Given ∠3≅∠13, which lines, if any, must be parallel based on the given information? Justify your conclusion. Responses a∥b, Converse of the Alternate Interior Angles Theorem a is parallel to b, , Converse of the Alternate Interior Angles Theorem c∥d, Converse of the Same-Side Interior Angles Theorem c is parallel to d, , Converse of the Same-Side Interior Angles Theorem c∥d, Converse of the Corresponding Angles Theorem c is parallel to d, , Converse of the Corresponding Angles Theorem not enough information to make a conclusion not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.

Answer:

30, +11, 11, -1

Step-by-step explanation:

-10 + 30 = 10, 40 - 30= 10

-3 + 11 = 8

5 + (1.5 x 4) = 11

5 - (1.5 x 4) = -1

Answer:

x3y+7x2y2+10xy3

Step-by-step explanation:

Answer:

im not fully sure but I'd say it is 9(5+0.78)

The function f(x)=√x with f:R→R is injective and surjective but not bijective.

Injective (or one-to-one): f(x) is injective, which means that if f(x1) = f(x2), then x1 = x2. In other words, if the square root of x1 is equal to the square root of x2, then x1 and x2 are equal.

Surjective (or onto): f(x) is surjective, which means that for every y in the codomain (R), there exists an x in the domain (R) such that f(x) = y. In other words, the square root of any real number can always be expressed as a real number.

Bijective: f(x) is not bijective. The square root function is not bijective because it is not defined for negative values of x.

Function: A function f is a function if for every x in the domain of f, there is exactly one y in the codomain of f such that f(x) = y. In other words, each x in the domain is mapped to exactly one y in the codomain.

In the case of f(x) = √x, it is a function. For every x in the domain of f, which is [0,∞), there is exactly one y in the codomain of f, which is [0,∞), such that f(x) = y.

To know more on Bijective

https://brainly.com/question/29738050

#SPJ4

Sample evidence can support a null hypothesis, but it cannot prove it to be true.To test this hypothesis, researchers collect and analyze a sample of data.

Sample evidence can provide support for a null hypothesis, but it cannot prove it to be true. In statistical hypothesis testing, the null hypothesis assumes that there is no significant relationship or difference between variables. To test this hypothesis, researchers collect and analyze a sample of data.

If the sample evidence does not provide strong enough support to reject the null hypothesis, it means that the data does not provide enough evidence to conclude that there is a significant relationship or difference. However, this does not prove that the null hypothesis is true, as there is always a possibility of Type II error (false negative).

For example, let's say we want to test if a new drug is effective in reducing pain. The null hypothesis would be that the drug has no effect. After conducting a study and analyzing the sample data, if we fail to reject the null hypothesis, it means we don't have enough evidence to conclude that the drug is effective. However, it doesn't prove that the drug is truly ineffective.In summary, sample evidence can support a null hypothesis, but it cannot prove it to be true.

Learn more about Hypothesis here,https://brainly.com/question/606806

#SPJ11

Answer:

An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)

Step-by-step explanation:

Factor x2+ 6x + 9

Solution

We can rewrite the expression x2 + 6x + 9 in the form a2 + 2ab + b2 as;

x2+ 6x + 9 ⟹ (x)2 + 2 (x) (3) + (3)2

Applying the formula of a2 + 2ab + b2 = (a + b)2 to the expression gives;

= (x + 3)2

= (x + 3) (x + 3)

Answer:

c

Step-by-step explanation:

(5y - 1) = 4y + (9y - 4) = 5y

2y > .75

Answer:

C. The solution set is {y|y > 0.75}.

Step-by-step explanation:

Given :

Add 4 to each side.

Subtract 5y from each side.

Solution set

C. The solution set is {y|y > 0.75}.

The number of choices when choosing five sticks from a row of 30 with no two consecutive sticks is C(30,5) - C(29,3) which is equal to 3,628 choices.

The formula used to calculate the number of choices when choosing five sticks from a row of 30 with no two consecutive sticks is C(30,5) - C(29,3).

C(30,5) is a combination formula which calculates the number of possible combinations for 30 items taken five at a time. This formula would give us the total number of possible combinations of five sticks.

C(29,3) is another combination formula which calculates the number of possible combinations for 29 items taken three at a time. This formula gives us the number of combinations in which three consecutive sticks are chosen.

Therefore, the number of choices when choosing five sticks from a row of 30 with no two consecutive sticks is C(30,5) - C(29,3) which is equal to 3,628 choices.

Learn more about combinations here:

https://brainly.com/question/20211959

#SPJ4

Answer:

3/8

Step-by-step explanation:

slope = rise/run = 3/8

The given function is in vertex form, which is:

f(x) = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

Comparing the given function to the vertex form, we can see that a = -1, h = 3, and k = 8.

Therefore, the vertex of the graph is at the point (h, k) = (3, 8).

So the coordinates of the vertex of the graph are (3, 8).

The amount of paper required to cover each memory box is 5220 square inches.

Considering the edge of the cube = L units.

Thus the area of one side of the cube will be equal to L² unit².

Now, there will be 6 such sides for a closed cube then the total surface area will be 6*(L)² unit²

The given length breadth and height of the box is 35in, 24in, and 30in.

The formula for the surface area of a rectangular prism is:

SA = 2(lw + lh + wh)

Where:

SA = surface area l = length w = width h = height

For this memory box, the given length (35 in), width (24 in), and height (30 in).

Substituting  these values into the formula the SA obtained will be:

SA = 2(35 × 24 + 35 × 30 + 24 × 30) SA

= 2(840 + 1050 + 720) SA

= 2(2610) SA = 5220inches²

Therefore, the answer will be 5220 square inches.

To learn more about the surface area of a cube click on:

https://brainly.com/question/26706156

#SPJ2

The gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:

\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)

To find the gradient of the function \(\( f(x, y) = e^{3x} \sin(4y) \)\) at the point \(\((-1, -3)\)\), we need to compute the partial derivatives with respect to \(\(x\) and \(y\)\) and evaluate them at that point.

The gradient of a function is given by:

\(\[\nabla f(x, y) = \left(\frac{{\partial f}}{{\partial x}}, \frac{{\partial f}}{{\partial y}}\right)\]\)

Let's calculate the partial derivatives:

\(\[\frac{{\partial f}}{{\partial x}} = \frac{{\partial}}{{\partial x}}\left(e^{3x} \sin(4y)\right) = 3e^{3x} \sin(4y)\]\)

\(\[\frac{{\partial f}}{{\partial y}} = \frac{{\partial}}{{\partial y}}\left(e^{3x} \sin(4y)\right) = 4e^{3x} \cos(4y)\]\)

Now, we can evaluate these derivatives at the point \(\((-1, -3)\):\)

\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{3(-1)} \sin(4(-3)) = 3e^{-3} \sin(-12)\]\)

\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{3(-1)} \cos(4(-3)) = 4e^{-3} \cos(-12)\]\)

Simplifying further:

\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{-3} \sin(-12) = -3e^{-3} \sin(12)\]\)

\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{-3} \cos(-12) = 4e^{-3} \cos(12)\]\)

Therefore, the gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:

\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)

To know more about function visit-

brainly.com/question/30116196

#SPJ11

For the two electronic components with exponential distribution ,

P(ð > ð¡) = \(e^{(-\delta_{i} /5)- (-\delta_{i} /4) }\).

Name of  ð is exponential distribution and its parameters is ð ~ Exp(1/5 + 1/4).

Its numerical value of ð¸(ð) is 2.22 years

For a device with two electronic components T1 and T2.

T1 and T2 are independent of each other.

To find P(ð > ð¡),

Consider that ð (the minimum of the two lifetimes) is greater than ð¡.

This implies that both T1 and T2 must be greater than ð¡.

Since T1 and T2 are independent exponential distributions with means 5 years and 4 years respectively,

The probability of each of them being greater than ð¡ is given by the exponential survival function,

P(T1 > ð¡) = \(e^{(-\delta_{i} /5)}\)

P(T2 > ð¡) = \(e^{(-\delta_{i} /4)}\)

Since T1 and T2 are independent, the probability that both T1 and T2 are greater than ð¡ is the product of their individual probabilities:

P(ð > ð¡)

= P(T1 > ð¡) × P(T2 > ð¡)

= \(e^{(-\delta_{i} /5)}\) × \(e^{(-\delta_{i} /4)}\)= \(e^{(-\delta_{i} /5)- (-\delta_{i} /4) }\)

From the above result,

we can see that the distribution of ð the minimum of the two lifetimes follows the exponential distribution.

The parameter of the exponential distribution is the sum of the individual mean parameters,

ð ~ Exp(1/5 + 1/4)

To find the numerical value of ð¸(ð), we need to calculate the expected value of ð.

For the exponential distribution,

The expected value (mean) is given by the reciprocal of the rate parameter.

Here, the rate parameter is the sum of the individual mean parameters,

ð¸(ð) = 1 / (1/5 + 1/4)

Calculating the value,

ð¸(ð)

= 1 / (0.2 + 0.25)

= 1 / 0.45

≈ 2.22 years

The numerical value of ð¸(ð) is approximately 2.22 years.

Therefore, for the exponential distribution ,

P(ð > ð¡) = \(e^{(-\delta_{i} /5)- (-\delta_{i} /4) }\).

Distribution name of  ð is exponential distribution and its parameters is the sum of the individual mean parameters ð ~ Exp(1/5 + 1/4).

Numerical value of ð¸(ð) is 2.22 years.

Learn more about exponential distribution here

brainly.com/question/29848831

#SPJ4

The event where two or more things happen at the same time is called a "compound event."  the correct answer is B.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

A compound event refers to a situation where two or more events occur at the same time. In other words, it is an event that consists of multiple outcomes happening simultaneously.

For example, if you flip a coin and roll a dice at the same time, the resulting event would be a compound event because it involves the outcomes of both actions occurring simultaneously. It is important to distinguish between compound events and independent or dependent events, as they have different probabilities and methods of calculation. Compound events are often used in probability theory and statistics to analyze and predict the likelihood of multiple outcomes occurring at the same time.

The event where two or more things happen at the same time is called a "compound event." Therefore, the correct answer is B.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

This will give us a single value that is the best-predicted test score for a person who studies 4.5 years.

Based on the significant linear correlation between years of study and test scores, we can use regression analysis to find the best predicted test score for a person who studies 4.5 years. The regression equation can be represented as:

predicted test score = a + bx

where "a" is the y-intercept (the predicted test score when years of study is 0), "b" is the slope (the change in predicted test score for every additional year of study), and "x" is the number of years of study.

Assuming we have the necessary data and calculations for the regression equation, we can substitute x = 4.5 into the equation to find the predicted test score:

predicted test score = a + b(4.5)

Know more about correlation here:

https://brainly.com/question/31588111

#SPJ11

The proof by mathematical induction that all horses are the same color is flawed because the basis step does not make any sense. Because the basis step is invalid, the proof is incorrect overall.

Specifically, for the basis step, we cannot start with a set of 1 horse, as there is no other horse to compare it to. Hence, we cannot make any definitive claims about a single horse, and the basis step cannot be completed. The inductive step, on the other hand, is correct, assuming that the basis step was valid. By assuming that all horses in a set of n horses are the same color, we can show that horses 1 through n + 1 must be the same color. This is because the sets of horses from 1 to n and from 2 to n + 1 overlap, and therefore, by the transitive property of equality, all horses in the set from 1 to n + 1 must be the same color. However, because the basis step is invalid, the proof is incorrect overall.

To know more about induction visit:

https://brainly.com/question/32376115

#SPJ11

Answer:

162

Step-by-step explanation:

This is the answer because:

1) 1 hundred is 100

2) 5 tens is 50

3) 12 ones is 10 and 2

4) Now, we have to add 100 + 50 + 10 + 2 which is 162

5) 162 is 1 hundred, 6 tens, and 2 ones

Hope this helps!

Answer:

162

Step-by-step explanation:

you take the 1 hundred and then the ones make another ten and the ones have 2 the tens have 6 and the hundreds have 1 so

100

60

+02=162

The point estimate for the plants' survival rate in the humid environment is 42%.

To calculate the point estimate, divide the number of successful outcomes (plants alive) by the total number of trials (total plants). In this case, 21 plants were alive out of 50, so the calculation would be 21/50.

This gives you a decimal (0.42), which you can convert into a percentage by multiplying by 100, resulting in 42%. The point estimate represents the proportion of plants that survived in the humid environment after one month, providing an indication of the new environment's effect on the plants' survival.

To know more about point estimate click on below link:

https://brainly.com/question/30057704#

#SPJ11

Step-by-step explanation:

To find:-

Answer:-

The given system of equation is ,

\(\begin{cases}y = 3x + 1 \dots (\rm 1 ) \\ y = -x + 5 \dots (\rm 2) \end{cases}\)

This given set of equations are linear equations in two variables , which can be solved by various methods like elimination method and substitution method .

We would use here substitution.

We cam here substitute the value of \( y \) from equation 1 into equation 2 as ,

\(\implies y = - x + 5\)

\(\implies 3x + 1 = - x + 5\)

Now solve for \(x\) ,

\(\implies 3x + x = 5 - 1 \)

\(\implies 4x = 4 \)

\(\implies x =\dfrac{4}{4} \)

\(\implies x = 1 \)

Now substitute this value of \( x\) into equation 2 to find out \(y\) as ,

\(\implies y = -1 + 5\)

\(\implies y = 4 \)

Hence we got our answer as , x = 1 and y = 4 , which is the solution to the given set of equations.

Hence we conclude that (1,4) is a solution to the system of equations.

Yes , (1,4) is a solution .

and we are done!

According to the solution we have come to find that, The value of p/n is 3/8.

Mean is a statistical term that refers to the average value of a set of numbers. It is calculated by summing up all the values in the set and then dividing the sum by the total number of values.

Let's use the formula for the weighted average to solve this problem:

weighted average = (sum of values * weight) / (total weight)

Let p be the number of students in the first class and n be the number of students in the second class. Then, we can write:

(p * 70 + n * 92) / (p + n) = 86

Expanding the numerator:

70p + 92n = 86(p + n)

Simplifying and rearranging:

16p = 6n

p/n = 6/16 = 3/8

Therefore, the value of p/n is 3/8.

To learn more about mean visit the link:

https://brainly.com/question/1136789

#SPJ9

Answer: a and d

Step-by-step explanation:

(to find all points of discontinuity, set denominator equal to zero and solve)

\(x^2-7x+10=0\\\\\)

(to factor, find two numbers when added together equal -7 and when multiplied together equal 10)

-2 + -5 = -7

-2(-5) = 10

-2 and -5 are the two numbers

\((x-2)(x-5)=0\\\\x-2=0\\x=2\\\\x-5=0\\x=5\\\\x=2,5\)

The corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.

To perform u-substitution with indefinite integrals, follow these steps:

Identify a suitable substitution: Look for a part of the integrand that resembles the derivative of a function. Choose a variable u to substitute for that part.

Calculate du: Take the derivative of u with respect to the original variable. This will help us express du in terms of the original variable.

Rewrite the integral: Substitute the chosen variable and du in the original integral, replacing the part to be substituted with u and the corresponding differential element du.

Integrate with respect to u: Treat the integral as a new integral with respect to u. Evaluate the integral using the rules of integration.

Replace u with the original variable: Rewrite the result of the integration in terms of the original variable.

Simplify and solve: If necessary, simplify the expression further or perform additional algebraic manipulations to obtain the final result.

Let's illustrate these steps with an example:

Consider the integral ∫(2x + 3)² dx.

Identify a suitable substitution: Let u = 2x + 3.

Calculate du: Take the derivative of u with respect to x: du/dx = 2. Rearrange the equation to solve for du: du = 2 dx.

Rewrite the integral: In terms of u and du, the integral becomes ∫u² (du/2).

Integrate with respect to u: Treat the integral as a new integral with respect to u: (1/2) ∫u² du = (1/2) * (u³/3) + C, where C is the constant of integration.

Replace u with the original variable: Substitute back u = 2x + 3 in the result: (1/2) * ((2x + 3)³/3) + C.

Simplify and solve: Further simplify the expression if necessary to obtain the final result.

In summary, to perform u-substitution with indefinite integrals, identify a suitable substitution, calculate the corresponding differential element, rewrite the integral in terms of the new variable, integrate with respect to the new variable, replace the new variable with the original variable, and simplify the expression to find the solution.

Learn more about variable here

https://brainly.com/question/28248724

#SPJ11

Answer: 63

Step-by-step explanation:

Let's start with what we know. A straight line measures an angle of 180. So, at point m, we have one degree measuring 118. We do:

180 - 118 = 62

So, 62, is the angle in the corner.

We also know that the sum of the angles in a triangle = 180 so:

10x - 2 + 62 = 180

10x + 60 = 180

10x = 120

x = 12

So angle K is 63.

(Hope this is correct)

Using transformations and composite function, it is found that:

Transformations in the graph of a function involve operations such as multiplication/division or sum/subtraction, either in the domain of the function, involving values of x, or the range, involving values of y.

Examples of transformations are as follows:

For this problem, we have that:

The summary is:

The function was reflected across the y-axis, stretched in the vertical direction by a factor of 3, shifted horizontally right, shifted vertically down.

The composite function of f(x) and g(x) is given by:

(f ∘ g)(x) = f(g(x)).

From the table, we have that:

More can be learned about transformations in a function at https://brainly.com/question/28687396

#SPJ1

Answer:

s(t) = -4.9t² + 39.2t

Step-by-step explanation:

Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²

Given

g = -4.9m/s²

v0 = 39.2m/s

s0 = 0m (the initial height)

On substituting into the formula;

s(t) = gt² + v0t + s0

s(t) = -4.9t² + 39.2t + 0

s(t) = -4.9t² + 39.2t

This gives the equation that models the height

Answer:

b

Step-by-step explanation:

edge 2020

Answer:

17/2

Step-by-step explanation:

Distribute 2 to (3x-5)-> 6x-10

Move terms (6x and 7) and change the signs-> 4x-6x= -10-7

Combine like terms-> - 2x= - 17

Divide -2 on both sides so that x will be left alone-> -2/-17

Negative divided by negative turns positive-> final ans. 2/17

Answer:

The guy above me is completely wrong hahaha.

The correct answer should have a 63%.

It's probably D. The terminology is a little confusing.

The equation of the output looks like:

-7.611 + .186(x) = y

x --> Arm span

y --> Foot span

The linear relationship is formed with the armspan.

Answer: It’s D

Step-by-step explanation:

I took the test

a) We would expect about 4 people in the sample to name chocolate as their favorite flavor of ice cream.

b) The probability of exactly six people naming chocolate is 0.20190.

c) The probability of six or more people naming chocolate is 0.1118.

a) We can use the expected value formula for a binomial distribution, where the probability of success is p = 0.3 and the number of trials is n = 14:

E(X) = np = 14 × 0.3 = 4.2

Rounding this to the nearest whole number, we would expect about 4 people in the sample to name chocolate as their favorite flavor of ice cream.

b) To find the probability that exactly six people name chocolate, we can use the binomial probability formula:

P(X = 6) = (14 choose 6) ÷ 0.3⁶ × 0.7⁸

Using a calculator, we can evaluate this expression as:

P(X = 6) = 0.2019

Rounding this to 5 decimal places, the probability of exactly six people naming chocolate is 0.20190.

c) To find the probability that six or more people name chocolate, we can use the cumulative binomial probability formula:

P(X ≥ 6) = 1 - P(X < 6) = 1 - P(X ≤ 5)

We can calculate P(X ≤ 5) using the binomial cumulative distribution function or by summing the probabilities for X = 0, 1, 2, 3, 4, and 5. Using the latter method, we get:

P(X ≤ 5) = (14 choose 0) × 0.3⁰ × 0.7¹⁴ + (14 choose 1) × 0.3¹ × 0.7¹³ + (14 choose 2) × 0.3² × 0.7¹² + (14 choose 3) × 0.3³ × 0.7¹¹ + (14 choose 4) × 0.3⁴ × 0.7¹⁰ + (14 choose 5) × 0.3⁵ × 0.7⁹

Using a calculator, we can evaluate this expression as:

P(X ≤ 5) = 0.8882

Therefore, the probability that six or more people name chocolate is:

P(X ≥ 6) = 1 - P(X ≤ 5) = 1 - 0.8882 = 0.1118

Rounding this to 4 decimal places, the probability of six or more people naming chocolate is 0.1118.

Learn more about probability here,

https://brainly.com/question/31616076

#SPJ4

Answer:it's 13

please let me know if this is wrong

Answer:

Answer:

i am uncertain by the question

Step-by-step explanation:

10-3=7

10/3=3.333...

Answer:

the answer is "what are you doing step

bro"