John had 367 stamps in his collection. His uncle gave him some more stamps. Now he has 462 stamps. How many stamps did he receive from his unde? A 95 B. 105 OC 195 D. 709 E. 829​

The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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Answer:

Therefore, the probability of getting at least 3 tails is 1/16 + 1/4 = 5/16 or 0.3125.

The probability of getting exactly 3 tails is just 1/4, as we calculated above.

Step-by-step explanation:

To find the probability of getting at least 3 tails when tossing a coin 4 times, we need to add the probabilities of getting 3 tails and 4 tails.

The probability of getting a tail on one toss is 1/2, and the probability of getting a head is also 1/2.

The probability of getting 4 tails is (1/2)^4 = 1/16 because there is a 1/2 chance of getting a tail on each toss, and the events are independent, so we multiply the probabilities together.

The probability of getting 3 tails is (4 choose 3) * (1/2)^4 = 4/16 = 1/4 because we need to choose which 3 tosses will be tails (this can be done in (4 choose 3) = 4 ways), and there is a 1/2 chance of each of those tosses being a tail, with a 1/2 chance of the last toss being a head.

Answer: Basically you do the opposite of each sign to isolate the variable on one side.  

Step-by-step explanation:

x + 9 = 17

-9 from each side

x = 8

x - 6 = 25

+ 6 to each side

x = 31

8x = 48

Divide each side by 8

x = 6

x/4 = 7

Multiply each side by 4

x = 28

Answer:

Step-by-step explanation:

Solve an addition equation by subtraction

x= 17 - 9

Solve a subtraction equation by addition

x= 6 + 25

Solve a multiplacation equation by division

x= 48 / 8

Solve a division equation by multiplication

x = 7*4

Answer C. base side length = 30.6 cm, height = 27.3 cm

Answer:

use long divison  ike this

      16

  -------

8 | 132

    8

  -----

    52

    48

  -----

     4

Step-by-step explanation:

Answer:

Step-by-step explanation:

                                         132/8 = 16 with 4 leftover

                                             32 divided by 8 is 4, 96 divided by 8 is 12, the                                                                  

                                                  extra 4 left over

\(n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{5}\\ a_1=\stackrel{\textit{first term}}{81}\\ r=\stackrel{\textit{common ratio}}{\frac{1}{3}} \end{cases}\implies a_5=81\left( \cfrac{1}{3} \right)^{5-1} \\\\\\ a_5=81\left( \cfrac{1}{3} \right)^4\implies a_5=81\cdot \cfrac{1}{81}\implies a=1\)

as you should already know, to get the inverse relation of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

\(\stackrel{f(x)}{y}=2+\sqrt{x-1}~~\implies ~~\stackrel{\textit{quick switcheroo}}{x = 2+\sqrt{y-1}}\implies x-2=\sqrt{y-1} \\\\\\ \stackrel{\textit{squaring both sides}}{(x-2)^2=y-1}\implies (x-2)^2+1=y\implies (x-2)(x-2)+1=y \\\\\\ \stackrel{F~O~I~L}{(x^2-4x+4)}+1=y\implies x^2-4x+5=\stackrel{y~\hfill }{f^{-1}(x)}\)

Answer:

The answer is x = -6

Step-by-step explanation:

Answer:

 =  − 6

Step-by-step explanation:

Answer: I am sorta answering this on my alt, just move along

Step-by-step explanation:

The whole lenght is the short length 9 and the long length 18 added.

An "event" is an outcome of a population that has some probability of being selected.

In statistics, an event refers to a specific outcome or combination of outcomes of an experiment or random process. It represents a subset of the sample space, which is the set of all possible outcomes.

For example, let's consider rolling a fair six-sided die. The sample space consists of the numbers 1, 2, 3, 4, 5, and 6. An event could be rolling an even number, which consists of the outcomes 2, 4, and 6. Each of these outcomes has an equal probability of 1/6.

Events can also be combined using logical operators. For instance, the event of rolling a number greater than 3 and less than 6 would consist of the outcome 4 and 5. The probability of this event would be 2/6 or simplified, 1/3.

In summary, an event is a specific outcome or combination of outcomes from a population, and it has a certain probability of being selected.

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An "outcome" is an outcome of a population that has some probability of being selected.

An "outcome" refers to a specific result or observation that can occur in a given situation or experiment. In the context of a population, an outcome represents one possible result that could be selected or observed.

When we talk about a population, we are referring to a group of individuals or items that share a common characteristic. For example, a population could be all the students in a school, all the trees in a forest, or all the cars in a city.

In statistics, we often take samples from populations to make inferences or draw conclusions about the entire population. When selecting a sample from a population, each individual or item in the population should have some probability of being chosen. This ensures that the sample is representative of the population and provides reliable information.

For example, if we want to study the average height of all students in a school, we might randomly select a sample of students from the population (all students in the school). Each student in the population has some chance of being selected, which means each student represents a potential outcome of the sample.

In summary, an outcome in the context of a population refers to a specific result or observation that has some probability of being selected from the population.

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Answer:

A) the probability of winning is 0.24%.

B) Yes i will play the game

C) Despite the fact that the probability of winning is very low, one should play the game because the expected value of the game is positive.

Step-by-step explanation:

Expected value of X is denoted by;

E(X) = x1•p1 + x2•p2 +..... xn•pn

Where;

xi is the observation and pi is the probability of xi

Now, let's make p the probability of the winning bet and 1 - p be the probability of losing the game

If the bet is win, the net gain is $98,800 and if the bet is lose, the loss is -$1200.

Hence the probability distribution will be;

For xi = $98,800, pi = p

For xi = -$1,200, pi = 1 - p

So;

E(X) = Σxi.pi

Thus;

1200 = 98800p - 1200(1 - p)

1200 = 98800p - 1200 + 1200p

1200 + 1200 = 100000p

2400 = 100000p

p = 2400/100000

p = 0.024

Thus, the probability of winning is 0.24%.

Despite the fact that the probability of winning is very low, one should play the game because the expected value of the game is positive.

Answer:

The answer is 14 inches

Step-by-step explanation:

I am taking the assignment right now and edge and it told me the answer

Plz Mark as Best and say it helped u

The first square is (3x^4y^2z)^2 = 9x^8y^4z^2 square centimeters, while the second square is (8a)^2 = 64a^2 square centimeters. The difference in size between the two squares can be expressed as (9x^8y^4z^2 - 64a^2) square centimeters.

To find the size difference between the two squares, we need to compare their areas. The formula for the area of a square is side^2.The side of the first square is given as 3x^4y^2z. Therefore, the area of the first square is (3x^4y^2z)^2 = 9x^8y^4z^2 square centimeters.The side of the second square is given as 8a. Therefore, the area of the second square is (8a)^2 = 64a^2 square centimeters.

To express the difference in size between the two squares, we subtract the area of the second square from the area of the first square: 9x^8y^4z^2 - 64a^2 square centimeters.The expression is factored form and cannot be simplified further since the terms involve different variables (x, y, z, and a) that are not common factors. Thus, the difference in size between the two squares is (9x^8y^4z^2 - 64a^2) square centimeters.

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Answer:

10 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

The units are cubic feet or ft^3

V = L * W * H

L = 5.2

W = 4

H = 3.5

All dimensions are in feet.

V = 5.2 * 4 * 3.5

V = 72.8 ft^3

Answer:

No, only for right angle Δ

Step-by-step explanation:

It is only used for right angle triangles

Answer:A

Step-by-step explanation:

I JUST TOOK THE TEST ON EDGE

The possible root of the function are: ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.

In algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator and the constant term (the one without a variable) must be divisible by the fraction's numerator.

We have the function f(x) = 9\(x^4\) - 2x² - 3x + 4.

For Polynomial Function

f(x) = p\(x^n\) + ...... + q

So, The possible rational roots are calculated using

Roots = ± factors of p / factors of q

          = ± factors of 4 / factors of 9

          = ± 1, 2, 4 / 1, 3, 9

So, the possible rational roots are ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.

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The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

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Answer:

516

Step-by-step explanation:

6 x 86 = 516.

(She's also hella rich and very cool!)

Answer:

diameter 12mm

Step-by-step explanation:

The probability of getting more than one success in five trials with a probability of success of 0.05 on each trial is 0.0207. a. To find P(r=0), we use the binomial probability formula: P(r=0) = (n choose r) * p^r * (1-p)^(n-r)

Where n is the number of trials, p is the probability of success on a single trial, and r is the number of successes. We want to find, and (n choose r) is the binomial coefficient which represents the number of ways to choose r items from a set of n items. In this case, n = 5, p = 0.05, and we want to find P(r=0). Using the formula above, we get:

P(r=0) = (5 choose 0) * 0.05^0 * (1-0.05)^(5-0)

= 1 * 1 * 0.9512

= 0.7744

Therefore, the probability of zero successes in five trials with a probability of success of 0.05 on each trial is 0.7744.

b. To find P(r > 1), we use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, we want to find the probability of getting more than one success, so we will find the probability of getting one or fewer successes and subtract that from 1.

P(r > 1) = 1 - P(r ≤ 1)

To find P(r ≤ 1), we can use the binomial probability formula again:

P(r ≤ 1) = P(r=0) + P(r=1)

= (5 choose 0) * 0.05^0 * (1-0.05)^(5-0) + (5 choose 1) * 0.05^1 * (1-0.05)^(5-1)

= 0.7744 + 0.2049

= 0.9793

Therefore, P(r > 1) = 1 - P(r ≤ 1) = 1 - 0.9793 = 0.0207.

The probability of getting more than one success in five trials with a probability of success of 0.05 on each trial is 0.0207.

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At a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.

What is the null hypothesis in statistics?

The null hypothesis in inferential statistics states that two possibilities are the same. The null hypothesis states that the observed difference is solely due to chance. The likelihood that the null hypothesis is true can be calculated using statistical tests.

Sample size, n =1500

The sample proportion of the chips that do not fail in the first 1000 hrs of their use, \(\hat{p} = 0.69\)

Null Hypothesis, H0: p=0.72

Alternate Hypothesis, \(Ha: p \neq 0.72\)

Test statistic,

\(z= \frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}} - \frac{0.69-0.72}{\sqrt{\frac{0.72(1-0.72)}{1500}}} = -2.5877\)

Critical Value,

\(Z_{0.05/2} =\)±1.96

Now, since the absolute value of the test statistic i.e, 2.5877 is greater than the absolute value of the critical value i.e, .1.96, thus we will reject the null hypothesis.

Thus at a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.

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Therefore, there are 156 numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.

We need to find the number of numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.

1-digit numbers: There are 6 choices for the first digit.

2-digit numbers: There are 6 choices for the first digit, and 5 choices for the second digit (since we cannot repeat the first digit).

3-digit numbers: There are 6 choices for the first digit, 5 choices for the second digit (since we cannot repeat the first digit), and 4 choices for the third digit (since we cannot repeat the first or second digit).

Therefore, the total number of numbers that can be formed is:

1-digit numbers: 6

2-digit numbers: 6 x 5 = 30

3-digit numbers: 6 x 5 x 4 = 120

The total number of numbers is the sum of these:

6 + 30 + 120 = 156

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The correct answer is D, you are right.

Answer:

The answer is D.

Step-by-step explanation:

Answer:

Inequality- 4p + 5 >-32

Step-by-step explanation:

Answer:

A, she read 3 book in the first 2 months

Step-by-step explanation:

I hope this helps :)

Answer:

B is correct

Step-by-step explanation: an infinite number of solutions means a coincident line...it is the same line

3y = 2x - 9...divide by 3

y = 2/3x - 3...hmm...same line as answer choice b....they are coincident lines and have infinite solutions

Answer:

the answer is B).

Step-by-step explanation:

someone deleted my answer:(

Answer:

$13.00 per person

Step-by-step explanation: you divide $26 by 2

Answer: hanhjc,

Step-by-step explanation: bhjaCH