at the beach, 6% of people are in the water and 28% are on the boardwalk. if the rest are on the sand what percentage of people are on the sand.

The probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

To solve this problem, we need to use conditional probability.

The probability of drawing a white ball on the first draw is 8/13 (since there are 8 white balls and 13 total balls in the urn).

If a white ball is drawn on the first draw, then there will be 7 white balls and 5 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a white ball was drawn on the first draw, is 7/12.

If a black ball is drawn on the first draw, then there will be 8 white balls and 4 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a black ball was drawn on the first draw, is 8/12.

Now we can use the law of total probability to find the overall probability of drawing a white ball on the second draw:

P(white on second draw) = P(white on first draw) * P(white on second draw | white on first draw) + P(black on first draw) * P(white on second draw | black on first draw)
= (8/13) * (7/12) + (5/13) * (8/12)
= 56/156 + 40/156
= 96/156
= 8/13

Therefore, the probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

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Answer:

A. 6.96 cm²

Step-by-step explanation:

Area Triangle = \(\frac12(b*h)\)

Area Triangle :

 \(= \frac12(5.8 * 2.4)\\\\\\= \frac12(13.92)\\\\\\= 6.96\)

Your Answer is A. 6.96 cm²

-Chetan K

then is it.........!!!?

5x-12

Step-by-step explanation:

none of these are correct because beside the y it is a plus sign and it needs to be a minus sign but the awnser would be. y-6=-2(x-1) the way your supposed to set this up is y-y¹=slope(x-x¹) the only way their would be a addition sign in the equation is if one of the numbers in the parentheses that you put down is negative.

HOPE THIS HELPS!

srry if it confusing

The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ y ≤ - 5/6x + 2/3

Now, We can draw the graph of inequality y ≤ - 5/6x + 2/3.

Hence, The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

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I am not understanding the language

Answer:

its Vietnamese

Step-by-step explanation:

I just dont understand what that type of math is? sorry ):

Answer:

B.

Hope that helps!

Step-by-step explanation:

Answer:

B. Sometimes

Step-by-step explanation:

Hope this helps!

Answer: C)39

Step-by-step explanation:

6x+507+317+3x=122

9x+824=122

9x=122-824

9x=-702

x=-78

6x+507

6(-78)+507

-468+507

=39

The solution to the differential equation y′′ + 2y′ + 2y = x^2 e^(-x) cos(x), with initial conditions y(0) = y′(0) = 0, is:

y(x) = - (x^4/4 - x^3/2) e^(-x) cos(x) - (x^2/2) e^(-x) sin(x)

To solve the differential equation y′′ + 2y′ + 2y = x^2 e^(-x) cos(x), with initial conditions y(0) = y′(0) = 0, we can use the method of undetermined coefficients.

First, let's find the solution to the homogeneous equation y′′ + 2y′ + 2y = 0:

The characteristic equation is r^2 + 2r + 2 = 0, which has complex roots r = -1 ± i. Thus, the general solution to the homogeneous equation is:

y_h(x) = c_1 e^(-x) cos(x) + c_2 e^(-x) sin(x)

Next, let's find a particular solution to the non-homogeneous equation using undetermined coefficients. We assume a solution of the form:

y_p(x) = (Ax^2 + Bx + C) e^(-x) cos(x) + (Dx^2 + Ex + F) e^(-x) sin(x)

Taking the first and second derivatives of y_p(x), we get:

y_p′(x) = e^(-x) [(A-B-Cx^2) cos(x) + (D-E-Fx^2) sin(x)] - x^2 e^(-x) cos(x)

y_p′′(x) = -2e^(-x) [(A-B-Cx^2) sin(x) + (D-E-Fx^2) cos(x)] + 4e^(-x) [(A-Cx) cos(x) + (D-Fx) sin(x)] + 2x e^(-x) cos(x)

Plugging these into the original equation, we get:

-2(A-B-Cx^2) sin(x) - 2(D-E-Fx^2) cos(x) + 4(A-Cx) cos(x) + 4(D-Fx) sin(x) + 2x e^(-x) cos(x) = x^2 e^(-x) cos(x)

Equating coefficients of like terms gives the following system of equations:

-2A + 4C + 2x = 0

-2B + 4D = 0

-2C - 2Ex + 4A + 4Fx = 0

-2D - 2Fx + 4B + 4Ex = 0

2E - x^2 = 0

Solving for the coefficients A, B, C, D, E, and F yields:

A = -x^2/4

B = 0

C = x/2

D = 0

E = x^2/2

F = 0

Therefore, the particular solution to the non-homogeneous equation is:

y_p(x) = (-x^4/4 + x^3/2) e^(-x) cos(x) + (x^2/2) e^(-x) sin(x)

The general solution to the differential equation y′′ + 2y′ + 2y = x^2 e^(-x) cos(x) is the sum of the homogeneous and particular solutions:

y(x) = y_h(x) + y_p(x) = c_1 e^(-x) cos(x) + c_2 e^(-x) sin(x) - (x^4/4 - x^3/2) e^(-x) cos(x) - (x^2/2) e^(-x) sin(x)

Applying the initial conditions, we get:

y(0) = c_1 = 0

y′(0) = -c_1 + c_2 = 0

Thus, c_1 = 0 and c_2 = 0.

Therefore, the solution to the differential equation y′′ + 2y′ + 2y = x^2 e^(-x) cos(x), with initial conditions y(0) = y′(0) = 0, is:

y(x) = - (x^4/4 - x^3/2) e^(-x) cos(x) - (x^2/2) e^(-x) sin(x)

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Answer:

i dont think so

Step-by-step explanation:

Answer:

No, because you're just solving it as you are doing an equation

Step-by-step explanation:

8y < (-40)

Divide both sides by 8

8y/8 < (-40)/8

Simplify

y < -5

Hope this helps!

Answer:

what scenario are these questions about

There were 16 ounces of oil in the lantern at noon.

Let's start by defining the variables we know. We'll call the amount of oil in the lantern at noon "x," the rate at which the oil burns "r," and the time elapsed from noon to 2 pm "t." We know that the amount of oil in the lantern at 2 pm is 12 ounces, and at 4 pm, it's 8 ounces.

We can use the rate of oil burning to create an equation relating the amount of oil in the lantern to the time elapsed. The equation is:

x - rt = y

where "y" is the amount of oil in the lantern at any given time after noon. We can solve for "x" by plugging in the values we know at 2 pm:

x - 2r = 12

And at 4 pm:

x - 4r = 8

Now we have two equations with two variables. We can solve for "r" by subtracting the second equation from the first:

2r = 4

r = 2

Now we can plug in "r" to one of the equations to solve for "x." Let's use the first equation:

x - 2(2) = 12

x - 4 = 12

x = 16

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Answer:

Step-by-step explanation:

a^2+ab+a

a(a+b+1)

Answer:

a(a+b+1). was this helpful

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

Answer:

x = 0.72

Step-by-step explanation:

Given

3.8x = 2.736 ( divide both sides by 3.8 )

x = 0.72

Answer:

x = .72

Step-by-step explanation:

2.736 ÷ 3.8 = .72

3.8(.72) = 2.736

good luck, i hope this helps :)

Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.

To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).

Divisibility by 4:

To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.

Divisibility by 6:

Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.

Numbers divisible by both 4 and 6:

To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.

Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.

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765 multiplied by 87 equals 66,455.

The question is asking for the product of 765 and 87. To find this, we can multiply the two numbers together.

First, let's set up the problem vertically:

          765
        ×  87
     ______
         
Next, we start multiplying the ones digit of 87 by each digit of 765. We start from the rightmost digit:

    5
  ×  87
  ______
   35
  ______

We write down the product of 5 and 87, which is 35, under the line. Next, we move to the tens digit of 87 and multiply it by each digit of 765:

    6
  ×  87
  ______
   35
  48
  ______

We write down the product of 6 and 87, which is 48, to the left of the previous number. Finally, we move to the hundreds digit of 87 and multiply it by each digit of 765:

    7
  ×  87
  ______
   35
  48
 49
 ______

We write down the product of 7 and 87, which is 49, to the left of the previous numbers. Now, we add up the numbers we wrote down:

      7  6  5
    ×    8  7
   __________
     6  6  5  5
  +   4  8  0  0
 +    4  9  0  0
 _____________
   6  6  4  5  5

So, 765 multiplied by 87 equals 66,455.

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The probability that the baseball player gets a hit in his next at-bat is an empirical probability because it is based on observed data (the number of times the player got a hit out of the total number of times at bat).

Empirical probability is a technique for estimating the likelihood of an event based on actual facts or outcomes of experiments. Also called experimental probability. This method is frequently applied in circumstances where it is challenging or impossible to estimate the likelihood of an event based on theoretical considerations, such as when tossing a coin or rolling a die.

In order to get the empirical probability, we divide the total number of observations or trials by the number of times the relevant event occurred. For instance, the empirical probability of the coin landing heads is 45/100, or 0.45, if we flip a coin 100 times and it comes up heads 45 times.

a. The probability that the baseball player gets a hit in his next at-bat is an empirical probability because it is based on observed data (the number of times the player got a hit out of the total number of times at bat).

b. The likelihood that any one of five students is randomly chosen as the spokesperson is a classical probability because it is based on equally likely outcomes in a finite sample space.

c. The likelihood of winning the $1 million jackpot in the Lotto Canada lottery is a classical probability because it is based on equally likely outcomes in a finite sample space.

d. The probability of an earthquake in northern California in the next 10 years above 11.0 on the Richter scale is a subjective probability because it is based on expert judgment or opinion rather than on observed data or equally likely outcomes.

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Explain what is meant by confounding. what is a lurking variable? what is a confounding variable?

Answer:

A Confounding is the variable that is considered in a research study, and could overall influence the relations between the variables in the study. For example, students wanting to join AP English next semester were told to write a six page essay. When the students turned in their papers and teachers say the difference and grades they believed that the variable was the time that the students handed in the paper. They thought that if the student handed in their paper later than another student that they would receive a lower score, but this was not the case. When asking the students how they prepared for the paper, students replied with different answers. Those who outlined and used other literature for reference scored much higher than those who only used prior knowledge to write their essays. In this study, the lurking variable would be the presence of an outline.

Lurking variable: A variable that is not considered in a research study that could influence the relations between the variables in the study

Confounding variable: A variable that is considered in a research study that could influence the relations between the variables in the study

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the Answer:is y=-3x+1 so it would b c:)

Mary has 3 numbers of 10 shilling coins.

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language

let the no. of 10 shilling coins = x

no. of 5 shilling coins =2x

let the no. of 1 shilling coins = y

no. of coins: x+2x+y =21

3x+y=21y

= 21- 3x

total value is 72=10x+(2*5x)+y

=72=20x +y =72

substitute y in above equation

20x+21-3x =7217x = 51

x= 3

no. of 10 shillings = 3

no. of 5 shillings = 6

no. of 1 shilling = 12

Hence, there'll be 10 shilling coins.

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The observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.

The Maximum Likelihood Estimation (MLE) and the observed proportion of correct diagnoses in a random sample of mechanics are related concepts but not the same.

The MLE is a statistical method used to estimate the parameters of a probability distribution based on observed data. It seeks to find the parameter values that maximize the likelihood of observing the given data. In the case of a binomial distribution, which could be used to model the number of correct diagnoses, the parameter of interest is the probability of success (correct diagnosis) for each trial (mechanic).

In this context, if we have a random sample of 20 mechanics and observe that 15 of them made correct diagnoses, we can calculate the observed proportion of correct diagnoses as 15/20 = 0.75.

While the observed proportion can be considered an estimate of the underlying probability of success, it is not necessarily the same as the MLE. The MLE would involve maximizing the likelihood function, taking into account the specific assumptions and model chosen to represent the data. The MLE estimate may or may not coincide with the observed proportion, depending on the distributional assumptions and the specific form of the likelihood function.

In summary, the observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.

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Using a linear function, the graph for the amount remaining of the trip is given at the end of this answer.

------------------------------

The linear function that models the distance remaining is given by:

\(D(t) = D(0) - vt\)

In which

In this problem:

The time it takes is:

\(t = \frac{d}{v} = \frac{500}{55} = 9.09\)

Thus, the function is:

\(D(t) = 500 - 55t, 0 \leq t \leq 9.09\)

The graph is given at the end of this answer.

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Answer:

X= 12 (see explanation)

Step-by-step explanation:

I'm doing my best to interpret this without an image. So angle S= 43 degrees, T is 7x-6 and R is 4x+11.

If the sum of the arc RTS= 360 degrees, then do

360= 43+ (7x-6) + (4x+11)

X= 312/11  <- this looks iffy

If the sum of the arc RTS= 180 degrees, then do

180= 43+ (7x-6) + (4x+11)

X= 12  <- this looks like a normal solution

Answer:

15.5^2 + 14.0^ = 20.8^2

436.25 = 432.64

it is not a triangle because a+b is not = c

Answer: These given lengths do not make up a right triangle.

Step-by-step explanation:

In order to figure out if this is a right triangle or not, we would need to use the Pythagorean Theorem in order to verify if these lengths satisfy the properties of a right triangle. We would need to use the formula a^2 + b^2 = c^2.

14^2 + 15.5^2 = 20.8^2

196 + 240.25 = 432.64

436.25 ≠ 432.64

Therefore, this is not a right triangle.

Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700

Use the simple interest formula

I = P r t

where I = simple interest

P = principal

r= rate of interest

t= number of years

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

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Answer:

\(\Huge\boxed{x=7}\)

Step-by-step explanation:

Hello there!

The first thing we want to do is find the measure of the large leg

To do so we use the Pythagorean theorem which says \(a^2+b^2=c^2\\\)

where a and b are legs and c is the hypotenuse

we want to find b given the hypotenuse and short leg

so  \(b^2=c^2-a^2\)

all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)

so

\(b^2=37^2-12^2\\37^2=1369\\12^2=144\\1369-144=1225\\b^2=1225\\\sqrt{b^2} =b\\\sqrt{1225} =35\\b=35\)

so the longer leg is equal to 35

35=5x

divide each side by 5

5x/5=x

35/5=7

we're left with x=7

Answer:

Answer 30

Step-by-step explanation:

if you need to solve or see step- by step explanation here's a link https://mathsolver.microsoft.com/en/solve-problem/%60sqrt%7B%2050%20%20%7D%20%20%20%60times%20%203%20%60sqrt%7B%202%20%20%7D