A salesman priced a car at 3,500 the first day the second day he reduced the price by 10% what was the new price

Answer:

96

Step-by-step explanation:

hope this helps:)

The probability that the sum of the die rolls is odd is 1, which is equivalent to 100% (option a.)

To find the probability that the sum of the die rolls is odd, we need to consider the possible outcomes of the coin tosses and die rolls.

There are four possible outcomes for the coin tosses: HH, HT, TH, and TT.

For each head (H) that results, one fair die is rolled. The sum of the die rolls will be odd if there is an odd number of dice rolled.

Let's analyze each outcome:

1. HH: In this case, both coins show heads, so two dice will be rolled. The sum of the dice can only be even (2, 4, or 6). Probability = 0.

2. HT: One coin shows heads and the other shows tails. One die will be rolled. The sum of the die can be odd (1, 3, or 5) or even (2, 4, or 6). Probability of odd sum = 1/2.

3. TH: Similar to the previous case, one die will be rolled, and the sum can be odd or even. Probability of odd sum = 1/2.

4. TT: Both coins show tails, so no dice are rolled, and the sum is 0. Probability of odd sum = 0.

Now, let's calculate the overall probability of an odd sum:

Probability of HT = 1/2

Probability of TH = 1/2

Total probability of an odd sum = Probability of HT + Probability of TH = 1/2 + 1/2 = 1.

Therefore, the probability that the sum of the die rolls is odd is 1, which is equivalent to 100%.

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Complete Question:

Two fair coins are to be tossed once. for each head that results, one fair die is to be rolled. what is the probability that the sum of the die rolls is odd? (note that if no die is rolled, the sum is 0.)

\((a) $1 \\\\(b) $\frac{1}{2}$ \\\\(c) $\frac{43}{72}$ \\\\(d) $\frac{5}{8}$ \\\\(e) $\frac{2}{3}$\)

Answer:

(3x2−2)⋅(2x−3)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((6 • (x3)) -  32x2) -  4x) +  6

STEP

2

:

Equation at the end of step

2

:

 (((2•3x3) -  32x2) -  4x) +  6

STEP

3

:

Checking for a perfect cube

3.1    6x3-9x2-4x+6  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  6x3-9x2-4x+6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -4x+6

Group 2:  6x3-9x2

Pull out from each group separately :

Group 1:   (2x-3) • (-2)

Group 2:   (2x-3) • (3x2)

              -------------------

Add up the two groups :

              (2x-3)  •  (3x2-2)

Which is the desired factorization

Trying to factor as a Difference of Squares:

3.3      Factoring:  3x2-2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  3  is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

 (3x2 - 2) • (2x - 3)

Answer:

0.772

Step-by-step explanation:

0.24+ 0.532 =

Line up the decimals

  0.24

+ 0.532

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

0.772

Answer:

0.772

Hope this helps!

A matrix consisting entirely of zeros is called a zero matrix, or an all-zero matrix.

It is denoted with the symbol O and can be written in a matrix form, such as O = [0 0 0 0] where the number of columns and rows depends on the size of the matrix. A zero matrix is a matrix which has all its elements equal to zero. It has a number of special properties that make it useful in linear algebra. For instance, the sum of any two zero matrices is a zero matrix, and any scalar multiple of a zero matrix is a zero matrix. Additionally, the product of two zero matrices is a zero matrix, and the product of a zero matrix and an identity matrix is a zero matrix. These properties make it useful in solving systems of linear equations where all the coefficients are zero. Finally, the inverse of a zero matrix does not exist since its determinant is zero.

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The process for resolving linear equations and inequalities in two variables is the same.

What is a System of Equations?

A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model problems when the unknown values can be represented by variables.

Finding the values of the variables employed in a system of equations entails solving the set of equations. While keeping the equations balanced on both sides, we compute the values of the unknown variables. Finding the value of the variable that makes the condition of all the given equations true is the primary goal when solving an equation system.

According to the question:

An ordered pair that is true for the inequality assertion is the answer to a linear inequality in two variables. Let's say that the answer is an ordered pair (x, y) that satisfies the assertion if the linear inequality Ax + By > C has two variables, x and y.

Linear inequalities in two variables are sentences that contain the symbols "" (less than), ">" (greater than), "'" (less than or equal to), and "" (greater than or equal to).

Hence,

The process for resolving linear equations and inequalities in two variables is the same.

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Answer:

x=-32/5 or -6.4 in decimal form

Step-by-step explanation:

3= 5x+35

-5x=32

x=-32/5

The independent variable in the researcher's study is the number of errors made by participants in the simulated air-traffic-control task. The researcher examined how this variable was influenced by the presence or absence of quiet background music.

In the study conducted by the researcher, the independent variable is the number of errors made by participants. The researcher investigated the impact of this variable on participants' performance in a simulated air-traffic-control task.

The independent variable represents the condition or factor that is intentionally manipulated or varied by the researcher. In this case, the researcher manipulated the presence or absence of quiet background music to observe its effect on the number of errors made by participants.

By manipulating the independent variable (number of errors), the researcher aimed to analyze its influence on participants' performance. The independent variable allows the researcher to explore potential cause-and-effect relationships between the experimental conditions and the observed outcomes.

It is important to note that the independent variable is not affected by other variables in the study. It is controlled by the researcher to examine its impact on the dependent variable, which is the variable being measured or observed as an outcome of the study.

In summary, the independent variable in the researcher's study is the number of errors made by participants in the simulated air-traffic-control task. The researcher examined how this variable was influenced by the presence or absence of quiet background music.

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Answer:

the amount that he would make in a week is $576.00

Step-by-step explanation:

14.40 * 40                                                                4*0=0

0*0=0                                                                       4*4=16

0*4=0                                                                        4*4+1=17

add the decimal                                                       4*1+1=5

0*4=0

0*1=0                                                                            Then you add and you

then you move on to the tens digit                            get a total of $576.00

Answer: b.) 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The absolute value is always positive and 18-4 =14

Answer:

10. 535

Step-by-step explanation:

Answer:

its decreases as x goes to ∞

increases as x goes to -∞

Step-by-step explanation:

if we look at the x line (horizontal line) we see that it asks where the x goes if it decreasing and increasing so the point on the line when increasing is going negative because the x side is negative when looking at it as a increasing way, and when decreasing the x is turning positive! you may be confused with what i just said but ill include a photo on how to do it! hopefully u finna whip dis ho3

A unit of measurement which is equal to one thousands meters is known as one kilometers.

Therefore, the given units of measurement equal to one thousand meters is called one - kilometers.

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The probability of picking a red counter from Box B is 5/8 or 0.625.

To calculate the probability of picking a red counter from Box B, we need to consider the number of red and blue counters in Box B after a red counter from Box A has been transferred.

Initially, Box B had 9 red counters and 6 blue counters. When a red counter from Box A is added to Box B, the total number of red counters in Box B becomes 9 + 1 = 10. The number of blue counters remains the same at 6.

Therefore, the probability of picking a red counter from Box B is determined by the ratio of red counters to the total number of counters in Box B. The total number of counters in Box B after the transfer is 10 (red) + 6 (blue) = 16.

Hence, the probability of picking a red counter from Box B can be calculated as 10 (number of red counters) divided by 16 (total number of counters), which simplifies to 10/16. This can be further reduced to 5/8.

Therefore, the probability of picking a red counter from Box B is 5/8 or 0.625.

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Given the expression:

To factor the given expression, we need two numbers the product of them = 100 and the sum of them = 20

We will factor the number 100

100 = 1 x 100 ⇒ 1 + 100 = 101

100 = 2 x 50 ⇒ 2 + 50 = 52

100 = 4 x 25 ⇒ 4 + 25 = 29

100 = 5 x 20 ⇒ 5 + 20 = 25

100 = 10 x 10 ⇒ 10 + 10 = 20

So, the suitable numbers are 10, 10

so, the factorization will be as follows:

The given expression is a complete square.

So, the answer will be (u+10)(u+10)

Or can be written as (u+10)²

Step 1

Given;

Required; How many ounces of water do 9 bottles hold?

Step 2

To do this we will use the ratio;

Answer;

To determine the maximum and minimum of a function, you need to find the critical points and endpoints, evaluate the function at these points, and compare the values.

The highest value represents the maximum, while the lowest value represents the minimum.

To determine the maximum and minimum of a function, follow these steps:

Find the critical points of the function by finding where its derivative equals zero or is undefined.

Determine the endpoints of the interval you are considering, if applicable.

Analyze the function at its starting and ending locations.

The highest value represents the maximum, and the lowest value represents the minimum.

Let's consider an example using the function f(x) = x^2 - 4x + 3 over the interval [0, 5].

Find the critical points:

Take the derivative of the function: f'(x) = 2x - 4.

Set the derivative equal to zero: 2x - 4 = 0.

Solve for x: 2x = 4,

x = 2.

The critical point is x = 2.

Determine the endpoints:

In this case, the endpoints of the interval are x = 0 and x = 5.

Evaluate the function:

Calculate f(0) = (0)^2 - 4(0) + 3

= 3.

Calculate f(2) = (2)^2 - 4(2) + 3

= -1.

Calculate f(5) = (5)^2 - 4(5) + 3

= -7.

Determine the maximum and minimum:

The highest value is 3, which occurs at x = 0. Therefore, the maximum value is 3.

The lowest value is -7, which occurs at x = 5. Therefore, the minimum value is -7.

To determine the maximum and minimum of a function, you need to find the critical points and endpoints, evaluate the function at these points, and compare the values. The highest value represents the maximum, while the lowest value represents the minimum. It is important to consider the given interval to ensure that the maximum and minimum values are within the specified range.

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The yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

Yield to maturity (YTM) is the total return anticipated on a bond or other fixed-interest security if the security is held until it matures. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In this problem, the present value (PV) of the simple loan is $1,500, the future value (FV) is $7,500, the time to maturity is five years, and the interest rate is the yield to maturity (YTM).

Now we will calculate the yield to maturity (YTM) using the formula for the future value of a lump sum:

FV = PV(1 + YTM)n,

where,

FV is the future value,

PV is the present value,

YTM is the yield to maturity, and

n is the number of periods.

Plugging in the given values, we get:

$7,500 = $1,500(1 + YTM)5

Simplifying this equation, we get:

5 = (1 + YTM)5/1,500

Multiplying both sides by 1,500 and taking the fifth root, we get:

1 + YTM = (5/1,500)1/5

Adding -1 to both sides, we get:

YTM = (5/1,500)1/5 - 1

Calculating this value, we get:

YTM = 0.3714 or 37.14%

Therefore, the yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

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To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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Answer:

c≥47

Step-by-step explanation:

120+20=140

140/3≈46.667

46.667≈47

Ther can be no less than 47 cupcakes

Answer:

Short leg = 10

Longer leg = 10\(\sqrt{3}\)

Hypotenuse = 20

Step-by-step explanation:

The given is a special right triangle, its angle measures are as follows:

30-60-90 and the side lengths will follow as:

x, x\(\sqrt{3}\), 2x respectively.

The length of hypotenuse (sees angle measure 90) is represented with 2x and it's given as 20

We can conclude x = 10 from this

So the length of short leg is 10

Then the length of longer leg is 10\(\sqrt{3}\)

The length of hypotenuse is already given as 20

Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

1. You need the same denominator to subtract

2. You can do this by picking the least common multiple of both denominators or multiplying the denominators by each other. In this case, the LCM (least common multiple) and multiply 4*3 or 3*4 is the same thing: 12.

3. But, what you do to the denominator, you do to the numerator:

\(\frac{2*4=8}{3*4=12} \\\\\frac{2*3=6}{4*3=12}\)      This leaves the fractions as \(\frac{8}{12} -\frac{6}{12} =\frac{2}{12}\).

4. When you subtract fractions, you don't subtract the denominator.

5. You can simplify this fraction by dividing the numerator and denominator by 6: \(\frac{2/2}{12/2} =\frac{1}{6}\)

This scene is an example of dramatic irony used to create suspense since the audience knows that this joyous occasion will ultimately lead to tragedy.

In the scene, Lord Capulet is preparing for his daughter Juliet's wedding to Paris, while the audience knows that Juliet is already secretly married to Romeo. Lord Capulet's excitement and eagerness to prepare for the wedding create suspense and tension for the audience, who knows that this joyous occasion will ultimately lead to tragedy.

Furthermore, the use of music within the scene also adds to the suspense. The audience hears the music, which signifies the arrival of the wedding party, but also knows that this will lead to the revelation of Juliet's secret marriage.

The urgency in Lord Capulet's instructions to the Nurse to wake up Juliet and make haste heightens the tension for the audience, who are aware of the impending disaster.

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Complete Question:

Read the excerpt from Act IV, scene iii of Romeo and Juliet.

Capulet Good faith! this day:

The county will be here with music straight,

For so he said he would. [Music within.] I hear him near.

35

This scene is an example of dramatic irony used to create suspense since the audience knows that

Answer:

D

Step-by-step explanation:

Tan graphs are a bit different to sin and cos graphs: they don't have an amplitude.

If you look at a tan graph, it exists between assymptotes and has no maximum or minimum value. In this case, the 2.5 acts similar to a dilation factor and makes the graph skinnier or wider.

You were right about the period: it is just pi, not 2 pi like sin and cos. Again, if you look at the graph, the assymptotes occur every period, which is only pi.

Hope that helped : )

Answer:

A. 37.

Step-by-step explanation:

In B, that is making a withdrawal.

In C, because of the *||*s around it, this means that the number inside of those lines will always be positive. But the negative is outside of the lines so it is still negative.

In D, you might think that the |-37| cancels out the - on the outside. But like I said, those lines mean that anything inside of the lines will always be positive. Meaning that the |-37| inside just becomes |37| and still turns negative because of the - on the outside.

Hope this helped, the detailed explanation took a minute! :D

Answer:

When a number is written using a whole number plus a portion of one, with the portion separated from the whole number by a dot, is called a mixed fraction.

Step-by-step explanation:

A fraction is a number that is obtained by dividing an integer into equal parts and is expressed as:

\(\frac{numerator}{denominator}\)

An improper fraction is a fraction in which the numerator, that is, the top number, is greater than or equal to the denominator, that is, the bottom number.  In contrast, in proper fractions, the numerator is less than the denominator.

Improper fractions can be represented as mixed fractions. A mixed fraction represents a whole number and a proper fraction, in other words, it corresponds to the sum of a whole part plus a fractional part.   In summary, mixed fractions are made up of an integer part and a fractional part.

So, when a number is written using a whole number plus a portion of one, with the portion separated from the whole number by a dot, is called a mixed fraction.

Considering the vertex of the quadratic function at point (6,-2), it is found that:

a) The meaning is that the turning point of the function is at point (6,-2).

b) If the parabola is concave down, then the vertex is a maximum. If the parabola is concave up, then it is a minimum.

c) If the parabola is concave down, then f(2) = f(10) < f(6). If the parabola is concave up, then f(2) = f(10) > f(6).

d) f(2) = f(10).

A quadratic equation is defined by the rule presented as follows:

y = ax² + bx + c.

The vertex can represent either a maximum point or a minimum point, depending on the coefficient a, as follows:

The vertex is also the turning point of the graph of the parabola.

In this problem, the coordinates of the vertex are (6,-2), hence:

When two points are equidistant from the vertex, they have the same numeric value, hence:

f(2) = f(6).

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Answer:

$40-$15= $25 Rania has $25 dollars left

Step-by-step explanation:

Since Rania earned $40 for her birthday and then she spent $15 dollars at the movies, that means that 40-15=25 so she has 25 dollars left.