Which expression completes the statement to form a true equation?
2 + 4 =
25
09
O2 + 9
O3 +9

The smallest positive five-digit integer, with all different digits, that is divisible by each of its non-zero digits is 10236.

To find the smallest positive five-digit integer that satisfies the given conditions, we need to consider the divisibility rules for each digit. Since the integer must be divisible by each of its non-zero digits, it means that the digits cannot have any common factors.

To minimize the value, we start with the smallest possible digits. The first digit must be 1 since any non-zero number is divisible by 1. The second digit must be 0 since any number ending with 0 is divisible by 10. The third digit should be 2 since 2 is the smallest prime number and should not have any common factors with 1 and 0. The fourth and fifth digits can be 3 and 6, respectively, as they are different from the previous digits.

Thus, the smallest positive five-digit integer that satisfies the conditions is 10236. It is divisible by each of its non-zero digits (1, 2, 3, and 6) without any common factors among them.

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The sample best represents population b) 250 frogs, 750 lizards, 750 worms.

To determine which population the sample best represents, we need to compare the proportions of frogs, lizards, and worms in the sample to the proportions in each population option.

In the sample, there are 18 frogs, 18 lizards, and 6 worms. Therefore, the proportions in the sample are:

- Frogs: 18/42 = 0.43 (rounded to two decimal places)

- Lizards: 18/42 = 0.43 (rounded to two decimal places)

- Worms: 6/42 = 0.14 (rounded to two decimal places)

Now let's compare these proportions to each population option:

a) 250 frogs, 250 lizards, 250 worms:

- Frogs: 250/750 = 0.33 (rounded to two decimal places)

- Lizards: 250/750 = 0.33 (rounded to two decimal places)

- Worms: 250/750 = 0.33 (rounded to two decimal places)

The proportions in option a) are not similar to the proportions in the sample, so it is not the best representation.

c) 750 frogs, 250 lizards, 750 worms:

- Frogs: 750/1750 = 0.43 (rounded to two decimal places)

- Lizards: 250/1750 = 0.14 (rounded to two decimal places)

- Worms: 750/1750 = 0.43 (rounded to two decimal places)

The proportions in option c) are similar to the proportions in the sample for frogs and worms, but the proportion for lizards is different. Therefore, it is not the best representation.

d) 750 frogs, 750 lizards, 250 worms:

- Frogs: 750/1750 = 0.43 (rounded to two decimal places)

- Lizards: 750/1750 = 0.43 (rounded to two decimal places)

- Worms: 250/1750 = 0.14 (rounded to two decimal places)

The proportions in option d) are similar to the proportions in the sample for frogs and lizards, and the proportion for worms is different. Therefore, it is not the best representation.

Comparing the proportions, we can see that option b) has the closest proportions to the sample. The proportions for frogs and lizards in option b) match the sample, while the proportion for worms is slightly different but closer than the other options. Therefore, the sample best represents population b) 250 frogs, 750 lizards, 750 worms.

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The probable question may be:

A representative sample includes 18 frogs, 18 lizards, and 6 worms. Which population does the sample best represent?

a) 250 frogs , 250 lizards, 250 worm

b) 250 frogs, 750 lizards, 750 worm

c) 750 frogs , 250 lizards , 750 worm

d) 750 frogs 750 lizards 250 worm

For any probability distribution, the expected value: 1. represents the location/center of the distribution.

In Mathematics and statistics, an expected value is sometimes referred to as the long-term mean (average) of a discrete random variable, E(X) and it can be calculated by taking the weighted average of all the outcomes of the discrete random variable with respect to their probabilities.

For instance, in a game of dice, the total number of outcomes (expected values) is generally equal to six (6). This ultimately implies that, the probability of rolling each number is p(x) = 1/6.

In conclusion, the location or center of distribution is represented by the expected value in any probability distribution.

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Answer:

2.4 cups of flour or 2 2/5 cups of flour

Step-by-step explanation:

(1/3) divided by 5 = 0.06666666666

3 dozen = 36

0.06666666666 x 36 = 2.4

also, did you mean to make 5 dinner rolls?

Answer:

Its 3.3

Step-by-step explanation:

I took the quiz HOPE THIS HELPS!!!!

Answer:

There you go , happy to help

Let the number of free throws Jeramiah got be x and the field goals he got be 17-x.

x + 2(17-x) = 28

x = 6

Jeramiah made 6 field throws.

When you raise a number to the power with the exponent 1/2, you get its

D. square root.

The principal square root of b is the positive square root, denoted sqrt(b)

when you divide a number with 2 the that is the half value.

root is nothing but a solutions or zeros of the equation.

square root can be both negative of positive. But principal square root is only positive square root. That is the main difference between square root and principal square root. All principal square roots are square roots but not vice-versa.

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The complexity of the algorithm is O(n^2)b and there is no algorithm that can evaluate a polynomial in sublinear time complexity.

Brute-force Algorithm:

a. In order to evaluate a polynomial given in the form p(x) = anxn + an-1xn-1 + … + a0 at a particular point x0, the brute-force method simply plugs in the value of x0 into the polynomial and evaluates the entire polynomial expression

Take an integer n and n+1 numbers a0, a1, a2, ...an.Let x be a real or complex number.

Evaluate p(x) as: p(x) = a0 + a1x + a2x2 + … + anx^nPseudo-code for brute-force algorithm to evaluate polynomial p(x) at point x0:

function evaluate_polynomial(polynomial_coefficients, point_x)

{ sum = 0; for i = 0 to n do{ term = polynomial_coefficients[i] * pow(point_x, i); sum = sum + term;} return sum;}

Complexity of the algorithm: O(n^2)b.

b. Linear Algorithm:

The evaluation of a polynomial at a given point can be carried out by using the Horner's rule algorithm which is in Theta(n).

Horner's rule algorithm works by computing the polynomial one coefficient at a time in the following

Take an integer n and n+1 numbers a0, a1, a2, ...an.

Let x be a real or complex number.

Evaluate p(x) as: p(x) = a0 + x(a1 + x(a2 + … + x(an-1 + xan)…)

Pseudo-code for linear algorithm to evaluate polynomial p(x) at point x0:

function evaluate_polynomial_horner(polynomial_coefficients, point_x) { n = polynomial_coefficients.size; result = polynomial_coefficients[n-1];

for i = n-2 to 0 do{ result = result * point_x + polynomial_coefficients[i];} return result;}

c. Complexity of the algorithm:

O(n)

Better-Than-Linear Algorithm:

It is not possible to evaluate a polynomial of degree n at a point x0 using an algorithm whose worst-case efficiency class is better-than-linear (O(n)).

Thus, there is no algorithm that can evaluate a polynomial in sublinear time complexity.

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Answer: 3^15

Step-by-step explanation: carry the one to the 5 divide by the third and multiply the fractions , find the mean ( average ) of the mode and square that to find your a b and c values

please mark this answer as brainlist

The P-value in this case is approximately 0.1131.

In the given problem, we are given a test statistic t = 1.212, a sample size n = 6, and an alternative hypothesis H1: μ > μ0.

To calculate the P-value, we need to find the area to the right of the test statistic t in the t-distribution with n - 1 degree of freedom (df), assuming the null hypothesis is true.

Using a t-table or calculator, we can find that the area to the right of t = 1.212 with 5 degrees of freedom is approximately 0.1131. This means that if the null hypothesis were true (i.e., if the population mean were equal to the hypothesized value μ0), we would expect to observe a test statistic as extreme as t = 1.212 or more extreme in about 11.31% of random samples of size 6.

Since the P-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming that the null hypothesis is true, we can conclude that the P-value in this case is approximately 0.1131.

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Step-by-step explanation:

Let's start by simplifying our light terms.

\(q = \frac{33 \times 10 {}^{9} }{11 \times 10 {}^{7} } \)

33 is divisible by 11 so i can simplify up and down by 11.

\(q = \frac{3 \times 10 {}^{9} }{1 \times 10 {}^{7} } \)

Now i have 10^9 in the numerator and 10^7 in the denominator. I can remove 10^7 from up and down to get;

\(q = \frac{3 \times 10 {}^{9 - 7} }{1 \times 10 {}^{7 - 7} } = \frac{3 \times 10 {}^{2} }{1 \times 10 {}^{0} } = \frac{3 \times 10 {}^{2} }{1 \times 1} \)

\(q = 3 \times 10 {}^{2} \)

And that is your scientific notation.

Answer:

The residual value when x = 4 is 0.58

Step-by-step explanation:

The residual value of a fitted function is the difference between the actual value of the data for a given input and the result of the fitted function. On this problem for the actual values, when \(x = 4\) we have \(y_{data} = 7.3\) , although, for the fitted function on the same value of "x", we have a different value, which is calculated below:

\(y(4) = 2.78*4 - 4.4 = 6.72\)

The residual value is:

\(\text{residual value} = y_{data} - y_{function} = 7.3 - 6.72 = 0.58\)

The residual value when x = 4 is 0.58

Functions are written in terms of variables.  The residual value when the value of x is 4 is 0.58

Functions are written in terms of variables. Given the following function that represent the data in the table

y = 2.78x – 4.4

If the value of x is 4, the corresponding value of y is expressed as:

y = 2.78(4) – 4.4

y = 11.12 - 4.4

y = 6.72

Determine the residual value

Residual value = 7.3 - 6.72

Residual value = 0.58

Hence the residual value when the value of x is 4 is 0.58

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Answer:

5

Step-by-step explanation:

The measure of the segment AB is 5 units.

Given that on a number line point A is at -5 and B is at 0 we need to find the measure of the segment AB,

To find the measure of the segment AB on a number line, we need to calculate the absolute difference between the coordinates of points A and B. In this case, point A is at -5, and point B is at 0.

The absolute difference between -5 and 0 is calculated as follows:

|(-5) - 0| = |-5| = 5

Therefore, the measure of the segment AB is 5 units.

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The odds ratio for people who are afraid of heights being afraid of flying can be calculated using a case-control study design. In this design, individuals with and without a fear of flying are compared to determine the odds of having a fear of flying if someone already has a fear of heights. The odds ratio can be calculated by dividing the odds of having a fear of flying among those who are afraid of heights by the odds of having a fear of flying among those who are not afraid of heights. A higher odds ratio indicates a stronger association between the two fears.

Odds ratio is a measure of the strength of association between two variables. In this case, we are interested in the association between a fear of heights and a fear of flying. By calculating the odds ratio, we can determine if there is a higher likelihood of having a fear of flying if someone already has a fear of heights.

In conclusion, the odds ratio for people afraid of heights being afraid of flying can be calculated using a case-control study design. The higher the odds ratio, the stronger the association between the two fears. By understanding this relationship, we can better understand how different fears may be related and how they can impact our lives.

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Answer:

$10,400

Step-by-step explanation:

If he makes 26$ an hour and works 40 hours a week, that's $1,040 a week.

If he wants to make $1,040 on a 10% commission, he would have to sell $10,400 worth of whatever because 10% of that is $1,040

In the balance sheet, mortgage notes payable are reported as a long-term liability only.

Mortgage notes payable represent the amount owed by a company for a mortgage loan. These loans are typically long-term obligations that are expected to be repaid over an extended period, often several years. Therefore, mortgage notes payable are classified as long-term liabilities in the balance sheet.

Current liabilities are obligations that are expected to be settled within a short period, usually one year or less. Since mortgage notes payable typically have a longer repayment term, they do not meet the criteria to be classified as current liabilities.

By reporting mortgage notes payable as a long-term liability, the balance sheet provides a clear distinction between the company's short-term and long-term obligations, helping stakeholders understand the company's financial position and obligations over different time horizons.

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To find h'(3) given h(x) = f(x) xg(x), we use the product rule of differentiation:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

We are not given the functions f(x) and g(x), but we can use the given graphs to estimate their values near x = 3. Let's say that f(3) = 2 and g(3) = 5. We also need to estimate f'(3) and g'(3) in order to calculate h'(3). We can estimate these values using the slopes of the tangent lines to the graphs at x = 3.

Let's say that the slope of the tangent line to the graph of f(x) at x = 3 is 1, and the slope of the tangent line to the graph of g(x) at x = 3 is 3. Then we have:

f'(3) ≈ 1

g'(3) ≈ 3

Substituting these values into the product rule for h'(x), we get:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

h'(3) = f'(3) 3 g(3) + f(3) g(3) + f(3) 3

h'(3) = (1)(3)(5) + (2)(5) + (2)(3)

h'(3) = 19

Therefore, h'(3) is approximately equal to 19, based on the given graphs and our estimates of f'(3) and g'(3).

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The expression of the mathematical statement given as the difference of t and five multiplied by six is four is 6(t - 5)  = 4

From the question, the mathematical statement is given as

the difference of t and five multiplied by six is four

The difference of numbers means that we subtract the numbers

i.e. difference means subtraction

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) multiplied by six is four

The multiplication of numbers means that we take the product of the numbers

i.e. multiply means product

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) x six is four

Lastly, we have

(t - five) x six = four

Express as numbers

(t - 5) x 6 = 4

This becomes

6(t - 5)  = 4

Hence, the expression represented by the statement is 6(t - 5)  = 4

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Answer:

y=-17

Step-by-step explanation:

4(-5)= -20

then -20+3= -17

Answer:

y= -17

Step-by-step explanation:

See solution below

Explanation:

a) 5x - 7 ≤ -2

collect like terms:

5x ≤ -2 + 7

5x ≤ 5

Divide through by 5:

x ≤ 1

From the graph above, the inequality has a solution.

b) 2/3b > -8

Cross multiply:

2 > -8(3b)

2 > -24b

Divide through by -24:

Note: when we divide an inequality by a negative number, the inequality sign changes.

2/-24 < b

-1/ 12 < b

Hence, b > -1/12

Note: To make it easier to graph, I represented b with x

From the graph above, the inequality has a solution.

c) 3w - 7 - w < 2w + 4

2w - 7 < 2w + 4

collect like terms:

2w - 2w < 4 + 7

0 < 11

Note: To make it easier to graph, I represented b with x

From the graph, the solution is for all real numbers.



The percentage of $898.01 billion that is spent on $161.4 billion​ is equal to 17.97%.

In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

In order to determine the percentage, we would use the following mathematical expression:

Percentage = 161.4/898.01 × 100

Percentage = 0.1797 × 100  

Percentage = 17.97%

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Answer:

The answer is option D - 1120°

1120° is the sum of the sixed marked angle in the picture. Therefore, the correct option is option D.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the size of such an angle or a rotational angle. The width of a circular path divided by its radius is the traditional definition of this metric, which may also be signed. 1120° is the sum of the sixed marked angle in the picture.

Therefore, the correct option is option D.

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Answer:

5:3

Step-by-step explanation:

To simplify the ratio, we have to divide both terms by the greatest common factor (GCF). The GCF is the highest number that can divide evenly into two or more numbers. The GCF of 30 and 18 is 6.

30/6 = 5

18/6 = 3

30:18 = 5:3

Answer:

I got negative 15 for an answer

Answer:

15

Step-by-step explanation:

Answer: x < √3 - x

Step-by-step explanation:

-x^2+x-3<0

= x^2+x < 3

= x^2 < 3 - x

= x < √3 - x

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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We are given a set of vectors S and we need to determine whether each given vector can be written as a linear combination of the vectors in S.

(a) For vector (2, -1, -2), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (2, -1, -2). By solving the system of equations, we find that k₁ = -1 and k₂ = 0, so the vector can be written as a linear combination of the vectors in S.

(b) For vector (8, -14, 27/4), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (8, -14, 27/4). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(c) For vector (1, -8, 12), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, -8, 12). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(d) For vector (1, 1, -1), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, 1, -1). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

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Answer:

6x - 1

Step-by-step explanation:

Side 1: 5x - 1

Side 2: 4x + 4

Side 3: Unknown, y

Perimeter: 15x + 2

Perimeter = Side 1 + Side 2 + Side 3

15x + 2 = 5x - 1 + 4x + 4 + y

15x + 2 = 9x + 3 + y

6x - 1 = y

y = 6x - 1

Side 3 = 6x - 1