For each of the figures write an absolute value equation to satisfy the given solution set.

Pls don't show your work, just solve it.

Answer:

6x - y = 4

Step-by-step explanation:

y = 6x -4

y - 6x = -4

-6x + y =-4

Answer: 6x - y = 4

Hope this helps!

The number of total different values of the binomial experiment variable X is given by = 6.

Hence the correct option is (d).

Here the experiment is an example of Binomial experiment.

And the number of trials in this experiment is given by = 5.

So, the value of parameter, n = 5.

So the different values of the binomial distribution variable X can be given by = {0, 1, 2, 3, 4, 5}

So the number of total different values of the binomial distribution variable X is given by = 6.

Hence the correct option will be given by (d).

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Answer:

1/ Heidi earned $61.20 in commission

2/ The jewelry store makes $618.80 from hers sales

Step-by-step explanation:

9% = 0.09

First, take 680 times 0.09 = $61.20

Heidi earned $61.20 in commission

For the second question

Take 680 - 61.20 = $618.8

The jewelry store makes $618.80 from its sales

Uniform distribution best describes the given shape of the distribution.

The uniform distribution is a probability distribution that has the same probability of occurrence across a defined interval. It is also sometimes referred to as a rectangular distribution or a flat distribution.

The uniform distribution is defined by two parameters, a and b, which represent the lower and upper bounds of the interval. For example, if a uniform distribution is defined between 0 and 1, the probability of any number between 0 and 1 occurring is equal and the same.

The uniform distribution has several properties, including:

The mean of the distribution is equal to the midpoint of the interval, (a + b) / 2.

The variance of the distribution is equal to (b - a)² / 12.

The distribution is symmetrical, meaning that it is equally likely for any value within the interval to occur.

Applications of the uniform distribution include modelling random processes such as coin flips, die rolls, and random sampling. It is also often used as a prior distribution in Bayesian statistics.

Hence, the correct answer is A.

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--The given question is incorrect; the correct question is

"Which BEST describes the shape of the distribution?

A) uniform

B) skewed right

C) skewed left

D) roughly symmetrical"--

Answer

look ate image i just send u that´s the answer on the pice of paper

Step-by-step explanation:

The equation of the parabola is given by y=x²+19

A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.

Given here: In t=1 sec the football's height was 20 feet and for t=4 the height of the football was 35 feet.

Let the path of the football be a parabola and facing downward.

Thus the equation of the parabola must be y=-4ax²+c

But the parabola passes through the points (1,20) and (4,35)

Thus substituting the points on the equation of the parabola we get

20=-4×1²×a+c & 35=-4×4²a+c

20=-4a+c &35=-64a+c

Solving for a we get

          a=-1/4

Thus c=19

∴The equation of the parabola is given by

y=x²+19

Hence, The equation of the parabola is given by y=x²+19

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Answer:

Salary of state A's governor = $170,465

Salary of state B's governor = $118,145

Step-by-step explanation:

We will need a system of equations to find the salaries of each governor.

Let A represent the salary of state A's governor and B represent the salary of state B's governor.

Step 1:  Write an equation showing that state A's governor's salary is $52320 higher than state B's governor:

Since the governor of state A earns $52320 more than the governor of state B, we can model this with the equation:

A  = B + 52320

Step 2:  Write an equations showing that the sum of the two governor's salaries is $288610:

The equation modeling the sum of the governor's salaries is given by:

A + B = 288610

Step 3:  Plug in A = B + 52320 for A in A + B = 288610 to solve for B:

Now, we can plug in A = B + 52320 for A in A + B = 288610 to solve for B:

B + 52320 + B = 288610

Combining like terms gives us:

2B + 52320 = 288610

Subtracting 52320 from both sides gives us:

2B = 236290

Dividing both sides by 2 gives us:

B = 118145

Step 4:  Find A, the salary of state A's governor:

We can plug in 118145 for B in A + B = 288610 to find A, the salary of state A's governor:

A + 118145 = 288610

Subtracting 118145 from both sides gives us:

A = 170465

Thus, the salary of state A's governor is $170,465 and the salary of state B's governor is $118,145.

The estimated number of bacteria present in the culture after 5 hours as per exponential growth is equal to 5,240.

Initial population size (N₀) = 500 bacteria

Population size after 1 hour (N) = 800 bacteria

let us consider,

N₀ is the initial population size,

N is the population size at a given time,

k is the growth rate constant,

t is the time in hours,

e is the base of the natural logarithm (approximately 2.71828).

To determine the number of bacteria present in the culture after 5 hours,

Use the exponential growth formula for uninhibited growth,

N = N₀ × \(e^{(kt)\)

To find the growth rate constant (k), rearrange the formula as follows,

⇒k = ln(N / N₀) / t

⇒k = ln(800 / 500) / 1

⇒k = ln(1.6)

Using a calculator, we find that k ≈ 0.470

Now, use the growth formula to calculate the population size after 5 hours,

N = N₀ × \(e^{(kt)\)

N = 500 ×\(e^{(0.470 \times 5)\)

N = 500 × \(e^{2.35\)

Using a calculator, we find that \(e^{2.35\) ≈ 10.48

⇒N ≈ 500 × 10.48

⇒N ≈ 5240

Therefore, it is estimated that there will be approximately 5,240 bacteria present in the culture after 5 hours using exponential growth .

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The height of the cone that has a volume of 100 cubic inches is calculated to the nearest tenth as: h ≈ 6.0 in.

To find the height of the cone, recall he formula for finding the volume of a cone which is expressed as:

Volume (V) = 1/3πr²h

Given the following:

Volume = 100 in.³

Radius (r) = 8/2 = 4 in.

Plug in the values:

100 = 1/3 * 3.14 * 4² * h

100 = 16.7 * h

Divide both sides by 16.7

100/16.7 = h [Division property of equality][

h ≈ 6.0 in.

The height is approximately 6.0 inches.

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Given expression:  \(\frac{9x^2 - 1}{12x^2 - 12x} \div \frac{9x^2 + 12x + 3}{3x^2 - 6x + 3}\) . We can simplify the given expression by multiplying the numerator and denominator of the first fraction by (3x-1) and then factorise. So, the simplified expression is \($\frac{3(x-1)^2}{4x(3x+1)(x+1)}$\).

In the second fraction, we can factorise the quadratic expression in the numerator.

=  \(\frac{9x^2 - 1}{12x^2 - 12x} \cdot \frac{3x^2 - 6x + 3}{9x^2 + 12x + 3}\)

= \(\frac{(3x-1)(3x+1)}{12x(x-1)} \cdot \frac{3(x^2 - 2x + 1)}{3(3x^2 + 4x + 1)}\)

Simplify the expression.

= \(\frac{(3x-1)(x-1)}{4x(x-1)} \cdot \frac{(x-1)^2}{(3x+1)(x+1)}\)

= \(\frac{3(x-1)}{4x} \cdot \frac{(x-1)}{(3x+1)(x+1)}\)

= \(\frac{3(x-1)^2}{4x(3x+1)(x+1)}\) . Thus, the simplified expression is \($\frac{3(x-1)^2}{4x(3x+1)(x+1)}$\).

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Answer:

ad=DC is your answer.....

By applying the graphical approach, the solution of the nonlinear system that lies in the third quadrant of the Cartesian plane is the point (x, y) = (- 2, -5).

The first equation corresponds to an ellipse whose major axis is vertical and the second equation is another ellipse with similar characteristics. There are two manners to determine the solution of the given system: (i) Analytical, (ii) Graphical.

In this situation we decide to use a graphical approach, which consists in plotting each function on a Cartesian plane. We use a graphing tool herein.

Please notice that the third quadrant of the Cartesian plane is the region of the plane such that x < 0 and y < 0. The solution of the nonlinear system that lies in the third quadrant is (x, y) = (- 2, -5).

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Answer:

Quadrant III: (-2,-5)

Quadrant IV: (2,-5)

Step-by-step explanation:

Graphed the equations as a system and then found the points that intersect on the graph of each quadrant + was marked correct on APEX

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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The perimeter of the polygon is 14 units

The points are given as:

A(3, 4)

B(3, 1)

C(7,1)

D(7, 4)

Calculate the distance between adjacent points using:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}\)

So, we have:

\(AB = \sqrt{(3 -3)^2 + (4-1)^2} = 3\)

\(BC = \sqrt{(3 -7)^2 + (1-1)^2} = 4\)

\(CD = \sqrt{(7 -7)^2 + (1-4)^2} = 3\)

\(DA = \sqrt{(7 -3)^2 + (4-4)^2} = 4\)

The perimeter is then calculated as:

P = AB + BC + CD + DA

This gives

P = 3 + 4 + 3 + 4

Evaluate

P = 14

Hence, the perimeter of the polygon is 14 units

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A well-done survey allows a researcher to gain valuable insight into a

population's characteristics.

Correct response:

A survey is a tool used to gain knowledge or gather information with

regards to demography or as part of a social research.

By using a survey, the thoughts, feelings, inclinations, opinions, and

desires of the respondents can be assessed.

To reduce survey bias, a well-done surveys, therefore, consists a subset

that is representative of the entire group or can be composed of a sample

that is randomly selected from the population.

Therefore;

The correct option is therefore;

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SAS

Side with 8 units is common

angle 25 is common

Side with 2 units is common

Answer:

N greater than or equal to -12

Step-by-step explanation:

N-8 greater than or equal to -4

N greater than or equal to -4-8

N greater than or equal to -12

Answer:

Pisces

Step-by-step explanation:

you are well known for your intuitive, self-sacrificing and sensitive personality. At times you may feel psychic, but this is only because of your innate ability to sense the moods and thoughts of others.

Answer:

Step-by-step explanation:

March 4 Zodiac is Pisces - Full Horoscope Personality Being a Pisces born on March 4th, you believe in hidden meanings and hope your behaviour is going to help you in life by gathering good karma around you. At times, your behaviour is dominant but generally you are a romantic and a genuinely loyal person.

Answer:

$7.03

Step-by-step explanation:

Answer: The answer would be A or $1

Step-by-step explanation:

$9 x 3 = $27 adult Wilson tickets          $9 x 2 = $18 adult Jackson tickets

$5 x 4 = $20 student Wilson tickets     $5 x 6 = $30 student Jackson tickets

$20 + $27 = $47 Wilson tickets            $18 + $30 = $48 Jackson tickets

                                          $48 - $47 = $1

Answer:

a. $1

Step-by-step explanation:

To find the difference, calculate how much each family spent on tickets and then subtract the lower number from the higher number. I’ll start with the Wilson’s.

First, multiply the cost of the tickets by how many they bought.

$9*3 adult tickets=$27

$5*4 student tickets=$20

Then, add the values together to find the total cost.

$27+$20=$47

Now, let’s do the same for the Jackson’s.

$9*2 adult tickets=$18

$5*6 student tickets=$30

$18+$30=$48

Finally, subtract the Jackson’s total cost from the Wilson’s.

$48-$47=$1

The difference is $1.

Hello !

An infinity value is generated for an operation whose result is less than the smallest numeric value.

it's true!

Answer:

The answer is -4.

(it deleted my answer)

Answer:

A. -4

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

add 6 to both sides:

8+6 = 6-6+x

14 = x

x = 14

The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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The single equivalent discount is \(43\)%

Let's figure out the final price after two discounts on the marked price that come in succession.

Price after first discount =\({100-(100\)×\(40/100)} = (100-40) = Rs. 60\)

Price after second discount \(= {60-(60\)×\(5/100)} = Rs. 57\)

Difference between the final price and the initial price \(= (100-57) = Rs. 43\)

Single equivalent discount\(= (100\) × Total discount amount / Initial price) = \(100\)× \(43/100 = 43%\)

Hence, the single equivalent discount is \(43%\)%.

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Answer: 0.85 kilograms

Step-by-step explanation:

The coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)

The given parameters are

Number of pen = 2

Unit price = $2

This means that the total amount spent is

Total amount = Number of pen * Unit price

Evaluate the product

Total amount = 2 * 2

Evaluate the product

Total amount = 4

So, the coordinate of the point that represents the number of pens that Keisha buys and the total cost is (2, 4)

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Solving a simple linear equation we can see that the value of b is 7.

Here we have the point (5, b - 7) and we want to find the value of b such that the point lies on the x-axis.

Remember that a point lies on the x-axis only if the y-value is zero, so we need to solve the linear equation:

b - 7 = 0

Adding 7 in both sides we get:

b - 7+ 7 = 0 + 7

b = 7

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A term in math can be a single number (positive or negative), a single variable (letter) or several variables multiplied but never added or subtracted.

Then, in this case the expression has 3 terms.

Answer:

Option B

Step-by-step explanation:

2(x - 2) < x + 2

Distribute;

2x - 4 < x + 2

Subtract x from both sides;

x - 4 < 2

Add 4 to both sides;

x < 6

The true statement is The inequality is only true for numbers less than 6

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age≤ 12. This is a real-world example of an inequality.

Given:

2(x - 2) < x + 2

Now solving the inequality

2(x - 2) < x + 2

2x-4 < x+2

2x-x < 2+4

x<6

Hence, The inequality is only true for numbers less than 6.

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