Recall that an angle making a full rotation measures 360 degrees or 2 radians. a. If an angle has a measure of 110 degrees, what is the measure of that angle in radians? radians Preview b. Write a formula that expresses the radian angle measure of an angle, in terms of the degree measure of that angle, d.

Answer:  387

Step-by-step explanation: Have a blessed day hopefully this helps!

Answer:387

Step-by-step explanation:

bc it is

To find E(X1X10X22), the expected value of the product of the first, tenth, and twenty-second picks from an urn containing 30 chips numbered from 1 to 30, we can use the concept of linearity of expectation.

The expected value of the product is the product of the expected values of the individual picks.

The expected value of a single pick can be computed by taking the sum of all possible values multiplied by their respective probabilities. In this case, the expected value of a single pick is (1+2+3+...+30)/30 = 15.5.

Using the linearity of expectation, the expected value of the product X1X10X22 is E(X1) * E(X10) * E(X22) = 15.5 * 15.5 * 15.5 = 3759.875. Therefore, the expected value of the product of the first, tenth, and twenty-second picks is approximately 3759.875.

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Answer:

(2) Five added to the product of 2 and p is less than 11.

Step-by-step explanation:

2p + 5 is represented by five added to the product of 2 and p.

This is because 2p is the product, and 5 is added to it.

The less than inequality means that 2p + 5 is less than 11.

So, the correct statement is (2) Five added to the product of 2 and p is less than 11.

The length of midsegment of the trapizoid with bases 35 and 71 is 53.

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.

A trapezoid is a closed, four-sided, two-dimensional shape that has both a perimeter and an area. The bases of the trapezoid are the two sides of the form that are parallel to one another. The legs or lateral sides of a trapezoid are the non-parallel sides. The altitude is the smallest distance between two parallel sides. Calculating a trapezoid's area is easy since its opposite sides are parallel to one another.

A trapezoid differs from other quadrilaterals in that it has the following characteristics:

The length of midsegment is sum of bases divided by 2

therefore midsegment = (35 + 71)/2 = 53.

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The next term of the geometric series will be 24 / 5.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

Given geometric series is 3/5, 6/5, and 12/5.

Common ratio = ( 6/5 ) / ( 3/5 )

Common ratio = 2

The next term will be: ( 12 / 5 ) x 2 =  24 / 5

Therefore, the next term of the geometric series will be 24 / 5.

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Answer:

woooooowwoowww your terrible

Step-by-step explanation:

gude

a) To determine the items that are frequent when the support threshold is 5, we compare the count of each item with the threshold. Items with counts greater than or equal to 5 are considered frequent items. In this case, we have a transactional dataset where each basket contains all the integers that divide b without any remainder. Therefore, the count of each item can be calculated based on the number of baskets that contain it. Since item 1 is present in all baskets, its count is equal to the total number of baskets, which is 100.

b) When the support threshold is 5, the pairs of items that are considered frequent are known as frequent item pairs. The process involves using the concept of self-join to generate candidate pairs and then pruning those candidates that do not meet the support threshold. This algorithm allows us to discover the frequent item pairs in the dataset.

Exercise 6.1.1:

For this transactional dataset, the sum of the sizes of all the baskets is calculated as follows:

Sum = 100 + 50 + 33 + 25 + 20 + 16 + 14 + 12 + 11 + 10 = 3401

Exercise 6.1.2:

In the item-basket data from Exercise 6.1.1, the largest basket is basket 1, as it contains all 100 items.

Exercise 6.1.3:

Suppose we have 100 items numbered from 1 to 100, and 100 baskets also numbered from 1 to 100. In this case, item i is considered to be in basket b if and only if b divides i without any remainder. For example, basket 12 consists of items {12, 24, 36, 48, 60, 72, 84, 96}. To repeat Exercise 6.1.1 for this data, we would need to calculate the frequent items based on the support threshold of 5.

a) If the support threshold is 5, we determine the frequent items by comparing the count of each item with the threshold. Items with counts greater than or equal to 5 are considered frequent.

b) If the support threshold is 5, we identify the frequent item pairs by using the self-join technique to generate candidate pairs and then pruning those candidates that do not meet the support threshold. This process allows us to discover the frequent item pairs in the dataset.

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Answer:

Step-by-step explanation:

He made a mistake at step 2.

it is same as x² - 9x + 20 = 0

It should be:

Let's solve

\(\\ \sf\longmapsto x^2-12x=-20\)

\(\\ \sf\longmapsto x^2-12x+20=0\)

\(\\ \sf\longmapsto x^2-10x-2x+20=0\)

\(\\ \sf\longmapsto x(x-10)-2(x-20)=0\)

\(\\ \sf\longmapsto (x-10)(x-2)=0\)

\(\\ \sf\longmapsto x=10\:or x=2\)

Option B

I attached a diagram that will aid the understanding of the question.

Firstly, I would love to review what a scale factor is before going into the question.

If you have two shapes that are similar, that is they have corresponding angles, then the scale factor of one to the other is simply the ratio of any two corresponding lengths in the two similar geometric figures.

Looking at these figures in the question, we see that R is an enlargement of the other rectangles while Q is an enlargement of P and S. With this information we can answer the questions:

1. From P to Q, the scale factor greater than one because Q is bigger than P.

2. From P to R, the scale factor is greater than one for the same reason.

3. From Q to S, the scale factor is less than one because S is smaller than Q.

4. From Q to R, the scale factor is greater than one because R is bigger than Q.

5. From S to P, the scale factor is equal to one because they are equal.

6. From R to P, the scale factor is less than one because p is smaller than R.

7. From P to S, the scale factor is equal to one because they are equal.

Answer:

0.76

Step-by-step explanation:

0.48, 0.66, 1.02, 0.82, 0.7, 0.94

Organize the numbers from least to greatest.

0.48, 0.66, 0.7, 0.82, 0.94, 1.02

Then find the middle (Median is the middle).

0.48, 0.66, 0.7, |?| 0.82, 0.94, 1.02

Take the two numbers closest to the middle. Add them.

0.7 + 0.82

= 1.52

Divide that with 2.

= 0.76

Answer:

0.76

Step-by-step explanation:

Answer:

The picture cuts off the rest of he question please take another.

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = w h l

V = 7.5 * 7.5 * 6

V = 337.5cubic feet * 0.05

V = 16.875Lbs

V = 17Lbs (Rounded to nearest pound)

The difference between the water levels for the high and low tide was 3. 6 feet. the equation to find the water level at high tide x = y + 3.6, where  High Tide Water Level = x and  Low Tide Water Level = y.

In simple form it will be  High Tide Water Level = Low Tide Water Level + 3.6. To explain this equation, the water level at high tide is equal to the water level at low tide plus 3.6 feet. The variable 'x' represents the water level at high tide, while the variable 'y' represents the water level at low tide. By adding 3.6 feet to the water level at low tide, we can find the water level at high tide.  

For example, if the water level at low tide is 4 feet, the water level at high tide would be 4 + 3.6 = 7.6 feet. To find the water level at high tide for any given low tide water level, one can simply add 3.6 feet to the known low tide water level. This equation can be used to accurately calculate the water level at high tide for any given low tide water level.

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Answer:

w = 59

Step-by-step explanation:

90 + 31 +w = 180

121 +w = 180

w = 180 - 121

w = 59

The area under the standard normal curve between z=-2.95 and z=2.61 is approximately 0.9942.

What is curve?

A curve is a geometrical object that is made up of points that are continuous and connected to form a line or a path. It can be defined mathematically by an equation or parametrically by a set of equations that describe the x and y coordinates of points on the curve as a function of a parameter such as time or distance along the curve.

Using a standard normal distribution table, we can find the area under the curve between z=-2.95 and z=2.61 as follows:

Area = Phi(2.61) - Phi(-2.95)

Where Phi(z) represents the cumulative distribution function of the standard normal distribution.

From the standard normal distribution table, we find:

Phi(2.61) = 0.9959

Phi(-2.95) = 0.0017

Therefore, the area under the curve between z=-2.95 and z=2.61 is:

Area = 0.9959 - 0.0017 = 0.9942

Rounding to four decimal places, we get:

Area ≈ 0.9942

Therefore, the area under the standard normal curve between z=-2.95 and z=2.61 is approximately 0.9942.

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The equation using the absolute value function is x+2y-8=0.

In the given graph, we have:

(h, k) ∈ (4, 2) and a = -1/2

In the general absolute value function, substitute these values:

Let's f(x) be y:

Therefore, the equation using the absolute value function is x+2y-8=0.

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To calculate the posterior probability P(A[X]), we can use Bayes' theorem:

P(A[X]) = (P(X[A]) * P(A)) / P(X)

Given:

A. P(A) = 0.87 (Prior probability of state A)

B. P(X|A) = 0.63 (Probability of outcome X given state A)

We need the value of P(X) to calculate the posterior probability. To find P(X), we can use the law of total probability:

P(X) = P(X|A) * P(A) + P(X|B) * P(B)

Given:

C. P(Y|B) = 0.92 (Probability of outcome Y given state B)

To calculate P(X|B), we can use the complement rule:

P(X|B) = 1 - P(Y|B)

P(X) = P(X|A) * P(A) + P(X|B) * P(B)

= 0.63 * 0.87 + (1 - 0.92) * (1 - 0.87)

= 0.5481 + 0.024

= 0.5721

Now we can calculate the posterior probability P(A[X):

P(A[X]) = (P(X[A]) * P(A)) / P(X)

= 0.63 * 0.87 / 0.5721

≈ 0.956 (rounded to two decimal places)

Therefore, the posterior probability P(A[X]) is approximately 0.956.

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It appears that a Type II error was made in the hypothesis test conducted by the user.

A Type II error, also known as a "false negative," is a statistical error that occurs when a null hypothesis is actually true, but a hypothesis test fails to reject the null hypothesis, leading to the incorrect conclusion that there is no significant effect or difference when, in fact, there is.

According to the given information:

Based on the given information, it appears that a Type II error was made in the hypothesis test conducted by the user.

In this case, the user claimed that the mean number of shades the toothpaste whitens teeth is less than four, and conducted a hypothesis test to test this claim. However, the given information states that the true mean number of shades the toothpaste whitens teeth is actually four. If the user failed to reject the null hypothesis, it means that they did not find enough evidence to support their claim that the mean number of shades is less than four, even though it is actually true.

This would be a Type II error because the null hypothesis (which assumes that the mean number of shades is four) is actually true, but the test failed to detect this and erroneously failed to reject the null hypothesis. In other words, the user made an error in concluding that there is no significant effect or difference, when in fact there is.

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Answer:

hmm

Step-by-step explanation:

Answer:

x>-12

Step-by-step explanation:

x + 15 > 3 (Group like terms)

x>3-15

x>-12

The statement "if p is less than alpha, reject the null hypothesis" is referring to hypothesis testing in statistics. In hypothesis testing, we compare the p-value (probability value) to a pre-determined significance level called alpha (α). The significance level is typically set to 0.05 or 0.01.

Here's a step-by-step explanation of what this statement means:
1. The null hypothesis (H₀) assumes that there is no significant difference or relationship between variables.
2. The alternative hypothesis (H₁) assumes that there is a significant difference or relationship between variables.
3. We conduct a statistical test and obtain a p-value, which represents the probability of obtaining a result as extreme as the one observed, assuming the null hypothesis is true.

4. If the p-value is less than the significance level (alpha), we reject the null hypothesis. This means that the observed result is unlikely to have occurred by chance, and we have evidence to support the alternative hypothesis.
5. If the p-value is greater than or equal to alpha, we fail to reject the null hypothesis. This means that the observed result could reasonably have occurred by chance, and we do not have enough evidence to support the alternative hypothesis.

For example, if we set alpha to 0.05 and obtain a p-value of 0.02, which is less than 0.05, we would reject the null hypothesis. This suggests that the observed result is statistically significant and supports the alternative hypothesis. However, if the p-value is 0.06, which is greater than 0.05, we would fail to reject the null hypothesis.

In summary, when p is less than alpha, we reject the null hypothesis, indicating that there is evidence to support the alternative hypothesis.

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If the square matrix A^2 is the zero matrix, then the only eigenvalue of A is 0.

Let's assume that A is an n x n matrix and A^2 is the zero matrix. To find the eigenvalues of A, we need to solve the equation Ax = λx, where λ is an eigenvalue and x is the corresponding eigenvector.

Suppose λ is an eigenvalue of A and x is the corresponding eigenvector. Then, we have:

A^2x = λ^2x

Since A^2 is the zero matrix, we have:

0x = λ^2x

This implies that either λ^2 = 0 or x = 0. However, x cannot be the zero vector because eigenvectors are non-zero by definition. Therefore, λ^2 = 0 must be true.

The only solution to λ^2 = 0 is λ = 0. Hence, 0 is the only eigenvalue of A when A^2 is the zero matrix

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Pieces of information can be gathered from these box plots are:

(a) On average, the basketball players are taller.

(b) The heights of the basketball players vary noticeably, more than field hockey team.

From the given information, we can gather the following pieces of information:

(a) The basketball players are taller on average. This can be inferred from the fact that the median (the vertical line segment within the box) of the basketball team's heights (188 cm) is higher than the median of the field hockey team's heights (163 cm).

(b) The heights of the basketball players vary noticeably more than those of the field hockey team.

This can be inferred from the interquartile range (IQR) of the basketball team's heights, which is from 173 cm to 191 cm (a difference of 18 cm), and the IQR of the field hockey team's heights, which is from 160 cm to 168 cm (a difference of 8 cm).

Additionally, the whiskers of the basketball team's boxplot are longer than those of the field hockey team's boxplot, indicating that there is greater variability in the heights of the basketball players.

Therefore, the correct answers are (a) the basketball players are taller on average and (b) the heights of the basketball players vary noticeably more than those of the field hockey team.

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The last to appear in the ones position of a number in the Fibonacci sequence is 6.

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that  is the last to appear in the ones position of a number in the Fibonacci sequence.

Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.

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Answer:

Yes

Step-by-step explanation:

Add any two sides and see if it is greater than the third   for all three sides

5+7 > 10  true

7+10 > 5  true

10+7 > 5  true

Then the three sides form a triangle

a) Manufacturers that make laptops with a hard disk of at least 100GB: Here are some manufacturers that make laptops with a hard disk of at least 100GB: Apple Asus Dell HP Huawei Lenovo Microsoft Samsung

b) Model number and price of all products (of any type) made by manufacturer B:To find the model number and price of all products (of any type) made by manufacturer B, we would need to know which specific manufacturer B is. Once we know that, we can search for their products and retrieve the model numbers and prices.

c) Model numbers of all color laser printers:The model numbers of all color laser printers will depend on the specific manufacturers. However, we can generally look for color laser printers on the websites of manufacturers such as HP, Canon, Epson, Brother, Lexmark, and Samsung to find their model numbers.

d) Manufacturers that sell laptops, but not PCs: To find the manufacturers that sell laptops but not PCs, we would need to compare the product offerings of different manufacturers and identify those that only offer laptops and not desktop PCs. Some examples of such manufacturers include Apple and Huawei, who do not offer desktop PCs but only offer laptops and tablets.

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Answer:

y=15

Step-by-step explanation:

first, add 6 to each side. the equation is now 3y=45

simply divide 45 by 3 to get

y=15

Answer:

y=15

Step-by-step explanation:

3y-6=39

add six to the other side

3y=45

divide 45 by 3

y=15

The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

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Answer:

√408

Step-by-step explanation:

First of all, let's name the top triangle n and the bottom one m, you can name them as you'd like.

okay, so, based on the Pythagorean theorem, a^2 + b^2 = c^2

now, we know that the area that is 12 units long, is equivalent to the hypotenuse of m, (it's very important that the bottom right angle is 90 degrees) and therefore, (5^2 = 25)    5^2 + ___ = 12^2  now let's solve that:

25 + _____ = 144 now just fill in the blank. With a simple subtraction, we get 119 (144 - 25 = 119), now remember, this is c^2 of m

and, 12+5=17 so, a of the n triangle is 17.

so let's put everything together: 17^2 + 119 = x^2

now, we're gonna calculate it: 17^2 = 289 and we're gonna add that to 119, so we get 408: 289 + 119 = x^2

But, this is x^2, and we want to find the value of x, so we have to find the square root of 408. Since we get a number with a lot of decimals in front of it, we're just gonna leave it as is, therefore the answer is √408

Hope it helped!