PLS ANSWER ITS DUE IN 5 MINUTES

PLS ANSWER ITS DUE IN 5 MINUTES

Answers

Answer 1

Pi is the ratio of the circumference of a circle to its diameter, D

Answer 2

Answer:

D.

Step-by-step explanation:

is the ratio of the circumference of any circle to the diameter of that circle


Related Questions

if 22000 pots with 15 seeds each are used in a nursery, how many total seeds, in scientific notation?

Answers

Write the total number of seeds in scientific notation

Therefore,the total number of seeds expressed in scientific notation is;

3.30000 × 10^5

Given:

Number of pots = 22,000

Number of seeds = 15

Total number of seeds = Number of pots × Number of seeds

= 22,000 × 15

= 330,000

Scientific notation is written in multiples of 10

Count the number of digits Insert a decimal point between the first digit and other digitscount the number of digits after the first digits multiply by 10 raise to the power of number of remaining digits after first digits

= 3.30000 × 10^5

Therefore,

the total number of seeds in

scientific notation is 3.30000 × 10^5

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Please helppppp!!!!!

Please helppppp!!!!!

Answers

Answer:

right angle

Step-by-step explanation:

sorry if its wrong

The measure of <2 is 5 less than 4 times the measure of <1. Find the measures of all the angles. ​ answer pls

Answers

If the measure of <2 is 5 less than 4 times the measure of <1. The measure of angle <1 is 37 degrees, and the measure of angle <2 is   143 degrees. The measure of angle <3 is 55 degrees.

How to find the measures of all the angles?

Let's call the measure of angle <1 "x".

From the problem, we know that:

4 times the measure of angle <1 is equal to the measure of angle <2 plus 5:

4x = measure of angle <2 + 5

So the measure of angle <2 is 4x - 5.

Next, we know that the measures of all angles in a triangle must add up to 180 degrees.

Therefore, we have:

x + (4x - 5) + measure of angle <3 = 180

Expanding and simplifying:

5x - 5 + measure of angle <3 = 180

5x + measure of angle <3 = 185

5x = 185

Finally, solving for x:

x = 37

So the measure of angle <1 is 37 degrees, and the measure of angle <2 is 4 * 37 - 5 = 143 degrees. The measure of angle <3 is 185 - 5x = 185 - 5 * 37 = 55 degrees.

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Write a proportion to find how many points az a student needs to score on a test worth 50 points
to get a test score of 40%.

Answers

Answer:The student needs to score 20 points

Step-by-step explanation:

? /50= 40/100Cross multiply:100*? = 40*50⇒? = 40*50/100= 20

Describe the distribution of the ages of the Best Actor Oscar winners [LINK]:
A) What is the BEST description of the SHAPE?
- The distribution is not skewed
- The distribution is skewed left.
- The distribution is skewed right.

Answers

The correct option is option (c)-"The distribution is skewed right."

The distribution of the ages of the Best Actor Oscar winners is slightly skewed to the right.

A histogram of the ages of the Best Actor Oscar winners shows that the majority of the ages are centered around the mean age, with a few ages on the higher end that extend the right tail of the distribution. This creates a small skewness to the right.

The distribution seems to be centered at around 42-43.

The age distribution ranges from about 30 to about 75, without taking into account an outlier.

It's worth noting that the distribution is not extremely skewed, and the majority of the ages are still grouped around the center of the distribution.

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how do I find the inverse function of

Answers

To find the inverse function of F(x) = 2x - 3, we replace F(x) with y, swap the positions of x and y, and solve for y. The inverse function is f⁻¹(x) = (x+3)/2.

To find the inverse function of F(x) = 2x - 3, follow these steps

Replace F(x) with y. The equation now becomes y = 2x - 3.

Switch the positions of x and y, so the equation becomes x = 2y - 3.

Solve for y in terms of x. Add 3 to both sides: x + 3 = 2y.

Divide both sides by 2 (x + 3)/2 = y.

Replace y with the notation for the inverse function, f⁻¹(x): f⁻¹(x) = (x + 3)/2.

So, the inverse function of F(x) = 2x - 3 is f⁻¹(x) = (x + 3)/2.

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--The given question is incomplete, the complete question is given

" How do I find the inverse function of F(x) = 2x - 3"--

What role early cells played in shaping life on earth?

Answers

Answer:

Present-day cells evolved from a common prokaryotic ancestor along three lines of descent, giving rise to archaebacteria, eubacteria, and eukaryotes.

Changed the composition of the oceans. Most of the iron was precipitated out by early life.

Changed the composition of the atmosphere.  Oxygen became available in abundance.

What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2

No links please. Will give Brainlest on who is right. (This gamer girl is bad at math uwu)

What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2No links please. Will

Answers

Answer:

1

Step-by-step explanation:

which of these is an example of a discrete random variable? A. Time worked on a job B. Weight of a child C. First digit of a phone number D. Length of a fish

Answers

A discrete random variable has a countable number of possible values. In this case I am pretty sure it is either none of the above or maybe the phone one.

Discrete random variables are simply countable, which should be a finite number and it should not change continuously. So, Time worked on a job is the discrete random variable among the four options.          

Discrete random variable:

A random variable is said to be discrete if an experiment gives a finite number that is countable and should not change continuously.

Here, Time worked on a job has a fixed time for a job has to be done. So, it is a discrete random variable.

Some more examples of Discrete random variables are:

No. of girls in a family,

No. of outcomes of the head when two coins are flipped.

No. of defective street lights out of 100 bulbs in a certain area.

No. of the possible outcome of getting 4 when a dice is thrown twice.

Wrong answers with explanation:

The weight of a child changes as the child grows. So, it cannot be a discrete random variable.

The first digit of a phone number also changes for each and every person, whenever a person changes his /her number automatically will get a new number and it will have a different digit. So, it cannot be a discrete random variable.

The length of fish also varies according to the different sizes of fish. So, it cannot be a discrete random variable.

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Let random variable S represent the age of the attendees at a local concert. The following histogram shows the probability distribution of the random variable S.
Alfonso claims that the distribution of S is symmetric with a mean age of 36. Does the histogram support Alfonso's claim?

Answers

The histogram doesn't support Alfonso's claim and the correct option is 5: No, the distribution is skewed to the left with a mean age greater than 36.

What is a histogram?

A histogram is a graphic depiction of a frequency distribution with continuous classes that has been grouped. A series of rectangles with bases equal to the distances between class boundaries and areas proportional to frequencies in the associated classes make up the area diagram.

Consider the given histogram at the photo below. It is an left-skew histogram, since it has a long tail to the left side.

We need to estimate the mean of the given data. To do so, we need to multiply each class midpoint with its probability, and sum them.

For example, for the first one, the midpoint is 32 and the probability is 0.03 (read the value on the y-axis). For, the second one, the midpoint is 33 and the probability is 0.04, for the third the midpoint is 34 and the probability is 0.05, and so on. All needed values are presented below.

1. midpoint = 32, probability= 0.03

2. midpoint = 33, probability = 0.04

3. midpoint = 34, probability = 0.05

4. midpoint = 35, probability = 0.1

5. midpoint = 36, probability =0.11

6. midpoint = 37, probability = 0.13

7. midpoint = 38, probability = 0.2

8. midpoint = 39, probability = 0.09

So, it is obtained that -

μ = 0.03 · 32 + 0.04 · 33 + 0.05 · 34 + 0.10 · 35 + 0.11 · 36 + 0.13 · 37 + 0.25 · 38 + 0.20 · 39 + 0.09 · 40

μ = 37.15

Therefore, this histogram is left-skewed with mean greater than 36.

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Let random variable S represent the age of the attendees at a local concert. The following histogram

in an effort to improve a statistics course, we want to interview randomly chosen students about their attitudes toward the class.

Answers

Conducting interviews with randomly chosen students can provide valuable feedback and help in improving the statistics course. This data-driven approach can lead to evidence-based changes that enhance student satisfaction and learning outcomes.

To improve a statistics course, it would be beneficial to interview randomly chosen students about their attitudes toward the class. This would provide valuable insights into the strengths and weaknesses of the course, allowing for targeted improvements. By selecting students randomly, we can ensure a representative sample and reduce potential biases.

During the interviews, it would be important to ask open-ended questions to encourage honest and detailed responses. Through these interviews, we can gain an understanding of students' perceptions of the course content, teaching methods, and overall engagement.

Based on the information gathered, adjustments can be made to address any identified issues and enhance the learning experience.

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Conducting interviews with randomly chosen students can provide valuable feedback and help in improving the statistics course. This data-driven approach can lead to evidence-based changes that enhance student satisfaction and learning outcomes. The correct option A.

To improve a statistics course, it would be beneficial to interview randomly chosen students about their attitudes toward the class. This would provide valuable insights into the strengths and weaknesses of the course, allowing for targeted improvements. By selecting students randomly, we can ensure a representative sample and reduce potential biases.

During the interviews, it would be important to ask open-ended questions to encourage honest and detailed responses. Through these interviews, we can gain an understanding of students' perceptions of the course content, teaching methods, and overall engagement.

Based on the information gathered, adjustments can be made to address any identified issues and enhance the learning experience.

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CAN YALL HELP ME TYYY

CAN YALL HELP ME TYYY

Answers

Answer:

Your answer should be A) 25^15

Step-by-step explanation:

Multiply your bases (5*5) to get your main base of 25.

Add your exponents (4+11) to get your base exponent of 15.

Answer:

\(5^{15}\)

Step-by-step explanation:

In exponents multiplication, if bases are same, just add the powers.

\(a^{m}*a^{n}=a^{m+n}\\\\5^{4}*5^{11}=5^{4+11}=5^{15}\)

Consider the point P=(1,2) in R 2
and the vector v=⟨−4,−2⟩. (a) Write an equation for the line that passes through P and is parallel to v. (b) Write an equation for the line that passes through P and is orthogonal to v.

Answers

The point P=(1,2) in R 2 and the vector v=⟨−4,−2⟩. (a) The equation for the line passing through P and parallel to v is y = (1/2)x + 1. (b) The equation for the line passing through P and orthogonal to v is y = 2x.

(a) To find the equation for the line parallel to v, we know that parallel lines have the same slope. The vector v=⟨-4,-2⟩ can be interpreted as the direction of the line. The slope of the line can be calculated as -2/-4=1/2. Using the point-slope form of a line equation, we have:

y - 2 = (1/2)(x - 1).

Simplifying the equation, we get:

y = (1/2)x + 1.

(b) To find the equation for the line orthogonal to v, we need to find the negative reciprocal of the slope of v. The negative reciprocal of -2/-4 is 2/1=2. Using the point-slope form of a line equation, we have:

y - 2 = 2(x - 1).

Simplifying the equation, we get:

y = 2x.

By deriving these equations, we have determined lines that pass through point P=(1,2) and are either parallel or orthogonal to the vector v=⟨-4,-2⟩.

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write the following expression without negative exponents and without parentheses (-9x)^-2

Answers

The value of the expression is 1/(9x)^2

How to evaluate the expression

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

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

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Problem 18. Show that for any g € L(V, C) and u € V with g(u) 0: V = null g {Xu: A € C}. [10 marks]

Answers

The statement to prove is that for any linear transformation g ∈ L(V, C) and vector u ∈ V such that g(u) ≠ 0, the set V is equal to null g, denoted as {Xu: X ∈ C}. We need to show that every vector in V can be written as Xu for some X ∈ C. Combining these two observations, we can conclude that V = null g, satisfying the statement to be proven.

To prove that V = null g, we need to show that every vector in V can be expressed as Xu for some X ∈ C and that any vector in null g can be written in the form Xu.

First, let's consider a vector v ∈ V. Since g is a linear transformation from V to C, there exists a scalar X ∈ C such that g(u) = X. Therefore, we can write v = Xu, where X = g(u). This shows that every vector in V can be expressed as Xu for some X ∈ C.

Next, let's consider a vector w ∈ null g. By definition, null g is the set of all vectors in V that are mapped to zero by g. Since g(u) ≠ 0, the vector u is not in null g. Therefore, any vector in null g cannot be expressed as Xu for any X ∈ C.

Combining these two observations, we can conclude that V = null g, satisfying the statement to be proven.

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Assume that a numerical variable in a particular dataset has a minimum value of 10 and a maximum value of 35. You want to construct a frequency distribution for this variable using 5 classes. What is the class width that you should use?

a.5

b.6

c.10

d.25

e. 2

Answers

The class width that should be used for constructing the frequency distribution is 5.

To determine the class width for constructing a frequency distribution with 5 classes, we need to calculate the range of the variable and divide it by the number of classes.

Range = Maximum value - Minimum value

= 35 - 10

= 25

Class width = Range / Number of classes

= 25 / 5

= 5

Therefore, the class width that should be used for constructing the frequency distribution is 5.

The correct answer is (a) 5.

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An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by the local dealer. The customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion who are not satisfied.
(a) Past studies suggest that this proportion will be about 0.17. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015. (You will need a critical value accurate to at least 4 decimal places.) Sample size:
(b) Using the sample size above, when the sample is actually contacted, 25% of the sample say they are not satisfied. What is the margin of the error of the confidence interval? MoE:

Answers

The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntesis espacio y espacio abrir paréntesis 0 coma espacio raíz cuadrada de 28 cerrar paréntesis espacio ,eje conjugado = 2 raíz cuadrada de 3

Answers

Answer:

\(\frac{y^{2}}{25}-\frac{x^{2}}{3}=1\)

Step-by-step explanation:

Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:

centro: (0,0)

focos: \((0,-\sqrt{28}),(0,\sqrt{28})\)

eje conjugado = \(2\sqrt{3}\)

por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:

\(\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1\)

de los focos podemos obtener que:

\(c=\sqrt{28}\)

y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:

\(b=\sqrt{3}\)

podemos utilizar la siguiente fórmula para obtener a:

\(c^{2}-a^{2}=b^{2}\)

si despejamos a en la ecuación obtenemos lo siguiente:

\(a=\sqrt{c^{2}-b^{2}}\)

ahora podemos sustituir los valores:

\(a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}\)

\(a=\sqrt{28-3}\)

\(a=\sqrt{25}\)

a=5

así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:

\(\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1\)

\(\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1\)

\(\frac{y^{2}}{25}+\frac{x^{2}}{3}=1\)

si graficamos la hipérbola, queda como en el documento adjunto.

Ecuacin de la hiprbola con centro en (0;0), focos en abrir parntesis 0 coma espacio menos raz cuadrada

help please
A family has a unique pattern in their tile flooring on the patio. An image of one of the tiles is shown.

A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 5 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 5 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 6 centimeters.

What is the area of the tile shown?

53 cm2
45.5 cm2
42.5 cm2
36.5 cm2

Answers

The area of the tile shown is C) 42.5 cm².

To calculate the area of the tile shown, we need to divide it into two triangles and a rectangle. The rectangle's area is the product of the length and width, which is 3 cm x 6 cm = 18 cm².

To find the area of the triangles, we need to use the formula for the area of a triangle, which is 1/2(base x height). The base and height of the left triangle are 5 cm and 6 cm, respectively. So, the area of the left triangle is 1/2(5 cm x 6 cm) = 15 cm².

The base and height of the right triangle are 3 cm and 5 cm, respectively. So, the area of the right triangle is 1/2(3 cm x 5 cm) = 7.5 cm².

Adding the areas of the rectangle and the two triangles, we get 18 cm² + 15 cm² + 7.5 cm² = 40.5 cm². Therefore, the area of the tile shown is 40.5 cm², which is closest to the option C, 42.5 cm².

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A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s. Which solution can be eliminated and why?

Answers

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

What is a quadratic equation?

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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4) −4b + 3 = 35
solve equation

Answers

Answer:

-8

Step-by-step explanation:

when you substitute -8 for b it is -4(-8)+3=35

-4(-8) is 32 and 32+3=35

Boom.

also btw need help give brainliest

Answer:

-8

Explanation:

Move all terms that don't contain b to the right side and solve. Hope this helps :)

According to company records, the probability that a dishwasher will need repairs during its first six years is 0.09. This is an example of which type of probability?
A) Public Probability
B) Empirical Probability
C)Subjective Probability
D) Classical Probability

Answers

The probability that a dishwasher will need repairs during its first six years, as given in the company records, is an example of classical probability. Correct option is D.

Classical probability is a type of probability that is based on assumptions and theoretical considerations. It is also called theoretical probability. It is used to determine the probability of an event occurring in a situation where all possible outcomes are known and equally likely.

In this case, the company records provide the probability of the event (dishwasher needing repairs during its first six years), and it is assumed that all dishwashers have an equal chance of needing repairs.

In contrast, empirical probability is based on actual observations or data collected from past events. It involves calculating the probability of an event based on the frequency with which it has occurred in the past.

Subjective probability, on the other hand, is based on personal judgment or beliefs about the likelihood of an event occurring. It is often used in situations where there is a lack of data or uncertainty. Public probability is not a recognized type of probability. Therefore, correct option is D.

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the dial on a combination lock contains markings which represent the numbers from 0 to 39. how many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?

Answers

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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TRUE FALSE A criminal trial in the United States can be formulated as a hypothesis test with H0 : The defendant is not guilty and Ha : the defendant is guilty. In this framework, rendering a guilty verdict when the defendant is not guilty is a type II error. (3 pts)

Answers

TRUE. A criminal trial in the United States can indeed be formulated as a hypothesis test with H₀ (null hypothesis): The defendant is not guilty and Hₐ (alternative hypothesis): The defendant is guilty. In this framework, rendering a guilty verdict when the defendant is not guilty would be considered a type II error.



To understand this, let's break it down:
- Hypothesis testing is a statistical method used to make decisions based on available evidence.
- In a criminal trial, the null hypothesis (H₀) assumes that the defendant is not guilty, while the alternative hypothesis (Hₐ) assumes that the defendant is guilty.
- The trial proceeds by gathering evidence and presenting arguments to either support or reject the null hypothesis.
- The verdict is based on the evaluation of the evidence, which either leads to the rejection of the null hypothesis (guilty verdict) or fails to provide enough evidence to reject the null hypothesis (not guilty verdict).
In this framework, a type II error occurs when the null hypothesis (defendant is not guilty) is incorrectly accepted. This means that the defendant is actually guilty, but due to insufficient evidence or other factors, a not-guilty verdict is rendered.

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18 candy canes were broken. this number is represented 15% of the total number

Answers

Answer:

There are 120 candy canes in total.

Step-by-step explanation:

We are given that 18 candy canes are broken, which is 15% of the total number of candy canes.

To get the total number of candy canes, we can create a ratio:

candy canes : % of total

                18  :  15

Then, we can multiply both sides of this ratio until the right side (the % of total) is 100, because then the left side of the ratio represents the total number of candy canes.

canes : % of total

18    :    15

× 6        × 6

108  :   90

× \(\frac{10}{9}\)      × \(\frac{10}{9}\)

120  :   100

So, the total number of candy canes is 120.

Given m||n, find the value of x.
1
(7x+3)
(8x+1)°

Given m||n, find the value of x.1(7x+3)(8x+1)

Answers

Answer:

        x = 2

Step-by-step explanation:

Angles (7x + 3)° and (8x + 1)° are corresponding angles

Therefore:

m║n      ⇒      (7x + 3)° = (8x + 1)°

(7x)° + 3° = (8x)° + 1°     {subtract (7x)° from both sides}

3° = x° + 1°                   {subtract 1° from both sides}

2° = x°                          

x = 2

In a run chart, the variable being measured is typically placed on what axis?
(A) X axis
(B) Y axis
(C) Either axis
(D) Neither axis;

Answers

B) Y axis , Why the one represented on the vertical axis is called a dependent variable or variable and

I need help plzzzzz!!

I need help plzzzzz!!

Answers

Answer:

Its either A or D

Step-by-step explanation:

8% simple interest of 800 once is 64 dollars. I am not sure if it is 8% every year. If it is every year then the interest is 320 dollars. Good Luck.

Brainliest Please

Happy holidays

Simplify the expression |-11|?

Answers

Answer:

11

Step-by-step explanation:

| | takes the absolute value of a number so it wouldn't be negative

write -a^3b^6 as cubes of momnimal

Answers

Answer:

(-ab^2)^3.

Step-by-step explanation:

-a^3b^6 = (-ab^2)^3

Other Questions
Consider a system in thermal equilibrium with a heat bath held at absolute temperature T. The probability of observing the system in some state r of energy Er is is given by the canonical probability distribution: Pr = exp( Er) Z , where = 1/(k T), and Z = r exp( Er) is the partition function. (a) Demonstrate that the entropy can be written S = k r Pr ln Pr. (b) Demonstrate that the mean Helmholtz free energy is related to the partition function according to Z = exp F . Why doesnt Anne have a bike to ride to school Jacob has 1/2 of a container of trail mix. He is filling snack packs that each use about 1/6 of a container. How many snack packs can Jacob make? Newton's first law states that an object in motion willstay in motion unless acted upon by an external forceFact or cap multidisciplinary practical guidelines for gastrointestinal access for enteral nutrition and decompression from the society of interventional radiology and american gastroenterological association (aga) institute, with endorsement by canadian interventional radiological association (cira) and cardiovascular and interventional radiological society of europe (cirse Is the Lingua Franca Nova language widely used as a conlang? If yes, where all is it spoken? A political motive for the Alien and Sedition Acts was toA : increase the number of immigrants who voted B : elect a Democratic-Republican presidentC : keep the Federalists in powerD : motivate the country to support France Please help me will mark brainliestThe graph shown matches which quadratic equation?A. y=x2+3B. y=x2-3C. y=(X-3)2D. y=(X+3)2 The volume of a rectangular prism is 550 cubic meters.The length of the rectangular prism is 8 meters,the width is x - 2, and the height is x + 5.Find the value of x, and the dimensions of the rectangular prism.Enter your answer as an integer or decimal.V = lwhX=Width=MetersHeight= If oxygen has a molar mass of 16.0 g/mole, carbon has a molar mass of 12.0 g/mole and hydrogen has a molar mass of 1.01 g/mole, how many moles of ethanol do I have, if I have a beaker containing 10.0 g of ethanol (C2H5OH) The U.S. consumes lots of energy. Which fuel provides the most energy? Question 3 (0.5 points) Successful organisms must be able to do three things: obtain the energy they need to live, produce offspring, and maintain their (not plural answer) A (that is, stay healthy and keep the body and its systems working properly). View hint for Question 3 What are two challenges facing Mexico? For what value of x is the equation 2x+4/3=-8 true? write a rule for $g$g that represents a translation 3 units right and 1 unit up, followed by a horizontal stretch by a factor of 8 of the graph of $f\left(x\right)=\ln x$f(x)=lnx . The Hedonic Wage and Risk of Injury Theory suggests that the more risk averse a worker is Select one: O a. the worker will be strictly unwilling to take additional risk on the job O b. the greater the wage required for taking on additional risks O c. the less the wage required for taking on additional risks Od the worker will be absolutely unwilling to take on additional risks on the job What happens when you are only worried about yourself?A. You give yourself the ability to make others happy.B. You bring yourself happiness.C. You start to lose your ability to live, give to others, or be happy.D. You allow yourself to be genuinely happy forothers. Kehlani recorded the grade-level and instrument of everyone in the middle school School of Rock below.Seventh Grade StudentsInstrument # of StudentsGuitar 3Bass 3Drums 3Keyboard 12Eighth Grade StudentsInstrument # of StudentsGuitar 11Bass 13Drums 14Keyboard 15Based on these results, express the probability that a student chosen at random will play an instrument other than drums as a fraction in simplest form. The sound wave passes from the sea-water into the air. State what happens to; the speed of the waves Which immunity type becomes active as a result of infection by a specific microorganism?