Drag numbers to write an equation for the line slope-intercept form. Numbers may be used once, more than once, or not at all.

The total surface area of the box is 138in².

What is surface area of cuboid?

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

Hence, The function that represents the surface area of this box as a

function of its height is S = 32+16H where H is the height of the box

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

S = 138in²

Hence the total surface area of the box is 138in².

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Given the triangles S T U and X Y Z shown in the diagram and △STU ~ △XYZ. We need to select all the true statements. By the definition of similar triangles, the corresponding sides are proportional.

So, Start Fraction ST Over XY End Fraction = Start Fraction TU Over YZ End Fraction.

This statement should be accurate.

Let's check this for the given triangles;

Start Fraction 10 Over 20 End Fraction = Start Fraction 8 Over 16 End Fraction 0.5 = 0.5.

So, the statement is true, actually.

Let's check this for the given triangles;

Start Fraction XY Over ST End Fraction = Start Fraction YZ Over TU End Fraction.

So, the statement should be accurate, actually.

Let's check this for the given triangles;

Start Fraction 20 Over 10 End Fraction = Start Fraction 16 Over 8 End Fraction 2 = 2

So, the statement is true, actually.

Using the angles in the triangles, we can say that the statement ∠S ≅ ∠X and ∠T ≅ ∠Y should be true. Let's check this for the given triangles;

∠S = 100° and ∠X = 100°; ∠T = 40° and ∠Y = 40°.Thus, the statement is true.

Using the ratio of sides in similar triangles, we have

Start Fraction SU Over XZ End Fraction = Start Fraction ST Over XY End Fraction

Multiplying both sides by XY, we get

SU = XZ × Start Fraction ST Over XY End Fraction

We know that ST = 10 and XY = 20

Substituting these values, we have

SU = {XZ × Start Fraction 10}{20 End Fraction SU} = XZ × 0.5

Thus, the statement SU = XZ should be false.

From the given triangles, we have △STU ~ △XYZ. By the definition of similar triangles, the corresponding sides are proportional. Next, using the angles in the triangles, we can say that ∠S ≅ ∠X and ∠T ≅ ∠Y are congruent as the corresponding angles of similar triangles.

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The probability that individual ii-2 exhibits the disease given a 75% penetrance is 0.75 or 75%.

Penetrance refers to the probability of an individual expressing a particular trait or disease given their genetic makeup. In this case, the penetrance of the disease is 75%, which means that there is a 75% chance that an individual with the genetic mutation for the disease will actually exhibit the disease. Therefore, the probability that individual ii-2 exhibits the disease given this penetrance is also 0.75 or 75%.

1. Penetrance is the probability that an individual with a specific genotype will express the associated phenotype or disease.
2. In this case, the penetrance of the disease is 75%, which means there is a 75% chance that an individual with the disease-associated genotype will exhibit the disease.
3. Given this penetrance, the probability that individual ii-2 exhibits the disease is 0.75 or 75%.

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Answer:

Step-by-step explanation:

To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100

ex: 11% = 11/100

Answer:

The answer is 352 cubic units

To find the set that satisfies the given condition, we need to perform the set operation ETCH (set intersection) on the sets A, B, and C.The correct choice is OA. A = {4}.

The set A = {2, 3, 4}, set B = {4, 6, 8, 9}, and set C = {3, 4, 9}. To find the ETCH (set intersection), we need to identify the elements that are common to all three sets.

Upon examining the sets A, B, and C, we find that the element 4 is the only element that is present in all three sets. Therefore, the set obtained by performing the ETCH operation on sets A, B, and C is {4}.

Hence, the correct choice is OA. A = {4}.

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Answer: Elevation is going to be greater than 5.71059°

Step-by-step explanation: 60/600 = tan∅ = 0=5.71059°,   so 0> 5.71059°

The correct unit​ rate is 3 pound per quart. Henry's must have multiplied the parameters instead of dividing.

Given that, Henry incorrectly said the rate 1 /6 pound 1 /18 quart can be written as the unit rate 1/108 pound per quart.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Now, unit rate = 1/6 ÷ 1/18

= 1/6 × 18/1

= 3 pound per quart

Therefore, the correct unit​ rate is 3 pound per quart. Henry's must have multiplied the parameters instead of dividing.

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To convert the given polar equation to rectangular form, here are the steps.

1. Remember that sec θ = 1/cos θ. This means, the given polar equation can also be written as:

2. We can multiply cos θ to both sides of the function to remove the cos θ in the right side.

3. Since we know that x = r cos θ, we can say that x = -3. This is the rectangular form of the equation.

The Probability of red light is 0.3

P(red) = 0.3

The probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light be 0.25.

P(exactly three get stopped by red light)=0.25

The correct option is (d) P(red)=.3,P(exactly 3 get stopped)=.25

A binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.

The occurrence,

p= probability of a red light

 =\(\frac{15}{15+5+30}\)

 = \(\frac{15}{50}\)

 = 0.3

Hence, Probability of getting red light be,

P (red)= 0.3

Now, the Binomial distribution formula,

Probability=( \(_r^nC\))\(\;p^{r} \;q^{n-r}\)

where, r = number of times for a specific outcome within n trials

\(_r^nC\)   = number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trial

According to question,

          = 1- 0.3

          = 0.7

Now using the formula, ( \(_r^nC\))\(\;p^{r} \;q^{n-r}\)

P( exactly 3  get stopped) = ( \(_3^8C\))\(\;(0.3)^{3} \;(0.7)^{8-3}\)

                                            = \(\frac{8!}{3!(8-3)!}\) \((0.027) \; (0.7)^{5}\)

                                           =  \(\frac{8!}{3!(5)!}\)\((0.027) \; (0.16807)\)

                                           = \(\frac{8 * 7 * 6 }{3 * 2}\) x 0.027 x 0.16807

                                           = 56 x 0.00453789

                                           = 0.25412184

                                          ≈ 0.25

Hence, Probability of next eight eastbound so that exactly three will stopped by a red light be 0.25.

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The degrees of freedom that would be used to find a confidence interval for the difference in means, when given two samples from populations G and H are 107.

A confidence interval is an estimate of the value of an unknown population parameter based on the values of a random sample of observations drawn from the population. It is an interval estimate combined with a probability statement. The probability statement indicates the level of confidence that the parameter is within the interval's boundaries.

The confidence interval is always represented in terms of the population parameter. Therefore, if one were to construct a confidence interval for a population mean, it would be in the form of (x-bar ± error), where x-bar is the sample mean and error is the margin of error.

Degrees of freedom is a statistical term that refers to the number of independent values that can be varied in a sample without changing the sample's variance. It's utilized in hypothesis testing, where it is used to determine the number of degrees of freedom for a sample's distribution.

The degree of freedom (df) for a hypothesis test is the number of observations in a sample that are free to vary after certain limitations have been imposed on the data.

In hypothesis testing, degrees of freedom are used to determine whether or not a given hypothesis is statistically significant. Degrees of freedom also influence the accuracy of statistical estimates based on a sample dataset.

The formula for degrees of freedom is (n-1), where n is the sample size.

In this case, the degrees of freedom would be:

52 + 57 - 2 = 107

Therefore, the degree of freedom would be 107.

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Answer:

4x - 5y + 4z = 19

x + 5y - z = -20

5x + 3z = -1

-x - 5y - 5z = 2

x + 5y - z = -20

-6z = -18

z = 3

5x + 3(3) = -1

5x + 9 = -1

5x = -10

x = -2

-2 + 5y - 3 = -20

5y - 5 = -20

5y = -15

y = -3

x - 2, y = -3, z = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-x - 5y - 5z = 2

x + 5y - z = -20

-6z = -18

z = 3

4x - 5y + 12 = 19

x + 5y - 3 = -20

4x - 5y = 7

x + 5y = -17

5x = -10

x = -2

2 - 5y - 15 = 2

-5y - 13 = 2

-5y = 15

y = -3

{x = -2, y = -3, z = 3}

Answer:  Multiply the numerators then multiply the denominators.​

Step-by-step explanation:

When multiplying fractions, there is no need to find a common denominator like in adding fractions, one must just multiply the numerators together and then the denominators.

The product of the numerators will be the numerator on the resulting fraction and the product of the denominators will be the denominator.

For instance:

¹/₂ * ¹/₂ = 1 * 1 for the numerators and 2 * 2 for the denominators.

Result will be ¹/₄.

Answer:  Multiply the numerators then multiply the denominators.​

Example

2/3 x 4/5 = 8/15

Answer:

 y = 4/3x - 3

Step-by-step explanation:

4x - 3y = 9

+ 3y         + 3y

4x = 3y + 9

- 9         -9

4x - 9 = 3y

divide all by 3

4/3x - 3 = y

The equation is solved for y and the solution is y = ( 4x - 9 ) / 3

Given data ,

Let the expression be represented as A

Now, the value of A is

4x - 3y = 9

On solving for y , we get

Adding 3y on both sides of the equation , we get

3y + 9 = 4x

Subtracting 9 on both sides of the equation , we get

3y = 4x - 9

Dividing by 3 on both sides of the equation , we get

y = ( 4x - 9 ) / 3

On simplifying the equation , we get

( 4x - 9 ) / 3

Hence , the equation is y =  ( 4x - 9 ) / 3

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The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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Answer:

Only part a; still haven't figured out b

Step-by-step explanation:

For a) the answers would be:

x: -5 0 3

y: -3 2 5

The equation says add y = x+2

Replace x with let's say -5, and we get y = -5+2

-5+2=-3

Answer:

10.8

hope this helps

Answer:

\(\boxed {10.8}\)

Step-by-step explanation:

The equation:

\(\sqrt{116}\)

Simplify:

\(\sqrt{116}\)

\(2\sqrt{29} \approx 10.77\)

-Round the approximation to the nearest tenth:

\(\boxed {10.8}\)

Answer:

Anywhere between -$21 and -$20

Step-by-step explanation:

\(x < -20\) AND \(x > -21\)

Examples include:
\(-$20.01\)

\(-$20.10\)

\(-$20.20\)

\(-$20.30\)

\(-$20.40\)

\(-$20.50\)

\(-$20.60\)

\(-$20.70\)

Answer:

It equals -3/4.

Step-by-step explanation:

3/4 + -4/2 = -5/4

-5/4 + -3/4 = -2

-2 + 5/4 = -3/4

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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The required probability that she'll use a cab exactly one time is  4/9.

probability is a part of math that arrangements with figuring out the probability of the event of an occasion.

Elizabeth lives in San Francisco and works in Mountain View.

In the first part of the day she has 3 transportation choices  (bus, cab, train) to work, and at night she has similar 3 options for her outing home.

All transportation  (bus, cab, train) are comparably liable to be chosen, and 1 of them should be chosen in the first part of the day and night, so we get:

P (bus) = P (taxi) = P (train) = 1/3.

We additionally have P(no taxi in night) = P(no taxi at morning) = 2/3

Presently, P(using taxi precisely once) = P(cab at morning and no taxi at night) + P(no taxi at morning and taxi at night)

= P(cab, no taxi) + P(no taxi, taxi)

= 1/3 × 2/3 + 2/3 × 1/3

= 2/9 + 2/9

= 4/9

Consequently, the probability that Elizabeth utilizes a taxi just once is 4/9.

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Answer:

i don't know how to answer

Step-by-step explanation:

Step-by-step explanation:

well, we have 1 4/5 miles in 1/4 hour, that means we have one quarter of the time unit of the requested speed unit.

so, we need to multiply everything by 4 to get to miles per hour :

(1 4/5) × 4 / 1 hour = (5 + 4)/5 × 4 = 9/5 × 4 = 36/5 =

= 7 1/5 mph = 7.2 mph

a) Using an even value of k in the k-NN classifier can lead to ties in the decision-making process.

b) The emergence of Bayesian Belief Network is driven by the need for probabilistic models to represent uncertain knowledge and make inferences.

c) Scaling is necessary in k-NN to ensure that features with larger ranges do not dominate the distance calculation.

d) The mathematical relation between Manhattan distance and Euclidean distance is given by Manhattan distance = √(Euclidean distance).

e) A dendrogram is not applicable in K-means clustering algorithm because it does not provide a hierarchical representation of the clusters.

f) Minimum spanning tree (MST) is appropriate for divisive hierarchical clustering as it allows for a step-by-step division of clusters based on the minimum dissimilarity.

g) The size of the proximity matrix can be reduced from m^2 to about m^2/2 for symmetric distance measures.

h) Matching each transaction against every candidate is computationally expensive in brute-force approach due to the high number of comparisons required.

i) The mathematical relation between k (from k-itemset) and w (maximum transaction width) depends on the specific problem or algorithm being used.

j) The possible subsets of size 3 in a transaction t of n items can be calculated using the combination formula: C(n, 3) = n! / (3! * (n-3)!).

k) The total number of possible association rules in brute-force approach with d = 3 items can be calculated as 3^2 - 3 = 6 using the formula 2^(d^2) - d.

Using an even value of k in the k-NN classifier can lead to ties in the decision-making process. When k is even, there is a possibility of having an equal number of neighbors from different classes, resulting in ambiguity in assigning the class label.

The Bayesian Belief Network has emerged as a solution to represent uncertain knowledge and make inferences. It utilizes probabilistic models and graphical structures to capture the dependencies and conditional relationships between variables, allowing for reasoning under uncertainty.

Scaling is necessary in k-NN to ensure fair comparison between features with different ranges. Without scaling, features with larger numerical values would dominate the distance calculation and potentially bias the classification process.

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Answer:

Yes, actually I have five/5

Step-by-step explanation:

1 - If ABCD is a cyclic quadrilateral, then show that cos A + cos B + cos C + cos D = 0.

2 -  Show that, cos^2A + cos^2 (120° - A) + cos^2 (120° + A) = 3/2

3 -  If A, B, and C are angles of a triangle, then prove that tan A/2 = cot (B + C)/2

4 - If tan x - tan y = m and cot y - cot x = n, prove that, 1 /m + 1/n = cot (x - y).

5 - If tan β = sin α cos α/(2 + cos^2 α) prove that 3 tan (α - β) = 2 tan α.

Hope this helped!

Answer:

Step-by-step explanation:

ΔABC ≅ ΔDEF

The length AB = 28 and the length of DE = 7. Since these are corresponding sides, we know that DEF= 1/4 (ΔABC)

So, since ΔABC = 160, we know that ΔDEF will be 1/4 of that, meaning that ΔDEF is 40.

ΔDEF = 40cm²

Answer:

10 cm2

Step-by-step explanation:

The ratio per side is 28/7 = 4

When two similar figures have a ratio of 4:1, the difference between their areas is:

\((4)^{2} :(1)^{2}\)

\(16:1\)

That is, the dimension of the area of the largest figure is 16 times larger than the smallest figure.

So for this case:

the area of the larger figure is

ΔABC = 160 sq.cm

Then the area of the minor figure is:

ΔDEF= 160/16 = 10 sq.cm

Hope this helps

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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In a continuous probability distribution, a random variable can take any value in a specified range. (Option D)

A probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. Continuous probability distribution refers to a probability distribution with continuous types of data or random variables where the random variable can take on any value and is continuous. As there are infinite values that the variable can assume, the probability of the variable assuming any one specific value is zero. A continuous distribution is characterized by a range of values that are infinite, and therefore uncountable. The normal distribution is one example of a continuous distribution.

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Answer:

Stuck In same question Jinx

Step-by-step explanation: