What is the missing step in solving the inequality 4(x – 3) 4 < 10 6x? 1. the distributive property: 4x – 12 4 < 10 6x 2. combine like terms: 4x – 8 < 10 6x 3. the addition property of inequality: 4x < 18 6x 4. the subtraction property of inequality: –2x < 18 5. the division property of inequality: ________ x < –9 x > –9 x < x is less than or equal to negative startfraction 1 over 9 endfraction. x > –x is greater than or equal to negative startfraction 1 over 9 endfraction.

Answer:

w=24

Step-by-step explanation:

w-9=15

w=15+9

w=24

Answer:

24 1/2

Step-by-step explanation:

just did  

\((a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\\a^2+b^2+c^2=(a+b+c)^2-2ab-2ac-2bc\\a^2+b^2+c^2=(a+b+c)^2-2(ab+ac+bc)\\\\m^2+n^2+p^2=10^2-2\cdot 27=100-54=46\)

The score assigned by the logistic regression classifier to the positive class is 8.

In logistic regression, the score assigned to a class is calculated by taking the dot product of the weight vector and the feature vector, and adding the bias term. Here, the weight vector is [2, 5, -10, 0, -1], the feature vector is [0, 1, 1, 3, -5], and the bias term is 0.

To calculate the score for the positive class, we multiply each corresponding element of the weight vector and feature vector, and sum up the results.

(2 * 0) + (5 * 1) + (-10 * 1) + (0 * 3) + (-1 * -5) + 0 = 8

Therefore, the score assigned by the classifier to the positive class is 8.

The cross-entropy loss is a measure of how well the classifier is performing. It quantifies the difference between the predicted class probabilities and the true class labels. In logistic regression, the cross-entropy loss is given by the formula:

-1 * (y_true * log(y_pred) + (1 - y_true) * log(1 - y_pred))

Where y_true is the true label (0 for NEG and 1 for POS) and y_pred is the predicted probability for the positive class.

If the correct label for the example is POS, the cross-entropy loss would be calculated using y_true = 1 and y_pred = sigmoid(score). In this case, the score is 8, and the sigmoid function squashes the score between 0 and 1.

If we assume the correct label is NEG, then the cross-entropy loss would be calculated using y_true = 0 and y_pred = sigmoid(score).

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Answer:

1 would be the whole number

Answer:

y = 4x - 9

Step-by-step explanation:

Same slope, so they're parallel

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

Soccer: 30,000 fans

Golf: 60,000 fans

Tennis: 135,000

Basketball: 225,000

Football: 330,000

Hockey: 720,000

Step-by-step explanation:

I think making the circle graph is self explanatory, sorry, I can't show it.

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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Answer:

r=3/4

Step-by-step explanation:

(135/2) / 90 = 0.75

(405/8) / (135/2) = 0.75

0.75 = 3/4

True. Probability of an uncertain outcome is a number between 0 and +1, exclusively.

The probability of an uncertain outcome is a measure of the likelihood that the outcome will occur, and it is always a number between 0 and 1, inclusive. A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain. Probabilities between 0 and 1 indicate the degree of uncertainty about whether the event will occur or not.

Probabilities cannot be negative or greater than 1, as they represent a proportion of the total possible outcomes. If the probability of an event were negative or greater than 1, it would imply that the event is impossible or certain to occur, respectively, and violate the fundamental laws of probability theory.

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Answer:

This is how you convert

Step-by-step explanation:

Feet per minute is speed unit, symbol: [fpm]. Definition of 1 feet per minute ≡ 1 ft / 60 s = 30.48 cm / 60 s. The speed with which the body moves 1 foot (or 30.48 centimetres) in 1 minute.. Compared to metre per second, feet per minute is smaller unit.

The given statement after evaluating and considering the other options is false. Due to the criteria it falls under elaborates the  case of statistically significant change is to be present while comparing the math scores  between the two groups, In short there will always be difference between two group s while we compare them on a particular topic .

From here on we can come to the conclusion that the difference was not due to chance occurrence.

A statistically significant change  refers to process which is  unlikely to be elaborated solely by chance and random factors.

In short, a statistically significant  has a very less chances  of taking place if there is no true effect in a research study.

The famous examples of statistical significance of finding are

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Answer:

B. {all real numbers less than 2}

Step-by-step explanation:

Subtracting 5 from both sides yields x<2.

Answer:D

Step-by-step explanation: You can multiply the first equation by 2, and then add two equations together, find x, then plug in and find y and voila! its D

:D

Here is the tree diagram to represent the sample space of spinning the spinner twice:

sp1 - Possible outcomes of the first spin:

Red, Blue, Green

sp1 - Red

sp2 - Red Red, Red

sp2 - Blue Red, Blue

sp2 - Green Red, Green

sp1 - Blue

sp2 - Red Blue, Red

sp2 - Blue Blue, Blue

sp2 - Green Blue, Green

sp1 - Green

sp2 - Red Green, Red

sp2 - Blue Green, Blue

sp2 - Green Green, Green

So the full sample space would be:

{(Red, Red), (Red, Blue), (Red, Green),

(Blue, Red), (Blue, Blue), (Blue, Green),

(Green, Red), (Green, Blue), (Green, Green)}

Does this capture the correct sample space for spinning the spinner twice? Let me know if you need any clarification.

2sin(x) - 1 =0

first, simplify and isolate sin(x)

2sin(x) - 1 = 0

2sin(x) = 1

sin(x) = 1/2

Then, do sin inverse of 1/2 which is 30 degrees

150 degrees also works because when you set 30 degrees as the reference angle in quadrant 2, you get 150 degrees. 180-30 = 150

C is the answer

By finding out the HCF, we can infer that the maximum number of groups that can be formed will be 32.

The number that divides two or more numbers exactly is said to be the highest common factor (HCF) of those numbers.

Given data:

Number of girls = 128.

Number of boys = 96.

In order to find the maximum number of groups that can be formed, we need to find highest common factor of 96 and 128.

To find HCF, we have to divide each number into it's prime factors.

Prime factors of 128 are 2×2×2×2×2×2×2

Prime factors of 96 are 2×2×2×2×2×3

Out of those two groups (2×2×2×2×2×2×2) and ( 2×2×2×2×2×3), the only thing in common is 2⁵. So, 2⁵ is the highest common factor.

Hence, the maximum number of groups that can be formed is 32.

Now, to find out the number of pupil in each group, we divide the total by 2⁵, so:

128/32 = 4

96/32 = 3

So, there will be 4 girls and 3 boys in each group.

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Answer:75

Step-by-step explanation:

Compound interest is interest that is calculated on both the principal amount and any accumulated interest from previous periods. This results in the interest earning interest over time, leading to exponential growth.

If you deposit $2,000 in a savings account with an interest rate of 6 percent, the interest rate is the return you get for lending your money to the bank. The interest is calculated on an annual basis, and the compounding period, which is the frequency at which interest is added to the account, can vary. In this case, assuming that the interest is compounded annually, it would take approximately 12 years for the $2,000 to become $4,000.

To calculate this, you can use the formula for compound interest: FV = PV x (1 + r)^n, where FV is the future value, PV is the present value, r is the interest rate, and n is the number of compounding periods. In this case, FV is $4,000, PV is $2,000, r is 6 percent (0.06), and n is the number of years. So, you would solve for n as follows:

$4,000 = $2,000 x (1 + 0.06)^n

Dividing both sides by $2,000 and taking the logarithm of both sides, you get:

log(2) = n x log(1.06)

Solving for n, you get:

n = log(2) / log(1.06) = 11.9

Therefore, it would take approximately 12 years for $2,000 to become $4,000 if it is deposited in a savings account with an interest rate of 6 percent and compounded annually.

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A system of linear equations with three unknowns whose solutions are the points on the line through (1, 1, 1) and (3, 5, 0) can be found as follows:

Suppose that the line through the points (1, 1, 1) and (3, 5, 0) can be represented by the vector equation (x, y, z) = (1, 1, 1) + t(2, 4, -1), where t is a scalar parameter. Then we have x = 1 + 2t, y = 1 + 4t, z = 1 - t. This vector equation can be rewritten as a system of linear equations by equating each component of the vectors.

We have:

x = 1 + 2t, y = 1 + 4t, z = 1 - t

So, the system of linear equations with three unknowns whose solutions are the points on the line through (1, 1, 1) and (3, 5, 0) is:

x - 2t = 1, y - 4t = 1, z + t = 1.

To find a system of linear equations with three unknowns whose solutions are the points on the line through (1, 1, 1) and (3, 5, 0), we can use the parametric equation of a line in three dimensions. Suppose that the line through the points (1, 1, 1) and (3, 5, 0) can be represented by the vector equation (x, y, z) = (1, 1, 1) + t(2, 4, -1), where t is a scalar parameter.

This vector equation means that the coordinates of any point on the line can be obtained by adding a scalar multiple of the direction vector (2, 4, -1) to the point (1, 1, 1).

In other words, if we let t vary over all real numbers, we obtain all the points on the line. Then we can rewrite the vector equation as a system of linear equations by equating each component of the vectors. We have:

x = 1 + 2t,y = 1 + 4t, z = 1 - t .

This system of equations represents the line passing through (1, 1, 1) and (3, 5, 0) in three dimensions. The first equation tells us that the x-coordinate of any point on the line is 1 plus twice the t-coordinate. The second equation tells us that the y-coordinate of any point on the line is 1 plus four times the t-coordinate.

The third equation tells us that the z-coordinate of any point on the line is 1 minus the t-coordinate. Therefore, any solution of this system of equations gives us a point on the line through (1, 1, 1) and (3, 5, 0). Therefore, the system of linear equations with three unknowns whose solutions are the points on the line through (1, 1, 1) and (3, 5, 0) is:

x =1+ 2t, y - 4t = 1, z + t = 1

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Answer:

a=4

b=18

c=30

d=46

e=60

Step-by-step explanation:

you first write the 4 and then add 14 i.e the next number on the frequency row. then you add the next number to the answer you get and so on

Answer:h = s / π.r²

Step-by-step explanation:

the given equation is s = π.r².h

Now if we have to calculate the value of h from the given formula then we will solve it so that h remains alone on one side of the equation.

This only possible when we divide term on both the sides by π.r²

s/π.r² = π.r².h/π.r²

h = s / π.r²

Therefore h = s / π.r² is the right option.

Answer:I think it is 81 and 100

Step-by-step explanation:

Answer:

99

Step-by-step explanation:

Answer:

\(x = 2\sqrt{55}\)  

Step-by-step explanation:

Given the values for the leg and hypotenuse:

a (leg) = 6 cm

c (hypotenuse) = 16 cm

Use the Pythagorean Theorem to find the value of the other leg, x:

\(x = \sqrt{c^{2} - a^{2} }\)

\(x = \sqrt{16^{2} - 6^{2} }\)

\(x = 2\sqrt{55}\)  

Answer:

Your answer is \(\sqrt{220}\) or 14.8323969...

Step-by-step explanation:

\(A^{2} +B^{2} =C^{2} \\x^{2} + 6^{2} =16^{2}\)

\(x^{2} =16^{2} -6^{2} \\\)

\(x^{2}\) = 256 - 36

x = \(\sqrt{220}\)

(a) Natural Numers: root 81 = 9

(b) Whole Numbers: 0, root 81 = 9

(c

Answer:

Explanation:

21²×5 = 2205

The total number of combinations of tag codes is 2,205 tag codes

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of combinations of tag codes be A

Now , the equation will be

The number of letters in the tag codes = 3 letters

The first letter is a consonant

The total number of ways of selecting a consonant = ²¹C₁

The second letter is a vowel

The total number of ways of selecting a vowel = ⁵C₁

The third letter is a consonant

The total number of ways of selecting a consonant = ²¹C₁

The total number of combinations of tag codes A = ²¹C₁ x ⁵C₁ x ²¹C₁

On simplifying the equation , we get

The total number of combinations of tag codes A = 21 x 5 x 21

The total number of combinations of tag codes A = 2,205 tag codes

Hence , the number of combinations is 2,205

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