Discuss what it means to use the normal distribution as an approximation for the binomial or poisson distribution. Why does it work? what are the strengths or weaknesses of doing so?.

Answer:

its called um srry dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

a−6

−

3

a+6

−

a2

36−a2

=

−2a4−3a3+54a2+108a+648

−a4+72a2−1296

=

(−a−6)(a−6)(2a2+3a+18)

(−a−6)(a−6)(a+6)(a−6)

=

2a2+3a+18

a2−36

The complete table for the function g(x) =  1/(x + 4) is

X       g(x)

-8     -1/4

-6     -1/2

-4     Not defined

-2     1/2

0      1/4

2      1/6

4      1/8

6     1/10

8      1/12

The table is completed by substituting each value of x to g(x) and solving for g(x)

X      g(x) = 1/(x + 4)

-8     1/(-8 + 4) = -1/4

-6     1/(-6 + 4) = -1/2

-4   Not defined (division by zero)

-2    1/(-2 + 4) = 1/2

0      1/(0 + 4) = 1/4

2       1/(2 + 4) = 1/6

4      1/(4 + 4) = 1/8

6      1/(6 + 4) = 1/10

8      1/(8 + 4) = 1/12

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Answer: 1,953

Step-by-step explanation:

23,440 divided by 12

Answer:

35

Step-by-step explanation:

1.8 * 15 = 27 total earning

27-20 = 7 profit

$ 7 profit  / $20 cost  = 0.35

0.35*100 = 35%

To find the composition of relations r ◦ s, we need to determine the set of ordered pairs that satisfy the composition.

The composition r ◦ s is defined as follows:

r ◦ s = {(x, z) | there exists y such that (x, y) ∈ s and (y, z) ∈ r}

Let's calculate the composition:

For each pair (x, y) ∈ s, we check if there exists a pair (y, z) ∈ r that satisfies the condition. If so, we include (x, z) in the composition.

For (a, c) ∈ s:

There is no pair (y, z) ∈ r where (c, y) and (y, z) hold simultaneously. Therefore, (a, c) does not contribute to the composition.

For (b, d) ∈ s:

There is no pair (y, z) ∈ r where (d, y) and (y, z) hold simultaneously. Therefore, (b, d) does not contribute to the composition.

For (d, a) ∈ s:

There exists a pair (y, z) = (a, b) in r, where (a, y) and (y, z) hold simultaneously. Therefore, (d, b) contributes to the composition: (d, b).

Hence, the composition r ◦ s is {(d, b)}.

Therefore, the composition of relations r ◦ s is {(d, b)}.

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Based on the distance that Pacman traveled for every 6 seconds, and the distance being proportional to time, the Constant of Proportionality is 3.

The Constant of Proportionality shows how the quantity of a variable increases of decreases as the quantity of another related variable increases or decreases as well.

In the distance traveled by Pacman, the constant of proportionality can be found by the formula:

= Distance traveled / Time traveled

= 18 feet / 6 seconds

= 3 feet per second

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Answer:

w^2z^4/y^2

Step-by-step explanation:

The defining characteristic of a representative sample is that it is selected in such a way as to assure that it accurately represents the larger population from which it is drawn.

In other words, a representative sample should possess similar characteristics, proportions, and attributes as the population it is intended to represent.

To achieve representativeness, the sample selection process should be carefully designed to minimize biases and ensure that every member of the population has an equal chance of being included in the sample. This typically involves using random sampling techniques, such as simple random sampling or stratified sampling, to eliminate any systematic patterns or favoritism in the selection process.

By obtaining a representative sample, researchers can make valid inferences and generalizations about the population based on the characteristics and findings observed in the sample. It allows them to draw conclusions that can be applied to the larger population with a certain degree of confidence.

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Answer:

-11/64

Step-by-step explanation:

In my opinion, decimals are easier to work with than fractions, so lets covert the fractions first.

1 5/8 = 1.625

-1 3/5 = -1.6

Now we can re-write the equation: 1.625÷(-1.6)

We can use a calculator to do this, since the math isn't easy.

1.625÷(-1.6)=-1.015625

Fraction form: -1 1/64

I'm not the best at this, please tell me if I'm wrong and I'll take it down :)

Good luck!!

The distance between the 2 points A(-1, 5) and B(4, 1) is √41.

So, the diatence between A(-1, 5) and B(4, 1):

Now, calculate as follows:

Therefore, the distance between the 2 points A(-1, 5) and B(4, 1) is √41.

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In   linear equation, 2 hours and 45 minutes, the temperature of the pork roast is 165 ° F.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

The temperature of the pork roast is greater at 3 hours than at 2 hours and 45 minutes.

After 2 hours and 45 minutes, the temperature of the pork roast is 165 ° F.

    f(a) = 67  the temperature of the pork roast is 67° F. When it is placed in the over .

     f( 2.45 ) = the temperature  of pork roast is 65° F when its done cooking.

 f( 2.45 ) = the temperature  of pork roast decrease between 2 hours and                        

                          45 min and 3 hours .

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Steps to find MAD:

Step 1. Calculate mean(\(\overline{x}\)) of the data using formula: \(\overline{x}=\dfrac{\sum x}{n}\) ,  where x denotes data points and n is the number of data points.

Step 2. Calculate distance of each data point from mean :

Distance = \(|x-\overline{x}|\)

Step 3. Divide  distance of each data point from mean by n:

MAD = \(\dfrac{\sum |x-\overline{x}|}{n}\) , which is the final computation to find MAD.

The statement that describes the graph of the proportional relationship is:

"A line passes through the point (0, 0) and continues through the point (15, 5)."

We have a proportional relationship defined by the following table:

x: 15, 8, 21

y: 5, 3, 7

Remember that a general proportional relationship is given by the formula:

y = k*x

Where k is the constant of proportionality.

If we take x = 0, we always get:

y = k*0

y = 0

So the line always passes through the point (0, 0).

And by using the information on the table, we also know that the line passes through (15, 5), (9,3) and (21, 7).

Then the correct option is:

"A line passes through the point (0, 0) and continues through the point (15, 5)."

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Answer:

c

Step-by-step explanation:

Using the sine ratio in the right triangle

sin q = \(\frac{opposite}{hypotenuse}\) = \(\frac{13}{15}\) , thus

∠ q = \(sin^{-1}\) (\(\frac{13}{15}\) ) = 60° → c

Let x be the amount of the 30% alcohol and let y be the amount of 5% alcohol.

We want the total amount to by 25 gal, then we have:

We also want the resulting mix to be 25% alcohol, this is 0.25 in decimal form; also we know that the first type of alcohol is 30% and the second is 5%, then we have:

Hence we have the system of equations:

To solve the system we solve the first equation for y:

then we plug this value of y in the second equation:

Once we have the value of x we plug it in the expression we found for y:

Therefore, the mixture will have 20 gallons of 30% alcohol and 5 gallons of 5% alcohol.

Answer:

Step-by-step explanation: 37 times 1000 equals 37000 if you times anything by 1000 just add 2 zeros to the end

Therefore , the solution of the given problem of unitary method comes out to be the two values are 12 and -17 .

This common convenience, already-existing variables, or all important elements from the original Diocesan malleable study that followed a particular methodology can all be used to achieve the goal. Both crucial elements will surely be missed if the phrase confirmation outcome does not occur, but if it does, it will be possible to contact the entity again.

Here,

We can commence by listing the factor pairs of 204 in order to find two numbers that have a product of -204 and a sum of 28:

=> 1 x 204 = 204

=> 2 x 102 = 204

=> 3 x 68 = 204

=> 4 x 51 = 204

=> 6 x 34 = 204

=> 12 x 17 = 204

Since the result is negative, we know that the signs of the two integers are the exact opposite. We also know that the bigger number must be positive and the smaller number must be negative because the sum is positive.

Therefore, 12 and -17 are the only factor couple that satisfy these requirements.

=> 12 x -17 = -204

=> 12 + (-17) = 28

The two values are 12 and -17 as a result.

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To find the general solution of the given system of equations, we can start by finding the eigenvalues and eigenvectors of the coefficient matrix.

The characteristic equation is:

|λ -1    |  |5 -1 |

|     | = |     |

|-1 λ+3|  |-5 3|

Expanding the determinant, we get:

(λ-1)(λ+3) + 5 = 0

Simplifying, we get:

λ^2 + 2λ + 8 = 0

Using the quadratic formula, we get the eigenvalues:

λ1 = -1 + √7i

λ2 = -1 - √7i

Since the coefficients are all real, the eigenvectors must come in complex conjugate pairs. Let's find the eigenvector corresponding to λ1:

( 1-λ1)   (5 -1) (x1)       (-2-√7i) (x1)      a

(-1     3-λ1) ( -5 3) (x2)  =  (   1  ) (x2) =  -------

b               b

where a and b are constants. Solving for x1 and x2, we get:

x1 = (-2-√7i)x2

x2 = 1

Therefore, the eigenvector corresponding to λ1 is:

v1 = (-2-√7i, 1)

Similarly, we can find the eigenvector corresponding to λ2:

v2 = (-2+√7i, 1)

The general solution of the system is then given by:

x(t) = c1 e^(λ1t) v1 + c2 e^(λ2t) v2

where c1 and c2 are constants determined by the initial conditions.

As t goes to infinity, we can see that the terms involving e^(λ1t) and e^(λ2t) will grow or decay depending on the sign of the real part of the eigenvalues. Since the real parts of both eigenvalues are negative (λ1 = -1+√7i has a negative real part of -1 and λ2 = -1-√7i has a negative real part of -1), both terms will decay as t goes to infinity. Therefore, the solutions of the system will approach zero as t goes to infinity.

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The sample size for estimating the proportion is 2637.

Given,

How many people should be included in the sample if we want to have 96% confidence that our sample proportion will be within 0.02 of the true fraction of the voting population given the data?

E = 0.02

c = 96% = 0.96

\(\hat p\) or P = 0.5 (We have no idea about P, in this case, take P = 0.5)

\(\hat p\)  = 1 - \(\hat p\)  = 0.5

Now,

α = 1 - c = 1 - 0.96 = 0.04

α/2 = 0.04/2 = 0.02

⇒ α/2 = 2.054 (using z table)

The sample size for estimating the proportion is given by,

\(n = Z^2_\alpha _/_2P(1-P)/E^2\)

   = (2.054/0.02)2 * 0.5 * 0.5

   = 2636.8

   = 2637

Hence, the size of sample is 2637.

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The option that indicates the limit notation showing the horizontal asymptote of the graph is the option B :  \(\lim_{x \to \infty} f(n)\)

What is an asymptote?

An asymptote is a line which as the input or output variables of a graph approaches infinity, it approaches the curve of the graph. The asymptote and the curve of the graph do not meet within a finite distance.

The horizontal asymptote is the line with equation y = b. The graph of the function approaches the horizontal asymptote as the x-value increases to +∞ or -∞

The value to which the function of the graph approaches as the value of x approaches +∞ or -∞ is the line y = 0, the function that indicates the horizontal asymptote is

Therefore, The correct option is option B :  \(\lim_{x \to \infty} f(n)\)

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The probabilities for the hypergeometric distribution with the given parameters are:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

To determine the probabilities for the hypergeometric distribution with the given parameters, we can use the following formula:

P(X = k) = (choose(K, k) * choose(N-K, n-k)) / choose(N, n)

where "choose(a, b)" represents the binomial coefficient, calculated as a! / (b! * (a - b)!)

Let's calculate the probabilities:

a. P(X = 1):

P(X = 1) = (choose(20, 1) * choose(100-20, 4-1)) / choose(100, 4)

        = (20 * 80) / 3921225

        ≈ 0.000407

b. P(X = 6):

P(X = 6) = (choose(20, 6) * choose(100-20, 4-6)) / choose(100, 4)

        = (38760 * 0) / 3921225

        = 0

c. P(X = 4):

P(X = 4) = (choose(20, 4) * choose(100-20, 4-4)) / choose(100, 4)

        = (4845 * 80) / 3921225

        ≈ 0.098117

d. P(X = 0):

P(X = 0) = (choose(20, 0) * choose(100-20, 4-0)) / choose(100, 4)

        = (1 * 77) / 3921225

        ≈ 1.97e-05

Therefore:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

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The complete question is:

Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d. P(X = 0).

Answer:

531441

Step-by-step explanation:

Answer= The answer is 34=8194=6561

Answer:

100 centimeters

Step-by-step explanation:

Answer:

100 cm

Step-by-step explanation:

1 km = 1000 m

1 m = 100 cm

Answer: 100 cm

Answer:

uhm 22 - 2 = 20?

Step-by-step explanation:

Im confused what you're trying to say.

Answer:

135

Step-by-step explanation:

Depending on where you start, the protractor can read in different ways. Since the measure of this angle started from the left, you read the numbers at the top. If the measure would have started from the right, you read the numbers below.

A good rule of thumb is that if the angle appears to be greater than 90 degrees, or an obtuse angle, you would choose the only answer choice that is above 90 degrees.

Hope this helps!

Answer:

False because of the way your trionomial is setup

given 2 variables and you only have one

Step-by-step explanation:

Based on the provided multiple-choice options and the beginning cash amount of $17,300, none of the options align with a logical estimation of the cash at the end of the period.

We can analyze the multiple-choice options provided and make an educated guess based on the given information.

Option: $35,600

Assuming that there were no cash inflows or outflows during the period, this option suggests a significant increase in cash from the beginning. However, without any additional information, such a large increase cannot be justified.

Option: $43,300

Similar to the previous option, this suggests a substantial increase in cash. Without any supporting data or context, it is difficult to determine if such an increase is plausible.

Option: $27,900

This option implies a decrease in cash from the beginning. Again, without any information about cash outflows, it is uncertain if this decrease is accurate.

Option: $6,700

This option suggests a significant decrease in cash from the beginning. However, without any details about cash outflows or context, it is difficult to determine if this decrease is realistic.

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