PLS HELP AND EXPLAIN ESP IF YOU KNOW TRIG ILL GIVE BRAINLIEST IF POSSIBLE!!!!
graph y=-2sin(-3x) 0 is greater or equal to x is greater or equal to 2pi

Answers

Answer 1

the graph οf y=-2sin(-3x) οver the interval [0, 2π] will lοοk like a wave that οscillates 3 times between y=-2 and y=2, with a periοd οf 2π/3. The graph will start at the x-axis at y=0 and be reflected acrοss the x-axis.

What is a graph?

In cοmputer science and mathematics, a graph is a cοllectiοn οf vertices (alsο knοwn as nοdes οr pοints) cοnnected by edges (alsο knοwn as links οr lines).

I can help yοu graph the functiοn y=-2sin(-3x) οver the interval [0, 2π].

Tο start, let's analyze the functiοn. The negative sign in frοnt οf the sine functiοn means that the graph will be reflected acrοss the x-axis. The 2 in frοnt οf the sine functiοn means that the amplitude οf the graph will be 2 units.

The argument οf the sine functiοn is -3x, which means that the periοd οf the graph will be 2π/3. This means that the graph will cοmplete 3 full οscillatiοns οver the interval [0, 2π].

Using this infοrmatiοn, we can sketch the graph as fοllοws:

At x=0, the sine functiοn is 0, sο the graph starts at the x-axis at y=0.

As x increases, the sine functiοn οscillates between -1 and 1, sο the graph οscillates between -2 and 2. Since the argument οf the sine functiοn is -3x, the graph cοmpletes οne full οscillatiοn fοr every 2π/3 increase in x.

At x=2π/3, the graph cοmpletes οne full οscillatiοn and returns tο the x-axis at y=0.

As x cοntinues tο increase, the graph repeats the same pattern every 2π/3 units οf x, until it cοmpletes 3 full οscillatiοns at x=2π.

Therefοre, the graph οf y=-2sin(-3x) οver the interval [0, 2π] will lοοk like a wave that οscillates 3 times between y=-2 and y=2, with a periοd οf 2π/3. The graph will start at the x-axis at y=0 and be reflected acrοss the x-axis.

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PLS HELP AND EXPLAIN ESP IF YOU KNOW TRIG ILL GIVE BRAINLIEST IF POSSIBLE!!!!graph Y=-2sin(-3x) 0 Is

Related Questions

Can someone help, please? Thanks!

Answers

Each points can be determine as the ordered pair (x, y) with inequalities;

W  ⇒  x ≥ 5 and y < -1

X  ⇒   x ≥ 5 and y > 1

Y  ⇒   x < -5 and y ≥ 5

Z  ⇒   x < -1 and y < -4

Define the term graph?

A chart in x-y hub plot is a visual portrayal of numerical capabilities or data of interest on a Cartesian direction framework. The horizontal, or independent, variable is represented by the x-axis, while the vertical, or dependent, variable is represented by the y-axis. To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.

According to the graph each points can be determine with inequalities;

W = (5, -2) ⇒  x ≥ 5 and y < -1

X = (5, 2) ⇒    x ≥ 5 and y > 1

Y = (-6, 5) ⇒   x < -5 and y ≥ 5

Z = (-2, -5) ⇒  x < -1 and y < -4

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what does a filled-in symbol in a pedigree indicate?

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Answer:

In a pedigree chart, a filled-in symbol (usually a circle or square) typically indicates that the individual represented by that symbol has the trait or condition of interest. This trait or condition may be a genetic disorder or a physical characteristic that is being studied.

For example, in a pedigree for a genetic disorder such as Huntington's disease, a filled-in circle or square would indicate an affected individual who has inherited the disease-causing allele from one or both parents. In contrast, an unfilled symbol would indicate an individual who does not have the disease or does not carry the disease-causing allele.

Overall, the use of filled-in symbols in a pedigree chart helps to visually represent the inheritance pattern of a trait or condition within a family.


Plez help
Which statement accurately describes how to reflect point A (3, -1) over the y-axis?
Construct a line from A parallel to the x-axis, determine the distance from A to the x-axis along this parallel
line, find a new point on the other side of the x-axis that is equidistant from the x-axis.
O Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this
perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis.
Construct a line from A perpendicular to the x-axis, determine the distance from A to the x-axis along this
perpendicular line, find a new point on the other side of the x-axis that is equidistant from the x-axis.
O Construct a line from A parallel to the y-axis, determine the distance from A to the y-axis along this parallel
line, find a new point on the other side of the y-axis that is equidistant from the y-axis as A is.

Answers

The statement "Construct a line from A perpendicular to the y-axis, determine the distance from A to the y-axis along this perpendicular line, find a new point on the other side of the y-axis that is equidistant from the y-axis" accurately describes how to reflect point A (3, -1) over the y-axis

How to reflect a point over the y-axis?

To reflect a point over the y-axis, you need to find a new point that is the same distance from the y-axis as the original point, but on the other side of the y-axis.

This can be done by constructing a perpendicular line from the original point to the y-axis, determining the distance from the original point to the y-axis along this line, and then finding a new point on the other side of the y-axis that is the same distance from the y-axis as the original point.

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which of the following true of correlations? group of answer choices a correlation is when two events occur together at a rate higher than mere chance would predict. a correlation always indicates a causal relationship. a positive correlation holds when the occurrence of one event decreases the chance of another event occurring. none of these answers are correct.

Answers

Group of answer choices a correlation is when two events occur together at a rate higher than mere chance would predict.Therefore, none of these answers are correct.

The following is true of correlations: A correlation is when two events occur together at a rate higher than mere chance would predict. This is because when two events occur together, they are likely related to one another, rather than it being coincidental. However, correlation does not always indicate a causal relationship. Correlation is just an association between two variables, which could be because of chance, or there could be another variable that causes the two events to occur together.

A positive correlation holds when the occurrence of one event increases the chance of another event occurring. This means that when one variable increases, the other also increases. A negative correlation holds when the occurrence of one event decreases the chance of another event occurring. This means that when one variable increases, the other decreases.

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Ines's younger brother will be home in a half hour. If her garden hose flows at a rate 24​ gal/min, does she have enough time to fill the pool before he gets​ home? Explain. ​

Answers

Since the volume of the pool is 948.98 gallons gallons and the garden hose can fill 720 gallons in half an hour, it is clear that Ines cannot fill the pool completely before her brother gets home in half an hour.

To determine if Ines has enough time to fill the pool before her brother gets home, we need to calculate the volume of the pool and the amount of water that the garden hose can fill in the given time.

The pool is cylindrical with an outer diameter of 9 ft and a height of 3 ft, which means the radius of the pool is 4.5 ft (half the diameter).

The width of the pool is given as 10 inches, which is 10/12 = 0.83 ft

radius of inner pool = 4.5-0.83 = 3.67 ft

The volume of the pool can be calculated using the formula for the volume of a cylinder:

[tex]V_{pool} = \pi r^2h[/tex]

where π is approximately 3.14, r is the radius, and h is the height.

Substituting the given values, we get:

[tex]V_{pool} = 3.14 * (3.67)^2 * 3[/tex]

[tex]V_{pool} = 126.87 ft^3[/tex]

To convert this volume to gallons, we need to multiply by the conversion factor of 7.48 gallons per cubic foot:

[tex]V_{pool} = 126.87 * 7.48[/tex]

[tex]V_{pool }= 948.98 gallons[/tex]

Now we need to determine how much water the garden hose can fill in half an hour, which is 0.5 hours.

The flow rate of the garden hose is given as 24 gallons per minute, so in half an hour it can fill:

24 gallons/min * 30 min = 720 gallons

Since the volume of the pool is 948.98 gallons gallons and the garden hose can fill 720 gallons in half an hour, it is clear that Ines cannot fill the pool completely before her brother gets home in half an hour.

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The complete question is :

Ines's younger brother will be home in a half hour. If her garden hose flows at a rate 24​ gal/min, does she have enough time to fill the pool before he gets​ home? Explain. ​ (Hint: 1 ft = 7.48 gal)

a sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. what is the probability that at least one of the calculators is defective? group of answer choices

Answers

The probability that at least one calculator will be defective is 0.7305.

The probability that at least one of the calculators is defective can be calculated using the formula:

P(at least one defective calculator) = 1 - P(no defective calculator)

The probability of selecting a defective calculator from the group of defective calculators is 16/46.

Since the calculators are selected randomly, the probability of selecting a non-defective calculator is 30/46.

Therefore, the probability of selecting 4 non-defective calculators from the group of 46 calculators is:

30/46 × 29/45 × 28/44 × 27/43 = 0.2695 (rounded to 4 decimal places)

Using the formula above, we can calculate the probability that at least one calculator will be defective:

P(at least one defective calculator) = 1 - P(no defective calculator)P(no defective calculator)

                                                         = 1- 0.2695 P(at least one defective calculator)

                                                         = 1 - 0.2695

                                                         = 0.7305

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If I have a jug with 30 mL of cordial mixed into 300 mL of water, what is the fraction of water in the jug?

Answers

1/10

The math:

30/30=1 (your new numerator)

300/30= 10 (your new denominator)

The fraction of water in the jug is 1/10

X A. 1.7 B. 1.9 C. 2.1 D. 2.2 4.44 10.47 Find x. Round the answer to the nearest tenth.​

Answers

Hence, value of variable x in the triangle is 1.9.

Define Pythagorean Theorem

The Pythagorean Theorem is a fundamental concept in geometry that relates to the three sides of a right-angled triangle. It states that the square of the hypotenuse (the longest side of a right-angled triangle) is equal to the sum of the squares of the other two sides. It can be expressed as:

a² + b² = c²

where "c" is the length of the hypotenuse and "a" and "b" are the lengths of the right triangle's two shorter sides.

By Pythagorean Theorem

BC²=BD²+DC²

Base of triangle, BC=√10.47²+4.44²

=11.3725

ΔABC and ΔBDC are similar

AB/BD=BC/DC=AC/BC

11.3725/10.47=10.47+x/11.3725

11.3725/10.47=10.47+x

x=1.99

Image is attached below

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11. how many milliliters equals 1 unit of pitocin, if the 500ml bag of normal saline has 30 units of pitocin in it?

Answers

As per the concept of measurement, one unit of Pitocin is equivalent to 16.67 milliliters of the solution in the bag.

Pitocin is typically administered through an intravenous (IV) drip, which allows for precise control of the dosage. The dosage of Pitocin is usually measured in units, with each unit representing a specific amount of the medication. In the case of the 500ml bag of normal saline that contains 30 units of Pitocin, it is necessary to determine how many milliliters are equivalent to one unit of Pitocin.

To do this, we can use a simple formula:

Volume of Pitocin per Unit = Total Volume of Pitocin / Total Number of Units

In this case, the total volume of Pitocin is 30 units, and the total volume of the saline bag is 500 ml. Therefore, we can calculate the volume of Pitocin per unit as follows:

Volume of Pitocin per Unit = 500 ml / 30 units

Volume of Pitocin per Unit = 16.67 ml/unit

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4. What are the values of x and y? (1 point)

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when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

How many triangles are formed by drawing all the diagonals from a single vertex? Submit Work it out Not feeling ready yet? These can help: Triangle Angle-Sum Theorem (72) Polygon vocaobulary

Answers

Four triangles would be formed by drawing all the diagonals from a single vertex of a hexagon.

When all the diagonals are drawn from a single vertex of a polygon, the number of triangles formed depends on the number of sides of the polygon. To calculate the number of triangles, we need to use the formula:

number of triangles = (number of sides - 2)

For example, if we have a pentagon (a polygon with five sides), the number of triangles formed from a single vertex would be:

number of triangles = (5 - 2) = 3

So, three triangles would be formed by drawing all the diagonals from a single vertex of a pentagon.

Similarly, for a hexagon (a polygon with six sides), the number of triangles formed would be:

number of triangles = (6 - 2) = 4

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I need some help with this Math problems on investments please

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If the trailer decreases every 10% per year, we will multiply 29,000 by 0.1

10% in decimal form is 0.1

So every year until the 4th year we will multiply that number by 0.1

If we do 29,000x0.1 we’ll get 2,900 that’s year 1
Year 2: 2,900x0.1=290

Year 3: 290x0.1=2.90

Year 4: 2.90x0.1=0.29 which is 29 cents

We can simplify this process by doing
29,000x0.1^4
29,000 is the initial value
0.1 is how much it will decrease
And the 4 is how many times we will repeat this, basically the years

this is due now!!!!!!!!!!!!!!!!

Answers

Answer: It is rotation and reflection.

Step-by-step explanation:

URGENT!! Will give brainliest if correct :)))


Different groups of 100 graduates of a business school were asked the starting annual salary for their first job after graduation, and the sampling variability was low. If the average salary of one of the groups was $96,000, which of these is least likely to be the average salary of another of the groups?

A. $97,000

B. $96,000

C. $85,000

D. $98,000

Answers

Answer:

It is C

Step-by-step explanation:

I took it. But, check to be sure.

(x-8)³ what is/are the zeros of this function have?

Answers

After answering the provided question, we can conclude that Therefore, equation the only zero of the function (x-8)³ is x = 8.

What is equation?

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The goal of equation helping to solve is to determine the value or virtues of the variable in the model) that will allow the equation to be true. Equations can be simple or complex, regular or nonlinear, and include one or more factors. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are used in many different areas of mathematics, such as algebra, calculus, and geometry.

To find the zeros of the function (x-8)³.

(x-8)³ = 0

∛(x-8)³ = ∛0

x - 8 = 0

x = 8

Therefore, the only zero of the function (x-8)³ is x = 8.

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Given the diagram above, m2Z is:
180°
120°
60°
30°

Answers

Answer:

120°

Step-by-step explanation:

In a quadrilateral, the angle sum is 360°

Therefore,

2t+2t+t+t = 360

6t = 360

t = 360÷6

t= 60°

Now,

Z = 2t

Z = 2 × 60

= 120

Enter the value of b so that the expression 9(a+5) is equivalent to 9(b+a)

Answers

The value of b that makes the expression 9(a+5) and 9(b+a) equivalent is 5.

To make the expression 9(a+5) and 9(b+a) equivalent, we need to find the value of b that makes them equal for all values of a.

We can start by expanding expressions using distributive property of multiplication:

9(a+5) = 9a + 45

9(b+a) = 9b + 9a

Two expressions will be equal if 9a + 45 = 9b + 9a for all values of a.

Simplify this equation by subtracting 9a from LHS and RHS:

45 = 9b

Finally, divide by 9 by b:

b = 5

To make the expressions equivalent, we need to find the value of b that makes 9(a+5) equal to 9(b+a) for all values of a. We can do this by expanding both expressions and equating them, and then solving for b. The value of b that we get is 5, which means that we can rewrite 9(a+5) as 9(5+a) to make it equivalent to 9(b+a).

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answer the question below sorry making this again

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i think the answer is 24

PLEASE HELP ME DUE MIDNIGHT!

Answers

in radians - column 1: 7pie/4 and 11pie/6
sin - column 2: square root of 3 over 2 and -1/2
tan - column 4: square root of 3 and 1

Which expressions are equivalent to − 1 3(12−3+6x)​?

Answers

Answer:

We can simplify the expression as follows:

- First, we can simplify inside the parenthesis: 12 - 3 + 6x = 9 + 6x.

- Next, we can substitute this simplified expression back into the original expression:

-1/3(9 + 6x) = -3 - 2x, distributing the -1/3 through.

Therefore, -1/3(12-3+6x) is equivalent to -3-2x.

the summit of mount everest is approximately 29,035 ft above sea level. what is the distance from the summit to the horizon, rounded to the nearest mile? assume that the distance from the earth's center to any point on earth's surface is 4,000 miles.

Answers

Distance from the summit of Mount Everest to the horizon, Rounded to the nearest mile, the distance from the summit of Mount Everest to the horizon is 210 miles.

What is the distance?

Distance refers to the space between two points or the length of a line between them. It may also refer to a range, extent, or magnitude that separates one point from another. Distance may be a physical concept, such as the distance between two cities or the distance traveled by a moving object.

The distance between two points can be calculated using a number of mathematical techniques, including the Pythagorean theorem, the distance formula, and vector addition.

d = √(2Rh + h²)

where d is the distance to the horizon, R is the radius of the Earth (4000 miles), and h is the height of the observer (in this case, the height of the summit of Mount Everest, which is 29,030 feet).

We need to convert the (h) height of the summit to miles:

29,030 ft = 29,030/5280 miles ≈ 5.49 miles

Now we can plug in the values and solve for d:

d = √(2 × 4000 × 5.49 + 5.49^2) =209.64288 ≈ 210 miles

Therefore, the distance from the summit of Mount Everest to the horizon is approximately 210 miles when rounded to the nearest mile.

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Two bakers make 30 loaves of bread every morning. Assume all bakers work at the same rate. Suppose two bakers make 30 loaves in one hour. How many hours would 3, 5, 6, and 15 bakers need to make 30 loaves?

Answers

We can use the formula:

time = (amount of work) / (rate of work)

The rate of work is the number of loaves made per hour by one baker. Since two bakers can make 30 loaves in one hour, the rate of work is:

rate of work = (30 loaves) / (2 bakers) = 15 loaves per baker per hour

Now we can use this rate to find how long it takes different numbers of bakers to make 30 loaves:

- For 3 bakers: time = (30 loaves) / (3 bakers x 15 loaves per baker per hour) = 0.67 hours, or about 40 minutes.
- For 5 bakers: time = (30 loaves) / (5 bakers x 15 loaves per baker per hour) = 0.4 hours, or 24 minutes.
- For 6 bakers: time = (30 loaves) / (6 bakers x 15 loaves per baker per hour) = 0.33 hours, or 20 minutes.
- For 15 bakers: time = (30 loaves) / (15 bakers x 15 loaves per baker per hour) = 0.133 hours, or 8 minutes.

Step-by-step explanation:

2 bakers make 30 loaves in 1 hour.

that means each baker just by him-/herself can make 15 loaves in 1 hour.

so,

1 baker's "speed" = 15 loaves/hr

15 l/h = 30l/x

x = 30/15 = 2 hours (1 baker takes 2 hours to make 30).

3 bakers' speed = 3×15/hr = 45l/h

45l/h = 30l/x

x = 30/45 = 2/3 hours (3 bakers need 2/3 hours = 40 minutes to make 30 loaves).

5 bakers = 5×15l/h = 75 l/h.

75l/h = 30l/x

x = 30/75 = 2/5 hours (5 bakers need 2/5 hours = 2×60/5 = 24 minutes to make 30 loaves).

6 bakers = 6×15l/h = 90 l/h.

90 l/h = 30/x

x = 30/90 = 1/3 hours (6 bakers need 1/3 hour = 60/3 = 20 minutes to make 30 loaves).

15 bakers = 15×15 l/h = 225 l/h

225 l/h = 30/x

x = 30/225 = 2/15 hours (15 bakers need 2/15 hours = 2×60/15 = 2×4 = 8 minutes to make 30 loaves).

7+7+39+4939+3836+382= what

Answers

Answer:

The answer would be 9,210


The answer to the problem is 9,210

Write a numerical pattern that represents the rule y=x-9 starting with x=100

Answers

Answer:

y = 91

as the x value increases the y value also increases.

The x and y value will always be 9 numbers apart as it increases.

Step-by-step explanation:

y = x-9, x = 100

y = 100 - 9

y = 91

(100, 91)

An electrician charges $90 to identify a problem and $85 per hour to fix the problem. The total c equals 85 times the number of hours x plus 90. What expression (rule) describes the relationship?

Answers

The intercept might not make sense in these types of issues, but that is alright. The electrician is unaware of the significance of the x-value. intercept's

y=85x+90

The constant 90 is the hourly rate that does not fluctuate, and x is the amount of hours units are dollars. The rate at which the slope is increasing in this instance is 85 per hour. The independent variable is the number of hours that can be determined. The dependent variable is the price. depends on hours, which is typically on the y-axis, whereas the independent variable is typically on the x-axis.

cost $ 90, and the y-intercept (0,90)

Where y=0 is at -2.5 is where the x-intercept is located.

The intercept might not make sense in these types of issues, but that is alright. The electrician is unaware of the significance of the x-value. intercept's

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Plot the points (-8, 7) and (5, 7) on the coordinate plane below.
What is the distance between these two points?
units

Answers

Therefore, the distance between the two points is 13 units.

What is distance?

Distance is the measure of the length between two points or objects. It is the amount of space between two points, or the length of a path traveled by an object. Distance is typically measured in units such as meters, kilometers, miles, feet, or yards. In physics, distance is often used to describe the separation between two objects in space, and it is an important factor in many scientific calculations, such as speed, velocity,

and acceleration.

by the question.

Here is the plot of the two points on the coordinate plane:

The first point (-8, 7) is plotted 8 units to the left of the y-axis and 7 units above the x-axis. The second point (5, 7) is plotted 5 units to the right of the y-axis and 7 units above the x-axis.

To find the distance between these two points, we can use the distance formula:

[tex]distance =\sqrt((x2 - x1)^2 + (y2 - y1)^2)[/tex]

where?[tex](x_1, y_1)[/tex]and [tex](x_2, y_2)[/tex] are the coordinates of the two points.

Plugging in the coordinates, we get:

[tex]distance = \sqrt((5 - (-8))^2 + (7 - 7)^2)[/tex]

        = [tex]\sqrt((13)^2 + (0)^2)[/tex]

        = [tex]\sqrt(169)[/tex]

        = 13

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Can someone do this for me pls?

Answers

Answer:

A) x=12

Step-by-step explanation:

Total of markers in her bag is: 8+4+1+12=25.

The chanse that she can pull out green marker is  [tex]\frac{4}{25}[/tex].

[tex]\frac{4}{25} *75=4*3=12[/tex]

Estimate the length of the hypotenuse. 57 C07 D KUP H​

Answers

We can estimate that the length of the hypotenuse is about 8.6 units.

Estimating the length of the hypotenuse

We can use the Pythagorean theorem to estimate the length of the hypotenuse of the right triangle formed by the given opposite and adjacent sides.

The Pythagorean theorem states that:

c^2 = a^2 + b^2

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides of the right triangle.

Substituting the given values, we get:

c^2 = 7^2 + 5^2

c^2 = 49 + 25

c^2 = 74

To estimate the length of the hypotenuse, we can take the square root of both sides:

c ≈ √74

c ≈ 8.6 (rounded to one decimal place)

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The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?

Answers

Answer:

The letter t occurs more than 26 times on approximately 420 of these pages.

Step-by-step explanation:

1 standard deviation below mean = M - SD

                                                      = 44 - 18 = 26

This implies that that "26" is 1 s.d. below the mean, which is at the 16th percentile.

Thus,  there is a 0.16 chance that "t" will occur less than 26 times on any single page.

consequently, there is a 0.84 chance that it will occur more than 26 times on any single page.

Given m|n, find the value of x.
(8x-7)°
(9x-28)

PLEASE HURRY!!!

Answers

If m | n, it means that m is a divisor or factor of n, or equivalently, n is divisible by m. In geometry, if two lines intersect and the corresponding angles are congruent (have the same measure), then the lines are said to be cut by a transversal in a way that creates equal corresponding angles.

In the given problem, we have two angles formed by two intersecting lines, and we are told that they are corresponding angles, so they have the same measure. Therefore, we can set the two expressions that represent the angles equal to each other and solve for x.

(8x-7)° = (9x-28)°

8x-7 = 9x-28 (setting the two expressions equal to each other)

-x = -21 (subtracting 8x and adding 28 to both sides)

x = 21 (dividing both sides by -1)

Therefore, the value of x is 21.

Answer:

x = 21

General Formulas and Concepts:

Geometry

Corresponding Angles - Angles that are congruent to each other and occur with parallel lines

Step-by-step explanation:

Step 1: Identify

We see that the measures given are Corresponding Angles

Step 2: Solve for x

Set up equation:                         8x - 7 = 9x - 28Subtract 8x on both sides:         -7 = x - 28Add 28 on both sides:               21 = xRewrite:                                       x = 21
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