Use the ordered pairs from the graph to fill in the missing values in the table.

Therefore, the solutions to the simultaneous equation are (x, y) = ((5 + √(21))/2, (5 - √(21))/2) and (x, y) = ((5 - √(21))/2, (5 + √(21))/2).

To solve the simultaneous equation 1÷x + 1÷y = 5, 1÷y - 1÷x = 1, we can use the substitution method. Here are the steps to solve the equation:
1. Rearrange the first equation to get 1÷y = 5 - 1÷x
2. Substitute this into the second equation to get 1÷(5 - 1÷x) - 1÷x = 1
3. Multiply both sides by x(5 - 1÷x) to get x - (5 - 1÷x) = x(5 - 1÷x)
4. Simplify and rearrange to get x² - 5x + 1 = 0
5. Use the quadratic formula to solve for x: x = (-(-5) ± √((-5)² - 4(1)(1)))÷(2(1)) = (5 ± √(21))/2
6. Substitute the values of x back into the first equation to find the corresponding values of y: y = 1÷(5 - 1÷((5 + √(21))/2)) = (5 - √(21))/2 and y = 1÷(5 - 1÷((5 - √(21))/2)) = (5 + √(21))/2

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Answer: what is your question

Step-by-step explanation:

Answer:

ok, the y intercept is 0.9

Step-by-step explanation:

what are the dropdowns

To solve the equation 7x, we need to clarify the specific goal or condition. If we are looking for the value of x that makes the equation equal to a specific number, such as 0, the solution would be x = 0. However, if we are solving for x in terms of another variable or in an equation with more components, further information is needed to provide a meaningful answer.

The equation 7x represents a linear equation in one variable, where 7 is the coefficient of x. If we are solving for x in an equation of this form, we need an additional equation or condition to determine a unique solution. Without any further information or constraints, the equation 7x does not have a specific solution.

To provide a more comprehensive explanation, let's consider an example. Suppose we have the equation 7x = 21. To solve for x, we divide both sides of the equation by 7:

7x/7 = 21/7

x = 3

In this case, the value of x that satisfies the equation 7x = 21 is x = 3. We can substitute this value back into the equation to verify its correctness:

7(3) = 21

21 = 21

The equation holds true, confirming that x = 3 is the solution. However, without a specific condition or another equation to work with, the equation 7x on its own does not have a unique solution.

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Answer:

The correct answer is D: Head, head Tail, tail Head, tail Tail, head.

Step-by-step explanation:

When Henry tosses a coin twice, there are four possible outcomes, each with equal probability:

Head, head

Tail, tail

Head, tail

Tail, head

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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Answer:

\( - \frac{1}{2} ( - 6x + 8y) \\ = \frac{1}{2} (6x - 8y) \\ = 3x - 4y\)

Answer: The answer to this is 7.

H² = B² + P²

(25)² = (24)² + p²

625 = 576 + p²

p² = 49

p = 7

Answer:

135°, 135° and 90°

Step-by-step explanation:

It is given a triangle with a right angle (90°) and the other two angles have equal measures, so they are both (45°)

exterior angles are thus 180 - 45, 180 - 45, 180 - 90

which are 135°, 135° and 90°.

The range of the given function is expressed as;

{4, 7, 10, 13}

In mathematics, the range of a function is defined as the set of all possible output values for every possible input value.

Now, in this question, we given;

Function; f(x) = 3x + 7

Domain = {-1, 0, 1, 2}

To find the range. we will plug in each of the domain values for x in the given function to get;

when x = 1;

f(1) = 3(1) + 7

f(1) = 10

When x = 2;

f(2) = 3(2) + 7

f(2) = 13

When x = 0;

f(0) = 3(0) + 7

f(0) = 7

When x = -1;

f(1) = 3(-1) + 7

f(1) = 4

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Step-by-step explanation:

I'm not sure what you're looking for exactly, but it translates to this equation

4x + 7 = 31

The probability that our guess is correct is 0.857.

Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are.

Explanation in detail:

A Conditional Probability with Biased Coins is used to answer the given question.

Given information:

P(Head | A) = 0.1 and P(Head | B) = 0.6.

We know that P(B) = 0.5 = P(A) by applying Bayes' theorem, because coins A and B are equally likely to be chosen.

P(Head) now equals P(A) P(head | A) + P(B) P(Head | B).

By inserting the value, we obtain P(Head) = 0.5 0.1 + 0.5 0.6 P(Head) = 0.35

When we enter this value into, we obtain Similarly.

As a result, the likelihood of our guess being true is 0.857.

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Answer:

she wills substitute r with 7%.

Step-by-step explanation:

Just did it.

Answer:

R = 7%

Principal (P)

Rate (R)

Time (t)

Step-by-step explanation:

The full intrest rate formula is i=prt

You are looking for r

R is the interest rate 7%

So i = 12,876*7%*3years will be the full equation.

By simple algebra, Jane is 57 9/20 inches taller.

If one object or person's height exceeds that of another, the taller object or person is said to exist. There is a two-object or two-person limit. Taller is a relative term. For instance: Hoppy stands at 7 feet.

You can begin this issue by first figuring out Dwight's height. At 54 3/4 inches, he would be 1 1/2 inches taller than Chloe:

54 3/4 plus 1 1/2 equals 55 + (3/4 + 1/2) equals 55 + (3/4 + 2/4) equals 55 + 5/4 equals 56 1/4 inches.

Dwight stands at 56 1/4 inches.

Dwight is 1 1/5 inches shorter than Jane, so

56 1/4 plus 1 1/5 is 57 plus (1/4 plus 1/5) is 57 plus (5/20 plus 4/20) is 57 plus 9/20 is 57 9/20 inches.

Jane stands at 57 9/20 inches.

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Answer:

8 minutes per page.

Step-by-step explanation:

32/4= 8

Answer:its actually yes, yes, no

Step-by-step explanation:

I have the answer bc it showed the answer on my test right after

there are 2 radius given and the radius extends to form a right angle triangle

6^2+ x^2 = (4+6)^2

36 + x^2 = 100

x^2=100-36

x=√44

x=6.6

hope it helps

Answer: (- 1, 3 )

Step-by-step explanation:

Answer: 1.9%

Step-by-step explanation:

The percent error formula is \(\frac{accepted-experimental}{accepted}\) so input our values also keep in mind when we do percent error we use absolute error which means no negative percentages so 470-479/470= -9/470 or 9/470

as a decimal 9/470 is 0.019 or 1.9% so the answer is 1.9%

The range of the function g(x) is [300, ∞)

In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.

The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.

We need to find the range of the function.

Since a savings account earns interest annually, x can have take values from 0 to infinity.

For x = 0 year,

g(0) = 300(1.04)^0

g = 300 * 1

g = 300

For x tends to ∞, the value of function would be ∞

Therefore, the range of the function g(x) is [300, ∞)

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I guess you're asking about the probability density for the random variable \(|A-B|\) where \(A,B\) are independent and identically distributed uniformly on the interval (0, 15). The PDF of e.g. \(A\) is

\(\mathrm{Pr}(A=a) = \begin{cases}\dfrac1{15} & \text{if } 0 < a < 15 \\\\ 0 & \text{otherwise}\end{cases}\)

It's easy to see that the support of \(|A-B|\) is the same interval, (0, 15), since \(|x|\ge0\), and

• at most, if \(A=15\) and \(B=0\), or vice versa, then \(|A-B|=15\)

• at least, if \(A=B\), then \(|A-B|=0\)

Compute the CDF of \(C=|A-B|\) :

\(\mathrm{Pr}(C\le c) = \mathrm{Pr}(|A - B| \le c) = \mathrm{Pr}(-c \le A - B \le c)\)

This probability corresponds to the integral of the joint density of \(A,B\) over a subset of a square with side length 15 (see attached). Since \(A,B\) are independent, their joint density is

\(\mathrm{Pr}(A=a,B=b) = \begin{cases}\dfrac1{15^2} & \text{if } (a,b) \in (0,15) \times (0,15) \\ 0 &\text{otherwise}\end{cases}\)

The easiest way to compute this probability is by using the complementary region. The triangular corners are much easier to parameterize.

\(\displaystyle \mathrm{Pr}(|A-B|\le c) = 1 - \mathrm{Pr}(|A-B| > c) \\\\ ~~~~~~~~ = 1 - \int_0^{15-c} \int_{a+c}^{15} \frac{db\,da}{15^2} - \int_c^{15} \int_0^{a-c} \frac{db\,da}{15^2} \\\\ ~~~~~~~~ = 1 - \frac1{225} \left(\int_0^{15-c} (15 - a - c) \, da + \int_c^{15} (a - c) \, da\right)\)

In the second integral, substitute \(a=15-a'\) and \(da=-da'\), so that

\(\displaystyle \int_c^{15} (a-c) \, da = \int_{15-c}^0 (15-a'-c) (-da') = \int_0^{15-c} (15 - a' - c) \, da'\)

which is the same as the first integral. This tells us the joint density is symmetric over the two triangular regions.

Then the CDF is

\(\displaystyle \mathrm{Pr}(|A-B|\le c) = 1 - \frac2{225} \int_0^{15-c} (15 - a - c) \, da \\\\ ~~~~~~~~ = 1 - \frac2{225} \left((15-c) a - \frac12 a^2\right) \bigg|_{a=0}^{a=15-c} \\\\ ~~~~~~~~ = \begin{cases}0 & \text{if } c < 0 \\\\ 1 - \dfrac{(15-c)^2}{225} = \dfrac{2c}{15} - \dfrac{c^2}{225} & \text{if } 0 \le c < 15 \\\\ 1 & \text{if } c \ge 15\end{cases}\)

We recover the PDF by differentiating with respect to \(c\).

\(\mathrm{Pr}(|A-B| = c) = \begin{cases}\dfrac2{15} - \dfrac{2c}{225} & \text{if } 0 < c < 15 \\\\ 0 & \text{otherwise}\end{cases}\)

Metcalfe and Wiebe (1987) conducted an experiment to examine whether individuals could predict how close they were to solving insight problems and algebraic problems. In insight problems, solutions are not immediately evident, whereas in algebraic problems, the correct solution is often clear but requires time to complete.

The primary objective of their research was to see whether people could anticipate when they would solve a problem, which would provide insight into the problem-solving process's nature.For their experiment, participants were given a series of algebraic and insight problems. After every ten seconds of problem-solving, they were asked to guess whether they were close to solving the problem.

Participants were less successful in predicting their progress on insight problems than on algebraic ones.

Participants were better able to forecast their progress on algebraic problems than on insight problems, according to the findings.

Participants who were more successful at solving insight problems were more likely to be able to predict their progress.

Participants were more likely to correctly anticipate their progress on the next few seconds of algebraic problems than on insight problems, according to the study's findings.

The research concluded that people's ability to predict their progress in insight problem-solving was worse than in algebraic problem-solving.

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Answer:

do you have a equation to go with x?

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\displaystyle\\ax+by=c\\\\by=c-ax\\\\\frac{by}{b}=\frac{c-ax}{b} \\\\y=\frac{c-ax}{b}\)

Answer: Basically, bottom is first. The top is second, and the middle one is last.

Step-by-step explanation:

1. Super Duper Easy, first, subtract ax, making it by = c - ax

2. Then, divide b , so by/b = c/b - ax/b

3. Becoming y = c/b - ax/b

Answer:

2y x5

Step-by-step explanation:

Answer:

(0,-1) and (0.5,0)  those are where your dots will be

Step-by-step explanation:

i went to symbolab and entered in the equation and it shows where it would be in a graph, it also shows step by step how to get solve the equation

Answer:

The -1 in the equation means that the y intersept is (0,-1) on the y axis. The 2x means the slope is 2 and the next point would be 2 points up and 1 point over because of the 2/1 or 2.  Your next point form the y-intercept would be (1,1) the (3,2) and so forth.

Answer:

Mean of data set 28,44,20,20 = (28+44+20+20)/4 = 112/4=28.

Step-by-step explanation:

The number of board games Ryan has at t = 3 years can be determined by calculating the net change in his collection over that time period.

In the given scenario, Ryan buys board games at a rate of B(t) = t per year, and donates them at a rate of D(t) = 3t per year. To find the net change in his collection, we need to subtract the rate of donation from the rate of acquisition.

At t = 3 years, the rate at which Ryan buys board games is B(3) = 3 games per year, and the rate at which he donates board games is D(3) = 3(3) = 9 games per year. Therefore, the net change in his collection is 3 - 9 = -6 games per year.

Since the net change is negative, it means that Ryan is losing board games from his collection at a faster rate than he is acquiring them. Starting with 80 board games at t = 0 years, after 3 years, he would have 80 - 6(3) = 80 - 18 = 62 board games.

Therefore, to the nearest board game, Ryan would have approximately 62 board games at t = 3 years. Hence, the answer is not listed among the options given.

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