Which property justifies the step?
2x +3 = -5x -1
7x + 3 = -1
A. distrubutive property
B. addition property of equality
c. commutative property
D. subtraction property of equality

Answer:

-7i

Step-by-step explanation:

Sqrt-49 = Sqrt49 *(- 1)

= Sqrt49 * sqrt-1

= ±7 * i

= ±7i

The value of the function instance, f (-3) as required to be determined according to the graph of f (x) as in the attached image is; -4.

It follows from the task content that the value of the function instance; f (-3) is to be determined according to the attached graph.

By observation; when a vertical line; x = -3 is drawn; it follows that the line passes through and intersects the lines; y = -1 and y = -4.

However, there's an open circle at; y = -1 which indicates that; -1 is not in the range of f (x).

Ultimately, the value of the function instance; f (-3) as required to be determined is; Choice 4; -4.

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Answer:

3√3v/3x V

Step-by-step explanation:

d/dt[32/3π, sin (tim), 3√3v/3x, V]

Answer:

6.64

Step-by-step explanation:

The nearest hundredth is the second digit after the decimal point.

6.6428571 rounded to the nearest hundredth is 6.64

The probability that in 650 games 0, 1, 2, or 3 no-hitters will be pitched:

No-hitters    probability

     0             0.5944

     1             0.3093

     2             0.0804

     3             0.0139

In this question, we have been given  the probability that a major league pitcher pitches a no-hitter in a game is about 1/1300.

We need to determine the probability that in 650 games 0, 1, 2, or 3 no-hitters will be pitched.

Here, p = 1/1300

            = 0.0008

q = 1 - p

  = 1 - 1/1300

  = 1299/1300

  = 0.9992

And n = 650

We know that the binomial distribution formula.

P(x) = nCx * p^(x) * q^(n - x)

Using binomial distribution we find required probability.

For x = 0,

P(x = 0) = 650C0 * (1/1300)^0 * (1299/1300)^(650 - 0)

P(x = 0) = 1 * 1 * (0.9992)^650

P(x = 0) = 0.5944

For x = 1,

P(x = 1) = 650C1 * (1/1300)^1 * (1299/1300)^(650 - 1)

P(x = 1) = 650 * (0.0008) * (0.9992)^649

P(x = 1) = 0.52  * 0.5948

P(x = 1) = 0.3093

For x = 2,

P(x = 2) = 650C2 * (1/1300)^2 * (1299/1300)^(650 - 2)

P(x = 2) = 210925 * (0.0008)^2 * (0.9992)^648

P(x = 2) = 0.0804

For x = 3,

P(x = 3) = 650C3 * (1/1300)^3 * (1299/1300)^(650 - 3)

P(x = 3) = 45559800 * (0.0008)^3 * (0.9992)^647

P(x = 3) = 0.0139

Therefore, the probability that in 650 games 0, 1, 2, or 3 no-hitters will be pitched are 0.5944, 0.3093, 0.0804, and 0.0139 respectively.

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The partial fraction decomposition of the function is x⁴ + 2 / x⁵ + 4x³ = -1/8x + 1/2x³ + 9/8x(x²+4)

Partial fraction decomposition function:

In algebra, When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction.

Given,

Here we have the expression

x⁴ + 2 / x⁵ + 4x³

Here we need to find the partial fraction decomposition function.

In order to solve this, first we have to factorize the denominator, then we get,

=> x⁴ + 2 / x⁵ + 4x³ = (x⁴ + 2) / x³ (x² + 4)

Now,  Partial fraction for each factors is written as,

=> A/x + B/x² + C/x³ + (Dx + E)/ (x² + 4)

Now, we have to  Multiply through by the common denominator of x³ (x² + 4), then we get,

=>  x⁴+2=A (x²(x²+4)) + B(x(x²+4)) + C (x²+4) + (Dx + E)(x³)

When we simplify this one, then we get,

=> x⁴ + 2 =Ax⁴ + 4Ax² + Bx³ + 4Bx + Cx² + 4C + Dx⁴ + Ex³

Group the x-terms and the constant terms

=> x⁴ + 2 =(A +D)x⁴ + (4A + C) x² + (B + E)x³ + 4Bx + 4C

Coefficients of the two polynomials must be equal, so we get equations

A+D=1

B+E=0

4A+C=0

4B=0

4C=2

After solving these equations, we get

A = -1/8, B = 0, C = 1/2, D=9/8, E = 0

Then when we substitute these values in the original fraction,

=> -1/8x + 1/2x³ + 9/8x(x²+4)

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The distributive property of 25+45 is 25+45 = 5(5+9).

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.

For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

Say you wish to multiply 5 by the product of 10 plus 3.

When two terms are similar, we often sum the two amounts before multiplying by 5. 5(10 + 3) = 5(13) = 65.

So, the distributive property of 25+45:

25+45 = 5(5+9)

Therefore, the distributive property of 25+45 is 25+45 = 5(5+9).

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Answer:

qwqe

Step-by-step explanation:wqeqwe

Answer:

6418698

-3485835

2932863

Step-by-step explanation:

On solving the provided question we got to know that, the median value won't change if the greatest sample Observation is decreased to 1.3735.

One of three ways to gauge central tendency is the median. The center position of a record is specified when describing it. A measure of central tendency is what this is. The mean, median, and mode are the three most frequently used indicators of central tendency.

The sum of all the values is divided by the total number of values, giving the mean value.

[tex]0.736 + 0.863 + 0.865 + 0.913 + 0.915 + 0.937 + 0.983 + 1.001 + 1.011 + 1.064 + 1.109 + 1.132 + 1.140 + 1.153 + 1.253 + 1.397 = 16.472\\16.472 /16 = 1.0295\\1.0295 is the mean value[/tex]

The number near the middle of the point is the median value. At the halfway point, there are two values.

[tex](1.001 + 1.011) / 2 = 1.006\\ 1.006 is the median value.[/tex]

As a result, the median value, which depicts the middle value of the numbers in the result, is less than the mean value, which depicts the real middle value of the numbers if they were equally distributed.

Their difference is that 1.0295 - 1.006 = 0.0235

1.397 observations make up the biggest sample. It may be made smaller by taking the number and removing the difference between the mean and median.

Consequently, there is a 0.0235-point difference between the mean and median.

Therefore;

[tex]1.397 - 0.0235 = 1.3735[/tex]

The median value won't change if the greatest sample Observation is decreased to 1.3735.

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The standard deviation of X is $2.00.

Probability is the likelihood that a specific occurrence will occur. Probabilities can be written as proportions with a 0 to 1 or 0% to 100% range.

Let X be the amount one wins. If the die is 4 or 5, the amount one wins is $1. If the die is 6, the amount one wins is $4. If the die is 1, 2, or 3, the amount is $0. Then, the probability of winning from 1 to 6 is 1/6.

The value of the expected mean (μ) is,

[tex]\begin{aligned}\mu&=\sum X P(X)\\&=1\times \frac{1}{6}+1\times \frac{1}{6}+4\times \frac{1}{6}+0\times\frac{1}{6}+0\times\frac{1}{6}+0\times\frac{1}{6}\\&=\frac{6}{6}\\&=1\end{aligned}[/tex]

Therefore, the standard deviation (σ)is [tex]\begin{aligned}\sigma&=\frac{\sum(X-\mu^2)}{n}\\&=\frac{(1-1)^2+(1-1)^2+(4-1)^2+(0-1)^2+(0-1)^2+(0-1)^2}{6}\\&=\frac{12}{6}\\&=2\end{aligned}[/tex]

The answer is $2. The correct option is option E.

The complete question is -

In a particular game, a fair die is tossed. If the number of spots showing is either 4 or 5 you win $1, if the number of spots showing is 6 you win $4, and if the number of spots showing is 1, 2, or 3 you win nothing. Let X be the amount that you win. Use Scenario 6-2. Which of the following is the standard deviation of X? A. $1.00 B. $1.35 C. $1.41 D. $1.78 E. $2.00

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The percentage of the hotel rooms in the city which were occupied during the convention is 98%.

What is percentage?

A percentage is a piece of a whole expressed as a number between 0 to 100. Nothing is said to be zero percent; everything is said to be 100 percent; half of something is said to be 50 percent; and nothing is zero percent.

You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

As given in the question,

Number of hotel room occupied = 9,800

Number of hotel room unoccupied = 200

Total number of the rooms in city = 9800 + 200

Total number of the rooms in city = 10,000

To calculate the percentage we proceeds as follow:

(9800/10000)100 = 98%

Therefore, the percentage is 98%.

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On solving the question, we got to know that - Due to this, at x=0 there is no vertical asymptote , there is a removable discontinuity at x= -a

Consider a function f(x) that is continuous for all values of a, changes in value as x approaches a while remaining undefined at x = a. increase. The vertical asymptote of f(x) at x = a is now a vertical line that may be drawn.

According to its study, the function's asymptote and discontinuity are found to be as

Due to this, at x=0 there is no vertical asymptote

and, also there is a removable discontinuity at x= -a

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4.65 kg the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

Given that,

A gold statue that is perched on a pedestal with a weight-sensitive alarm is replaced by a thief using a bag of sand. The statue and the bag of sand have the exact same volume, 1.55 L.

We have to calculate the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

We know that,

Mass of gold = Volume × Density

= 1.55×1000 cc × 19.3

= 29915 grams

= 29.915 Kg

Mass of sand = 1.55×1000×3

= 4650g

= 4.65 Kg

Volume = 1.55 L

= 1.55 × 1000 cc

= 1550 cc

Mass = Volume × Density

Mass of gold = 1550 × 19.3

= 29915 grams

= 29.915 kg

Mass of sand = 1550 × 3

= 4650 grams

= 4.65 kg

Therefore, 4.65 kg the mass of each item (assuming the bag's mass is negligible). (Sand density is 3.00 g/cm3, while the density of gold is 19.3 g/cm3)

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An example of inverse variation is y = 3/x .

What is Inverse Variation ?

Unlike the direct variation, where one quantity varies directly as per changes in another quantity, in the case of inverse variation, the first quantity varies inversely as per another quantity. Hence, the first quantity is inversely proportional to the other.

Let us say, x and y are two variables, then as per inverse variation:

y = k/x

or

xy = k

For example :

If x and y are in an inverse variation and k/3 = 2, and k/x = 3, then find the value of x when y = 2.

Given, k/3 = 2

then, k = 3 x 2 = 6

k/x = 3

So, x = k/3 = 6/3 = 2

Hence, if y = 2, then ;

x = k/y = 6/2 = 3

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a) The z-score for a sales associate who makes $36,000 is 1.4

b) The percentage of sales associates with salaries between $26,250 and $38,750 is 84%

c)  The percentage of sales associates with salaries between $27,500 and $37,500 is 95.4%

d) The percentage of sales associates with salaries less than $27,500 is 2.3%

e) Yes, the salary of $42000 should be considered as outlier.

Given,

Mean, [tex]\mu[/tex]=32500

Standard deviation, [tex]\sigma[/tex]=2500

a)

[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{36000-32500}{2500}=1.40[/tex]

The sales associate who makes 36000 is 1.4 standard deviation above the mean salary.

b)

As per chebyshev's theorem, [tex](1-\frac{1}{k^2})[/tex] of the observations fall within k standard deviation of the mean, i.e. within [tex]\mu\pm k\sigma[/tex]

[tex]z_1=\frac{x_1-\mu}{\sigma}\\\\z_1=\frac{26250-32500}{2500}=-2.50\\\\z_2=\frac{x_2-\mu}{\sigma}\\\\z_2=\frac{38750-32500}{2500}=2.50[/tex]

Hence, we need to find proportion of observations within [tex]\mu\pm2.5\sigma[/tex]

k=2.5

[tex](1-\frac{1}{k^2})=1-\frac{1}{2.5^2}=0.84=84\%[/tex]

Hence, 84% of sales associates have salaries between 26250 and 38750.

c)

As per empirical rule for a bell shaped distribution:

[tex]z_1=\frac{x_1-\mu}{\sigma}\\\\z_1=\frac{27500-32500}{2500}=-2\\\\z_2=\frac{x_2-\mu}{\sigma}\\\\z_2=\frac{37500-32500}{2500}=2[/tex]

Hence, we need to find the proportion of observations within \mu \pm 2\sigma

As per empirical rule, 95.4% of the observations fall within 2 standard deviation of the mean .i.e within [tex]\mu \pm 2\simga[/tex] .Therefore, percentage of sales associates with salaries between 27500 and 37500=95.4%

d)

[tex]z_1=\frac{x_1-\mu}{\sigma}\\\\z_1=\frac{27500-32500}{2500}=-2[/tex]

Percentage of sales associates with salaries less than 27500 will be equal to the area under the normal curve to the left z=-2

As per empirical rule 95.4% of the observations fall within 2 standard deviation of the mean

Therefore, the percentage of sales associates with salaries less than 27500 : [tex]\frac{100-95.4}{2}=2.3\%[/tex]

e)

[tex]z_1=\frac{x_1-\mu}{\sigma}\\\\z_1=\frac{42000-32500}{2500}=3.8[/tex]

A z-value greater than 3 is considered as an outlier.

Hence, the salary of 42000 should be considered as outlier.

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Only twice or less, according to 40% of respondents. Suppose the researchers are curious about the percentage of the population that would respond that it was two or less times, in which case the test statistic would be -0.208 and the standard deviation would be 0.048.

H0: The population proportion of women who have experienced two or fewer hangover symptoms in the past year is equal to or greater than 0.5.

Ha: The population proportion of women who have experienced two or fewer hangover symptoms in the past year is less than 0.5.

Set the alpha level

α = 0.05

Calculate the test statistic

n = 618 (women only)

p = 0.4 (from Table 3)

Standard Deviation = sqrt[p*(1-p)/n]

Standard Deviation = sqrt[0.4*(1-0.4)/618]

Standard Deviation = 0.048

Test Statistic = (0.4 - 0.5) / 0.048

Test Statistic = -0.208

Step 4: Make a decision

Since the test statistic (-0.208) is less than the alpha level (0.05), we reject the null hypothesis and conclude that the population proportion of women who have experienced two or fewer hangover symptoms in the past year is less than

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Probability in that a survey of 250 people ,at most 155 people support such cuts is 0.62.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

If 60% of the population supports massive federal budget cuts.

We have to find the probability in that a survey of 250 people, at most 155 people support such cuts.

So, the probability is, 155 / 250 = 0.62

Hence, probability in that a survey of 250 people ,at most 155 people support such cuts is 0.62.

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In a rhombus, all sides are the same length, and the opposite angles are equal. The diagonals also bisect each other at 90 degrees.

We know that,

A rhombus has two congruent acute and two congruent obtuse angles.

Here we use the terms  x and y to represent the angles.

where x is the acute angle

The angles total 360 degrees.

So far, we have:

2(x+y) = 360

By dividing both sides by 2 , we get,

x + y = 180

We can assume y is 3 times larger than x,

That is y = 3x

As a result, the equation becomes,

x + 3y = 180

Calculate the total

4x = 180

As a result, the acute angle is 45 degrees.

Hence we proved that y is 3 times larger than x.

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The  expressions are factors of the polynomial 3x4 - 14x³ 3x²+54x -40 are

Generally, To factor a polynomial using synthetic division, we need to find a factor of the polynomial that can be divided into the leading coefficient and the constant term of the polynomial.

In this case, the leading coefficient is 3 and the constant term is -40. One factor of 3 and -40 is (-4)(10).

The complete factorization of the polynomial is 3x⁴ - 14x³ + 3x² + 54x - 40  gives The remainder is 0, so the other factor is (x - 4)(x + 2)(x - 1)(x + 1).

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Answer:

k = -4

Step-by-step explanation:

Given system of linear equations:

[tex]\begin{cases}4x - 8y = -3\\2x + ky = 10\end{cases}[/tex]

Rewrite the given equations so that they are in slope-intercept form.

[tex]\begin{aligned}4x-8y&=-3\\4x&=8y-3\\4x+3&=8y\\\dfrac{4x+3}{8}&=y\\y&=\dfrac{1}{2}x+\dfrac{3}{8}\end{aligned}[/tex]

[tex]\begin{aligned}2x+ky&=10\\ky&=-2x+10\\y&=\dfrac{-2x+10}{k}\\y&=-\dfrac{2}{k}x+\dfrac{10}{k}\end{aligned}[/tex]

An inconsistent system of linear equations has no solutions and therefore the lines are parallel.  

Parallel lines have the same slope:

[tex]\implies \dfrac{1}{2}=-\dfrac{2}{k}[/tex]

[tex]\implies \dfrac{1}{2}k=-2[/tex]

[tex]\implies k=-2 \cdot 2[/tex]

[tex]\implies k=-4[/tex]

Answer:

--------------------------

Equation in the standard form ax + by = c  has:

Given system:

Compare the slopes of the two lines:

We need them to be equal:

Compare the y-intercepts of the two lines:

We need to confirm they are not same:

Confirmed, so k = -4 is our solution.

Answer:

here this should help you

The statement is true for parallelogram is a square is a) All the rhombuses are squares.

In a rhombus, the opposing sides are parallel. In a rhombus, the opposing angles are equal. Diagonals in a rhombus cut each other at right angles. A rhombus' angles are divided by diagonals.

Diagonals in a rhombus cut each other at right angles. A rhombus' angles are divided by diagonals. One of the most significant characteristics of rhombus diagonals is this. Two adjacent angles added together equal 180°.

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The numbers are matched to description as follows

-10          This is an integer    

31/π        This is an irrational number

√5          This is an irrational number

-5.6         This is a rational number, but not an integer

An integer are whole numbers both positive and negative

hence -10 is an integer

A rational number is one that has the form p/q, where p and q are both integers and q is not zero

Rational function means that the equation will be a fraction

-5.6 can be written as a fraction and the decimals can be terminated

Irrational numbers are made up of repeating decimals

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The area is:

Explanation:

To find the circle's area, use the formula [tex]\sf{A=\pi r^2}[/tex].

where:

A = area;

π = 3.14 (pi);

r = radius

Diagram:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 13\ in}\end{picture}[/tex]

Plug in the data:

Answer:

X=3

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Because Milwaukee's population is smaller than that of Baltimore, the only correct answer would be one that has the population of Baltimore higher than that of Milwaukee, which is only A

The solution for the variable is that the variable should be greater than 9.375

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

Given: the inequality 58x+170 > 42x+320. The unknown variable is x

In word problem, we can write:

When a variable x is multiplied by 58 and then 170 is added. The result is greater than variable x multiplied by 42 with 320 added

Solution for the unknown

58x+170 > 42x+320

58x-42x > 320-170

16x > 150

x > 150/16

x > 9.375

Thus, the solution for the unknown is that the unknown should be greater than 9.375

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This means that the probability that a doll selected at random will blink and have moving limbs is 0.26.

There is a 50% chance that the outcome will be heads, thus 50 heads are to be expected. When we really attempt it, though, we might instead get 48 heads, 55 heads, or anything else at all, but in most situations, it will be a figure close to 50.

calculation

If B is a set of moveable arms and legs and A is the number of dolls that can blink, then P(A)=0.47, P(B)=0.56, P(A' and B')=0.23,

therefore P(A or B)=1-0.23=0.77, and

P(both blink and moveable limbs)=P(A and B)=0.47+0.56-0.77=0.26.

This means that the probability that a doll selected at random will blink and have moving limbs is 0.26.

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