Which proportion shows the equality of the slopes of AC and AN

Answer:wow this is hard

Step-by-step explanation:

The probability of getting a number < 9 is 28/37.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. It has a range from 0 to 1.

Probability(Event) = Favorable Outcomes / Total Outcomes

Main Body:

Total numbers on the spinner greater than 9  = 37 - 10 + 1 = 28

(we are subtracting 10 because we need number that is greater than 10.)

and adding 1 because both the ends of interval is counted.

total numbers on spinner =37

P( x>9) = 28/37.

Hence the probability of getting a number greater than 9 on spinning is 28/37.

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Answer:

521

Step-by-step explanation:

Find completion to question in comment section.

Answer:

D. One of the jellybeans that slipped out was orange and one was black

Step-by-step explanation:

We calculate the option with the highest probability of occurrence :

Total number of jellybean = 75

n(T) =75

n(Pink) = 8

n(red) = 22

n(Orange) = 17

n(green) = 8

n(white) = 6

n(black) = 4

We assume that the jelly beans must have slipped out one after the other.

Evaluating the options :

A.)

P(pink) and P(white)

8/75 * 6/74 = 0.0086486

B.)

P(green) and P(green)

8/75 * 7/74 = 0.0100900

C.)

P(white) and P(white)

6/75 * 5/74 = 0.0054054

D.)

P(orange) and P(black)

17/75 * 4/74 = 0.0122522

From the probability values obtained, the highest is D. Hence, the most likely to have occurred is One of the jellybeans that slipped out was orange and one was black

If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

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Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?

The ratio of all the corresponding sides of the triangle are equal to each other.

An equation is an expression that shows the relationship between two or more numbers and variables.

Two triangles are said to be similar if they have the same shape and the same corresponding angles.

Also, the ratio of all the corresponding sides of the triangle are equal to each other.

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Six Sigma provides a continuous improvement framework and it has two methodologies.

DMAIC - Define, Measure, Analyze, Improve and Control.

DMADV - Define, Measure, Analyze, Design and verify

What is Six Sigma ?

According to the Six Sigma philosophies, every work can be broken down into discrete processes that may be measured, evaluated, improved, and managed.

                     Processes result in outputs after requiring inputs (x) (y). You can manage the outputs if you manage the inputs. This is typically written as y = f. (x).

What is a fundamental principle of Six Sigma?

The management practice known as "six sigma" aims to reduce errors. It is based on the idea that reducing defects is essential for improving margins, that costs can be cut, and that increasing customer loyalty can help because it is expensive to harbor defects.

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Maria must use 200 milliliters of 10% solution and n 50% solution.

Given that:

Maria needs to mix a 10% fungicide solution with a 50% fungicide solution to create 200 milliliters of a 10% solution.

Let x be the volume of the 10% fungicide solution and y be the volume of the 50% fungicide solution.

Then,

x + y = 200

y = 200 - x. [Equation 1]

Now using the dilution formula:

(C1 x V1) + (C2 x V2) = C3 x V3

Substitute:

10x + 50y = 10 × 200

10x + 50y = 2000 [Equation 2]

Here we get a system of linear equations.

Substitute [Equation 1] in [Equation 2].

10x + 50(200 - x) = 2000

10x + 10000 - 50x = 2000

-40x = -8000

x = 200

Hence, Maria should use 200 milliliters of 10% solution and n 50% solution.

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In a regression analysis regarding the two variables, the dependent variable is called the response or outcome variable, meanwhile the independent variable is called the predictor, explanatory, or input variable.

The goal of the analysis is to build a statistical model that can predict or explain the behavior of the dependent variable based on the independent variable(s). In a regression analysis, the two variables under consideration are:

In conclusion, the goal of the analysis is to find the best-fitting line or curve that describes the relationship between the variables. Once we have this model, we can use it to make predictions about the dependent variable based on the values of the independent variable(s).

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Step-by-step explanation:

Area of square = Length x Length =

\( {length}^{2} \)

Given Area of square =

\(256 {ft}^{2} \)

\( {length}^{2} = 256 \\ length = \sqrt{256} \\ = 16ft\)

9514 1404 393

Answer:

  (b)  Ingrid’s claim is correct, but her steps are incorrect

Step-by-step explanation:

As nearly as we can tell from the problem statement, Ingrid's table looks like the one attache. We have highlighted the incorrect steps.

Step 3 should read ...

  0·cos(y) -(-1)·sin(y) = sin(y) . . . . . . . . . sin(-π/2) = -1

Step 4 should read ...

  0 + sin(y) = sin(y)

So, Ingrid's conclusion is correct, but her steps are incorrect.

Answer:

x = 4

Step-by-step explanation:

\(5^{9x} =25^{4x+2}\)

First you need to get a common base as your number.

\(5^{9x} =5^{2(4x+2)}\)

The second number changed because 5 squared is 25. Changing it to this form gives us the same base number of 5. Now we use the distributive property in the exponent.

\(5^{9x} =5^{8x+4}\)

Now we can use this statement:

\(A^{m} =A^{n}\) if \(m=n\)

Using this we solve:

9x = 8x+4

-8x  -8x

x = 4

Hope it helps!

Answer:

it is between C and D

Step-by-step explanation:

The value of x  is 16 cm.

What is the equilateral triangle?

An equilateral triangle is a type of triangle that has three sides of equal length and three equal angles of 60 degrees each. All equilateral triangles are also equiangular and isosceles triangles. The sides of an equilateral triangle are congruent, and it is symmetrical in all ways, meaning that it has rotational and line symmetry.

We have given,

Lengths of sides:

16 cm,  16cm, and x cm,

we have to find the value of x.

The given triangle is an equilateral triangle,

so, The length of all three sides of an equilateral triangle is equal.

16 cm = 16cm =  x cm,

x = 16 cm

Hence, The value of x  is 16 cm.

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Answer:

Step-by-step explanation:

Answer: Last option, “histogram with 10 bars, bars 1 and 10 have height of 1 unit, bars 2 and 9 have heights of 2 units, etc.”

Step-by-step explanation:

Because it’s symmetric, the histogram’s median should be similar to the mean.

Answer:

If you get 7 tokens a minute and you work for 9 hours, or 540 minutes, then you would have:

7 tokens/minute * 540 minutes = 3780 tokens

You would have 3780 tokens in total.

Answer:

3,780

Step-by-step explanation:

7* 540= 3780

because you get 7 every minute and there are 540 minutes

The time taken by a student to finish a statistics exam can be modeled using the following cumulative distribution function: F(x) = 1 - e^-0.9, x > 0

Suppose that the time taken for a student to finish the exam is constant from student to student.

Then the mean number (to the nearest whole number) of students who will finish the exam in less than 1 hour for 12 students randomly selected is 7

.Step-by-step explanation:

The cumulative distribution function is given by, F(x) = 1 - e^-0.9, x > 0

Now, let X be the time taken by a student to finish the statistics exam

Then, X ~ Exp (0.9 )

We know that the cumulative distribution function (CDF) of the exponential distribution with parameter λ is given by,F(x) = P(X ≤ x) = 1 - e^(-λx) , x > 0Here, λ = 0.9.

Therefore, the CDF of X is given by,F(x) = P(X ≤ x) = 1 - e^(-0.9x) , x > 0

The probability that a student finishes the exam in less than 1 hour is, P(X ≤ 1) = F(1) = 1 - e^(-0.9) ≈ 0.5271

This means that out of 12 students randomly selected,

The expected number of students who finish the exam in less than 1 hour is,μ = np= 12 × 0.5271≈ 6.3252

Hence, the mean number (to the nearest whole number) of students who will finish the exam in less than 1 hour for 12 students randomly selected is 7.

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Answer: To solve this problem, we need to use the continuous compound interest formula:

A = Pe^(rt)

where A is the amount in the account, P is the initial principal, e is the mathematical constant e (approximately 2.71828), r is the annual interest rate (as a decimal), and t is the time in years.

For Michael's account, we have:

A = 1000e^(0.0475t)

For Peter's account, we have:

A = 1200e^(0.0425t)

We want to find the time it takes for each account to reach $1,800. So we can set up the following equations:

1000e^(0.0475t) = 1800

1200e^(0.0425t) = 1800

We can solve each equation for t by taking the natural logarithm of both sides and isolating t:

ln(1000) + 0.0475t = ln(1800)

ln(1200) + 0.0425t = ln(1800)

Subtracting ln(1000) or ln(1200) from both sides, we get:

0.0475t = ln(1800) - ln(1000)

0.0425t = ln(1800) - ln(1200)

Dividing both sides by the interest rate and simplifying, we get:

t = (ln(1800) - ln(1000)) / 0.0475 ≈ 10.16 years for Michael's account

t = (ln(1800) - ln(1200)) / 0.0425 ≈ 10.62 years for Peter's account

Therefore, Michael's account will grow to $1,800 first, after about 10 years (rounded to the nearest whole number).

Step-by-step explanation:

Erik plans to run approximately 8.63 miles this week.

To find out how many miles Erik plans to run this week, we need to multiply the distance he ran last week (3 miles) by 2 7/8, which is the factor by which he plans to increase his distance. To do this, we first need to convert the mixed number 2 7/8 into an improper fraction:

2 7/8 = (2 x 8 + 7) / 8 = 23/8

Now we can multiply:

3 miles x 23/8 = (3 x 23) / 8 = 69/8 miles

This means that Erik plans to run 69/8 miles, or 8 5/8 miles, this week. This is a mixed number, which means that Erik plans to run 8 whole miles and 5/8 of a mile.

Alternatively, we can express 69/8 as a decimal by dividing the numerator (69) by the denominator (8):

69/8 ≈ 8.63

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Answer:

Dimension of the enclosure is 56.56 ft * 14.14 ft

Step-by-step explanation:

Given -

Let us suppose that x is the length of steel fence and y is the length of one side of pine boards

We know that - xy = 800.

y = 800/x

Let us say that  C is the cost of fence

                = 3x + 6(2y) = 3x + 12y = 3x + 12(800/x)

C = 3x + 9600x-1, x > 0

C' = 3 - 9600x-2 = (3x2-9600)/x2

C' = 0 when 3x2 = 9600

                  x2 = 3200

                  x = √3200 ft ≈ 56.56 ft

So, the cost is minimized when x ≈ 56.56 ft and y = 800/x ≈ 14.14 ft

The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).

To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:

\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)

Let's calculate the first four terms:

Starting with the first term, we substitute

\(\(f(a) = f(1) = 2(1) = 2x\)\)

For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).

\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)

\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)

Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)

Since the second derivative is zero, the third term is zero.

Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)

Similarly, the fourth term is also zero.

Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:

(2x + 2x - 2)

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Since, PQ=RS, 5x+9=x-31, which simplifies to 4x=-40 and further reduces to x=-10.

Statements             Reasons

PQ = RS                   Given

5x + 9 = x - 31          Substitution (PQ = 5x + 9)

4x = -40                   Simplification

x = -10                     Division

In the proof, we start with the given information that PQ is equal to RS.

Then, we substitute the given values PQ = 5x + 9 and RS = x - 31.

By equating these expressions, we obtain the equation 5x + 9 = x - 31.

Simplifying this equation gives us 4x = -40, and dividing both sides by 4 yields x = -10.

Therefore, x is equal to -10.

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Answer:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Step-by-step explanation:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Answer:

2

Step-by-step explanation:

easy

Answer:

6 mules

Step-by-step explanation:

The ratio of Mules to Hay is 2:1. This means for every 2 mules there is 1 bale of hay. If there are 3 bales of hay then the amount of mules is 3*2 which is 6.

22.6666666667 or 22.67

3, 25, 25, 26, 27, 30

25 and 26 are middle numbers, so 25.5 is median

---

hope it helps

Answer: 136

Explaining: 3+25+26+30+27+25

Answer:

lil ***** where ya mom at

Step-by-step explanation

lol

The value of 2 divided by 3 is 0.67

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

2 divided by 3

To start with, we need to represent the expression properly as a quotient

So, we have the following representation

2 divided by 3 = 2/3

Evaluate the quotient expression using a calculator

This gives

2 divided by 3 = 0.67

Hence, the solution to 2 divided by 3 is 0.67

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Answer:

D

Step-by-step explanation:

simplified is 1 1/2, 1.5 or 3/2