Find P(5.5 ≤ X ≤ 7.5) where x is normally distributed with mean μ = 2.6 and standard deviation σ = 2.2

The required quotient of the expression 16x⁻² - 8x⁻² - 2x⁻² divided by 2x is 4x⁻³ - x⁻¹⁰.

Arithmetic involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.

Here,
To simplify the given expression, we can start by factoring out the common factor of 2x from the numerator. This gives:

(16x⁻² - 8x⁻² - 2x⁻⁹) / 2x

Next, we can simplify the terms in the numerator by combining the like terms:

= (4x⁻² - x⁻⁹) / x

= 4x⁻²⁻¹ - x⁻⁹⁻¹
= 4x⁻³ - x⁻¹⁰

= 4x⁻³ - x⁻¹⁰

Therefore, the quotient of the expression 16x⁻² - 8x⁻² - 2x⁻² divided by 2x is 4x⁻³ - x⁻¹⁰.

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We can write the diameter and circumference of the base as -

D = 2√(750ρ/πh)

C = 2π√(750ρ/πh)

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

Mathematically, we can write,

y = f(x) = ax + b.

Given is to find the diameter and height of the tin can.

Assume the density of coffee as {ρ}. We can write the volume of the tin can as -

Volume = mass x density

Volume = 750ρ

We can write -

πr²h = 750ρ

r = √(750ρ/πh)

D = 2r

D = 2√(750ρ/πh)

Now, we can write the circumference as -

C = 2πr

C = 2π√(750ρ/πh)

Therefore, we can write the diameter and circumference of the base as -

D = 2√(750ρ/πh)

C = 2π√(750ρ/πh)

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Answer:

52 - 13 = 39 so p = 39

Step-by-step explanation:

Answer:

P=25

Step-by-step explanation:

180=52+90+p+30

180=155+P

180-155=p

p=25

Answer:

Fill in each blank with ONE word to create a sentence to explain slope in the context of this problem: The amount of [dependent variable] is [changing] at a rate of [slope] [units of dependent variable] per [unit of independent variable].

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

[tex]\sqrt{x-45} =\sqrt{x-3} \\(\sqrt{x-45} )^2=(\sqrt{x-3} )^2\\x-45 = x-3\\x-x = 45-3\\0 = 42\\[/tex]

Answer:

0

Step-by-step explanation:

for x x^2+x-6=-4. x2+x−6=−4 x 2 + x - 6 = - 4. Step 1. Add 4 4 to both sides of the equation. x2+x−6+4=0 x 2 + x - 6 + 4 = 0.

(hope it helps!)

Answer: (a) Since the time to get the order follows a uniform distribution between 19 to 35 minutes, the probability of getting the order in any interval of time within this range is proportional to the length of that interval. Therefore, the probability of taking at least 23 minutes to get the order is:

P(X ≥ 23) = (35 - 23) / (35 - 19) = 0.4

Rounding to 4 decimal places, the probability is:

P(X ≥ 23) ≈ 0.4000

(b) If you arrive at Tim Horton's at 7:30am and your friends show up at 8:00am, you have 30 minutes to receive your order. Since the time to get the order follows a uniform distribution, the probability of receiving the order before your friends show up is the probability of getting the order in 30 minutes or less, which is:

P(X ≤ 30) = (30 - 19) / (35 - 19) = 0.5789

Rounding to 4 decimal places, the probability is:

P(X ≤ 30) ≈ 0.5789

(c) Let's call the time in minutes to get the order that is longer than 10% of the time as t. Since the distribution is uniform, we know that the probability of taking longer than t minutes is 0.1. Therefore, we can write:

(35 - t) / (35 - 19) = 0.1

Solving for t, we get:

t = 19 + 0.9(35 - 19) = 32.4

Rounding to 2 decimal places, we get:

t ≈ 32.40 minutes

Therefore, 10% of the time it takes longer than 32.40 minutes to get the order.

Step-by-step explanation:

We can infer that the function y = 2 + log2(x - 1) has the following final behaviour:

A function is a relationship between a number of inputs and outputs. Simply described, a function is an association between inputs in which each input is coupled to exactly one output. There is a range, codomain, and domain for every function. A function is typically referred to as f(x), where x is the input. Y = f is a common way to represent a function (x).

A function in mathematics is a certain configuration of the inputs (also known as the domain) and their outputs (also known as the codomain), where each input has precisely one output and the output can be connected to its input.

from the question;

We may look at what happens to the function as x gets closer to positive and negative infinity to figure out the final behaviour of the function

y = 2 + log2(x - 1).

The formulas (x - 1) and log2(x - 1) also approach infinity as x gets closer to positive infinity. As a result, y increases as x moves closer to positive infinity. The following can be written:

lim x→∞ 2 + log2(x - 1) = ∞

Expression (x - 1) moves closer to zero and log2(x - 1) moves closer to negative infinity as x moves towards 1 from the right. So, as x moves closer to 1 from the right, y moves closer to negative infinity. The following can be written:

lim x→1+ 2 + log2(x - 1) = -∞

This leads us to the following conclusion about the final behaviour of the function y = 2 + log2(x - 1):

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Answer:

points cuzo

but if i find it out i will edit

Step-by-step explanation:

Therefore, the height range that encompasses 99.7% of adolescent women is roughly between 55.9 and 68.1 inches.

It reveals the average deviation of each number from the norm. When it comes to normally distributed, a large standard deviation denotes that values are typically out of the mean, whereas a smaller standard deviation denotes that values are grouped closely around the mean.

The 68-95-99.7 rule is a way to remember the percentage of data that falls within certain numbers of standard deviations from the mean in a normal distribution. Specifically:

Using this rule, we can answer the following questions:

About 68% of young women have heights within 1 standard deviation of the mean. Therefore, we can find the range of heights that includes this percentage by adding and subtracting 1 standard deviation from the mean:

64 inches ± 2.7 inches

So the range of heights that includes about 68% of young women is approximately 61.3 inches to 66.7 inches.

    2. What is the range of heights that includes about 95% of young women?

About 95% of young women have heights within 2 standard deviations of the mean. Therefore, we can find the range of heights that includes this percentage by adding and subtracting 2 standard deviations from the mean:

64 inches ± 2(2.7 inches)

So the range of heights that includes about 95% of young women is approximately 58.6 inches to 69.4 inches.

     3. What is the range of heights that includes about 99.7% of young women?

About 99.7% of young women have heights within 3 standard deviations of the mean. Therefore, we can find the range of heights that includes this percentage by adding and subtracting 3 standard deviations from the mean:

64 inches ± 3(2.7 inches)

So the range of heights that includes about 99.7% of young women is approximately 55.9 inches to 68.1 inches.

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Answer:

We can start the problem by using the formula for the area of a rectangle:

Area = length x width

The total area of the pool and the walkway is given as 360 square feet. Let's assume that the width of the walkway is w feet. Then, the dimensions of the entire area can be represented as (8 + 2w) by (10 + 2w) feet, since there is an additional width of w feet on both sides of the pool. Therefore, we can set up the equation:

(8 + 2w) x (10 + 2w) = 360

Expanding the left side and simplifying, we get:

4w^2 + 36w - 80 = 0

We can solve for w using the quadratic formula:

w = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 4, b = 36, and c = -80. Substituting these values into the formula, we get:

w = (-36 ± sqrt(36^2 - 4(4)(-80))) / 8

w = (-36 ± sqrt(1872)) / 8

w ≈ -5.6 or w ≈ 3.6

Since the width cannot be negative, we can discard the first solution. Therefore, the width of the walkway should be approximately 3.6 feet.

Step-by-step explanation:

Answer:

We can start the problem by using the formula for the area of a rectangle:Area = length x widthThe total area of the pool and the walkway is given as 360 square feet. Let's assume that the width of the walkway is w feet. Then, the dimensions of the entire area can be represented as (8 + 2w) by (10 + 2w) feet, since there is an additional width of w feet on both sides of the pool. Therefore, we can set up the equation:(8 + 2w) x (10 + 2w) = 360 Expanding the left side and simplifying, we get:4w^2 + 36w - 80 = 0We can solve for w using the quadratic formula:w = (-b ± sqrt(b^2 - 4ac)) / 2aIn this case, a = 4, b = 36, and c = -80. Substituting these values into the formula, we get:w = (-36 ± sqrt(36^2 - 4(4)(-80))) / 8w = (-36 ± sqrt(1872)) / 8w ≈ -5.6 or w ≈ 3.6Since the width cannot be negative, we can discard the first solution. Therefore, the width of the walkway should be approximately 3.6 feet.

Step-by-step explanation:

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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Angles 1 = 2 = 3 = 98° and 4 = 82° are measured.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection. The image serves as a right angle indicator. The angle formed when two chords cross paths inside of a circle is equal to half the sum of the chords' intercepted arcs. Hence, m1 = 50° and m2 = 130°.

The other angle measurements can be calculated using the diagram as follows:

∠1: ∠1 is a vertical angle to ∠2, so it is also 98°.

∠3: ∠3 is a corresponding angle to ∠2, so it is also 98°.

∠4: ∠4 and ∠2 form a straight angle, which means they add up to 180°. Therefore, ∠4 = 180° - ∠2 = 180° - 98° = 82°.

So, the angle measures are:

∠1 = ∠2 = ∠3 = 98°

∠4 = 82°

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Answer:

To write 2x(x+4) in standard form, we need to expand the product and simplify:

2x(x+4) = 2x^2 + 8x

Therefore, the standard form of 2x(x+4) is 2x^2 + 8x.

Step-by-step explanation:

By answering the above question, we may state that As a result, in 2006, equation Mexico's population was expanding at a pace of around 2.708 million people each year.

When two assertions are connected by a mathematical equation, the equals symbol (=) is used to denote equality. In algebra, a mathematical statement that establishes the equivalence of two mathematical expressions is referred to as an equation. In the equation 3x + 5 = 14, for instance, the equal sign places a space between the integers 3x + 5 and 14. To comprehend the connection between the two phrases written on the opposing sides of a letter, utilise a mathematical formula. Frequently, the logo and the specific piece of software are the same. as in, for instance, 2x - 4 = 2.

We must enter t = 2006 - 1900 = 106 into the population model and do the following calculations to get the population of Mexico in 2006:

p(106) = 8.028e (0.025 * 106) million individuals

108.191 million individuals, or p(106) (rounded to three decimal places)

Finding the derivative of the population model with respect to time t will allow us to determine how quickly Mexico's population was rising in 2006:

Each year, p'(t) = 0.025 * 8.028e(0.025t) million individuals.

We may then calculate the derivative at time t = 106 as follows:

P'(106) = 0.025 * 8.028e(0.025*106) million individuals annually P'(106) 2.708 million individuals annually (rounded to three decimal places)

As a result, in 2006, Mexico's population was expanding at a pace of around 2.708 million people each year.

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Option (B): The ordinal level of measurement is most appropriate because the data can be ordered, but differences cannot be found or are meaningless.

What are the levels of measurement?

You may find out how accurately variables are recorded using levels of measurement, also known as scales of measurement. A variable in scientific research is anything that can have several values depending on the data collection.

Four levels of measuring exist:

You might only be able to perform a limited amount of data analysis depending on the level of measurement of the variable. From low (nominal) to high, there is a hierarchy in the complexity and precision of the level of measurement (ratio).

We have to find the appropriate level of measurement for the data course grades from A to F.

Here there is an order for ranking. This is because A is the highest grade followed by B, C, D, E and F respectively.

So nominal level of measurement is out of the question.

Now, there are no numerical values associated with the grades. We have no means to find the difference between the two grades.

Therefore the most appropriate level of measurement for Course grades from A to F is,

Option (B): The ordinal level of measurement is most appropriate because the data can be ordered, but differences cannot be found or are meaningless.

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your given information is important because your first piece of info is the y intercept. The y intercept can be interpreted as (0,2). this is your initial point.

once you have that point, you can then use the slope to finish off your linear function. the slope is rise/run.

this means that you have to travel in the y direction, which is your rise. this means you have to go either in the positive or negative, depending on the number. in this case, it's -6, so we would go down 6.

then we would run 5 units in the x direction and same like the x it would be depending on the number being positive or negative. since we have a +5 it means we have to move 5 units to the right should have a graph that looks like a (\).

hope it helps.

Answer: [3, 2.5]

Step-by-step explanation:

The volume of the right cone below is 1152π/3 cubic units then the value of x is 24.

The volume of a right circular cone is given by the formula:

V = (1/3)πr²h

where π is pi (approximately equal to 3.14), r is the radius of the circular base, and h is the height of the cone.

In this problem, we are given that the volume of the cone is 1152π/3 cubic units and that the value of x is related to the radius and height of the cone.

Let's first write the formula for the volume of the cone in terms of x:

V = (1/3)π(x/3)²(x/3)

Simplifying this expression, we get:

V = (1/27)πx²

We are given that V = 1152π/3, so we can substitute this into the formula above and solve for x:

1152π/3 = (1/27)πx³

Multiplying both sides by 27/π, we get:

x³ = 1152*27/3

x³ = 27648

Taking the cube root of both sides, we get:

x = 24

Therefore, the value of x is 24.

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The missing side length on the figure is 9 yards

From the question, we have the following parameters that can be used in our computation:

The figure

The missing length on the figure is represented with ?

Using the above as a guide, we have the following equation

? + 7 = 16

Evaluate

? = 9

Hence, the missing side length is 9 yards

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The missing side length is equal to 9 yd.

The rectangle is a quadrilateral.  The classification for quadrilaterals is given by the length of sides and angles. For a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

A rectangle is a geometric figure that has 4 sides called: length and width (W). Due to its characteristics, the rectangle presents two lengths (L) and two widths (W).

For solving this question, you should:

        The figure is composed of two rectangles:

          Rectangle 01 whose sides are: 6 yd (W) and 16 yd (L).

          Rectangle 02 whose sides are: 8 yd (W) and 7 yd (L).

If the length (L) of rectangle 01 is 16 yd, which is equal to the sum between the missing side and the length of rectangle 02 (7 yd). Thus

      16=s+7

      s=16-7

      s=9

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The profit for selling 300 vetkoek every week at a cost of 3.80 per vetkoek and selling them for 10 each is 1860.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To calculate the profit for selling 300 vetkoek every week, we need to first calculate the total revenue generated and the total cost of producing the vetkoek.

Total revenue = Price per vetkoek x Number of vetkoek sold

Total revenue = 10 x 300 = 3000

Total cost = Cost per vetkoek x Number of vetkoek sold

Total cost = 3.80 x 300 = 1140

Profit = Total revenue - Total cost

Profit = 3000 - 1140 = 1860

Therefore, the profit for selling 300 vetkoek every week at a cost of 3.80 per vetkoek and selling them for 10 each is 1860.

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We have the following response after answering the given question: equation Hence, there are 22/45 female students at the dance.

In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilised. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.

Now, let's determine how many boys and females attend each school:

Middle School in Colfax

Boys: (5/9) * 270 = 150

Girls: (4/9) * 270 = 120

School in Winthrop:

Boys: (4/9) * 180 = 80

Girls: (5/9) * 180 = 100

Now, we can determine how many males and girls attended the dance overall:

Boys: 150 + 80 = 230

Girls: 120 + 100 = 220

Thus, the proportion of female students attending the dance is:

220 / (230 + 220) = 220 / 450 = 44/90 = 22/45

Hence, there are 22/45 female students at the dance.

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The solution for the inequality expression given is x > -2.154.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given linear inequality is,

-5/7 (21x + 35) < 1/3 (9 - 6x)

We have to solve the inequality.

Using the distributive property,

(-5/7 × 21x) + (-5/7 × 35) < (1/3 × 9) - (1/3 × 6x)

-15x - 25 < 3 - 2x

-15x + 2x < 3 + 25

-13x < 28

-x < 2.154

Multiplying throughout by negative 1.

x > -2.154

Hence the solution is x > -2.154.

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Answer:

The probability that a randomly chosen cancer patient who has received chemotherapy has also had elective surgery can be expressed as P(E|C), where "P" represents probability and the vertical bar "|" indicates "given." So, P(E|C) represents the probability of event E given that event C has occurred.

Step-by-step explanation:

the answer is 283.4

I can't write a formula

Answer:

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be she actually paid more for the same quantity of milk in the end.

Divide the measures of just this microsecond portion by two  variable in order to complete the task using the unitary technique. Briefly stated, the characterised by a group and colour subgroups are both removed from the unit method expression when a wanted item is present. For example, 40 pens with a changeable price would cost Rupees ($1.01). It's possible that one country will have total influence over the approach taken to accomplish this.

Here,

4 gallons of milk make up a gallon of milk. Four pints would cost $1.19 each, or

=> $1.19 x 4 = $4.76.

Instead of purchasing a gallon of milk for $4.66,

Aisha opted to purchase four pints for $4.76.

Thus, by purchasing four pints rather than a gallon, Aisha did not save money.

She actually paid more for the same quantity of milk in the end.

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