Mathematics College

How do you determine if two probabilities are conditional to each other?
Please help

Answers

Answer 1
if they are conditional
Answer 2

Final answer:

You can determine if two probabilities are conditional by checking if the occurrence of one affects the probability of the other. If it does, the probability is conditional, represented by P(A|B), otherwise, the events are independent.

Explanation:

Determining Conditional Probabilities

To determine if two probabilities are conditional to each other, you consider if the occurrence of one event affects the probability of the other event happening. The conditional probability of event A given event B is denoted by P(A|B). This is calculated by dividing the probability of both events A and B occurring together (P(A AND B)) by the probability of event B:

P(A|B) = P(A AND B) / P(B)

This formula is applicable only when P(B) is greater than zero, meaning event B must have a chance of occurring. If the probability of A happening does NOT change whether B occurs or not, then A and B are independent events. Conversely, if the probability of A does depend on the occurrence of B, then A and B are dependent, and the probability P(A|B) is a conditional probability.

Independence is defined as the situation where the probability of A and B occurring together is the product of their individual probabilities (P(A) * P(B)). If this is true, P(A|B) would simply be P(A), as B's occurrence doesn't affect A's probability.

Related Questions

When no more than 110 units are​ produced, the cost of producing y units is given by​ c(x). ​c(x)equals0.2 x cubed minus 24 x squared plus 1524 x plus 31 comma 272 how many units should be produced in order to have the lowest possible average​ cost?

Answers

Given that the cost of production is modeled by:
c(x)=0.2x^3-24x^2+1524x+31272
for lowest average cost, we calculate c'(x)=0
thus:
From c(x), we shall have:
c'(x)=0.6x^2-48x+1524
solving for x we get:
x=40+/- 30.6594i
but since we are looking for a definite number of units, we shall do away with the complex part such that we shall remain with:
x=40 units
hence the minimum number of units will be 40 units

Explain how you can use a model to find 4x 3/8

Answers

4 rectangles split it on 8 part then shade 3 of the 8 parts, them count every rectangle shades and add the all together, you will get 12/8, is the same if you multiply 4*3/8 you will get 12/8 simplified is 1/2!

hey can you please help me posted picture of question

Answers

For this case we have the following function transformation:
 Horizontal translations:
 Suppose that h> 0:
 To graph y = f (x + h), move the graph of h units to the left.
 Answer:
 option B
Addition of a number to x as is done in F(x+6) results in a shift towards left direction of the original function. Since G(x) = F(x+6) , G(x) is obtained by moving F(x) 6 units to left.

So, G(x) is F(x) shifted 6 units to the left.

Thus, the correct answer is option B

For a popular Broadway musical, theater box office all $356 apiece 275, tickets and $60 apiece, and 369 tickets and $45 apiece. How much money did the box office ticket Take in?

Answers

Answer: $ 61,585

Explanation:

Since the question is incomplete and confusing, here I rephrase it:

A theater box office sold:

     356 tickets at $80 apiece,
     275 tickets at $60 apiece, and
     369 tickets at $45 apiece.

How much money did the box office take in?

The problem is solved by multiplying the number of tickets at each price and adding all the partial sums:

This is: 

356 tickets × $80 / ticket = $28,480
275 tickets × $ 60 / ticket = $16,500
369 tickets × $45 / ticket = $16,605

Sum = $28,840 + $ 22,000 + $ 16,605 = $ 61,585
Answer: $ 61,585
If this is what your question means, then;

1. 356 tickets at $80 apiece2. 275 tickets at $60 apiece3. 369 tickets at $45 apiece
Just multiply the number of tickets per class to its corresponding price:356 tickets * $80 / ticket = $28,480275 tickets * $ 60 / ticket = $16,500369 tickets * $45 / ticket = $16,605
Total = $28,840 + $ 22,000 + $ 16,605
Total = $ 61,585
The total earnings is $ 61,585

Sally has x books that weigh 2 pounds each and 8 books that weigh 3 pounds each. the total weight of her books is 62 pounds. which equation below could be used to find how many 2-pound books sally has?

Answers

if Sally has x books that are 2 pounds then her x books weights a total of 2x lbs.

8 books of 3 lbs weights 8*3=24lbs

All them add up to 62, therefore we can conclude to the equation :
2x+24=62
or we can simplify to
2x=38
or even
x=19

Miles had a piece of paper 1/4 of a large circle cut in three equal parts from the center point of the circle. What angle is the measure of each part?

Answers

The angle of 1/4 of a circle is given by:
 (1/4) * (360) = 90 degrees
 We now look for the angle that results from dividing 1/4 of a circle into three equal parts.
 We have then:
 (1/3) * (90) = 30 degrees.
 Answer:
 the measure of each part is:
 30 degrees

The measure of the each part of the large circle is 90 degrees.

What is the measue of each part?

A circle is a bounded figure which points from its center to its circumference is equidistant. The sum of angles in a circle is 360 degrees.

Measure of the angle of each part = 1/4 x 360 = 90 degrees

To learn more about a circle, please check: https://brainly.com/question/14351152

Can someone please help me

Answers

No, the two rectangles are not similar. Similar rectangles will have the same ratio of shortest to longest side lengths.
  3 : 4 ≠ 5 : 6

Find the area of the parallelogram with vertices at (−2,3),(−2,3), (6,14),(6,14), (−14,1),(−14,1), and (−6,12).(−6,12).

Answers

C is your answer your welcome

A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer to the nearest hundredth.

Answers

Angular velocity = 300 revolutions per minute

1 revolution = 2π radians.

So, we can write:

Angular velocity = 300 x 2π radians per minute = 600π radians per minute

1 minute = 60 seconds.

So, 

Angular velocity = 600π radians per 60 seconds
⇒
Angular velocity = 10π radians per second
Angular velocity = 31.42 radians per second

Thus, rounding of to nearest hundredth, the angular velocity will be 31.42 radians per second. 

Answer:

31.42

Step-by-step explanation:

hey can you please help me posted picture of question

Answers

The parent function of the shown graph is option C
y = x³

hey can you please help me posted picture of question

Answers

im sure that it is A. i hope this helps you and you make a great grade on your test
Answer:
The solutions are: 1 + 6i and 1 - 6i

Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0

The given equation is:
x² - 2x + 37 = 0

By comparison:
a = 1
b = -2
c = 37

Now, to get the solutions of the equation, we will use the quadratic formula shown in the attached image.

By substitution in this formula, we would find that:
either x = [tex] \frac{2+ \sqrt{(-2)^2-4(1)(37)} }{2(1)} = 1 + 6i[/tex]

or x = [tex] \frac{2- \sqrt{(-2)^2-4(1)(37)} }{2(1)} = 1 - 6i[/tex]

Hope this helps :)

Information about the age of participants in a robotics competition is below: A box plot titled "Age of Participants" and labeled "Age" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 31 on the number line. A line in the box is at 16. The whiskers end at 11 and 33. The middle 50% of the data is between what two numbers?

Answers

Final answer:

The middle 50% of the age of participants in the robotics competition falls between 13 and 31.

Explanation:

The box plot represents the age distribution of participants in a robotics competition. The box extends from the lower quartile (Q1) to the upper quartile (Q3), which in this case are 13 and 31, respectively. The line within the box represents the median, which is 16. The whiskers represent the range of the data, ending at 11 and 33.

To find the middle 50% of the data, we need to determine the values that lie between Q1 and Q3. Therefore, the middle 50% of the age of participants in the robotics competition falls between 13 and 31.

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Circle 1 is centered at (-4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimeters. What transformations can be applied to circle 1 to prove that the circles are similar? The circles are similar because you can translate circle 1 using the transformation rule ( x, x) and then dilate it using a scale factor of ( ).

Answers

we know that
Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another. 
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that
 

Circle 1 is centered at (-4, 5) and has a radius of 2 centimeters
Circle 2 is centered at (2, 1) and has a radius of 6 centimeters

step 1
Move the center of the circle 1 onto the center of the circle 2
the transformation has the following rule
(x,y)--------> (x+6,y-4)
so
(-4,5)------> (-4+6,5-4)-----> (2,1)
so
center circle 1 is now equal to center circle 2 
The circles are now concentric (they have the same center)

step 2
A dilation is needed to increase the size of circle 1 to coincide with circle 2

scale factor=radius circle 2/radius circle 1-----> 6/2----> 3

radius circle 1 will be=2*scale factor-----> 2*3-----> 6 cm
radius circle 1 is now equal to radius circle 2 

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar


the answer is

The circles are similar because you can translate circle 1 using the transformation rule ( x+6,y-4) and then dilate it using a scale factor of (3 )

What is the standard form of the equation of a circle given by x^2 + y^2 - 18x + 8y + 5 = 0

Answers

Completing the square:


x^2 - 18x + y^2 + 8y                       = -5
x^2-18x +81 - 81 + y^2 + 8y + 16 - 16 = -5.

Then, (x-9)^2 + (y+4)^2 = -5 + 81 + 16 = 92

Then the desired equation is (x-9)^2 + (y+4)^2 = 92.

Answer:

x-9,y+4,92

Step-by-step explanation:

PLZ HELP ASAP TANGENTS OF CIRCLES

Answers

First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O. 
 
    m∠O = 2 (65°) = 130°

Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°. 

     m∠O + m∠C + m∠B + m∠A = 360°

Substituting the known values,
     130° + 90° + 90° + m∠A = 360°

The value of m∠A is equal to 50°.

Answer: 50°

Marcus drew a quadrilateral with only 1 pair of parallel sides. Which quadrilateral did Marcus draw?

Answers

That would be a trapezoid
a trapezoid! 
Hope this helps! <3

what is a factor of 4x^2+36x+72

Answers

Clearly, 4 is a factor of all terms. Beyond that, a graph suggests that (x+3) and (x+6) are also factors.

[tex]4x^{2}+36x+72=4(x+3)(x+6)[/tex]

Use right triangle DCB to find the trig values for angle D.

sinD =

cosD =

tanD =

Answers

sin D= opp./hyp. = 35/37
cos D= adj./hyp. = 12/37
tan D= opp./ adj. = 35/12

Answer: sinD = 0. 9459

cosD =0. 3243 tanD=2. 917

Step-by-step explanation:

From the figure above;

opposite = 35

adjacent = 12

hypotenuse = 37

sin D = opposite/hypotenuse

sinD = 35/37 = 0. 9459

cosD = adjacent/hypotenuse

= 12/37 = 0. 3243

tanD = adjacent/opposite

= 35/12 = 2. 9167

Find the relative rate of change of the function f(x)=150-0.08x^2

Answers

Relative change of a function is given by it's first derivative:
The relative rate of change will be given by:
f(x)=150-0.08x^2
the first derivative is given by:
f'(x)=-0.16x
thus the answer is:
f'(x)=-0.16x

The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. what is the probability that washing dishes tonight will take me between 11 and 13 minutes?

Answers

12 min 12 min 12 min 12 min

require help with this question

Answers

a) There are a number of ways to compute the determinant of a 3x3 matrix. Since k is on the bottom row, it is convenient to compute the cofactors of the numbers on the bottom row. Then the determinant is ...
  1×(2×-1 -3×1) -k×(3×-1 -2×1) +2×(3×3 -2×2) = 5 -5k

bi) Π₁ can be written using r = (x, y, z).
  Π₁ ⇒ 3x +2y +z = 4

bii) The cross product of the coefficients of λ and μ will give the normal to the plane. The dot-product of that with the constant vector will give the desired constant.
  Π₂ ⇒ ((1, 0, 2)×(1, -1, -1))•(x, y, z) = ((1, 0, 2)×(1, -1, -1))•(1, 2, 3)
  Π₂ ⇒ 2x +3y -z = 5

c) If the three planes form a sheath, the ranks of their coefficient matrix and that of the augmented matrix must be 2. That is, the determinant must be zero. The value of k that makes the determinant zero is found in part (a) to be -1.

A common approach to determining the rank of a matrix is to reduce it to row echelon form. Then the number of independent rows becomes obvious. (It is the number of non-zero rows.) This form for k=-1 is shown in the picture.

write a number sentence to compare 7.17 and 7.170

Answers

Both of these values are the same, so the number sentence would state:

7.17 = 7.170

You can place any number of zeros to the very end on the right side (when there is a decimal point) without changing the value of the number.

7.1700000 = 7.17 also

Answer:

They are equal

Step-by-step explanation:

A car dealer buys a new car for $24,500. The dealer then marks the car's price up 27%
What is the selling price of the car?

Answers

the new price of the car is $31,115

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Which best describes a triangle with side lengths of 6 inches 8 inches and 9 inches?

Answers

It is an acute scalene triangle.

Concerned about graffiti, mayors of nine suburban communities instituted a citizen community watch program. community monthly incidents after monthly incidents before burr oak 2 7 elgin corners 3 2 elm grove 6 2 greenburg 4 3 huntley 5 11 north lyman 3 9 south lyman 3 5 pin oak 5 7 victorville 2 3 click here for the excel data file (a) choose the appropriate hypotheses to see whether the number of graffiti incidents declined. assume μd is the mean difference in graffiti incidents before and after.

Answers

Just to be clear, the data are reported in the picture attached.

We set the difference in graffiti incidents between before (B) and after (A) as:
d = A - B
If the number of incidents has indeed reduced, then d will be negative.

In order to choose the hypothesis, we need to recall that the null hypothesis H₀ represents the statement that we want to prove wrong, while the alternative hypothesis H₁ represents the statement that we want to prove right.
Therefore, we want μd to be strictly negative (= 0 would mean that the number of incidents stayed constant).

Hence:
H₀ : μd  ≥ 0
H₁ : μd < 0  


Final answer:

The appropriate hypotheses to determine if graffiti incidents declined involve a null hypothesis where the mean difference is greater than or equal to zero and an alternative hypothesis where the mean difference is less than zero. The μd represents the mean difference in graffiti incidents before and after the institution of the community watch program.

Explanation:

The appropriate hypotheses to test whether the number of graffiti incidents declined in the suburban communities after the institution of a citizen community watch program are as follows:

H0: μd ≥ 0 (Null hypothesis: The mean difference in graffiti incidents before and after is greater than or equal to 0, indicating no decrease.)Ha: μd < 0 (Alternative hypothesis: The mean difference in graffiti incidents before and after is less than 0, indicating a decrease.)

Here, μd (mu-sub-d) represents the mean difference between the number of incidents before the program and after the program was implemented. To test these hypotheses, we would typically conduct a paired t-test if the samples are normally distributed or a Wilcoxon signed-rank test if the distribution is not normal.

Assuming μd is the mean difference in graffiti incidents before and after, the test will determine if there is statistically significant evidence to support that the community watch program resulted in a reduction of graffiti incidents.

Write the quotient as a mixed number. 33 ÷ 5 = 6 R2

Answers

A mixed number is a number with an integer and proper fraction.

33 / 5 = 6 R3 which is equal to 6 and 3/5

Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?

Answers

We have to find value of the house in 8 years so we will plug t=8 years in given equation.

[tex] y=150000(1.004)^{\left(12t\right)} [/tex]

[tex] y=150000(1.004)^{\left(12*8\right)} [/tex]

[tex] y=150000(1.004)^{96} [/tex]

[tex] y=150000(1.46702133432) [/tex]

[tex] y=220053.200148 [/tex]

Hence house will worth approx $220053.20 in 8 years.

Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?

Solution:

Equation of the appreciation of the value of house is given by:-

[tex]y=150000(1.004)^{12t}[/tex]

We need to find the worth of the house after 8 years

So, that means time, t=8

Let us plug t=8 in the equation [tex]y=150000(1.004)^{12t}[/tex]

So, we get,

[tex]y=150000(1.004)^{12*(8)}[/tex]

[tex]y=150000(1.004)^{96}[/tex]

[tex]y=150000(1.467021)[/tex]

y=150000*1.467021

y=220053.20

In 8 years the value appreciates to $220053.20, that s, worth of house after 8 years=$22005320


Which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1

Answers

Graph B is the correct answer as of July 2018

The graph that shows a negative linear relationship that has a correlation coefficient, r, that is closer to -1 is: B. graph B.

What is a Negative Linear Relationship Graph?

A graph that shows a negative linear relationship has a trendline that slopes downwards from your left to the right.

The closer the data points are to each other along the trendline in a negative linear graph, the closer the correlation coefficient, r, is to -1.

Therefore, the graph that shows a negative linear relationship and has a correlation coefficient, r, that is closer to -1 is: B. graph B.

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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Hello!

The formula for the area of a sector can be written as follows:

Area = [tex] \frac{1}{2} [/tex][tex]r^{2} [/tex](R)

In the above formula, “r” represents the radius while “R” represents the radian measure of a sector. The radius is given to us in the image above as 10 inches. However, we still need the radian measure of the two sectors. To find this measure, we can use the following conversion:

1 degree = [tex] \frac{pi}{180} [/tex] radians

Because the two sectors have a given measure of 72 degrees, we need to multiply both sides of the above conversion by 72:

72 degrees = [tex] \frac{72pi}{180} [/tex]

Reduce the fraction on the right side of the equation:

72 degrees = [tex] \frac{2pi}{5} [/tex]

We now have the radian measure of both sectors. Now simply insert this and any other known values into the “area of a sector” formula above:

Area = [tex] \frac{1}{2} [/tex][tex]10^{2} [/tex]([tex] \frac{2pi}{5} [/tex])

Simplify the right side of the equation to get the following answer:

Area = 20 pi

We have now proven that the area of one sector is equal to 20 pi.

If, however, you need the combined area of the two identical sectors, simply multiply the proven area by 2 to get a total area of 40 pi.

I hope this helps!


Answer: 40 pi

Step-by-step explanation:

What value of y makes the equation true?

Answers

Hi there!

First, we'll need to solve the equation for y. In order to solve for y, we can use our properties. The property we can use in order to solve for y is the subtraction property. Using this property, we can subtract 2.9 from each side. This gives us the value of y as 8.1. Therefore, the answer is A - 8.1.

Hope this helps!! :)
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