suppose that p (a ∩ b) = 0.4 and p(b)= 0.9. find p(a|b)

easy fist of all determine four points x and y then divide xby y and sope you can get

Answer and Step-by-step explanation:

The complete options to choose from in order to explain her mistake are not shown, therefore I'll solve the problem generally.

To solve 1.8/0.3 easily we multiply but numerator and denominator by 10

(1.8*10)/(0.3*10) = 18/3 = 6

The dividend and the divisor should have been multiplied by 10 and the decimal point in the quotient should have been shifted to the right by Becca.

Both the dividend and the divisor must be changed such that there are no decimal places in the divisor before dividing decimals. Becca made a mistake by not taking this change into account.

Becca needed to multiply both the dividend (1.8) and the divisor (0.3) by 10 to get rid of the decimal places in order to divide 1.8 by 0.3 correctly. As a result, the issue would change to 18 3.

When the division is done properly, we see that 18 3 equals 6, leaving no residual.

Therefore, Becca made a mistake by failing to multiply both the dividend and the divisor by 10.

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Answer:

30 s

Step-by-step explanation:

When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.

●h= 0

● -12t^2+360t =0

● t(-12t +360) = 0

● t = 0 or -12t +360 =0

● t=0 or -12t = -360

● t=0 or 12t =360

● t=0 or t=360/12

● t=0 or t= 30

The equation has two solutions.

The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.

So the ball hits the ground after 30 s.

Answer:

ok so we know 7/8 of them are rock songs and of those songs 5/8 are solos so if we multiple this we get 35/64

Explanation:

Normally, cosine has a period of 2pi. This means that the curve repeats itself every 2pi units. However, this graph has a period of pi.

We can see this by noting that the distance from one peak such as x = 0 to another adjacent peak x = pi is exactly pi units across.

Since T = pi is the period, we then know that

B = (2pi)/T

B = (2pi)/(pi)

B = 2

Then recall that the general template is y = Acos(B(x-C))+D

In this case, A = 1, C = 0 and D = 0. So all of this leads to y = cos(2x)

Answer:

The answer is "A", because it reduces the amount financed.

Step-by-step explanation:

When a car dealership offers you an amount for trade-in on your car, this amount is taken off of the price of the new car.  This means you finance less after the trade-in than you would have before.

This has the same effect as making a down payment; it lessens the amount you finance.

The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)

Here,

σ1 = 15%

σ2 = 10%

w1 = 50%,

w2 = 50%

Substituting the values in the above formula:

σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158 = 1.58%σB

= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158

= 1.58%

Hence, the correct option is

D. σ(A) = 14.14%;

σ(B) = 16.33%.

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m∠PQR=82º

1) According to the properties of a Rhombus, the line segment QS bisects the angle ∠PQR into two congruent angles ∠PQT and ∠RQT

So we can write

∠PQT = ∠RQT

Let's find the value of x:

4x-27= 2x +7

4x -2x = 7 +27

2x = 34

x= 17

2) So m∠PQR is going to be the sum of m∠PQT and m∠RQT

m∠PQR=m∠PQT +m∠RQT

m∠PQR = 4x -27 +2x +7 Plug into that the value for x=17

m∠PQR =4(17) -27 + 2(17) +7

m∠PQR =68-27+34+7

m∠PQR=82º

3) So the answer is m∠PQR=82º

Answer:

Intrest= PTR ÷100=10000×2×4=80000÷100=800

=800+10000=108000

Based on the given data and a one-sample chi-square test, the hypothesis test results reject the null hypothesis (σ < 10) in favor of the alternative hypothesis (σ > 10) at a significance level of 0.05. This indicates sufficient to suggest that the population standard deviation is greater than 10.

We test if the population standard deviation (σ) is less than 10 (H₀: σ < 10) or greater than 10 (Ha: σ > 10) using a significance level of 0.05.

To test this hypothesis, we can perform a one-sample chi-square test of variance, also known as the chi-square goodness-of-fit test. The test statistic is calculated as:

χ² = (n-1) * s² / σ₀²

where n is the sample size, s² is the sample variance, and σ₀ is the hypothesized population standard deviation under the null hypothesis.

Let's calculate the necessary values:

Sample size (n) = 40

Sample variance (s²) = Sum of (xi - X⁻)² / (n-1) = 129.7396

Hypothesized population standard deviation (σ₀) = 10

Now, we can calculate the test statistic:

χ² = (n-1) * s² / σ₀² = (40-1) * 129.7396 / 10² = 515.792

To test the hypothesis, we need to compare the test statistic to the critical value from the chi-square distribution with (n-1) degrees of freedom (39 degrees of freedom in this case) at the chosen significance level (α = 0.05).

The critical value for a right-tailed test with α = 0.05 and 39 degrees of freedom is approximately 56.891.

Since the test statistic (515.792) is greater than the critical value (56.891), we reject the null hypothesis (H₀). This means that there is proof to suggest that the population standard deviation is greater than 10.

Therefore, based on the given data and the performed hypothesis test, we reject the null hypothesis and conclude that there is sufficient to support the alternative hypothesis that the population standard deviation is greater than 10.

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According to the moral choices textbook, ethics and morality are distinct but interconnected concepts. Ethics refers to the actual content of what is considered right and wrong within a particular moral framework or system. It deals with the principles, values, and standards that guide human behavior and decision-making.

Ethics provides a set of norms or rules that help individuals evaluate actions and determine their moral worth.

On the other hand, morality refers to the process of determining right and wrong. It encompasses the various factors, such as cultural, societal, and personal influences, that shape an individual's moral beliefs and judgments.

Morality is a dynamic and complex phenomenon that evolves over time and differs across cultures and individuals. It involves the consideration of various perspectives, reasoning, and critical thinking to arrive at moral conclusions.

While ethics focuses on the principles and rules that define right and wrong, morality encompasses the broader context in which ethical decisions are made.

It involves the examination of motives, intentions, consequences, and the moral responsibility of individuals. In essence, ethics provides the foundation for morality, and morality applies ethical principles in the real-world decision-making process.

It is important to understand the distinction between ethics and morality to engage in meaningful discussions and analyses of moral choices and ethical dilemmas.

By recognizing the content and process aspects of ethics and morality, individuals can better navigate complex moral landscapes and make informed decisions aligned with their values and principles.

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Answer:

49.02 > 49.019

Step-by-step explanation:

It's true :)

Think of 49.02 as 49.020.

Don't you think that 49.020 > 49.019? It makes sense! :)

Answer:

<

Step-by-step explanation:

Answer:

The length is 110.4 mm and the width is 62.1 mm.

Step-by-step explanation:

The ratio of the length to the width of the phone screen is 16:9.

Hence, let us say that the length of the screen is 16x and the width is 9x.

Due to the screen having 90 degree corners, we can apply the Pythagorean theorem to say that:

\(\sqrt{(16x)^{2} + (9x)^{2}} = 127 mm\)

\(\sqrt{256x^{2} + 81x^{2}} = 127 mm\)

\(\sqrt{337x^{2}} = 127 mm\)

\(337x^{2} = 127^{2} mm\)

\(x^{2} = \frac{16129}{337}\)

\(x = 6.9\)

Hence, the length is 110.4 mm and the width is 62.1 mm.

Hope this helped!

Answer:

...

Step-by-step explanation:

To solve this problem, we can use algebra. Let's say the total number of cakes the elves made is "x". Then, each elf ate half of a cake, which means they collectively ate 7.5x cakes. Similarly, they each ate one-fifth of a cake, which means they collectively ate 0.3x cakes. Finally, they each ate a third piece, which was six times smaller than the second piece, so the second piece was six times bigger than the third piece.

  Now we can set up an equation:

7.5x + 0.3x + 6(0.3x) + 3 = x

Simplifying and solving for x, we get:

8.1x + 3 = x

7.1x = 3

x ≈ 0.42

However, since we're looking for a whole number of cakes, we know that the elves made either 0 or 1 cakes. Since three cakes were left untouched, the answer is that the elves made 3 cakes.

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To solve this problem, we can use algebra. Let's say the total number of cakes the elves made is "x". Then, each elf ate half of a cake, which means they collectively ate 7.5x cakes. Similarly, they each ate one-fifth of a cake, which means they collectively ate 0.3x cakes. Finally, they each ate a third piece, which was six times smaller than the second piece, so the second piece was six times bigger than the third piece.

 Now we can set up an equation:

7.5x + 0.3x + 6(0.3x) + 3 = x

Simplifying and solving for x, we get:

8.1x + 3 = x

7.1x = 3

x ≈ 0.42

However, since we're looking for a whole number of cakes, we know that the elves made either 0 or 1 cakes. Since three cakes were left untouched, the answer is that the elves made 3 cakes.

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Answer:

4 minutes

Step-by-step explanation:

I will use ratios for this equation:

\(\frac{1}{45} =\frac{x}{180} \\\\45x=180\\x=4\)

It will take Zahra 4 minutes to read 180 words because she reads 45 words PER minute.

The volume of the solid is (3π/5) units^3.  To find the volume of the solid formed by rotating the region in the 1st quadrant enclosed by the curves y=x^1/4 and y=x/64 about the y-axis, we can use the method of cylindrical shells.

First, we need to determine the limits of integration. Since the region is in the 1st quadrant, we can integrate from y=0 to y=1. To find the corresponding x-values for these limits, we can set y=x^1/4 and y=x/64 equal to 1 and solve for x:

x^1/4 = 1 => x = 1

x/64 = 1 => x = 64

So, our limits of integration are x=1 to x=64.

Next, we need to find an expression for the radius of each cylindrical shell. The radius is simply the distance from the y-axis to the curve at a given y-value. So, for a given y, the radius is:

r = x - x^1/4

Finally, we need to find an expression for the height of each cylindrical shell. The height is the infinitesimal change in y, which is simply dy. So, the volume of each cylindrical shell is:

dV = 2πr dy

Putting it all together, we have:

V = ∫(2πr) dy from y=0 to y=1

= ∫2π(x - x^1/4) dy from y=0 to y=1

= 2π ∫(x - x^1/4) dy from y=0 to y=1

= 2π ∫(y^4 - y) dy from y=0 to y=1

= 2π [y^5/5 - y^2/2] from y=0 to y=1

= 2π [(1/5) - (1/2)]

= (3π/5) units^3

Therefore, the volume of the solid is (3π/5) units^3.

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Answer:

hahahaha

Step-by-step explanation:

lol

lol

lol

lol

lol

okay

Answer:

20

Step-by-step explanation:

The length if \(\overline{DE}\) is \(\sqrt{(1-4)^2+(4-0)^2}=5\).

Since all four sides of a rhombus are congruent, the perimeter is \(5(4)=20\).

The legal context and definitions are (a) Negligence - Establishes the link between the defendant's actions and the plaintiff's harm. (b) Negligence defenses - Plaintiff voluntarily accepts known risks, relieving the defendant of liability. (c) Invasion of privacy - Unjustified intrusion into private affairs that would offend a reasonable person. (d) Negligence - Accident itself suggests defendant's negligence without direct evidence (e) Defamation - False spoken statements harming someone's reputation (f) Monetary awards to punish and deter egregious behavior. (g) Defamation defenses - Immunity for certain statements made in specific contexts.

(a) Cause-in-fact

Legal context: Negligence.

Definition: Cause-in-fact refers to the actual cause or link between the defendant's conduct and the plaintiff's harm, establishing that the harm would not have occurred without the defendant's actions.

(b) Assumption of risk

Legal context: Negligence defenses.

Definition: Assumption of risk is a defense in negligence cases where the plaintiff voluntarily and knowingly accepts the risks associated with a certain activity, relieving the defendant of liability for any resulting harm.

(c) Seclusion

Legal context: Invasion of privacy.

Definition: Seclusion refers to the intentional and unjustified intrusion into an individual's private affairs or seclusion, which would highly offend a reasonable person.

(d) Res ipsa loquitur

Legal context: Negligence.

Definition: Res ipsa loquitur is a doctrine where the occurrence of an accident or injury itself suggests that the defendant was negligent, allowing the plaintiff to establish a prima facie case without direct evidence of negligence.

(e) Slander

Legal context: Defamation.

Definition: Slander is a form of defamation that involves making false spoken statements about someone that harm their reputation.

(f) Punitive damages

Legal context: Various tort subject areas.

Definition: Punitive damages are monetary awards beyond compensatory damages, awarded in certain cases to punish the defendant for particularly egregious behavior and to deter others from similar conduct.

(g) Absolute privilege

Legal context: Defamation defenses.

Definition: Absolute privilege is a defense in defamation cases that grants immunity from liability for statements made in certain contexts, such as during legislative or judicial proceedings, regardless of their truth or intent.

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--The given question is incomplete, the complete question is given below " For each term (1) identify the legal context in which it arises; and (2) define the term.

For the legal context part of your answer for each term, indicate which tort subject area the term relates to (e.g., "fraud," “false imprisonment,” “defamation,” “defamation defenses,” “invasion of privacy,” “interference with contract,” “interference with prospective economic advantage,” “negligence,” “negligence defenses,” “strict liability,” or, if and where appropriate, “intentional torts” generally).

In addition, the definition portions of your answers need not be more than one sentence for each term. Your answer for each term is worth a maximum of 2 points.

(a) cause-in-fact

(b) assumption of risk

(c) seclusion

(d) res ipsa loquitur

(e) slander

(f) punitive damages

(g) absolute privilege"--

The minimum score needed to be in the top 5% on this standardized aptitude test is 7. The distribution of scores on a standardized aptitude test is approximately normal with a mean of and a standard deviation of. What is the minimum score needed to be in the top on this test?

In statistics, we assume that the distribution of scores on a standardized aptitude test is approximately normal with a mean of µ and a standard deviation of σ, where µ and σ are the parameters of the normal distribution. To calculate the minimum score needed to be in the top 5%, we must first determine the z-score corresponding to the top 5%.It is known that the area to the left of z is 0.95, which corresponds to the top 5%.

To find the z-score that corresponds to the 95th percentile, we can use a standard normal distribution table, such as the one found in most statistics textbooks or online. The table gives the z-score that corresponds to the given area to the left of the mean.Using the standard normal distribution table, we find that the z-score corresponding to the top 5% is approximately 1.645. This means that the score needed to be in the top 5% is 1.645 standard deviations above the mean. We can calculate this score using the formula:X = µ + zσwhere X is the score we are trying to find, µ is the mean, z is the z-score corresponding to the top 5%, and σ is the standard deviation. Substituting the values we know into this formula:X = + 1.645 × = + 6.58. Rounding to the nearest integer, we get X = 7.

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So, the total kcalories consumed from the given food is 227 kcal.

To calculate the total kcalories consumed, we need to multiply the amount of each macronutrient by its respective caloric value and sum them up. Given the information, we have 2 grams of carbohydrate, 19 grams of fat, 12 grams of protein, and 10 milligrams of vitamin C.

Each macronutrient has a specific caloric value per gram. Carbohydrates and proteins contain 4 kcalories per gram, while fat contains 9 kcalories per gram. To calculate the kcalories from carbohydrates, we multiply 2 grams by 4 kcal/g, resulting in 8 kcal.

For fat, we multiply 19 grams by 9 kcal/g, which gives us 171 kcal.

Similarly, for protein, we multiply 12 grams by 4 kcal/g, yielding 48 kcal. Lastly, since there are 1000 milligrams in a gram, we divide 10 milligrams by 1000 to convert it to grams. Then, we multiply by 0 kcal/g since vitamin C does not provide energy. Therefore, the kcalories from vitamin C is 0 kcal.

Adding up the kcalories from each macronutrient, we have 8 kcal + 171 kcal + 48 kcal + 0 kcal = 227 kcal. Hence, the total kcalories consumed from the given food is 227 kcal.

In summary, consuming a food with 2 grams of carbohydrate, 19 grams of fat, 12 grams of protein, and 10 milligrams of vitamin C amounts to a total of 227 kcalories. This calculation takes into account the caloric values of each macronutrient and omits vitamin C since it does not contribute to energy intake.

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Answer:

Step-by-step explanation:

for the first one the answer is 97 for the second one the it is hot coco cost 1.40$ and a cookie costs 0.40$ and for the last one it is dasher spent 120$ prancer spent 240$ and cupid spent 360$.

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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The rate of interest for 2nd year is 4.1%

From the given parameters;

Rate of interest for 1st year = 2.5

As we know the formula for Simple interest is given by

                         => I = (PTR)/100

We will use this formula in the following problem

Let 100 be Feri's investment

At the Rate of interest of 2.5  

Interest on 100 = [(100(1)(2.5)]/100 = 2.5

Total amount at end of 1st year = 100 + 2.5 = 102.5

Let x be the rate of interest for 2nd year

At the rate of interest of x

interest on 100 = [(100(1)(x)]/100 = x

Total amount at end of 2st year = 102.5 + x  

Given that, at end of the 2 years, the rate of interest becomes 6.6%  

Interest on 100 at the rate of 6.6%  

=>  [(100(1)(6.6)]/100 = 6.6

=> total amount = 100 + 6.6 = 106.6

As we know in both cases, the amount must be equal

=> 102.5 + x  = 106.6  

=> x = 4.1

Therefore, The rate of interest for 2nd year = 4.1

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1. Jan should have first simplified the expression inside the parentheses, then multiplied by 3, and finally subtracted the result from 7.

2. Madison should have added -6x and -10x to get -16x, not -16.

3. Selina should have multiplied -3 by both 4 and -2x, then added the result to 7. Instead, she subtracted 11 from 7 before multiplying by -3.

4. An expression equivalent to 7 - 3(4 - 2x) - 10x  is -5 - 4x.

5. To be sure that you have used the properties of operation correctly to form an expression that is equivalent to the original one, you can simplify both expressions and compare the results. If the results are the same, then the two expressions are equivalent.

To solve the expression 7 - 3(4 - 2x) - 10x,

Simplify the expression inside the parenthesis or bracket by multiplying it by -3, which is,

7 - 3 x 4 -3 x - 2x - 10x =

7 - 12 + 6x - 10x.

Combine terms, which should be

7 - 12 and +6x - 10x =

-5 - 4x

Therefore the expression 7 - 3(4 - 2x) - 10x is equivalent to -5 - 4x when simplified.

The answers above is in reference to the full questions below;

Jan

7 - 3(4 - 2x) - 10x

4 (4 - 2x) - 10x

16 - 8x - 10x

16 - 18x

1. Jan did not follow the order of operation. Explain What he did wrong?

Madison

7 - 3(4 - 2x) - 10x

7 - 3(2x) - 10x

7 - 6x - 10x

7 - 16x

2. Madison made a mistake when she combined terms. Explain what Madison did wrong?

Selina

7-3(4-2x)-10x

7 - 11 - 2x - 10x

-5 - 12x

3. Selina did not used the distributive property correctly. What did she do wrong? Explain your thinking?

4. Write an expression that is equivalent to 7 - 3(4 -2x) - 10x. Show your work.

5. How can you be sure that you have used the properties of operation correctly to form an expression that is equivalent to the original one?

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Answer:

It's gonna be C and good luck!

The angle x in the circle is 74 degrees.

The central angle is formed at the centre of a circle due to the intersection of any two radii within the circle.

The central angle of an arc is the central angle subtended by the arc.

The measure of an arc is the measure of its central angle.

Therefore,

x = 74 degrees

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