Suppose you need 3. 2 moles of CaO for a reaction. How many grams of CaO must


you weigh out?



220. 07 grams of Cao



179. 45 grams of Cao



0 0. 057 grams of Cao



17. 52 grams of Cao

For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.

Probability is a measure of the likelihood that an event will occur.

The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.

Let, X be the random variable denoting the number of shoppers on a random day.

Then, X follows normal with mean 505 and standard deviation of 115.

Then, we can say that,

Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.

We have to find

P (250 <X< 450)

= P {(250-505)/155} < Z < {(450-505)/155}

= P (-1.64 <Z< -0.03)

Where, Z is the standard normal variate.

ρ = -1.64 <ρ< -0.03

Where, ρ is the distribution function of the standard normal variate.

From the standard normal table, this becomes

=0.00585

For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.

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The domain and the range of the transformed graph are given as follows:

The definitions of the domain and of the range of a function are given as follows:

After the reflection over the y-axis, the domain of the function is of:

[-2,5].

(as the reflection over the y-axis changes the signal of the x-values of the function).

After the translation of 3 units right, the domain of the function is of:

[1,8].

As the translation adds 3 to each value of x of the function.

After the vertical stretch by a factor of 2, the range of the function is of:

[-6,12].

As the stretch means that all the output values of the function are multiplied by 2.

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area is 36...............

The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

Answer: 40

Step-by-step explanation:

x-16=24

24+16=40

=40-16=24

hope this helps☺️

To convert 4.42 kg into pounds, the starting place in the conversion process is to understand the conversion factor between kilograms and pounds.

The conversion factor between kilograms (kg) and pounds (lbs) is 1 kg = 2.20462 lbs. This means that 1 kilogram is equal to approximately 2.20462 pounds. To convert a given weight in kilograms to pounds, you need to multiply the weight in kilograms by the conversion factor.

In this case, you want to convert 4.42 kg into pounds. The starting place in the conversion process is to use the conversion factor:

4.42 kg * 2.20462 lbs/kg = 9.7314044 lbs

By multiplying the given weight in kilograms (4.42 kg) by the conversion factor (2.20462 lbs/kg), you find that 4.42 kg is approximately equal to 9.7314044 pounds. Therefore, when converting kilograms to pounds, the first step is to apply the appropriate conversion factor by multiplying the weight in kilograms by the conversion factor.

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Answer:

The answer is in the provided screenshot!!!

I hope this helps! Please let me know if you have any questions!!!

The system is inconsistent.

The two lines are parallel and never intersect.

====================================================

Work Shown:

Solving the 1st equation for y.

3x-y=18

-y=18-3x

y = -(18-3x)

y = -18+3x

y = 3x-18

Plugging that into the other equation to solve for x.

-2y=-6x-120

-2(y)=-6x-120

-2(3x-18)=-6x-120

-6x+36=-6x-120

-6x+6x=-120-36

0x = -156

0 = -156

We arrive at a false statement.

Therefore, this system has no solutions

The system is inconsistent.

If you were to use a graphing tool like Desmos or GeoGebra, then you'll see the two lines are parallel. They never intersect to form a solution.

Answer:

40

Step-by-step explanation:

the mean is 40 because you add all the numbers then divide them by however many numbers there are.

Answer:

7,000 Milliliters

Step-by-step explanation:

Answer:

7,000 millimeters

Step-by-step explanation:

1,000 millimeters is equal to 1 liter.

We know that function f(x) is given by

where the slope is the coefficient of the variable x, that is, the slope,m, is

Since g(x) is given by

we have that

where the slope is equal to 6, in other words

Therefore, the slope of the graph of g(x) is 6 times the slope of the graph of f(x).

Since the y-intercept of f(x) is zero, then the y-intercept of g(x) is zero too. Then, the answer is: the y-intercept does not change.

Answer:

(x + 1)² = 1 - 4a

Step-by-step explanation:

\(\frac{x+a}{x}\) + \(\frac{x-2}{4}\) = 0

multiply through by 4x ( the LCM of x and 4 ) to clear the fractions

4(x + a) + x(x - 2) = 0

4x + 4a + x² - 2x = 0

x² + 2x + 4a = 0 ( subtract 4a from both sides )

x² + 2x = - 4a

using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(1)x + 1 = - 4a + 1

(x + 1)² = 1 - 4a

with p = 1 and q = 1 - 4a

If you have 174 assignments and complete 4 assignments per week, it would take you 43 weeks to finish your work. That is roughly 294 days, given that there are approximately 7 days in a week.

If this is the actual amount of work you need to complete, I applaud you mate. Good luck.

You'll need to know the overall number of participants as well as the number of people in each category in order to determine the percentage for each category.

Once you have this data, you can use the following formulas:

A. Percentage of participants in sixth grade = (Number of participants in sixth grade / Total number of participants) x 100

B. Percentage of participants who prefer country music = (Number of participants who prefer country music / Total number of participants) x 100

C. Percentage of participants in eighth grade who prefer rock music = (Number of participants in eighth grade who prefer rock music / Total number of participants) x 100

D. Percentage of participants in sixth grade who prefer pop music = (Number of participants in sixth grade who prefer pop music / Total number of participants) x 100

Therefore, You'll need to know the overall number of participants as well as the number of people in each category in order to determine the percentage for each category.

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The answer of the given question based on the relative frequency is , (a) 28% , (b) 31% , (c)  44% , (d)  46% .

Relative frequency refers to the proportion or percentage of times a particular event or category occurs in relation to the total number of events or observations. It is calculated by dividing the frequency of a particular event or category by the total number of events or observations and multiplying by 100 to get a percentage.

A. Percentage of participants who are in sixth grade:

Total number of participants = 210

Number of participants in sixth grade = 60

Therefore, the percentage of participants who are in sixth grade is:

60/210 * 100% = 28.57% (rounded to the nearest percent)

Answer: 28%

B. Percentage of participants who prefer country music:

Total number of participants = 210

Number of participants who prefer country music = 65

Therefore, the percentage of participants who prefer country music is:

65/210 * 100% = 30.95% (rounded to the nearest percent)

Answer: 31%

C. Percentage of participants who are in eighth grade and prefer rock music:

Number of participants in eighth grade who prefer rock music = 35

Total number of participants who prefer rock music = 80

Therefore, the percentage of participants who are in eighth grade and prefer rock music is:

35/80 * 100% = 43.75% (rounded to the nearest percent)

Answer: 44%

D. Percentage of participants who are in sixth grade and prefer pop music:

Number of participants in sixth grade who prefer pop music = 30

Total number of participants who prefer pop music = 65

Therefore, the percentage of participants who are in sixth grade and prefer pop music is:

30/65 * 100% = 46.15% (rounded to the nearest percent)

Answer: 46%

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JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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A researcher records the following scores for attention during a video game task for two samples. Sample B has the largest standard deviation.

To determine which sample has the largest standard deviation, we need to calculate the standard deviation for both Sample A and Sample B.

Step 1: Calculate the mean (average) of each sample
Sample A: (10+12+14+16+18)/5 = 70/5 = 14
Sample B: (20+24+28+32+36)/5 = 140/5 = 28

Step 2: Calculate the squared differences from the mean in score
Sample A: (4²+2²+0²+2²+4²) = (16+4+0+4+16)
Sample B: (8²+4²+0²+4²+8²) = (64+16+0+16+64)

Step 3: Calculate the average of the squared differences
Sample A: (16+4+0+4+16)/5 = 40/5 = 8
Sample B: (64+16+0+16+64)/5 = 160/5 = 32

Step 4: Take the square root of the average squared differences to find the standard deviation
Sample A: √8 ≈ 2.83
Sample B: √32 ≈ 5.66

Based on the calculated standard deviations, Sample B has the largest standard deviation. So, the answer is Sample B.

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Answer:

7000

Step-by-step explanation:

The second number is smaller than 5 so we keep the previous number(7) the same.

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Answer:

+19

Step-by-step explanation:

8-(-11)= 8+11

8-(-11)=+19

Answer:

19

Step-by-step explanation:

8 - ( -11) =

8 + 11 =

19

The two negatives combine to make a positive.

Answer:

The awnser is D its decreasing

20, it's a cube

.............................

The value of div(curl F) at the point (1,1,1) is 150.

Given,

 F=⟨sin 3(x),cos(x 2+y 2+z 2),e −xyz⟩

Find div(curl F) at the point (1,1,1).For curl F,

We know that curl F= (d/dy)fe1 + (d/dz)fe2 + (d/dx)fe3

where, e1,e2,e3 are unit vectors and we have, fe1,fe2 and fe3 respectively.

F =⟨sin 3(x),cos(x 2+y 2+z 2),e −xyz⟩

Now,  f1 = sin 3x f2 = cos(x2+y2+z2) f3 = e−xyz

Now, we need to calculate curl F,

then we get the following expression for curl F. curl F = (∂f3/∂y - ∂f2/∂z)e1 + (∂f1/∂z - ∂f3/∂x)e2 + (∂f2/∂x - ∂f1/∂y)e3=(ze^{−xyz} , −3cos(x^2+y^2+z^2) , yzcos(x^2+y^2+z^2))

at point (1,1,1).Now we need to find div(curl F).

Then, div(curl F) = ∂M/∂x + ∂N/∂y + ∂P/∂z

Where, curl F =⟨M,N,P⟩

Now, substituting the values of M,N, and P, we get;

div(curl F) = ∂(ze^{−xyz})/∂x + ∂(−3cos(x^2+y^2+z^2))/∂y + ∂(yzcos(x^2+y^2+z^2))/∂z= 0 + 6y*sin(x^2+y^2+z^2) + xy*sin(x^2+y^2+z^2)e^2 at the point (1,1,1).

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Answer:

Yes, if you round up the decimals.

Step-by-step explanation:

Answer:

you cant tell

Step-by-step explanation:

it depends how many if each button

in there is

Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

P(A|B) = P(B|A) * P(A) / P(B)

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

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Answer:

a) Revenue function = 1.299r + 1.379p

where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline

b) cost function = 1.219f + 1.289p

c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p

d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600

Answer:

50 pounds of beans costs $40

Translation of negative 6 units x, 1 units y composition reflection across the x-axis

The composition transformation that maps ABCD to A''B''C''D'' comprises

of two or more transformations that maps the image

The rule that describes the composition transformation that maps ABCD to

A''B''C''D'' is the option;

Translation of negative 6 units x, 1 units y composition reflection across the x-axis.

The given coordinates of parallelogram ABCD are (3, 5), (6, 5), (4, 1), (1, 1)

The coordinates of the parallelogram A'B'C'D' are; A'(3, -5), B'(6, -5), C'(4, -1), D(1, -1)

The coordinates of the parallelogram A''B''C''D'' are;

D(-5, 0), C''(-2, 0), A''(-3, -4), B''(0, -4)

The image of the point (x, y), following a reflection about the x-axis is the point (x, -y)

The difference in the coordinates of the parallelogram ABCD and A'B'C'D'

is the change in the sign of the y-coordinates

Therefore, the transformation that gives the parallelogram A'B'C'D' from

the parallelogram ABCD is a reflection about the x-axis

The difference between the coordinates of the vertices of the

parallelogram A'B'C'D' and the parallelogram A''B''C''D'', is a change in the

x-value by (-6), and a change in the y-value by (+1)

Therefore, the parallelogram A''B''C''D'' can be obtained from parallelogram

A'B'C'D', by a translation of -6 units (left) in the x-direction and a translation

of 1 unit, x in the y-direction

Which gives;

The composition transformation that maps the pre-image ABCD to the

final image A''B''C''D'', (given that in a composition transformation, the

transformation to the right is done first) are;

\($\mathrm{T}_{-6,1} \cdot \mathrm{r}_{\mathrm{x}-\{axis}}(\mathrm{x}, \mathbf{y})$\)which is the option;

Translation of negative 6 units x, 1 units y composition reflection across the x-axis

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The total number of protons and neutrons in an atom exists directed as the mass number. The atomic mass number of an atom with 10p and 10 n exists 20.

The total number of protons and neutrons in an atom's nucleus is known as the mass number. Protons plus neutrons equal mass number.

The neon atom has 10 protons and 10 neutrons with the atomic number 10. It has 10 protons and neutrons inside of its nucleus, along with ten electrons outside, due to its atomic weight of 20.179.

Ne is an inert, colorless noble gas that is also the second-lightest of the noble gases. Due to its distinctive reddish glow, it is frequently utilized in lamps and signs.

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