the conditional probability of b given a can be found by​ _______.

Answer:

192h

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

there are 24 hours in a day and the experiment is 8 days so 24×8=192

Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer: B, 2×c×d

Step-by-step explanation:

When numbers and letters are next to each other in algebra it means times. So, 2cd means 2×c×d.

Hope this helps :)

Answer:

Step-by-step explanation:

    a) Diameter = 2.1 m

                      r = 2.1 ÷ 2 = 1.05 m

            Area   = πr²

                       = 3.14 * 1.05 * 1.05

                      = 3.46 = 3.5 m²

    b) To find the number of paint tins, divide the area of table top by 1.75 m²

     Number of tins =  3.5 ÷ 1.75

                               = 2 tins

c) Cost of 1 tin = $ 5.50

   Cost of 2 tin = 2 *5.50

                        = $ 11

\(\sf d) Cost\ of \ labour = \dfrac{2}{3} * 11\)

                         = $ 7.30

Answer:

a=3.46 (2dp)   b(ii)=2  

Step-by-step explanation:

a)

πr²=area

2.1/2 = 1.05 as the radius

1.05² x π= 3.46 (2dp)

b)

3.46/1.75= 1.98

1.98 can be changed into two

∴ 2 tins will be needed

Answer:

29x38= 950

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

3(x-4)= -21

x - 4 = -7( to get this divide both sides of the equation by 3 )

x = -7 + 4 ( add 4 to both sides of the equation)

x = -3 ( then add -7 and 4 to get -3)

So clearly x = -3

HOPE THIS HELPED

The correct answer is e) all of these are correct. Both PCA (principal component analysis) and topic modeling operate on the term-document frequency matrix and are able to extract latent dimensions from the data.

They both aid the data scientist in exploring and understanding the data, as they can help to identify patterns and underlying themes in the data. PCA is a linear dimensionality reduction technique that can be used to identify the most important variables in a dataset, while topic modeling is a probabilistic approach to uncovering latent topics within a corpus of text. Both methods have been widely used in natural language processing and machine learning applications, and can be powerful tools for gaining insights into large, complex datasets.

PCA (Principal Component Analysis) and topic modeling are techniques that can both operate on the term-document frequency matrix, extract latent dimensions from data, and help data scientists explore and understand the data.

Therefore, the correct answer is e. all of these are correct. PCA is a dimensionality reduction technique that identifies the principal components in the data, while topic modeling is a text mining approach that uncovers hidden topics in a collection of documents. Both methods facilitate data analysis and interpretation by reducing complexity and revealing underlying patterns.

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The standard form of the equation of f(x) is f(x) = x2 - 4x + 12.

Since the vertex of the parabola is at (2, 16), we can write the equation of the parabola in vertex form as:

f(x) = a(x - 2)2 + 16

where "a" is a constant.

To determine the value of "a", we can use one of the points on the parabola, such as (0, 12). Substituting these values into the equation gives:

12 = a(0 - 2)2 + 16

Simplifying this equation yields:

-4 = -4a

Therefore, a = 1. Substituting this value of "a" into the equation gives:

f(x) = (x - 2)2 + 16

Expanding and simplifying this equation gives:

f(x) = x2 - 4x + 12

Therefore, the standard form of the equation of f(x) is f(x) = x2 - 4x + 12. Answer: (B)

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Answer:

3; 6; 6; 5

Step-by-step explanation:

15 / 5 = 3

18 / 3 = 6

12 / 2 = 6

25 / 5 = 5

The population was 6.98 million in 1900. The population of New York decreased with respect to time.

What is an exponential function?

An exponential function is a mathematical function with the formula f (x) = axe, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.

The population of New York state can be modeled by

\(P(t)=\frac{19.71}{1+61.22e^{-0.03513t}}\)

P is the population and t is the number of years since 1800.

The difference between the year 1900 to 1800 is 100.

Putting t = 100 in the given model:

\(P(t)=\frac{19.71}{1+61.22e^{-0.03513\times 100}}\)

\(P(t)=\frac{19.71}{1+61.22e^{-3.513}}\)

P(t) = 19.71/2.8248

P(t) = 6.9774

P(t) = 6.977 (rounded to the nearest thousands)

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Answer:

4

Step-by-step explanation:

Answer:2+2 = 4.............

x - 4 = -12

I think x = -8 as if you decrease -8 by 4 it will leave us with the answer of -12

x = -8

Hope this helped,

Jon

The triangle ADE is similar to the triangle ABC.

What are congruent triangles?

The triangles are congruent if two sides and the included angle of one triangle match the corresponding sides and angle of another triangle.

It is given that triangle ABE is congruent to triangle ACD, which can also be written as ΔABE≅ΔACD.

So, according to the Corresponding parts of Congruent triangles (CPCT) property:

AB=AC...........(1)

AE=AD...........(2)

By dividing 2 and 1 we will get:

\(\frac{AD}{AB} =\frac{AE}{AC}\)........(3)

In the triangles ADE and ABC, ∠A is the common angle and according to this and 3,

ΔADE is similar to ΔABC by side angle side criterion.

Therefore hence it is proved that ΔADE and ΔABC are similar.

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Answer:

x=10

Step-by-step explanation:

10x+8x=180

18×=180

x=10

There are 28 nonnegative integer solutions to the equation x1+x2+x3+x4+x5+x6 = 29, given the constraints x1 ≥ 1, x2 ≥ 2, x3 ≥ 3, x4 ≥ 4, x5 ≥ 5, and x6 ≥ 6.

1. To make the problem easier, we can first subtract the minimum value of each variable from both sides of the equation:

x1' = x1 - 1, x2' = x2 - 2, x3' = x3 - 3, x4' = x4 - 4, x5' = x5 - 5, x6' = x6 - 6.

2. Then, the equation becomes:

x1' + x2' + x3' + x4' + x5' + x6' = 29 - (1 + 2 + 3 + 4 + 5 + 6) = 29 - 21 = 8.

Now we need to find nonnegative integer solutions to this new equation.

3. We can use the stars and bars technique. Since there are six variables (x1', x2', x3', x4', x5', and x6'), we have five dividers to separate the stars (representing the numbers). We need to distribute 8 stars among 6 variables.

4. We can consider placing 8 stars and 5 dividers in a row. There are (8 + 5) = 13 positions, and we can choose 5 of them for the dividers. So, the total number of ways to distribute the 8 stars among the 6 variables is:

C(13, 5) = 13! / (5! * 8!) = 1287.

5. Since x1' = x1 - 1, x2' = x2 - 2, x3' = x3 - 3, x4' = x4 - 4, x5' = x5 - 5, and x6' = x6 - 6, we have:

x1 = x1' + 1, x2 = x2' + 2, x3 = x3' + 3, x4 = x4' + 4, x5 = x5' + 5, and x6 = x6' + 6.

6. Given the initial constraints, there is a one-to-one correspondence between the solutions of the original equation and the transformed equation. Therefore, there are 1287 - 1259 = 28 nonnegative integer solutions to the original equation.

Note: The question is incomplete. The complete question probably is: How many nonnegative integer solutions are there to the equation x1+x2+x3+x4+x5+x6 = 29, if x1 ≥ 1, x2 ≥ 2, x3 ≥ 3, x4 ≥ 4, x5 ≥ 5, and x6 ≥ 6?

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Answer:

A.

1.

125

2.

47.5

B.

30

Exp.:

A.

1. (60x100)/48

2. 57/ 120(fraction)  x 100% = 47.5%

B.  (24×100)÷80

Answer:

Step-by-step explanation:

is it that 1 bird is at the nest and the other is flying away ?

The vectors u, v, and w are linearly independent if the only scalars that will make the equation au + bv + cw = 0 true are a = 0, b = 0, and c = 0. If there are other scalars that are not all zero that will make the equation true, then the vectors are linearly dependent.

To determine if the vectors are linearly independent or dependent, we can set up a matrix with the vectors as columns and use row operations to reduce it to reduced row echelon form. If the matrix has a pivot in every column, then the vectors are linearly independent. If there is a column without a pivot, then the vectors are linearly dependent.

Without the actual values of the vectors u, v, and w, we cannot determine if they are linearly independent or dependent. If they are linearly dependent, we can find the scalars that are not all zero that will make the equation true by solving the system of equations represented by the matrix. If they are linearly independent, the only scalars that will make the equation true are a = 0, b = 0, and c = 0.

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Answer:

1/5

Step-by-step explanation:

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

Answer:

3-1/6

Step-by-step explanation:

1-2/3 *4 = 20/3 = 6-2/3

Now subtract 3-1/2 from that and you will now get 19/6 or 3-1/6

Then your new answer it 3-1/6

Ezra has to throw a beanbag 17 feet far to reach Allie

According to the question,

The distance between Allie and Ezra's flagpoles is 15 feet

length of Allie's flagpole = 35 feet

length of Ezra's flagpole = 27 feet

Difference between Allie and Ezra's flagpole = (35 - 27) feet

= 8 feet

Now, there forms a right angled triangle, where hypotenuse is the distance that Ezra's bean bad has to cover.

Using Pythagoras theorem,

\(H^{2} = B^{2} + A^{2}\)

where H = hypotenuse,

B= Base of the triangle

A = Altitude of the triangle

we are given,

B = 15 feet,

A = 8 feet

On substituting the values,

\(H^{2} = 15^{2} + 8^{2}\)

\(H^{2} = 225 + 64\\H^{2} = 289\\H = \sqrt{289} \\H = 17\\\)

So hypotenuse = 17 feet

Ezra has to throw the beanbag 17 feet far in order to reach it to Allie.

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This is the exponential model that shows the band's membership in terms of T.

Given that the number of members in the band was 82 in 2000 and has decreased by 8% each year,

we need to write an exponential model that shows the band's membership in terms of T.

The formula to find the exponential decay model is as follows: `A = A₀(1 - r)ᵗ`,

where

A = final amount

A₀ = initial amount

r = decay rate

t = time

In this case, the initial amount (A₀) is 82 and the decay rate (r) is 8%,

which can be written as 0.08 (since r is a decimal).

Therefore, the exponential decay model for the band's membership is:`A = 82(1 - 0.08)ᵗ`

Simplifying the expression, we have:`A = 82(0.92)ᵗ`

Thus, this is the exponential model that shows the band's membership in terms of T.

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To write a quadratic function in standard form that passes through the points (-8,0), (-2,0), and (-6,8), we need to use the fact that any quadratic function can be written in the form:

y = a x^2 + b x + c

where a, b, and c are constants. We can find these constants by substituting the coordinates of the three points into this equation and solving for a, b, and c.

Substituting the point (-8,0), we get:

0 = a (-8)^2 + b (-8) + c

Simplifying this equation, we get:

64 a - 8 b + c = 0 (Equation 1)

Substituting the point (-2,0), we get:

0 = a (-2)^2 + b (-2) + c

Simplifying this equation, we get:

4 a - 2 b + c = 0 (Equation 2)

Substituting the point (-6,8), we get:

8 = a (-6)^2 + b (-6) + c

Simplifying this equation, we get:

36 a - 6 b + c = 8 (Equation 3)

Now we have three equations (Equations 1, 2, and 3) with three unknowns (a, b, and c). We can solve this system of equations by eliminating one variable at a time. First, we can eliminate c by subtracting Equation 2 from Equation 1:

60 a - 6 b = 0 (Equation 4)

Next, we can eliminate b by subtracting Equation 2 from Equation 3:

32 a + 4 b = 8 (Equation 5)

Simplifying Equation 4, we get:

10 a - b = 0

or

b = 10 a (Equation 6)

Substituting Equation 6 into Equation 5, we get:

32 a + 4 (10 a) = 8

Simplifying this equation, we get:

72 a = 8

or

a = 1/9

Substituting this value of a into Equation 6, we get:

b = 10 (1/9)

or

b = 10/9

Finally, substituting these values of a and b into Equation 1, we get:

64 (1/9) - 8 (10/9) + c = 0

Simplifying this equation, we get:

c = 176/9

Therefore, the quadratic function that passes through the points (-8,0), (-2,0), and (-6,8) is:

y = (1/9) x^2 + (10/9) x + (176/9)

This is the standard form of the quadratic function.

Answer:

14 cm

Step-by-step explanation:

from the right triangle we know that:

- A leg is 8 cm

- B leg is 11 cm

- angle between A and B leg is 90'

If we have one angle which is 90' we can use the following formula:

\(c = \sqrt{a^{2} + {b^{2} }\)

\(c = \sqrt{8^{2} + {11^{2} }\)

\(c = 13.60147\)

The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

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Answer:

Barrack Obama?

Step-by-step explanation:

Former president Obama's full name is Barack Hussein Obama II

Answer:

barack

Step-by-step explanation: