ZA
Round your answer to the nearest hundredth.

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The value of x is ~

\( \boxed{5}\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

As it's given that AB = BC, so let's plug the value of AB and BC in terms of x and equate them to solve for x ~

that is ~

Answer:

See below for answer.

Step-by-step explanation:

AB ≅ BC      Given

2x - 1  = x + 4     Definition of congruent

-x      = -x      

 x - 1 =  4               Add -x to both side of the equation

   +1  =  +1              Add 1 to both sides of the equation  

    x  = 5

Answer:

x = 5

Step-by-step explanation:

first of all, the two given angles are alternate angles, meaning they are of the same value in terms of degrees so that means we can write it as 21x - 5 = 100 and then we can work out x from here. we can ads 5 to the left to get rid of -5 but then we would also have to add 5 to the right. we are left with 21x = 105 so now we have to divide both sides by 21 to get x = 5 because 105 ÷ 21 = 5 and 21x ÷ 21 = x

Answer:

60%

Step-by-step explanation:

New amount - Original amount/ original amount * 100

11.2 pounds - 7 pounds = 4.2

4.2/7 = 0.6

0.6*100 = 60.

A distribution is negatively skewed if the mode is larger than the mean. The final answer is C.

In a negatively skewed distribution:

A. the median is larger than the mode.

B. the mean is larger than the mode.

C. the mode is larger than the mean.

D. the mean is larger than the median.

Negatively Skewed Distribution:

left skewed distributions occur when the long tail is on the left side of the distribution. Statisticians also refer to them as negatively skewed. This condition occurs because probabilities taper off more slowly for lower values. Therefore, you’ll find extreme values far from the peak on the low side more frequently than the high side.

The distribution is negatively skewed if the data values are clustered on the right side of the curve causing it to have a peak on the right but a flatter tail on the left side. This happens when the data set has more frequently occurring higher values than lower values.

When the median is closer to the box’s higher values and the lower whisker is longer, it’s a left skewed distribution. Notice that the longer tail extends towards the lower values, making it negatively skewed.

To find out if the data set follows a normal or skewed distribution, the three measures of central tendency (mean, median, and mode) can be compared.

The mean is greater than the median. The mean overestimates the most common values in a positively skewed distribution

The distribution is negatively skewed  if the mean is lesser than the median and the median is lesser than the mode.

The given scenario is the same as negatively skewed I if the mode is larger than the mean. The final answer is C.

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Answer:

candy:6

gum:4

The answer is that because I did systems from a word problem

a. the factors of equation is \(f(x)=(x-1)(x-10)(2x-3)\)

b. the factors of equation is \(f(x)=(x-1)(x^2+x+4)\)

A polynomial is an expression consisting of variables and coefficients that involves only the operations of addition, subtraction, and multiplication, with non-negative integer exponents.

a. Given function,

\(f(x)=2x^3 -25x^2 + 53x - 30\)

By using trial and error method, put values of x =1, x= 10, and x= 3/2 are satisfied values for above function,

\(f(x)=(x-1)(x-10)(2x-3)\)

therefore, the factors of equation is (x-1) (x-10) (2x-3)

b. Given function,

\(f(x)=x^3 +3x - 4\)

Similarly using trial and error method,

\(f(x)=(x-1)(x^2+x+4)\)

therefore, the factors of equation is (x-1) (x² + x + 4)

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Factor of given polynomials are a. (x-1)(x-10)(2x-3), b. (x-1)(x² + x + 4) .

In mathematics, a polynomial is an expression that consists of variables and coefficients, combined using the operations of addition, subtraction, and multiplication, but not division by a variable. The variables in a polynomial can only have non-negative integer exponents.

Polynomials can have different degrees, which is the highest power of the variable in the expression. For example, the polynomial 3x² - 5x + 2 is a quadratic polynomial, since its highest power of x is 2. If the degree of a polynomial is n, then it has at most n roots, which are the values of x that make the polynomial equal to zero.

Polynomials are used in many areas of mathematics and science, including algebra, calculus, physics, and engineering. They are used to model and analyze many different types of phenomena, such as motion, population growth, and electrical circuits.

Polynomials can also be added, subtracted, and multiplied together to form new polynomials. Additionally, polynomials can be factored, which involves breaking them down into simpler polynomials that multiply together to give the original polynomial.

a) f(x)= 2x³ - 25x² + 53x - 30
⇒(x-1)(x-10)(2x-3)

b) f(x)= x³ + 3x - 4
⇒(x-1)(x² + x + 4)

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The complete question is:

Answer:

ion understand either lol

The price of one adult ticket is $15 and the price of one child ticket is $8.

Two sets of equations can be derived from this question:

14a + 14c = 322 equation 1

12a + c = 188 equation 2

These equations are known as simultaneous equations and they can be solved to determine the cost of each ticket using the elimination method.

In order to determine the cost of the adult's ticket multiply equation 2 by 14

168a + 14c = 2632 equation 3

Subtract equation 1 from 3

2310 = 154a

Divide both sides by 154

a = $15

To determine the cost of the children's ticket substitute for a in equation 1

14(15) + 14c = 322

210 + 14c = 322

322 - 210 = 14c

112 = 14c

c = $8

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Answer:

He has 22 students

Step-by-step explanation:

45 divided by 2 is 22 with 1 left over

Answer:

0

Step-by-step explanation:

Because (0,2), when you go up 5 and right 1, you get (1,7)

Answer:

The answer is 0

when you go up five and to the right once, you will get (1,7)

Step-by-step explanation:

Demographics variables include the characteristics of a population, similar as age, gender, race, education, income, occupation, and geographic position.

 Demographic shifts can have a conspicuous impact on the request in the coming 10 times. One of the significant demographic shifts is the growing population.

The growing population will have a conspicuous impact on the healthcare request as they need further medical care as they progress.

The growing population also has an impact on the casing request as they're looking to reduce or move to withdrawal communities. Another demographic shift that will have a conspicuous impact on the request is the increase in diversity in the population.

The increase in diversity will impact the food and libation request as different societies have different salutary requirements and preferences. It'll also impact the marketing fashion request as different societies have different fashion styles and preferences.

An illustration of a folklore is the LGBTQ community. The unique marketing aspect of this folklore is the need for addition and acceptance. Companies can reach out to this folklore by featuring LGBTQ individualities in their announcements. An illustration of this is the recent Coca- Cola announcement featuring a same- coitus couple.

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Answer:

The midpoint of the diameter is (4, 1)

This is the center of the circle

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

Explanation:

Add up the x coordinates and divide in half

(-1+9)/2 = 8/2 = 4

The x coordinate of the midpoint is x = 4

Repeat for the y coordinates

(4 + (-2))/2 = (4-2)/2 = 2/2 = 1

The y coordinate of the midpoint is y = 1

The midpoint is located at (x,y) = (4,1)

The midpoint of any diameter is the center of the circle. This is because all diameters go through the center.

The distance from the center to either endpoint represents the radius of the circle (aka half the diameter).

Answer:

1. divide 1.50 by 3 to get the unit cost of a yard

of ribbon. the ansvwer is .75.

2. you must multiply .75 by 5 to get 3.75 to find the cost of 5 ribbons

Step-by-step explanation:

final answer $30

Answer:

3/5

Step-by-step explanation:

Slope = rise/run = (4-1)(1- -4) = 3/5.

Answer:

If the family has $800 for sit-down restaurant meals and fast food and they budgeted all of it for fast food, then they can buy $800/$20 = 40 fast food meals.

Step-by-step explanation:

yw;)

Answer:

40

Step-by-step explanation:

No. Of Meal=Budget/price of Meal

=800/ 20

=40

Answer:

n= -1.2

Step-by-step explanation:

I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.

Answer:

nearest percentage=64%

Step-by-step explanation:

math

yeah it can be solution of linear equation !!

as the solution of linear equations in two variable are always in ( x , y ) form .

Answer:

Volume is 36 units

Step-by-step explanation:

Just multiply 3 units length, by 3 units width, by 4 units height.

Approximately 68.27% of the scores are between 485 and 515.

Since the distribution of scores is not known to be normal, we can use the empirical rule, also known as the 68-95-99.7 rule, to estimate the percentage of scores between 485 and 515.

According to the empirical rule, for a normal distribution:

Approximately 68.27% of the data falls within one standard deviation of the mean.

Approximately 95.45% of the data falls within two standard deviations of the mean.

Approximately 99.73% of the data falls within three standard deviations of the mean.

Given that the sample mean is 500 and the standard deviation is 15, we can consider the interval of one standard deviation on either side of the mean.

Lower bound: 500 - 15 = 485

Upper bound: 500 + 15 = 515

Therefore, approximately 68.27% of the scores are between 485 and 515.

Approximately 68.27% of the scores fall between 485 and 515 based on the assumption that the distribution is approximately normal using the empirical rule.

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Answer:

The statement that are correct; A, C and D.

For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.

A. The solution b = 21 is a true solution to the equation\(\sqrt{ (b + 4)} = 5\).  

Here, the solution b = 21 is a true solution to the equation.

C. The solution s = 1 is an extraneous solution to the equation \(\sqrt{(s) }= - 1\).

Here, the solution s = 1 is an extraneous solution to the equation .

D. The solution w = 8 an extraneous solution to the equation\(\sqrt (2w) = - 4 .\)

So, The solution w = 8 is an extraneous solution to the equation .

Therefore, the statement that are correct; A, C and D.

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The probability of getting 9 heads out of 15 coin flips is approximately 0.4000

Probability is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1. An event with probability 0 is impossible, while an event with probability 1 is certain. The probability of an event A is typically denoted as P(A), and it is calculated by dividing the number of outcomes that satisfy A by the total number of possible outcomes in the sample space.

The probability of getting 9 heads out of 15 coin flips is given by the binomial distribution formula:

P(X = 9) = (15 choose 9) × (0.5)⁹× (1 - 0.5)¹⁵⁻⁹

where "choose" represents the binomial coefficient, which calculates the number of ways to choose k items out of n, and is calculated as n!/(k!(n-k)!).

Evaluating this expression, we get:

P(X = 9) = (¹⁵C₉) × (0.5)⁹× (0.5)⁶

P(X = 9) = 5005×(0.5)¹⁵

P(X = 9) ≈ 0.438≈0.4

Therefore, the probability of getting 9 heads out of 15 coin flips is approximately 0.4000

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Answer:

0.1527

Step-by-step explanation:

The statement describes a set of interest in a study, which is the set of all elements being investigated or under consideration. It is not a sample, which refers to a subset of the population being studied.

The set of all elements of interest in a study is called the population. It refers to the entire group of individuals, objects, or measurements that are being studied and from which data can be collected. The population can be finite or infinite and can include people, animals, plants, materials, or any other object or concept of interest. In statistical analysis, researchers use samples of the population to make inferences or draw conclusions about the entire population. By selecting a representative sample, researchers can reduce the cost and time required for data collection and analysis while still obtaining valid and reliable results.

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Answer:

The rate change between these points is 3.

Step-by-step explanation:

Answer:

Rate of Change is 3

Step-by-step explanation:

The rate of change between two points is called the 'slope'.

x1-x2         -6-8          -14

____  =      ____  =   ___  = Divide  = 3

y1-y2      -20 - 22      -42

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the selling price of the computer notebook be represented by x.

Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.

Also, the saving she made by buying this week will be $150, therefore, we can write,

x-0.84x = $150

0.16x = $150

x = 937.5

Hence, the regular selling price of the computer notebook will be $937.5.

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Answer:

y = 30

x = 60

Step-by-step explanation:

4y and 2y are consecutive angles, which means they are equal to 180° when added together

that is the same with x and (5x - 180)

to solve, you set the equations to 180

solving:

4y + 2y = 180

6y = 180

y = 30

x + 5x - 180 = 180

6x = 360

x = 60

Answer:

n= -1.825

Step-by-step explanation:

9514 1404 393

Answer:

  55°

Step-by-step explanation:

130° is an external angle to the small triangle at lower left, so is the sum of the remote interior angles. The unmarked interior angle at the bottom of that triangle is then 130° -30 = 100°.

That is an exterior angle of the large triangle that has remote interior angles of 45° and x°. So, ...

  x° + 45° = 100°

  x° = 100° -45°

  x° = 55°

_____

Alternate solution

The sum of the interior angles of a quadrilateral is 360°. Three of the angles in the bounding quadrilateral are x°, 45°, 30°. The fourth is the reflex angle that is (360° -130°) = 230°. So, we have ...

  x° +45° +230° +30° = 360° . . . . . angles CCW from lower right

  x° = 360° -305°

  x° = 55°