PLS HELP ME WITH THIS

From Bayes' Theorem, an events related to involved in a hit and run accident at night. The required probability that the blue cab involved in accident rather than green as well as witness also identified it as blue cab is equals to the 0.41 or 41% .

Bayes' Theorem states that the conditional probability of an event, is based on the occurrence of another event, is equal to the likelihood of the second event the first event multiplied by the probability of the first event. According to scenario, it is found that a cab was involved in a hit and run accident at night. Number of cab companies operates in city = 2 ( blue and green)

Probability that green cab involved in accident, P(G) = 85% = 0.85

Probability that blue cab involved in accident, P( B) = 15% = 0.15

Now, the cab which is identified by witness was a blue cab and after identification court also tested the witness's credibility. Here, probability that witness is correct to identification a blue cab = P(W/B) = 0.80

Probability that witness is wrong to identify the blue cab = P(W/G)

= 0.20

Using the Baye's theorem, Probability that accident was caused by blue cab provided witness identifies is, \(P( B/W) = \frac{ P(B ∩W )}{ P( W)} = \frac{ P( B) P( W/B)}{ P( W)} \\ \)

Total Probability, P(W) = P(B)P(W/B) + P(G)P(W/G)

= 0.15 × 0.8 + 0.85 × 0.2 = 1.2 + 1.7 = 2.9

P(B/W) = (0.15 × 0.8)/2.9

= 1.2/2.9 = 0.41 = 41%

Hence, required probability value is 41%.

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Answer:

25 ft

Step-by-step explanation:

Answer:

Adjusted Price with delivery: $341.25

Delivery Cost: $16.25

Step-by-step explanation:

Original Price: $325

Adjusted Price with delivery: $341.25 ($325 + $16.25)

Delivery Cost: $16.25

10% of $325 = $32.50

5% of $325 = $16.25 ($32.50 / 2)

Answer:

so.if u have 5% for delivery you can take it away from the 325 and solve the problem

Answer: \(270\ in.^3\)

Step-by-step explanation:

Given

Volume of a gas varies inversely with pressure i.e.

\(V\propto \dfrac{1}{P}\\\\PV=\text{constant}\)

Initially, \(V_1=450\ in.^3,P_1=3\ psi\)

Then, pressure increases to \(P_2=5\ psi\)

\(\therefore P_1V_1=P_2V_2\\\Rightarrow 3\times 450=5\times V_2\\\Rightarrow V_2=3\times 90\\\Rightarrow V_2=270\ in.^3\)

Thus, volume decreases to \(270\ in.^3\).

The harmonic conjugate of u(x, y) = 2x(1 - y) is v(x, y) = 2y - y² - x² + C, where C is an arbitrary constant.

Here we want to find the harmonic conjugate of:

u(x, y) = 2x*(1 - y)

To do so, we need to use the Cauchy-Riemann equations state that for a function f(z) = u(x, y) + iv(x, y) to be analytic (holomorphic), the partial derivatives of u and v must satisfy the following conditions:

∂u/∂x = ∂v/∂y

∂u/∂y = -∂v/∂x

Let's find the harmonic conjugate by solving these equations:

Given u(x, y) = 2x(1 - y)

∂u/∂x = 2(1 - y)

∂u/∂y = -2x

Setting these derivatives equal to the respective partial derivatives of v:

∂v/∂y = 2(1 - y)

∂v/∂x = -2x

Now, integrate the first equation with respect to y, treating x as a constant:

v(x, y) = 2y - y² + f(x)

Differentiate the obtained equation with respect to x:

∂v/∂x = f'(x)

Comparing this derivative with the second equation, we have:

f'(x) = -2x

Integrating f'(x) with respect to x:

f(x) = -x² + C

where C is a constant of integration.

Now, substitute f(x) into the equation for v(x, y):

v(x, y) = 2y - y² - x² + C

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The maximum common divisor (GCD) of 'a' and 'b' is 8.

To determine the greatest common divisor (GCD) of 'a' and 'b', we can follow Tina's steps using the Euclidean division algorithm. In one of her steps, she divides 616 by 32.

The Euclidean division algorithm involves repeatedly dividing the larger number by the smaller number and assigning the remainder as the new dividend. This process continues until the remainder becomes zero. The last non-zero remainder obtained is the GCD of the two numbers.

Let's perform the Euclidean division of 616 by 32:

Dividend = 616

Divisor = 32

Dividing 616 by 32, we get:

616 ÷ 32 = 19 remainder 8

New Dividend = 32

New Divisor = 8

Dividing 32 by 8, we get:

32 ÷ 8 = 4 remainder 0

Since the remainder is zero, we stop the division. The GCD of 616 and 32 is the last non-zero remainder obtained, which is 8.

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el MCD de a y b es 8.

El algoritmo de división de Euclides se utiliza para encontrar el máximo común divisor (MCD) de dos números a y b.

La idea detrás de este algoritmo es que el MCD de a y b es igual al MCD de b y el resto de a dividido por b, que se escribe como a % b.

En cada iteración, se divide b en a % b, se actualizan los valores de a y b y se repite el proceso hasta que a % b es igual a cero. Cuando esto sucede, el último valor no nulo de b es el MCD de a y b.

Entonces, veamos cómo Tina usa el algoritmo de división de Euclides para encontrar el MCD de a y b.

Paso 1:

Divida 616 entre 32
616 = 32 x 19 + 8
Por lo tanto, a = 616 y b = 32, lo que significa que a % b = 8

Paso 2:

Divida 32 entre 8
32 = 8 x 4 + 0
Como a % b es igual a cero en este paso, el MCD de a y b es 8.

Entonces, el MCD de a y b es 8.

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Answer:

Pink Starburst occupies 20% of the total bag space

Step-by-step explanation:

Given

Ratio of pink (P) starburst to yellow (Y) starbursts \(= 0.25\)

Mathematically, it can be written as

\(\frac{P}{Y} = 0.25\\Y = \frac{P}{0.25} \\Y = 4P\)

Then the % space taken by pink startburt is equal

\(\frac{P}{4P + P} \\= \frac{P}{5P}\\= \frac{1}{5}\\= 0.2\)

Hence, Pink Starburst occupies 20% of the total bag space

With the informations given by the question, we have the following diagram:

To calculate the height, we have the following trigonometric relation(since it is a right triangle):

Just solving for 'h':

With this, we have our height. The height of the kite is 363.7 ft

Tripling the linear size of an object multiplies its area by a factor of nine.

When the linear size of an object is tripled, the area of the object is multiplied by 9.

This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.

Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:

A' = (3L)^2

A' = 9L^2

Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.

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Answer:

A ratio is basically how much of one thing there is compared to another thing. They can be showed using a colon like "3:1" or using the word "to" like "3 to 1" or lastly, they can also be shown as a fraction "3/1".

2 examples:

2:5

4 to 3

5/6

Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft

Answer:

Formula for area is length times width

So 2x × x = 2x^2

E. G.

2×2×2=8

And can also be written as 2^3

Meaning 2×2×2

So in this instance x × x=x^2

In front of the length x imagine a 1

So 2×1=2

Therefore 2x^2

Answer:

Area = 2x²

Step-by-step explanation:

Area = L x W

L = 2x

W=x

 x*2 =2x

x*x =x²

 Area = 2x²

Answer:

{2, 6}

Step-by-step explanation:

Subset: A subset is a set of which all the element are contained or can be find in the universal set.

From the question above,

μ = {1,2,4,5,6}

* The first option {0,1,2} is wrong because  0 is not contained in the universal set.

* The second option {3,4} is wrong because, 3 is not contained in the universal set.

* The third option {5,6,7} is wrong because 7 is not contained in the universal set.

* The last option {2,6} is correct because all of the element of the set are contained in the universal set, and as such makes it a subset.

Hence the subset of {1,2,4,5,6} is {2, 6}

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The values of each measure:

m∠WYZ = 43

m∠WXY = 33

m∠YWX = 61

m∠ZWX = 30.5

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Z is the incenter of WXY.

m∠WYX = 86

This means,

m∠WYZ = m∠XYZ = x

m∠WYZ + m∠XYZ = m∠WYX

2x = 86

x = 43

m∠WXZ = 33.

m∠WXZ = m∠WXY

Now,

The triangle WXY.

m∠YWX + m∠WXY + m∠WYX = 180

m∠YWX + 33 + 86 = 180

m∠YWX = 180 - 119

m∠YWX = 61

m∠ZWX = 61/2 = 30.5

Thus,

The values of each measure:

m∠WYZ = 43

m∠WXY = 33

m∠YWX = 61

m∠ZWX = 30.5

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A rectangle with proportions close to the Golden Ratio of approximately 1:1.618 is believed to be aesthetically pleasing.

A rectangle with sides that are in the golden ratio, or roughly 1:1.618, is referred to as a golden rectangle. This ratio has been employed in art, architecture, and design for ages since it is seen to be aesthetically beautiful.

To build a golden rectangle, start with a square and then add a smaller square to one of its sides to form a rectangle. The smaller rectangle is then used to repeat this procedure until you obtain a rectangle whose sides are in the golden ratio.

The layout of credit cards is one instance of a situation in real life that makes use of a golden rectangle. Golden rectangles are a popular shape for credit cards because of their attractive proportions and visual balance. A golden rectangle may also be used in credit card designs to help the card stand out from other cards and be simpler to recognize. The dimensions of several paintings, sculptures, and structures are more instances of how golden rectangles are used in the design.

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30 hours of use by the Washington family sprinkler and 35 hours of use by the Bennett family sprinkler.

We can find how long was each sprinkler used by substitution method.

Let W = hours of use by the Washington family

65 - W = hours of use by the Bennett family

According to the question we get

15W + 40(65 -W) = 1850

15W + 2600 - 40W = 1850

-25W = -750

W = 30

Now, put the value of W in 65 - W to calculate the hours used by the Bennett family

65 - W = 65 - 30 = 35

Thus, the amount of time used for sprinklers by the Washington family and the Bennett family is 30 hours and 35 hours, respectively.

--The given question is incomplete, the complete question is

"The Washington family and the Bennett family each used their sprinklers last summer. The water output rate for the Washington family's sprinkler was 15L per hour. The water output rate for the Bennett family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850L. How long was each sprinkler used?"--

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Each of the 3 brothers will receive approximately 133.33 grams of cotton candy.

To determine the amount of cotton candy each of the 3 brothers will receive, we need to divide the total amount of cotton candy by the number of brothers.

Let's assume that each cone of cotton candy weighs 100 grams, making the total weight of the 4 cones equal to 400 grams.

To find out how much cotton candy each brother receives, we can use the division operation. The division statement is:

To solve for X, we need to perform the division operation, which gives us:

Therefore, each of the 3 brothers will receive approximately 133.33 grams of cotton candy.

It is important to note that if the weight of each cone of cotton candy or the total weight of the cotton candy changes, the division statement used to determine the amount of cotton candy each brother receives will also change accordingly. However, the formula of dividing the total amount of cotton candy by the number of brothers will remain the same.

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Some alkenes have geometric cis-trans isomers because of the presence of a double bond between two carbon atoms. In a carbon-carbon double bond, the carbon atoms are connected to two different groups of atoms, which can be oriented differently in space. In the cis configuration, the two substituent groups on each carbon atom are on the same side of the double bond, while in the trans configuration, the two substituent groups on each carbon atom are on opposite sides of the double bond.

The cis-trans isomerism arises due to the restricted rotation around the carbon-carbon double bond. In the case of cis isomers, the substituent groups are too bulky to rotate around the double bond, and they remain on the same side of the double bond. In contrast, in the trans isomers, the substituent groups are oriented on opposite sides of the double bond, which allows them to rotate freely around the bond.

The presence of cis-trans isomers has important consequences for the physical and chemical properties of alkenes, including their reactivity, solubility, and melting points. The two isomers can have different properties and can exhibit different biological activities, making them important targets for drug design and synthesis.

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Answer:

Option (A)

Step-by-step explanation:

A set of real numbers is a combination of both rational and irrational numbers.

But the elements in the sets of rational and irrational numbers will be different.

In short, rational and irrational number sets are the two subsets of real numbers.

Hence, the number is an element of either the set of rational numbers or the set of irrational numbers.

Option (A) is the correct option.

In this problem the diagonal of the Tv is 19 and the hight is 11 so we can use the pythagorical theorem to find the width (w) so:

and we solve for w so

The steps to help him calculate his gross pay are:

1) Determine the actual number of working hours.

2) Multiply the hours worked by the hourly rate.

3) If there is overtime work, it is calculated by multiplying the overtime hours worked by the overtime wage rate.

4) Add the regular wage and the overtime wage to calculate the total wage for this wage period. 

Gross pay wages are the total amount an employee earns for the hours they work. This includes full wages before taxes and deductions. Gross wages include regular hourly wages and salaries, as well as overtime, bonuses, or reimbursements from employers.

To find the total wage, multiply the number of hours worked by the wage rate. Consider additional income, such as overtime. 1) The following steps show how gross wages are calculated for hourly wages.

1) Determine the actual number of working hours.

2) Multiply the hours worked by the hourly rate.

3) If there is overtime work, it is calculated by multiplying the overtime hours worked by the overtime wage rate.

4) Add the regular wage and the overtime wage to calculate the total wage for this wage period. 

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Answer:

\(\huge\boxed{\sf x=4,\ y=7}\)

Step-by-step explanation:

Given that:

(4,y) = (x,7) [Both are equal]

Comparing both sides of the equation:

we will get,

4 = x

or

x = 4

and,

y = 7

\(\rule[225]{225}{2}\)

Let's denote the consecutive even integers representing the number of pennies, dimes, nickels, and quarters as 2n, 2n+2, 2n+4, and 2n+6, respectively.

We know that 100 pennies make $1, 10 dimes make $1, 20 nickels make $1, and 4 quarters make $1.

To find the number of coins, we need to set up an equation based on the given information:

2n + 10(2n+2) + 20(2n+4) + 4(2n+6) = 682 (converted $6.82 to cents)

Simplifying the equation:

2n + 20n + 20 + 40n + 80 + 8n + 24 = 682

70n + 124 = 682

70n = 558

n = 8

Now, we substitute the value of n back into the expression for the number of coins:

2n = 2(8) = 16

2n+2 = 2(8)+2 = 18

2n+4 = 2(8)+4 = 20

2n+6 = 2(8)+6 = 22

Therefore, Michelle has 16 pennies, 18 dimes, 20 nickels, and 22 quarters. In total, she has 16 + 18 + 20 + 22 = 76 coins.

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\(z = \frac{0.08 - 0.083}{\sqrt{0.083 * 0.917/100} }\)

  = 0.108

pₐ = P( z < -0.108 ) = 0.4562

So the p-value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people with depression or a depressive illness is not significantly lower than 0.083 (8.3%)

Data given and notation

n = 100 represent the random sample taken

X=8 represent the people with depression or a depressive illness

p = 8/100 = 0.08 estimated proportion of people with depression or a depressive illness

p₀ = 0.083  is the value that we want to test

α = 0.05 represent the significance level  assumed

Confidence = 83% or 0.83  assumed

z  would represent the statistic (variable of interest)

pₐ represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportions of people with depression or a depressive illness is lower than the general adult population value of 8.3% or 0.083:  

Null hypothesis:  

p ≥ 0.083

Alternative hypothesis:  

p < 0.083

When we conduct a proportion test we need to use the z statistic, and the is given by:

\(z = \frac{p- p_{0} }{\sqrt{p_{0} ( 1 - p_{0} )/ n } }\)                       ---------------------  (1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

\(z = \frac{0.08- 0.083 }{\sqrt{0.083 ( 1 - 0.083 )/ 100 } }\)

 =  - 0.083 / √ 0.0076

 = -0.083 / 0.028

 = -0.108

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is α = 0.05 . The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

     pₐ = P( z < -0.108 ) = 0.4562

So the p value obtained was a very high value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people with depression or a depressive illness is not significantly lower than 0.083 (8.3%).

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Answer:

hope it help

Step-by-step explanation:

step by step naYn

Answer: B

Step-by-step explanation:

Solve 36 + 60, which is 96. Complete other equations until you find whichever is equal to 96.

The correct answer is B.

Solve 4(9 + 60)

4x9 = 36

36 + 60 = 96

Answer:

There is no valid answer option for the expression as written.

Step-by-step explanation:

An answer already posted suggests the expression 4(9 + 60) can be expanded to match the value of 36 + 60, which is 96.

But 4(9 + 60) must be expannded according to PEDMAS, where the P stands for the parentheses. That means the first step should be:

4(9 + 60)

4(69)

Now we can multiply the two numbers, but that gives a result far different than 96: [276]

I don't see any of the other options amounting to 96. Please check the formatting.

The forecast for week 6 if Y is forecast for demand of chips sale and X is the week 18. The correct answer is 1) 18 KD.

This forecast assumes a linear relationship between the demand for chips sale and time. To use the equation Y=2X+6 for forecasting the demand of chips sale, we need to plug in the value of X, which is the week for which we want to create the forecast. Here, we want to forecast for week 6, so X=6.

Substituting the value of X=6 in the equation, we get:

Y=2(6)+6

Y=12+6

Y=18

Therefore, the forecast for week 6 using the given equation is 18.

Hence, option 1) 18 KD is the correct answer.

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The value of k from the equation is k = -20

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = kx   be equation (1)

Let the first point be P ( 4 , -80 )

Substituting the values in the equation , we get

-80 = 4k

Divide by 4 on both sides of the equation , we get

k = - ( 80/4 )

On simplifying the equation , we get

k = -20

Hence , the equation is k = -20

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Answer:Pythagorean Theorem

Step-by-step explanation:

The number of miles in 4 weeks is 20 mules

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

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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