Given that P(B AND A) = 0.04 and P(A) = 0.18, what is P(BA)?

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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Answer:

1

Step-by-step explanation:

There is more of those so it has a bigger chance of being chosen

The eccentricity of the conic section below is: A. closer to 0 than 1.

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:

In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.

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If a person going to a party was asked to bring 3 different bags of chips. going to the store, she finds 15 varieties. there are 455 different selections that can she make.

A person going to a party was asked to bring 3 different bags of chips

On going to the store, she finds 15 varieties

Number of different selections can be found by using combination

nCr = n! / (r! x (n - r)!)

Where n denotes the number of choices available and r denotes the number of itmes to be choosen

Here n is 15 and r is 3

nCr = n! / (r! x (n - r)!)

¹⁵C₃ = 15! / (3! x (15 - 3)!)

¹⁵C₃ = 15! / (3! x12!)

¹⁵C₃ = 455

Therefore, if a person going to a party was asked to bring 3 different bags of chips. going to the store, she finds 15 varieties. there are 455 different selections that can she make.

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Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

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Answer: Rafael is incorrect

Step-by-step explanation: 5 is not equal to -5. It is the additive inverse, or negative reciprocal.

Answer:

No he is not because 5=5 when talking about absolute value I think sorry I couldn't show the number line

Step-by-step explanation:

Step-by-step explanation:

here's ..............the answers

Answer: Ronaldo scored 6 goals in his first three soccer games

Step-by-step explanation: Ronaldo scored 6 goals in his first three soccer games because If he scored 4 goals in the fourth match then in the first 3 he would score 6 because 6 + 4 = 10 goals in total. Hope my answer was useful.

Answer:

I didn’t know if I was solving for x or for y but I believe that the answer is x=75-y

Step-by-step explanation:

Solve by simplifying both sides of the equation, then isolating the variable.

Answer:

128 <33

Step-by-step explanation:

6 ÷ 3 + 32 • 4 - 2 = 128

▪︎▪︎▪︎▪︎▪︎▪︎

Answer: I believe it is 3.75-

Step-by-step explanation:

David: 3.25

Jenny: 2.25 more than Dan

Dan: 1.75 less than David

  3.25

-  1.75

_______

  1.50

Dan spent 1.50

  1.50

+ 2.25

 3.25

_______

$7.00

Answer:

B

Step-by-step explanation:

55.85 divided by 7.25 is 7. something sooooo if pants cost 7 dolars more thats 14

The cost of a shirt is $7 and the cost of a pant is $14.

The answer is option B.

Word problems normally include mathematical modeling questions, where records and information approximately a positive machine is given and a student is needed to expand a model. For example, Jane had $5.00, then spent $2.00. How much does she have now?

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Roderigo will pay $7353.80 in interest.

Interest capitalization means the interest earned is added to the principle amount so first we will use compound interest formula.

\(Amount=p(1+\frac{r}{n} )^{nt}\)

p = 8575

r = 7.1% or 0.071

n = 12

t = 4

Putting the values in formula we get

\(Amount=8575(1+\frac{0.071}{12} )^{12(4)}\)

\(Amount=8575(1+\frac{0.071}{12} )^{48}\)

Solving this we get;

Amount = $11381.94

For the next part we have EMI formula as,

\(EMI=\frac{pr(1+r)^{n} }{(1+r)^{n-1}}\)

p = 11381.94

\(r=\frac{7.1}{\frac{12}{100} }=0.005917\)

\(n=(12)(10)\\n=120\)

\(EMI=\frac{11381.94(0.005979)(1+0.005979)^{120} }{(1+0.005979)^{120}-1}\)

EMI = $132.74

Now total payments made in 120 months (10 years) =

\(132.74(120)=15928.80\)  dollars

interest paid =

\(15928.80-8575=7353.80\) dollars

Hence, Roderigo will pay $7353.80

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Answer:

6

Step-by-step explanation:

Answer:

138 pieces

Step-by-step explanation:

You would expect 11.5 per oz because 184/16=11.5.

Then, you multiply 11.5 and 12.

138

Answer:

c

Step-by-step explanation:

the top one goes inside the radical and the bottom one is the root

Answer:

\(|-a| =a\)

Step-by-step explanation:

The area of triangle is 7.4833 ft².

Heron's formula used to calculate the areas of various triangles, including quadrilaterals and the equilateral, isosceles, and scalene triangles.

The Heron's Formula states that the area of a triangle is equal to √s(s-a)(s-b)(s-c), where s is the triangle's semi-perimeter and a, b, and c are its three side lengths.

s= (a+ b+ c)/2

Given:

sides: 3 feet, 5 feet and 6 feet.

semi- perimeter, s= 3+5+6/2 = 7

Now, Using Heron's Formula

= √s(s-a)(s-b)(s-c)

=√7(7-3)(7-5)(7-6)

=√7 x 4 x 2 x 1

=√56

= 7.4833 ft²

Hence, the area of triangle is 7.4833 ft².

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The angle the second cable makes with the ground is 68° (rounded to the nearest degree).

Given that:A telephone pole is secured with a cable as shown. The cable makes an angle of 80° with the ground and is secured 7 m from the bottom of the pole. A second cable is attached from the top of the pole and secured to the ground three times as far from the pole as the first cable and on the same side.The required:Find the angle the second cable makes with the ground, rounded to the nearest degree.Step-by-step explanation:Let AB be the telephone pole and P be the point at which the first cable is attached to the pole such that PB = 7m and angle APB = 80°Let QC be the second cable and Q be the point at which the second cable is attached to the ground, such that CQ = 3PB = 3 × 7 = 21mWe need to find the angle QCB (let this angle be x)AC = AB + BC = AB + CQAB = AC - BC = 21 sec 80° - 21 tan 80° = 197.239 - 9.3646 = 187.8745mNow in right ΔABCtan 80° = BC/ABBC = AB tan 80° = 187.8745 tan 80° = 46.1883mIn right ΔQCBtan x = BC/CQBC = CQ tan x = 21 tan x = 46.1883/21x = tan -1 (46.1883/21) = 68.2959°≈ 68°Hence, the angle the second cable makes with the ground is 68° (rounded to the nearest degree).

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From the statistical point of view , the type I error was made , the correct option is (c) .

In the question ,

it is given that ,

the machine was working well, but on the basis of our statistical hypothesis test, it was concluded that the machine was under-filling or over-filling and hence it was shut down .

but after examination by the engineers , there was nothing wrong with the filling machine .

that means that the null hypothesis was rejected when it was actually true .

which refers to the type I error .

Therefore , the correct option is (c) A Type I error was made.  

The given question is incomplete , the complete question is

The result of a hypothesis test is used to prevent a machine from under-filling or overfilling quart size bottles of olive oil. on the basis of sample, the hypothesis is rejected and the machine is shut down for inspection. a thorough examination reveals to engineers there is nothing wrong with the filling machine. from a statistical point of view:

(a) correct decision was made.

(b) Both, a Type I and a Type II errors were made.

(c) A Type I error was made.

(d) A Type II error was made.

(e) None of these answers.

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To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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The measure of the angle ∠ABD will be 66°.

Given that:

Angle, ∠FEG = 48°

The central angle is double the angle at the periphery that was subtended by the same chords.

The line AC is perpendicular to EF and the line DC is perpendicular to EG. So, the equation is given as,

∠FEG + ∠HCI = 180°

48° + ∠HCI = 180°

∠HCI = 132°

By the above theorem, the equation is given as,

∠ABD = 1/2 ∠HCI

∠ABD = 1/2 x 132°

∠ABD = 66°

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To get the function g, shift f down by 7 units and to the right by 2 units.

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x²

g(x) = (x - 2)² - 7

From the above equations, we can see that

The function f(x) is translated right by 2 units

The function f(x) is translated down by 7 units

This means that

To get the function g, shift f down by 7 units and to the right by 2 units.

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For the equilibrium, the value of supply and the value of demand will be equal. Then the value of price (p) is 58.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The demand and supply equations for overhead projectors in a certain market.

In these equations, p represents price, D represents demand, and S represents supply.

\(\rm S = \dfrac{3}{4}p - 28 \\\\D = -2 p + 131\)

For the equilibrium, the value of supply and the value of demand will be equal. Then we have

\(\begin{aligned} \dfrac{3}{4}p - 28 &= -2 p + 131\\\\3p- 112 &= -8p + 524\\\\11p &= 636\\\\p &= 57.81818 \approx 58 \end{aligned}\)

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Answer: B. 15

Step-by-step explanation: edge 2022 i got it right

So the answer is 1.3 after rounding to 10.

The number of quarters is 16

9514 1404 393

Answer:

  AD is the diameter

Step-by-step explanation:

Angles in a triangle have a sum of 180°, so inscribed angle B is 80° and inscribed angle E is 90°.

An inscribed angle subtends an arc that is twice its measure, so arcs ABD and AED are both 180°. That makes chord AD a diameter.

Points A and D need your cross markings. AD is a diameter of the circle.

The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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The probability that a student plays either baseball or soccer is 0.4296 (or 42.96%).This is the long answer.

Percentage of students that play baseball = 18%Percentage of students that play soccer = 32%Probability of a student playing baseball given that the student plays soccer = 22%We need to find the probability that a student plays either baseball or soccer (or both).Let the probability of a student playing baseball be P(B)Let the probability of a student playing soccer be P(S)Using the formula of conditional probability:P(B|S) = P(B ∩ S) / P(S)Where P(B ∩ S) is the probability that a student plays both baseball and soccerP(B ∩ S) = P(B) + P(S) - P(B ∪ S) (Using the formula of probability of the union of two events)Where P(B ∪ S) is the probability that a student plays either baseball or soccer or bothP(B ∪ S) = P(B) + P(S) - P(B ∩ S)Now substituting the values in the formula:P(B|S) = P(B ∩ S) / P(S) => 0.22 = P(B) + P(S) - P(B ∪ S) / 0.32

Now we need to calculate the probability that a student plays either baseball or soccer or both. Using the formula of probability of the union of two events. P(B ∪ S) = P(B) + P(S) - P(B ∩ S)We know :P(B) = 0.18P(S) = 0.32We need to calculate P(B ∩ S) which can be calculated as follows :P(B|S) = P(B ∩ S) / P(S)0.22 = P(B ∩ S) / 0.32 => P(B ∩ S) = 0.22 x 0.32 = 0.0704Now substituting the values in the formula :P(B ∪ S) = P(B) + P(S) - P(B ∩ S)P(B ∪ S) = 0.18 + 0.32 - 0.0704 = 0.4296

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