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Answer:

4/5 probability

Step-by-step explanation:

There are 2 white out of 10, and 8 of the marbles are not white, so you divide the number of non-white marbles (the 'possibility') by the total number of marbles = 8/10. To reduce, divide by 2 and you'll get your answer.

Answer:

4/5

Step-by-step explanation:

A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow,  

P( not white) = number of marbles not white / total

                      = ( 4red+3blue+1yellow)/10

                      = 8/10

                   = 4/5

Answer:

90°

Step-by-step explanation:

16x - 6 and 15x are alternate angles and are congruent, then

16x - 6 = 15x ( subtract 15x from both sides )

x - 6 = 0 ( add 6 to both sides )

x = 6

Then

16x - 6 = 16(6) - 6 = 96 - 6 = 90°

Point E to point B and point B to Point E matches will you move between if you move 3 units left and 4 units down

To determine which two points you will move between if you move 3 units left and 4 units down, first let's look at the coordinates of each point:

Point A: (8, 3)

Point B: (9, 10)

Point C: (3, 9)

Point D: (2, 1)

Point E: (6, 6)

Now, let's move 3 units left and 4 units down for each point and find the new coordinates:

Point A: (8 - 3, 3 - 4) = (5, -1)

Point B: (9 - 3, 10 - 4) = (6, 6)

Point C: (3 - 3, 9 - 4) = (0, 5)

Point D: (2 - 3, 1 - 4) = (-1, -3)

Point E: (6 - 3, 6 - 4) = (3, 2)

Point A to Point E: (5, -1) to (3, 2) - No match

Point B to Point C: (6, 6) to (0, 5) - No match

Point B to Point E: (6, 6) to (3, 2) - This matches the movement between Point B and Point E

Point E to Point B: (3, 2) to (6, 6) - This matches the movement between Point E and Point B

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See Explanation

Step-by-step explanation:

You are given that ∠XWZ and ∠ZYX are right angles and WX≅ ZY. Also, XZ≅ XZ by the (COMMON SIDES) . So, the triangles △WXZ and △YZX be proven congruent using the HL Congruence Theorem.

The complete sentence is

According to the hypotenuse-leg (HL) theorem, a right triangle is congruent if each of its hypotenuse and legs are congruent with their corresponding hypotenuse and legs in another right triangle.

Given:

From Figure we can write

∠XWZ and ∠XYZ are right angles

and,  WX≅ ZY ( from figure)

So, the triangles ΔXWZ ≅ ΔXYZ  ( HL Congruence Theorem)

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Answer:

35

Step-by-step explanation:

no kizzy bruvvvvvvvvv

Answer: The answer is 3/8.

Learn how to add and subtract fractions

Khan Academy Video: Adding and subtracting fractions

The value of expression in fraction form is,

⇒ 3/8

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ 7/8 - 1/2

Now, We can simplify as;

⇒ 7/8 - 1/2

⇒ (7 - 4) / 8

⇒ 3 / 8

Thus, The value of expression in fraction form is,

⇒ 3/8

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Answer:

88

Step-by-step explanation:

Multiply 0.4 × 220 = 88

This makes sense because it's a biased coin. A fair coin has a probability of 0.5 and you would expect 110 tails.

Answer:

1st answer choice

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

a + b + c = 80

Express a and c in terms of b using the ratios in fractional form, that is

\(\frac{a}{b}\) = \(\frac{2}{3}\) ( cross- multiply )

3a = 2b ( divide both sides by 3 )

a = \(\frac{2}{3}\) b

\(\frac{b}{c}\) = \(\frac{3}{11}\) ( cross- multiply )

3c = 11b ( divide both sides by 3 )

c = \(\frac{11}{3}\) b

Substitute the values for a and c into the original equation

\(\frac{2}{3}\) b + b + \(\frac{11}{3}\) b = 80 ( multiply through by 3 to clear the fractions )

2b + 3b + 11b = 240 , that is

16b = 240 ( divide both sides by 16 )

b = 15 → G

the misclassification error rate for the following xlminer confusion matrix and the accuracy value of the confusion matrix is 10.82% .

In the field of machine learning, specifically the problem of statistical classification (in unsupervised learning, it is typically referred to as a matching matrix), a confusion matrix, also known as an error matrix, is a specific table structure that enables visualizing the performance of an algorithm.

The literature describes both iterations of the matrix, where each row represents instances in an actual class and each column represents instances in a predicted class. Since it is straightforward to tell whether the system is combining two classes, the name was chosen (i.e. commonly mislabeling one as another).

accuracy is given by the formula :

Accuracy(%) = (true positive + true negative)/(positive + negative)

Here TP true positive =10

and TN true negative is 8.2

hence accuracy = (10+8.2) / (1+0)  %

Accuracy = 10.82%

Therefore the accuracy value of the confusion matrix is 10.82% .

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we need to understand the concept of probability and how it is related to the mean and emissions. Probability is the likelihood or chance of an event occurring.

In this case, the event is the number of alpha particle emissions of carbon-14 counted by a Geiger counter per second. The mean is the average value of these emissions. The question asks us to find the probability that it takes no longer than 1 second for the second count.

This means that we need to find the probability of observing a count of alpha particle emissions equal to or less than the mean value of 25 in one second.

We can use the Poisson distribution to calculate this probability. The Poisson distribution is used to model the number of occurrences of an event in a given time period or space.

It assumes that the occurrences are independent and random, and that the mean and variance of the distribution are equal. In this case, the mean and variance are both 25.

Using the Poisson distribution formula, we can calculate the probability of observing a count of alpha particle emissions equal to or less than 25 in one second.

The formula is: P(X ≤ 25) = e^(-λ) * Σ(λ^k / k!), where λ is the mean value, k is the number of occurrences, and Σ is the sum from k=0 to k=25. Plugging in the values, we get: P(X ≤ 25) = e^(-25) * Σ(25^k / k!) Using a calculator, we can evaluate this sum and get: P(X ≤ 25) = 0.3841.

Therefore, the probability of observing a count of alpha particle emissions equal to or less than 25 in one second is 0.3841 or 38.41%. In conclusion,

the probability of observing a count of alpha particle emissions equal to or less than the mean value of 25 in one second is 0.3841. This means that there is a 38.41% chance of observing this event in one second.

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Answer:

A: 428.75/ 24.5 = $17.50 per sq foot

B: 62.50*24.50 = $1,531.25

C: 428.75 + 1,531.25 + 137.50 = $2,097.50 for the total replacement

Step-by-step explanation:

Matrix is\(a = [2512-60-29]\). Now, we need to find c, d, and c−1 such that a=cdc−1. For this, we can use the concept of matrix multiplication.

In order to multiply two matrices A and B, the number of columns in A must be equal to the number of rows in B.

Therefore, we can separate the matrix a into two matrices c and d such that \(a=cdc-1\) as follows: \(c = [ 2 1 - 1 2 ] , d = [ 5 0 0 -3 ]\)  and \(c^-1 = [ 2 1 1 2 ]\) .

To find c, d, and c−1 such that a=cdc−1, we can use the concept of matrix multiplication. In order to multiply two matrices A and B, the number of columns in A must be equal to the number of rows in B.

Therefore, we can separate the matrix a into two matrices c and d such that a=cdc−1 as follows: \(c = [ 2 1 -1 2 ]\), \(d = [ 5 0 0 - 3 ]\)  and \(c-1 = [ 2 1 1 2 ]\).

Thus, we can say that \(a = [2512-60-29]\)can be separated into \(c = [ 2 1 - 1 2 ] , d = [ 5 0 0 - 3 ]\)  and\(c-1 = [ 2 1 1 2 ]\) by using the matrix multiplication property. Therefore, the solution is obtained.

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A linear equation can be solved in four steps. First, simplify; next, use the properties of addition and subtraction; then, use the properties of multiplication and division; and last, check your work.

Any equation whose variables' highest powers are all equal to one is said to be a linear equation. This results in a graph with a straight line and is typically written as Ax+By=C. Here, x and y are the variables; A and B are their respective coefficients; and C is a constant.

The steps to solve a linear equation are given by

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Answer:

$1.50

Step-by-step explanation:

sandwich - $.50

hotdog - ?

$1.00 + $.50 = $1.50

The price of the hotdog is $1.50.

Given an observation that is two standard deviations above the expected value of the sum is 266.6667. The probability that the sum is larger than 256 is 0.0848 (approx).

The given observation is two standard deviations above the expected value of the sum. It means that the given observation is 2σ above the mean value. It implies the following relation:

(given value - expected value)/σ = 2

Putting the given values, we get

266.6667 - expected value)/σ = 2

⟹ (266.6667 - expected value)/σ = 2

⟹ 133.33335 - expected value = 2σσ

= (266.6667 - expected value)/2

Substitute σ in the above equation.

⟹ 133.33335 - expected value = (266.6667 - expected value)/2

⟹ 266.6667 - 2 × expected value = 266.6667/2 - 133.33335

⟹ 2 × expected value = 133.33335 - 266.6667/2

⟹ expected value = (133.33335 - 266.6667/2)/2

⟹ expected value = 59.99997

Now, we need to find the probability that the sum is larger than 256.Z = (X - μ) / σZ = (256 - 59.99997) / (266.6667/2)Z = 1.3745736

Probability, P(Z > 1.3745736) = 0.0848300

Therefore, the probability that the sum is larger than 256 is 0.0848 (approx).

Note: In the above solution, we have not used the standard deviation value given in the question. Rather we have found it using the given observation and expected value. This is because it is easy to find the expected value using the given data. Once we have expected value and observation, we can find the standard deviation using the relation (given value - expected value)/σ = 2.

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a) d/dt [√(289 - 8²)] = d/dt [√(255)] = d/dt [√(5²*17)] = 5/2√17 m/s.

b) The required value is the rate of change of x when the top of the ladder is 8 feet from the ground, then y = 15 feet.

a) Determine how fast the bottom of the ladder is sliding away when the top of the ladder is 8 feet from the ground. As the ladder leans against the side of the house, it makes a right angle with the ground. Using Pythagorean Theorem, the length of the ladder is given by.

Ladder length = √(hypotenuse)² - (height)²= √(17² - height²) meters. Taking the derivative of both sides of this equation, we get: dL/dt = [d/dt √(289 - h²)] meters/sec. Let h = 8 feet, dL/dt = -5 feet/sec.

Thus, the rate of change of the bottom of the ladder is d/dt [√(289 - h²)] meters/sec when the top of the ladder is 8 feet from the ground, and the bottom of the ladder is sliding away at a rate of 5 feet/sec.

b) At what rate is the angle o between the ladder and the ground changing then. Let y be the height of the ladder and the angle it makes with the ground be x. From the given values, y = 17 cos x.

Taking the derivative of both sides with respect to time: dy/dt = -17 sin x (dx/dt)In the given problem, dx/dt = -5/17sin x. Then, dy/dt = 5 sin x cos x= (5/2) sin 2x.

Solving this value of sin x by Pythagorean Theorem, sin x = 8/17. Substituting the value in the equation for the derivative, we get: dy/dt = (5/2) * sin 2x= (5/2) * sin 2(arc sin(8/17))= (5/2) * (2*8/17 * 15/17)= (600/289) ft/sec.

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With 65.2% of respondents opposing more than favoring or strongly opposing building new nuclear power plants.

(a) To find the sample size, we need to add up the number of respondents in each category across all six countries:

298 + 161 + 141 + 128 + 133 + 204 + 309 + 368 + 348 + 272 + 222 + 326 + 219 + 334 + 381 + 322 + 311 + 316 + 221 + 215 + 217 + 389 + 443 + 174 = 5005

So the sample size was 5005.

(b) We can use a chi-squared test of independence to determine whether attitudes toward building new nuclear power plants are independent of country. The null hypothesis is that the attitudes are not independent of country, and the alternative hypothesis is that they are independent.

Using a calculator or software, we can find the test statistic and p-value:

Test statistic: 154.95

p-value: 1.239e-28 (or approximately 0)

With a very small p-value, we reject the null hypothesis and conclude that attitudes toward building new nuclear power plants are not independent of country.

(c) To find the country with the most favorable attitude, we can add up the percentages of respondents who "strongly favor" and "favor more than oppose" for each country:

\(Great Britain: \frac{298}{976} = 30.5%\)

\(France: \frac{529}{1367} = 38.7%\)

\(Italy: \frac{489}{1248} = 39.2%\)

\(Spain: \frac{400}{1042} = 38.4%\)

\(Germany: \frac{355}{962} = 36.9%\)

\(United States: \frac{530}{1335} = 39.7%\)

So Italy has the most favorable attitude, with 39.2% of respondents strongly favoring or favoring more than opposing building new nuclear power plants.

To find the country with the least favorable attitude, we can add up the percentages of respondents who "oppose more than favor" and "strongly oppose" for each country:

\(Great Britain: \frac{527}{976} = 54.0%\)

\(France: \frac{549}{1367} = 40.1%\)

\(Italy: \frac{703}{1248} = 56.3%\)

\(Spain: \frac{633}{1042} = 60.7%\)

\(Germany: \frac{627}{962} = 65.2%\)

\(United States: \frac{391}{1335} = 29.3%\)

So Germany has the least favorable attitude, with 65.2% of respondents opposing more than favoring or strongly opposing building new nuclear power plants.

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Probability Distributions for Discrete Random Variables are

a. P(X = 3) = 0.2

b. P(X < 3) = 0.3

c. P(2 < X < 5) = 0.5

To solve the given problems, we need to determine the missing probability value for X = 3. Let's calculate it and then proceed with the rest of the questions.

Given:

X 1 2 3 4 5

P(x) 0.1 0.2 ? 0.3 0.2

To find the missing probability value:

0.1 + 0.2 + P(X = 3) + 0.3 + 0.2 = 1

0.8 + P(X = 3) = 1

P(X = 3) = 1 - 0.8

P(X = 3) = 0.2

Now, we can answer the questions:

a. P(X = 3) = 0.2

b. P(X < 3) = P(X = 1) + P(X = 2)

= 0.1 + 0.2

= 0.3

c. P(2 < X < 5) = P(X = 3) + P(X = 4)

= 0.2 + 0.3

= 0.5

Therefore,  Probability Distributions for Discrete Random Variables are

a. P(X = 3) = 0.2

b. P(X < 3) = 0.3

c. P(2 < X < 5) = 0.5

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Answer:

3(x-5)

Step-by-step explanation:

Answer:

3(x - 5)

Step-by-step explanation:

Make terms..

x + 2x - 15 =

3x - 15

Now lets find a common factor of them..

3x - 15

3(x - 5)

Thus,

3(x - 5), Is your answer

Percentage decrease is 17.29 .

Given :

In 2006, 65.2 million people subscribed to cable television.

In 2013, that number had decreased to 54.2 million.

To Find :

The percent decrease in the number of cable TV subscribers from 2006 to 2013.

So,

Decrease in the number of cable TV subscribers from 2006 to 2013 is :

Percentage decrease = Decrease in subscribers / initial subscribers * 100

% decrease = 63.6 - 52.6 / 63.6 * 100

% decrease = 17.29

Hence the percentage decrement in the tv subscribers are 17.29 .

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Answer:

8 - the sum of 14 = 7=7

8 - 14 = 7+7+7= 21

Step-by-step explanation:

Answer:

1. AC

2. AB

3. CB

Answer:

See below

Step-by-step explanation:

Start out -20     and change 0° ?

then there is zero slope as this would be a horizontal line.

Answer:

The researchers considered the before and after design of the study. They concluded that since the P-value was greater than the significance level, they had to fail to reject the null hypothesis.

Step-by-step explanation

test says is correct

Ii is the estimated value of the integral at the ith iteration, and I is the overall estimated value of the integral. We can stop the algorithm when the standard deviation σ is less than 0.01.

The standard deviation (SD, also written as the Greek symbol sigma or the Latin letter s) is a statistic that is used to express how much a group of data values vary from one another.

To estimate the integral I = ∫[1 to 0] \(e^{(x^2)\) dx using Monte Carlo simulation, we can use the following algorithm:

To stop when the standard deviation of the estimator is less than 0.01, we can keep track of the estimated value of the integral and the number of points generated at each iteration of the algorithm. We can compute the standard deviation of the estimator using the formula:

σ = √((1/N) * Σ[i=1 to N] (Ii - I)²)

where N is the number of iterations, Ii is the estimated value of the integral at the ith iteration, and I is the overall estimated value of the integral. We can stop the algorithm when the standard deviation σ is less than 0.01.

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The length of x in given triangle is BD = 10 units.

What is Pythagoras theorem ?

Pythagoras theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as:

\(c^2 = a^2 + b^2\)

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

According to the question:
Using Pythagoras theorem in triangle ABD, we have:

AD² + BD² = AB²

Since AD is the perpendicular from A to BC, it is also the height of the triangle ABC. Hence, we can use the area formula for a triangle:

Area(ABC) = 1/2 * AB * AD

On the other hand, we can also express the area of ABC using the base BC:

Area(ABC) = 1/2 * BC * h

where h is the length of the perpendicular from A to BC, which is the same as AD.

Equating the two expressions for the area of ABC, we get:

1/2 * AB * AD = 1/2 * BC * AD

Simplifying, we get:

AB = BC * (BD / AD)

Substituting the given values, we get:

20 = 30 * (x / AD)

AD = 30/2 = 15 (since the perpendicular from A to BC bisects BC)

Substituting AD into the equation above, we get:

20 = 30 * (x / 15)

Solving for x, we get:

x = 10

Therefore, BD = 10 units.

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When we solve the linear equation for y, we will get:

8*x/(3*a - 9) = y

That is the solution for the variable y.

Here we have the linear equation:

9*(x + y) = 3*a*y

Where x, y, and a are variables.

We want to solve this linear equation for y, this means that we need to isolate y in one side of the equation, to do so, let's start by expanding the left side:

9*(x + y) = 3*a*y

9*x + 9*y = 3*a*y

Now we move all the terms with y to the right side.

8x = 3*a*y - 9*y = (3*a - 9)*y

Now we divide both sides by 3*a - 9 to get:

8*x/(3*a - 9) = y

That is the equation solved for y.

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