PLEASE HELP ITS EASY MATH AND FIRST ONE WHOS CORRECT WILL GET BRAINLIST

Write an equation in slope-intercept form of the line that passes through the given points.

X Y
-2 , 2

0 , 2

2 , 2

4 , 2

Answer:

\(x = 0.143\)

\(P(High\ |\ Cancer) = 0.215\)

Not independent

Step-by-step explanation:

Given

See attachment for proper table

Solving (a): The missing probability

First, we add up the given probabilities

\(Sum = 0.242+0.047+0.079+0.391+0.098\)

\(Sum = 0.857\)

The total probability must add up to 1.

If the missing probability is x, then:

\(x + 0.857 = 1\)

Collect like terms

\(x = -0.857 + 1\)

\(x = 0.143\)

Solving (b): P(High | Cancer)

This is calculated as:

\(P(High\ |\ Cancer) = \frac{n(High\ n\ Cancer)}{n(Cancer)}\)

So, we have:

\(P(High\ |\ Cancer) = \frac{0.079}{0.242+0.047+0.079}\)

\(P(High\ |\ Cancer) = \frac{0.079}{0.368}\)

\(P(High\ |\ Cancer) = 0.215\)

Solving (c): P(Leukemia) independent of P(High Wiring)

From the attached table

\(P(Leukemia\ n\ High\ Wiring) = 0.242\)

\(P(Leukemia) = 0.242 + 0.391 =0.633\)

\(P(High\ Wiring) = 0.242+0.047+0.079=0.368\)

If both events are independent, then:

\(P(Leukemia\ n\ High\ Wiring) = P(Leukemia) * P(High\ Wiring)\)

\(0.242 = 0.633 * 0.368\)

\(0.242 \ne 0.232\)

Since the above is an inequality, then the events are not independent

The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

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In the question the graph is missing, a graph has been added on behalf of the incomplete question.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.

A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

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The main answer to this question is that there could be several reasons why an experiment may not produce significant results even if the research hypothesis is true.

One possible explanation could be that the sample size used in the experiment was too small, which could have resulted in insufficient statistical power to detect the true effect of the independent variable on the dependent variable. Another explanation could be that there were extraneous variables that were not controlled for in the experiment, which could have influenced the results and made it difficult to detect the true effect of the independent variable.

it is important to consider all possible factors that may affect the results of an experiment and to take steps to minimize their impact. This includes ensuring that the sample size is appropriate, controlling for extraneous variables, and using appropriate statistical tests to analyze the data. By doing so, researchers can increase the likelihood of obtaining significant results that accurately reflect the effects of the independent variable on the dependent variable.

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Answer:

the question is incomplete but if you're wanting the ratio of band members who play brass instruments to the total amount of marching band members, the ratio is 1:4.

in other words, 1/4 of the marching band students play brass instruments.

Step-by-step explanation:

The statements that are true in the lines of construction of the straightedge and compass construction which makes use of congruent circles, are;

Line EF is the perpendicular bisector of segment BD

Line EF is the bisector of angle BAC

Geometric figures are constructed using a compass and a straightedge, by using outlined steps or procedures.

From the diagram, given that the circumference of the circle with center B passes through the center of the circle with center D, and vice versa, we have;

Circle B is congruent to circle D

The steps to construct a perpendicular bisector to the segment BD includes;

Therefore;

The steps to construct the angle bisector of angle BAC

The angle bisector can be constructed by using the following steps

Which gives;

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Answer:

P = 5

Step-by-step explanation:

Take the cube root of both sides, leaving P = 5.

-5 is not a possibility because -5 * -5 * -5 = -125 which is not 125. Therefore, the only real solution is P = 5.

Answer: -1/2

Step-by-step explanation:

Answer:

£47.4

Step-by-step explanation:

£7.90 per hour

6 hours = £7.90 x 6 = £47.4

Ace Carlos

a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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Answer:

Step-by-step explanation:

1)  12

The mean of any number series is all of them added together and divided by the amount of numbers there are, when you add all the numbers together you get 96, and you divide it by 8 because that's how many numbers there are.

2)  5

Range is the distance between the smallest and largest number in the series, there is a difference of 5 between 10 and 15.

3) mean: 12  mode: 13, the mode is larger

The median is found by writing the numbers down in order and ticking off the number on each side back and forth until you come to the middle, if the number sequence has an even amount of values like it is here, you split the difference of the two middle numbers. The two middle numbers this time are 11 and 13 so you find the middle which is 12. The mode is the number that appears most frequently, which is 13, which means that the mode is greater than the mean.

4) Joanne's dance class' youngest student(s) are 13 years old, but the difference between the youngest and the oldest student will still be 5 so the oldest member(s) of the dance class are 18.

hope this helped

The forward Fourier Transform formula for a signal is X(jω) = F{x(t)}. The inverse Fourier Transform formula is x(t) = F^(-1){X(jω)}. The two formulas are related by the Fourier Transform property called duality or symmetry.

1. The forward Fourier Transform formula is given by:

  X(jω) = ∫[x(t) * e^(-jωt)] dt

  This formula calculates the complex spectrum X(jω) of a signal x(t) by integrating the product of the signal and a complex exponential function.

2. The inverse Fourier Transform formula is given by:

  x(t) = (1/2π) ∫[X(jω) * e^(jωt)] dω

  This formula reconstructs the original signal x(t) from its complex spectrum X(jω) by integrating the product of the spectrum and a complex exponential function.

  The similarity between these two formulas is known as the Fourier Transform property of duality or symmetry. It states that the Fourier Transform pair (X(jω), x(t)) has a symmetric relationship in the frequency and time domains. The forward transform calculates the spectrum, while the inverse transform recovers the original signal. The duality property indicates that if the spectrum is known, the inverse transform can reconstruct the original signal, and vice versa.

3. To determine the Fourier Transform of the given signal x(t) = [-1, 1, 0, -1], we apply the defining integral:

  X(jω) = ∫[-1 * e^(-jωt1) + 1 * e^(-jωt2) + 0 * e^(-jωt3) - 1 * e^(-jωt4)] dt

  Here, t1, t2, t3, t4 represent the respective time instants for each element of the signal.

  Substituting the time values and performing the integration, we can obtain the Fourier Transform of x(t).

Note: Please note that without specific values for t1, t2, t3, and t4, we cannot provide the numerical result of the Fourier Transform for the given signal. The final answer will depend on these time instants.

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After 9 years, the amount in Account A is approximately $12,742.16, the amount in Account B is approximately $12,813.51, and the difference in interest earned between Account B and Account A is approximately $71.35.

To calculate the amount in each account after 9 years, we'll use the following formulas:

For Account A (simple interest):

Amount_A = Principal_A * (1 + interest_rate_A * time)

For Account B (compounded interest):

Amount_B = Principal_B * (1 + interest_rate_B/12)* (12 * time)

Given the following values:

Principal_A = $7,617.52

Principal_B = $7,617.52

Interest rate_A = 6.956% = 0.06956

Interest rate_B = 6.956% = 0.06956

Time = 9 years

Calculating the amounts in each account:

Amount_A = $7,617.52 * (1 + 0.06956 * 9)

Amount_B = $7,617.52 * (1 + 0.06956/12)\(^{(12 * 9)\)

Amount_A ≈ $12,742.16

Amount_B ≈ $12,813.51

To calculate the difference in interest earned between Account B and Account A, we subtract the initial principal from each account's total amount and round the result to two decimal places:

Interest_difference = Amount_B - Amount_A

Interest_difference ≈ $12,813.51 - $12,742.16

≈ $71.35

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Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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Answer:

1

Step-by-step explanation:

1+3 = 4  4*7 = 28

it's 1 because 28/7 = 4 and you add 3 to the number so 1 + 3 = 4 * 7 = 28 is correct.

Given:

The given arithmetic sequence is:

\(-3,-1,1,3,...\)

To find:

The recursive formula of the given arithmetic sequence.

Solution:

We have,

\(-3,-1,1,3,...\)

Here, the first term is -3. So, \(b(1)=-3\).

The common difference is:

\(d=-1-(-3)\)

\(d=-1+3\)

\(d=2\)

The recursive formula of an arithmetic sequence is:

\(b(n)=b(n-1)+d\)

Where, d is the common difference.

Putting \(d=2\), we get

\(b(n)=b(n-1)+2\)

Therefore, the recursive formula of the given arithmetic sequence is \(b(n)=b(n-1)+2\), where \(b(1)=-3\).

The equation for the normal line B gives us :

L: (x,y,z) = (0,0,7) + t(1, 1, 1), t ∈ R

Full question is:

Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 7e(xyz) at a specified point (0, 0, 7)

If we have a level surface, then it will give us

f(x,y,z) = x+y+z = 7e(xyz). where f is the function of the x, y, and z coordinates.

Now let us calculate the ∇ gradient of f at point (0,0,7):

∇ = (fx,fy,fz) = (1−7yz,1−7xz,1−7xy)

= (1, 1, 1)

We get the equation for the tangent plane A:

A: 1(x−0) + 1(y−0) + 1(z−7)=0

This can also be written as:

x+y+z = 7 ------------------------------------------------------------------(a)

The equation for the normal line B gives us :

L: (x,y,z) = (0,0,7) + t(1, 1, 1), t ∈ R --------------------------------(b)

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The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%

The Z-Score of the 80th percentile is 0.8416

The formula for Z-Score is presented as follows;

\(z = \frac{x - \mu}{ \sigma} \)

Where;

\( \sigma = The \: standard \: deviation\)

\( \mu = The \: mean = 90\%\)

x = The given score

Taking the mean as a proportion, we have;

\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)

Which gives;

\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)

Therefore, when z = 0.8416, gives;

\(0.8416 = \frac{x - 0.9}{ 0.03} \)

x = 0.8416 × 0.03 + 0.9 ≈ 0.925

Therefore;

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Answer:

In this problem, the equation is basically as follows:

F(x)=0.5x+12

where f(x) is the total cost and x represents the number of rides

F(6)= 15 means that the total cost of the amusement park when a person rides six rides is $15.

The symmetric pure-strategy Bayesian Nash Equilibrium is given by p1=p2=5, b1=b2=2. The beliefs of both firms are such that b=2 with probability 1. Both firms believe that the other firm's type is b=2 with probability 1.

1. The action spaces are denoted as {p1} and {p2} for the two firms respectively.

2. The type spaces for both firms is {b1=1, b1=2} and {b2=1, b2=2} respectively.

3. The beliefs for Firm 1 are:

Beliefs when p2 > 3: F2 will play any price between 3 and 8, but not 2 or 9. If b2=1, p2=3.5, otherwise if b2=2, p2=6.5.

Beliefs when p2 = 3: F2 will play 2 or 3, with 50% probability each. If b2=1, F2 will play 3.

Beliefs when p2 < 3: F2 will play any price between 2 and 7 but not 3 or 8. If b2=1, p2=2.5, otherwise if b2=2, p2=5.5.

The beliefs of Firm 2 are as follows:

Beliefs when p1 > 3: F1 will play any price between 3 and 8, but not 2 or 9. If b1=1, p1=3.5, otherwise if b1=2, p1=6.5.

Beliefs when p1 = 3: F1 will play 2 or 3, with 50% probability each. If b1=1, F1 will play 3.

Beliefs when p1 < 3: F1 will play any price between 2 and 7 but not 3 or 8. If b1=1, p1=2.5, otherwise if b1=2, p1=5.5.

4. The payoff functions for both firms is given by

Πi(p1,p2,b1,b2)=(10−p1+2b2)(p1−c)+(10−p2+2b1)(p2−c)

Where c is a constant cost of production.

5. The symmetric pure-strategy Bayesian Nash Equilibrium is given by p1=p2=5, b1=b2=2. The beliefs of both firms are such that b=2 with probability 1. Both firms believe that the other firm's type is b=2 with probability 1.

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Answer:

78

Step-by-step explanation:

1 metre of plastic sheet= 25 1/2

3 1/17 plastic sheet = x

Cross multiply

x = 3 1/17 × 25 1/2

x = 52/17 × 51/2

x = 2652/34

x = 78

Hence the price of 3 1/17 metre of plastic is ¥78

63 mod 17 = 12, the solutions are all integers congruent to 12 modulo 17, such as 12, 29, and -5.

The given equation is 2x = 7 (mod 17).

9 is an inverse of 2 modulo 17.

Multiplying both sides of the equation by 9, we get x = 9.7 (mod 17).

Since 63 mod 17 = 12, the solutions are all integers congruent to 12 modulo 17, such as 12, 29, and -5.

Correct order:

The given equation is 2x = 7 (mod 17).

9 is an inverse of 2 modulo 17.

Multiplying both sides of the equation by 9, we get x = 9.7 (mod 17).

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Answer:

first one d > 8

Step-by-step explanation:

Answer:

y=27 and x=9

Step-by-step explanation:

the ratio is 4 to 3

If the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.

Given the measure of three angles 124°,76°,71°.

We are required to find the value of x which is an angle of a quadrilateral.

Quadrilateral is a figure or shape that is having four sides and four angles.

We know that the sum of all four angles of a quadrilateral is 360°.

So the following expression will appear from the above rule:

x+124+76+71=360

Now solve the aove expression for the value of x.

x+271=360

x=360-271

x=89

Hence if the three angles in a figure having four sides are 124°,76°,71° then the value of x is 89°.

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Answer:1

Step-by-step explanation if c is for 6 its 1 p

Answer:

C/6

Step-by-step explanation:

you have c pieces to share with 6 friends.