How many 6-digit numbers can be formed using all the digits 1, 1, 1, 2, 3, and 3?

Hi!

I can help you, no worries!

Your answer is y = -4/5x - 3

To solve this is much easier than you think. To "solve for y" we just have to get y on one side of the equal sign all by itself. We can see that it's "1 + y" on the left instead of just the y.

To get y by itself, we just subtract "1" from both sides.

1 + y = -4/5x - 2

-1                     -1

     y = -4/5x - 3

If you don't know why we have to subtract from both sides, think of it like this (it's how I like to think of it).

Each side of the equal sign is a twin. They are equal to eachother. If you change something about one twin, such as changing their hair color (or adding a number to one side of the equal sign), you have to do it to both in order for them to be the same. Right?

Hope this helps! Have a great day! :D

Answer:

Step-by-step explanation:

3x

When a vertical beam of light passes through a transparent medium, the rate at which its intensity decreases is proportional to its current intensity. In other words, the decrease in intensity, dI, concerning the thickness of the medium, dt, can be represented as dI/dt = KI, where K is the constant of proportionality.

To find the constant of proportionality, K, we can use the given information. In clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity, I_0, of the incident beam. This can be expressed as:

I(3) = 0.25I_0

Now, let's solve for K. To do this, we'll use the derivative form of the equation dI/dt = KI.

Taking the derivative of I concerning t, we get:

dI/dt = KI

To solve this differential equation, we can separate the variables and integrate both sides.

∫(1/I) dI = ∫K dt

This simplifies to:

ln(I) = Kt + C

Where C is the constant of integration. Now, let's solve for C using the initial condition I(3) = 0.25I_0.

ln(I(3)) = K(3) + C

Since I(3) = 0.25I_0, we can substitute it into the equation:

ln(0.25I_0) = 3K + C

Now, let's solve for C by rearranging the equation:

C = ln(0.25I_0) - 3K

We now have the equation in the form:

ln(I) = Kt + ln(0.25I_0) - 3K

Next, let's find the value of ln(I) when t = 16 feet. Substituting t = 16 into the equation:

ln(I) = K(16) + ln(0.25I_0) - 3K

Now, let's simplify this equation by combining like terms:

ln(I) = 16K - 3K + ln(0.25I_0)

Simplifying further:

ln(I) = 13K + ln(0.25I_0)

Therefore, the intensity of the beam 16 feet below the surface is represented by ln(I) = 13K + ln(0.25I_0). Remember to round any constants or coefficients to five decimal places.

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The number of students that are in both the Categories A and B are 16 students.

In the question ,

it is given that ,

the total number of students in category A and category B is 32 students .

which is represented as A union B ,

that is n(AUB) = 32 ,

the number of students in category A = n(A) = 24

the number of students in category B = n(B) = 24

we need to find the number of students that are in both category ,

that is n(A∩B) .

we know that ,

n(AUB) = n(A) + n(B) - n(A∩B)

Substituting the values , we get

n(A∩B) = 24 + 24 - 32

= 48 - 32

= 16

Therefore , The number of students that are in both the Categories are 16 students.

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Answer:

11. B.

12. C.

13. A.

14. D.

Step-by-step explanation:

for 11: we know that angles D and J are congruent from the tick marks, we also know that ∠FKD and ∠LKJ are congruent (vertical angles are congruent) therefore we need the sides between them

for 12: we know that ∠STU and ∠TUG are congruent, we also know that line TU is congruent to TU (reflexive property), therefore we need the angles adjacent to the first angles listed.

for 13: we know that ∠PQR and ∠CQR are congruent, we also know that lines RQ and RQ are congruent (reflexive property), therefore we need the other angles to which line RQ is between.

for 14: we know ∠B is congruent to ∠T and line AB is congruent to line ZY. therefore the angle cannot be connected to lines AB and ZY.

1) The equation of line is; y = (1/3)x + 1

2) The x - intercept is -3 and the y-intercept is 2

3) Area of CAT is; 6 sq.units

4) Perimeter is; 14.325 units

1) The coordinates of the line AC on the graph are;

A(-3, 0) and C(3, 2)

Thus, equation of line is gotten from the formula;

(y₂ - y₁)/(x₂ - x₁) = (y - y₁)/(x - x₁)

(2 - 0)/(3 + 3) = (y - 0)/(x + 3)

2/6 = y/(x + 3)

3y = x + 3

y = (1/3)x + 1

2) The x - intercept is -3 and the y-intercept is 2

3) Area of CAT is;

Area = 1/2 * base * height

Area = 1/2 * 6 * 2

Area = 6 sq.units

4) Perimeter of ACT is gotten by;

AT + CT + AC

AC = √((2 - 0)² + (3 + 3)²)

AC = √40

Thus;

Perimeter = 2 + 6 + √40

Perimeter = 14.325

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The more consistent the results given by repeated measurements, the higher the precision of the measurement procedure.

Precision refers to the degree of agreement or reproducibility among multiple measurements of the same quantity. When repeated measurements yield similar results with little variation, it indicates a high precision. This suggests that the measurement procedure has a low level of random error or uncertainty.

Precise measurements are valuable because they provide reliable and consistent information about the quantity being measured, allowing for more accurate comparisons, analyses, and conclusions. Precision is an important characteristic of any measurement procedure to ensure the reliability and validity of the obtained data.

Therefore, the more consistent the results given by repeated measurements, the higher the precision of the measurement procedure.

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The estimate that most likely comes from a small sample at a 95% confidence level is 48% (plusminus21%).When taking a random sample of data from a population, there is always some degree of sampling error.

Confidence intervals are used to quantify the range of values within which the actual population parameter is expected to lie with a certain degree of confidence. These intervals have a margin of error that represents the degree of uncertainty about the population parameter's true value. The width of a confidence interval is determined by the sample size and the level of confidence required. The level of confidence expresses the likelihood of the population parameter's true value being within the interval.

A smaller sample size leads to a wider margin of error, which means that the confidence interval will be wider and less precise. A larger sample size, on the other hand, results in a narrower confidence interval and a more accurate estimate. For a small sample size, the confidence interval for the percentage of the population with a certain characteristic is larger. A larger interval implies a greater degree of uncertainty in the estimate.48% (plusminus21%) is the estimate that is most likely to have come from a small sample. Because the margin of error is large, it implies that the sample size was tiny.

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Answer:

9.1

Step-by-step explanation:

Answer: 1- subtract 25 from 62, that’s your x

2- add 19 to 46, that’s your y

3- subtract 56 from 74, that’s your b

Step-by-step explanation:

PART A:

In the expression -7 - (-9), we can combine both negative signals and create a positive signal, so the expression will be -7 + 9.

That means in the number line we start at the number -7 and go 9 units to the right.

So Karissa is not correct, because she said a different starting point and a different direction to add the 9 units.

PART B:

Let's solve the equation:

We can see that the equation is not true, since the final statement is false. So Hugo is not correct, because the final values of each side of the equation didn't match.

Answer:

48? because you take 76 times 3 showing how many cars there are which is 228 then subtract 276 from 228 and boom there's your answer

Answer:

Toney buys the coat for $ 14.8.

Step-by-step explanation:

Cost of coat =$ 22

Mark up by 75 %

discount = 10 %

Let toney pay $ R for the coat.

So, according to the question

R + 75 % R = 1.75 R

Now the cost is

1.75 R - 15 % of 1.75 R = 22

1.75 R - 0.2625 R = 22

R = 14.8

So, he buy the coat for $ 14.8.  

Answer:

B, C

Step-by-step explanation:

A would round up to 5

B would round up to 4.9

C would round down to 4.9

D would round down to 5

E would round up to 5

Out of all these only B and C round to 4.9

Answer:

B and C

Step-by-step explanation:

A 4.95  --- this would round to 5.00.

B 4.87 - - - this would round to 4.9

C 4.93 - - - this would round to 4.9

D 5.04 - - - - this would round to 5.0

E 4.97 - - - this would round to 5.0

If Horace's score of 254 points has a z-score of 3 and the standard deviation is 21 points, then his mean points per game can be calculated as 191.

The z-score measures the number of standard deviations a data point is from the mean. In this case, Horace's score of 254 points has a z-score of 3. The formula to calculate the z-score is:

z = (x - μ) / σ

where z is the z-score, x is the observed value, μ is the mean, and σ is the standard deviation.

We are given that the z-score is 3 and the standard deviation (σ) is 21. Plugging these values into the formula, we can solve for the mean (μ):

3 = (254 - μ) / 21

Solving for μ:

63 = 254 - μ

μ = 254 - 63

μ = 191

Therefore, Horace's mean points per game is 191, without including the units in the answer.

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To maximize the amount of peaches produced by the orchard, the peach orchard owner should plant a certain number of trees per acre. The per-tree yield is given by the equation Y = 1200 - 15x, where Y represents the yield per tree and x represents the number of trees planted per acre.

To find the number of trees per acre that maximizes the crop yield, we need to determine the value of x that corresponds to the vertex of the equation. The vertex of a downward-opening parabola, represented by the given equation, occurs at the x-coordinate given by x = -b / (2a).

In this case, the coefficient of x is -15 and the constant term is 0, so b = 0 and a = -15. Substituting these values into the formula, we get x = -0 / (2 * -15) = 0.

While the mathematical calculation suggests that planting zero trees per acre would maximize the yield, this result is not practical. Therefore, the closest feasible value greater than zero would be 1 tree per acre.

For 1 tree per acre, substituting x = 1 into the equation, we find that each tree would produce a yield of Y = 1200 - 15 * 1 = 1185 peaches. Consequently, the resulting total yield would be 1185 peaches per acre.

Number of trees per acre: 1 tree per acre

Total yield: 1185 peaches per acre

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Answer:

71/100

Step-by-step explanation:

Answer:

Diameter = 14 feet

Step-by-step explanation:

Refer to image

Answer:

c

Step-by-step explanation:

Answer:

C. 84

Step-by-step explanation:

12+15+11+20+5=63

12/63= 0.1904...

.1904 x 441= 83.96

Answer

Just remember to divide the diameter by two to get the radius.

Step-by-step explanation:

If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet. You can also use the circumference and radius equation

(a) F1(a, b, c) = m0 ⋅ m1 can be minimized to F1(a, b, c) = a' in SOP standard form, reducing it to a single literal. (b) F2(a, b, c) = M5 + M1 can be minimized to F2(a, b, c) = b' + c' in SOP standard form, eliminating redundant variables. (c) F3(a, b, c) = M5 ⋅ m1 can be minimized to F3(a, b, c) = b' + c' in SOP standard form, by removing the common variable 'a'.

(a) To minimize the function F1(a, b, c) = m0 ⋅ m1, we need to find the minimum number of literals in the sum-of-products (SOP) standard form.

First, let's write the minterms explicitly:

m0 = a'bc'

m1 = a'bc

To minimize the function, we can observe that the variables b and c are the same in both minterms. So, we can eliminate them and write the simplified expression as:

F1(a, b, c) = a'

Therefore, the minimum SOP form of F1(a, b, c) is F1(a, b, c) = a'.

(b) To minimize the function F2(a, b, c) = M5 + M1, we need to find the minimum number of literals in the SOP standard form.

First, let's write the maxterms explicitly:

M5 = a' + b' + c'

M1 = a' + b + c

To minimize the function, we can observe that the variables a and c are the same in both maxterms. So, we can eliminate them and write the simplified expression as:

F2(a, b, c) = b' + c'

Therefore, the minimum SOP form of F2(a, b, c) is F2(a, b, c) = b' + c'.

(c) To minimize the function F3(a, b, c) = M5 ⋅ m1, we need to find the minimum number of literals in the SOP standard form.

First, let's write the maxterm and minterm explicitly:

M5 = a' + b' + c'

m1 = a'bc

To minimize the function, we can observe that the variable a is the same in both terms. So, we can eliminate it and write the simplified expression as:

F3(a, b, c) = b' + c'

Therefore, the minimum SOP form of F3(a, b, c) is F3(a, b, c) = b' + c'.

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78.4 ÷ 0.56 = 140

I just used an online calculator like you could do. But, here you go.

Answer:

Your Answer is going to be C

Answer:

W > 0.5L

Perimeter:

2L + 2W < 180

2L + 2(0.5L) < 180

2L + 1L < 180

3L < 180

÷3       ÷3

 L < 60

Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.

Answer:

60

is the answer on edge

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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Answer:

3rd choice

Step-by-step explanation:

The answer is the 3rd choice.

x cannot be 3 and 5 at the same time.

x = 3

x = 5

Subtract the first equation from the second equation.

x - x = 5 - 3

0 = 2

Since 0 = 2 is a false statement, there is no solution.

Answer: 3rd choice