to maximize the area of a rectangle with only three sides fenced, since one side borders on a river. We can use the principles of optimization in mathematics to solve this problem.

With 3000 meters of fencing for three sides, if we denote one side perpendicular to the river as X and the side parallel to the river (which forms the base of the rectangle) as Y, then, the perimeter would be Y+2X which is equal to 3000 meters. So, Y = 3000-2X.

The area A of a rectangle is length times width, or, in this case, A = XY. Substituting Y from the equation above: A = X(3000-2X) = 3000X - 2X^2. To maximize this area, we need to find values of X for which this equation has its maximum value.

The maximum or minimum of a function can be found at points where its derivative is zero. So, we take the derivative of A with respect to X, set it equal to zero, and solve for X.

The derivative, dA/dX is 3000 - 4X. Setting this equal to 0 gives X = 3000/4 = 750. So, the maximum area that Farmer Ed can enclose is when X is 750, and Y is 3000 - 2X = 1500, so the maximum area is 750 * 1500 = 1,125,000 square meters.

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Answer:

About 296 households have more than three children.

Step-by-step explanation:

The complete question is:

Carmen used a random number generator to simulate a survey of how many children live in the households in her town. There are 1,346 unique addresses in her town with numbers ranging from zero to five children. The results of 50 randomly generated households are shown below. Children in 50 Households Number of Children Number of Households 0 5 1 11 2 13 3 10 4 9 5 2 Using a proportion, what can you infer about the number of households in her town that have more than three children? About 242 households have more than three children. About 269 households have more than three children. About 296 households have more than three children. About 565 households have more than three children.

Solution:

The data provided for the number of children and number of households is:

Number of Children (X)          Number of Households (f (X))

               0                                                   5

               1                                                    11

               2                                                   13

               3                                                   10

               4                                                    9

               5                                                    2

           TOTAL                                             50

Compute the probability of households having more than three children as follows:

P (More than 3 children) = P (4 children) + P (5 children)

                                        [tex]=\frac{9}{50}+\frac{2}{50}[/tex]

                                        [tex]=\frac{11}{50}[/tex]

                                        [tex]=0.22[/tex]

Let the random variable Y be defined as the number of households having more than three children.

The probability of the random variable Y is, p = 0.22.

The entire population, i.e. total number of addresses in Carmen's town with numbers ranging from zero to five children, consists of N = 1,346 households.

Compute the expected number of households having more than three children as follows:

[tex]E(Y) =N\times p[/tex]

         [tex]=1346\times 0.22\\=296.12\\\approx 296[/tex]

Thus, about 296 households have more than three children.

Answer:

  B = (7, 4)

Step-by-step explanation:

  B = 2M -A = 2(2.5, -1.5) -(-2, -7)

  B = (5+2, -3+7)

  B = (7, 4)

__

Derivation

You know the midpoint is calculated from ...

  M = (A+B)/2

Solving for B, we get ...

  2M = A+B

  B = 2M-A . . . . the formula we used above

Answer:

Give more points

Step-by-step explanation:

Answer:

The probability of a Type II error is 0.3446.

Step-by-step explanation:

A type II error is a statistical word used within the circumstance of hypothesis testing that defines the error that take place when one is unsuccessful to discard a null hypothesis that is truly false. It is symbolized by β i.e.  

β = Probability of accepting H₀ when H₀ is false

  = P (Accept H₀ | H₀ is false)

In this case we need to test the hypothesis whether the voter turnout during the most recent elections in Texas was higher than 54%.

The hypothesis can be defined as:

H₀: The voter turnout during the most recent elections in Texas was 54%, i.e. p = 0.54.

Hₐ: The voter turnout during the most recent elections in Texas was higher than 54%, i.e. p > 0.54.

A type II error would be committed if we conclude that the voter turnout during the most recent elections in Texas was 54%, when in fact it was higher.

The information provided is:

X = 54

n = 90

α = 0.02

true proportion = p = 0.67

Compute the mean and standard deviation as follows:

[tex]\mu=p=0.54[/tex]

[tex]\sigma=\sqrt{\frac{0.54(1-0.54)}{90}}=0.053[/tex]

Acceptance region  = P (Z < z₀.₀₂)

The value z₀.₀₂ is 0.6478.

Compute the sample proportion as follows:

[tex]z=\frac{\hat p-\mu}{\sigma}\\2.054=\frac{\hat p-0.54}{0.053}\\\hat p=0.6489[/tex]

Compute the value of β as follows:

β = P (p < 0.54 | p = 0.67)

  [tex]=P(\frac{\hat p-\mu}{\sigma}<\frac{0.6489-0.67}{0.053})\\=P(Z<-0.40)\\=0.34458\\\approx 0.3446[/tex]

Thus, the probability of a Type II error is 0.3446.

Answer:

48

Step-by-step explanation:

If only 4/5 of the 80 seats were filled, then 4/5*80=64 of the seats were filled. Of those filled, if 3/4 were travelling for business, then 3/4*64=48 of the people were travelling for business. Hope this helps!

Answer:

Expected no of stops=N(1-exp(-10/N)

Step-by-step explanation:

Using equation

X=∑[tex]I_{m}[/tex]

where m lies from 1 to N

solve equation below

E(X)=N(1-exp(-10/N)

Given Information:

Distribution = Poisson

Mean = 10

Required Information:

Expected number of stops = ?

Answer:

[tex]E(N) = N(1 - e^{-0.1N} )[/tex]

Explanation:

The number of people entering on the elevator is a Poisson random variable.

There are N floors and we want to find out the expected number of stops that the elevator will make before discharging all of its passengers.

Mean = μ = 10

The expected number of stops is given by

[tex]E(N) = N(1 - e^{-mN} )[/tex]

Where m is the decay rate and is given by

Decay rate = m = 1 /μ = 1/10 = 0.10

Therefore, the expected number of stops is

[tex]E(N) = N(1 - e^{-0.1N} )[/tex]

If we know the number of floor (N) then we can the corresponding expected value.

Answer:

0.67% probability he will have to shut down after this month

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given time interval.

On average sells 8.9 machines per month.

So [tex]\mu = 8.9[/tex]

Using the Poisson distribution, what is the probability he will have to shut down after this month

If he sells less than 3 machines.

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-8.9}*8.9^{0}}{(0)!} = 0.0001[/tex]

[tex]P(X = 1) = \frac{e^{-8.9}*8.9^{1}}{(1)!} = 0.0012[/tex]

[tex]P(X = 2) = \frac{e^{-8.9}*8.9^{2}}{(2)!} = 0.0054[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0001 + 0.0012 + 0.0054 = 0.0067[/tex]

0.67% probability he will have to shut down after this month

Answer:

The height is 5 and the base is 9

Step-by-step explanation:

The area of a parallelogram is given by

A = bh

45 =x(x+4)

Distribute

45 =x^2+4x

Subtract 45 from each side

45-45 =x^2 +4x-45

0 = x^2 +4x-45

Factor

What two numbers multiply to -45 and add to 4

9+-5 = -45

9-5 =4

0=(x+9) (x-5)

Using the zero product property

0= x+9     0 = x-5

x=-9           x=5

Since length cannot be negative

x=5 is the solution

x=5

x+4 = 5+4 =9

Answer:

f(x).g(x)   =  c0+c1x+c2x2+c3x3+⋯.

[tex]f(x).g(x) = 42 +97x +95x^{2} + 104x^{3} +77x^{4} +27x^{5} + 20x^{6}+....[/tex]

c₀ = 42 , c₁ =97 , c₂ = 95, c₃ =104, ...…...

Step-by-step explanation:

Suppose that f(x) and g(x) are given by the power series

f(x)=6+7x+3x2+5x3+⋯ and

g(x)=7+8x+3x2+4x3+⋯

By multiplying power series ,

f(x).g(x) = (6+7x+3x2+5x3+⋯).(7+8x+3x2+4x3+⋯)

           = 6(7+8x+3x2+4x3+⋯)+7x(7+8x+3x2+4x3+⋯)+3x2(7+8x+3x2+4x3+⋯) + 5x3(7+8x+3x2+4x3+⋯)+......

[tex]f(x).g(x) = 42 +97x +95x^{2} + 104x^{3} +77x^{4} +27x^{5} + 20x^{6}+....[/tex]

f(x).g(x)   =  c0+c1x+c2x2+c3x3+⋯.is the form

[tex]f(x).g(x) = 42 +97x +95x^{2} + 104x^{3} +77x^{4} +27x^{5} + 20x^{6}+....[/tex]

c₀ = 42 , c₁ =97 , c₂ = 95, c₃ =104, ...……

In this problem, power series f(x) and g(x) are multiplied together term by term to produce the product h(x). The first few terms of the h(x) series are found by sequentially multiplying the corresponding terms of f(x) and g(x). The procedures produced the first four terms as 42, 98, 170, and 356 respectively.

In the field of mathematics, specifically calculus, you can multiply two power series together term by term. In this case, function f(x) = 6 + 7x + 3x2 + 5x3 + ⋯ and g(x) = 7 + 8x + 3x2 + 4x3 + ⋯ are provided. When you multiply these two power series, the product h(x) = f(x) ⋅ g(x) is obtained by multiplying each corresponding term in the series of f(x) and g(x) together.

To find the first few terms we consider it like

and so on for the subsequent terms.

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Answer:

Mrs. Potts needs 72 feet of fencing.

Step-by-step explanation:

You find the perimeter of the rectangular garden, which is 24 yards. You then convert the yards to feet. There are 3 feet in a yard. You multiply 24 by 3 to get your final answer of 72 feet.

Answer:

  no

Step-by-step explanation:

The angle in the polar form of a complex number can have any multiple of 2π radians added to it, and the number will be the same number. That is, there are an infinite number of representations of a complex number in polar form.

Final answer:

The polar form of a complex number is not unique due to the angle component, which can vary by multiples of full rotations (2π). However, when considering the principal value of the angle, the polar form becomes unique.

Explanation:

The polar form of a complex number is not entirely unique, the reason being that the angle (θ) in the polar form can be expressed as θ + 2πk, where k is any integer.

This is because complex numbers are represented in the complex plane, which is similar to a circle, where angles that differ by full rotations (2π radians) represent the same point.

However, the magnitude (or modulus) and the principal value of the angle (typically between -π and π) combine to give a unique representation of a complex number in polar form.

Yes, it is possible for a 7 x 7 matrix to not be diagonalizable even if it has three eigenvalues.

Yes, it is possible for a 7 x 7 matrix to not be diagonalizable even if it has three eigenvalues. A matrix is diagonalizable if and only if it has n linearly independent eigenvectors, where n is the size of the matrix. In this case, since we have one eigenspace two-dimensional and one eigenspace three-dimensional, we have a total of 5 linearly independent eigenvectors. Since 5 is less than 7, the matrix is not diagonalizable.

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Yes, it is possible that matrix A is not diagonalizable. For a square matrix to be diagonalizable, it must have a complete set of eigenvectors.

Yes, it is possible that matrix A is not diagonalizable. For a square matrix to be diagonalizable, it must have a complete set of eigenvectors. In this case, we have a 7 x 7 matrix with three eigenvalues, but only two eigenspaces are given (a two-dimensional eigenspace and a three-dimensional eigenspace). Since we don't have eigenvectors for all the eigenvalues, matrix A is not guaranteed to be diagonalizable.

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Answer:

If your asking what 4.7kg is to grams then it is 4700g

Answer:

4700 g

Step-by-step explanation:

1 kg = 1000g

Using this rule, 4.7 kg would be 4700g

4.7 x 1000 = 4700