let , ,, x x1 2 x64 be a random sample from a poisson distribution with a mean of 4. find an approximate probability that the sample mean x is greater than 3.5.

The given quadratic equation is in vertex form.

option B.

The form of the given quadratic equation is calculated as follows;

The general form of a parabola given as;

y = a(x - h)² + k

Where;

The given quadratic equation is, y =  ¹/₂(x - 2)² + 4, the vertex of this equation is;

a = 1/2

h = 2

k = 4

Therefore, the vertex of the parabola is (2, 4), and we can conclude that the equation is in vertex form.

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\(3\leqslant |x+2|\leqslant 6\implies \begin{cases} 3\leqslant |x+2|\\\\ |x+2|\leqslant 6 \end{cases}\implies \begin{cases} 3 \leqslant \pm (x+2)\\\\ \pm(x+2)\leqslant 6 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(3\leqslant +(x+2)\implies \boxed{3\leqslant x+2}\implies 1\leqslant x \\\\[-0.35em] ~\dotfill\\\\ 3\leqslant -(x+2)\implies \boxed{-3\geqslant x+2}\implies -5\geqslant x \\\\[-0.35em] ~\dotfill\\\\ +(x+2)\leqslant 6\implies \boxed{x+2\leqslant 6}\implies x\leqslant 4 \\\\[-0.35em] ~\dotfill\\\\ -(x+2)\leqslant 6\implies \boxed{x+2\geqslant -6}\implies x\geqslant -8\)

Answer:

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Step-by-step explanation:

Tax Liability = Tax on 10% Bracket + Tax on 12% Bracket + Tax on 22% Bracket + Tax on 24% Bracket

To determine Fred and Ginger's tax liability for 2021, we will use the tax formula and consider the various items of income and expenses provided. Let's go through each category step by step:

Calculate Adjusted Gross Income (AGI):

AGI = (Fred's Salary) + (Ginger's Salary) + (Interest Income on State of Arizona Bonds) + (Interest Income on US Treasury Bonds) + (Qualified Cash Dividends) + (Share of Hollywood Corporation S Corporation Income) + (Short-term Capital Gains) + (15% Long-term Capital Gains) + (Share of RKO Partnership Loss) + (Life Insurance Proceeds)

AGI = $110,000 + $125,000 + $3,000 + $8,000 + $6,000 + $30,000 + $5,000 + $30,000 + (-$10,000) + $150,000

AGI = $547,000

Determine Itemized Deductions:

Itemized Deductions = (Home Mortgage Interest) + (Home Equity Loan Interest) + (Vacation Home Loan Interest) + (Car Loan Interest) + (Home Property Taxes) + (Vacation Home Property Taxes) + (Car Tags) + (Arizona Sales Taxes Paid) + (Medical Insurance Premiums) + (Unreimbursed Medical Bills) + (Charitable Contributions)

Itemized Deductions = $18,000 + $6,000 + $8,400 + $3,000 + $6,000 + $1,800 + $950 + $6,500 + $12,000 + $10,000 + $12,000

Itemized Deductions = $95,650

Calculate Taxable Income:

Taxable Income = AGI - Itemized Deductions

Taxable Income = $547,000 - $95,650

Taxable Income = $451,350

Determine Tax Liability using the Tax Table or Tax Formula:

Based on the provided information, we'll assume Fred and Ginger are filing as Married Filing Jointly for 2021. Using the tax brackets and rates for that filing status, we can calculate their tax liability. Please note that the tax rates and brackets are subject to change, so it's important to refer to the most recent tax regulations.

Tax Liability = (Tax on 10% Bracket) + (Tax on 12% Bracket) + (Tax on 22% Bracket) + (Tax on 24% Bracket)

The taxable income falls into multiple brackets, so we'll calculate the tax liability for each bracket separately:

Tax on 10% Bracket: $0 - $19,900 = $0

Tax on 12% Bracket: $19,901 - $81,050 = ($81,050 - $19,900) * 0.12

Tax on 22% Bracket: $81,051 - $172,750 = ($172,750 - $81,050) * 0.22

Tax on 24% Bracket: $172,751 - $451,350 = ($451,350 - $172,750) * 0.24

Calculate the total tax liability:

Tax Liability = Tax on 10% Bracket + Tax on 12% Bracket + Tax on 22% Bracket + Tax on 24% Bracket

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In the base 2 arithmetic generating scheme for subsets, the subset that immediately precedes another subset can be determined by flipping the rightmost digit of the binary string representation. The pattern follows that each subset with 'n' elements has a binary string with 'n' digits, and the preceding subset can be obtained by flipping the rightmost digit to 0.

(a) The subset that immediately precedes it in the base 2 arithmetic generating scheme is the empty set ({}).

(b) The subset that immediately precedes it in the base 2 arithmetic generating scheme is (a).

(c) The subset that immediately precedes it in the base 2 arithmetic generating scheme is (b).

(d) The subset that immediately precedes it in the base 2 arithmetic generating scheme is (c).

In base 2 arithmetic, subsets can be represented by binary strings, where each digit represents whether an element is included (1) or excluded (0) from the subset. To determine the subset that immediately precedes another subset, we need to understand the pattern of binary strings and their corresponding subsets.

(a) Subset: {}

In base 2 arithmetic, an empty set is represented by an empty binary string, which has no digits. There is no subset that precedes an empty set since it is the initial state.

(b) Subset: {a}

The subset {a} can be represented by a binary string with a single digit 1. In base 2, the binary string immediately preceding it is the binary string with a single digit 0, which represents the empty set {}.

(c) Subset: {a, b}

The subset {a, b} can be represented by a binary string with two digits, 1 and 1. The binary string that immediately precedes it is the binary string with the same number of digits but with the rightmost digit flipped to 0, which represents the subset {a}.

(d) Subset: {a, b, c}

The subset {a, b, c} can be represented by a binary string with three digits, 1, 1, and 1. The binary string that immediately precedes it is the binary string with the same number of digits but with the rightmost digit flipped to 0, which represents the subset {a, b}.

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The option that describes my ability to express solutions to inequalities is A. I can use multiple methods to correctly express solutions to inequalities, and I can teach someone else how to express them.

Inequalities are created through the connection of two expressions. It should be noted that two expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤ 

In this case, a example is illustrated below:

2x + 4 > 8

Collect like terms

2x > 8 - 4

2x > 4

Divide

x > 4/2

x > 2

This illustrates an inequality.

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

65

Step-by-step explanation:

this is an equilateral triangle so the answer is probably 65 sorry if I'm wrong!

For a normal distribution with mean 0 and standard deviation 1 the python line will be 0.627409464153

What is mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. It is known as the "average" and is the most widely used central tendency measure.

What is standard Deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Appropriate function and output are given below

import scipy.stats as st

print(st.norm.cdf(0.325,0,1)

0.627409464153

The python line will be 0.627409464153 for a normal distribution with a mean of 0 and a standard deviation of 1.

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The distance from the base of the ladder to the house is 15 ft.

The length of the ladder is 39 ft.

The ladder is placed to reach a point on the house 36 feet from the ground.

This situation forms a right angle triangle.

The distance from the base of the ladder to the house is as follows:

The distance from the base of the ladder to the house is the other leg of the right angle triangle.

The ladder length is the hypotenuse of the right triangle.

Hence, using Pythagoras theorem,

39² - 36² = b²

b² = 1521 - 1296

b² = 225

b = √225

b = 15 ft

Therefore, the distance is 15 ft.

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Answer:

330°

Step-by-step explanation:

angle subtended=11×360/12=11×30=330°

Answer:

C. 8

Step-by-step explanation:

Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300.

8 is not a factor of 300.

Hope this helps :)

Answer:

y= 2x +3

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 2, m= 2.

Substitute m= 2 into the equation:

y= 2x +c

Given that the y-intercept is (0, 3), c= 3.

Substitute c= 3 into the equation:

y= 2x +3

Thus, the equation of the line is y= 2x +3.

Answer: y=2x-3

Step-by-step explanation:

Answer:

8.12857143

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

When 5:10 is simplified by 5 which would be...

10/5=2 and 5/5=1

Which equals to 1:2

Answer

The equivalent ratios are 1:5 and 2:10.

Explanation

To get from 5 to 10 you multiply by 2.

Do the same thing to the 1.

1 times 2 is 2.

For every one boy there are 5 girls. For every 2 boys, there are 10 girls.

P.S. LOLOLOL you use Big Ideas on an iPad?

We need to utilize the concept of the z-score and the properties of the normal distribution. Given that the distribution is normal and the population variance is known, we can calculate the z-score, proportions, margin of error, and confidence interval.

a. To calculate the z-value for a person who spends 74 euros, we use the formula:    z = (x - μ) / σ    where x is the value, μ is the mean, and σ is the standard deviation.   z = (74 - 80) / √6 ≈ -2.45    The z-value of -2.45 indicates that the person's spending of 74 euros is approximately 2.45 standard deviations below the mean. It suggests that the person's spending is relatively low compared to the average.

b. To calculate the z-value for a person who spends 84 euros, we use the same formula:

  z = (84 - 80) / √6 ≈ 1.63

  The z-value of 1.63 indicates that the person's spending of 84 euros is approximately 1.63 standard deviations above the mean. It suggests that the person's spending is relatively high compared to the average.

c. To find the proportion of people who spend no more than 74 euros, we calculate the cumulative probability using the z-score:

  P(X ≤ 74) = P(Z ≤ -2.45)

  Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.45) ≈ 0.0071

  Therefore, approximately 0.71% of people spend no more than 74 euros for online shopping.

d. To find the proportion of people who spend more than 84 euros, we calculate the complementary probability:

  P(X > 84) = 1 - P(X ≤ 84) = 1 - P(Z ≤ 1.63)

  Using a standard normal distribution table or calculator, we find that P(Z ≤ 1.63) ≈ 0.9474

  Therefore, approximately 5.26% of people spend more than 84 euros for online shopping.

e. To find the proportion of people who spend between 74 and 84 euros, we calculate the difference between cumulative probabilities:

  P(74 < X < 84) = P(X ≤ 84) - P(X ≤ 74)

  P(74 < X < 84) = P(Z ≤ 1.63) - P(Z ≤ -2.45)

  Using a standard normal distribution table or calculator, we find that P(Z ≤ 1.63) ≈ 0.9474 and P(Z ≤ -2.45) ≈ 0.0071

  P(74 < X < 84) ≈ 0.9474 - 0.0071 ≈ 0.9403

  Therefore, approximately 94.03% of people spend between 74 and 84 euros for online shopping.

f. The obtained result in question e means that approximately 94.03% of people fall within the range of 74 to 84 euros for online shopping.

g. To find the margin of error at a 5% significance level, we use the formula:

  Margin of Error = z * (σ / √n)

  Since the sample size is not provided, we assume it to be the same as the number of analyzed people, which is 50.

  Margin of Error = z * (σ / √n) = z * (

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The composition of transformations can be written by combining the two transformations into a single expression. For the given figure that is translated 2 units up and 1 unit left, and then translated again 5 units right and 3 units up, the composition of transformations can be written as follows:(x, y) → (x - 1, y + 2) → (x + 4, y + 5)

Now, we can combine these two transformations to write the composition of transformations as follows:(x, y) → (x + 3, y + 3)Hence, the correct option is:(x, y) → (x + 3, y + 3)

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Answer:

x = - \(\frac{5}{2}\)

Step-by-step explanation:

x + 4 = 3x + 9 ( subtract x from both sides )

4 = 2x + 9 ( subtract 9 from both sides )

- 5 = 2x ( divide both sides by 2 )

- \(\frac{5}{2}\) = x

Answer:

5/2

Step-by-step explanation:

(18/15)*(25/12)=(18*25)/(15*12)=450/180=5/2

Answer:

It want touch/Connect Either way the closest it can get was 99

8, 15, 22, 29, 36, 43, 50, 57, 64, 71, 78, 85, 92, 99.

Answer:

25.7 cm

Step-by-step explanation:

The function t(n) = 0.0000000015n has a domain of non-negative integers and a range of non-negative real numbers. It is both one-to-one and onto. It is a discrete function in terms of the domain and a continuous function in terms of the range.

The domain of the function t(n) = 0.0000000015n is the set of all non-negative integers, as n represents the number of calculations, which cannot be negative. Therefore, the domain is {0, 1, 2, 3, ...} or simply the set of natural numbers.

The range of the function is the set of all non-negative real numbers, as the time required for calculations can never be negative. Therefore, the range is [0, ∞).

The function t(n) = 0.0000000015n is both one-to-one and onto.

It is one-to-one because for every distinct value of n, there is a unique corresponding time value. This means that if two different values of n are given, the time required for the calculations will also be different. In other words, the function exhibits a one-to-one correspondence between the domain and the range.

It is onto because every non-negative real number in the range has a corresponding value of n in the domain. Given any time value, there exists a number of calculations that will yield that time. Therefore, the function covers the entire range.

The function is discrete because the domain consists of only natural numbers, which are discrete values. The number of calculations cannot be fractional or continuous. However, the range is continuous because time can take on any non-negative real value.

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Answer:

5a+4a=9a

3b-7b=-4b

2ab

=9a-4b+2ab or 2ab+9a-4a

Step-by-step explanation:

Calculate liked terms

Answer:

x = 77

Step-by-step explanation:

x and 103 are same- side exterior angles and sum to 180°

x + 103 = 180 ( subtract 77 from both sides )

x = 77

Answer:

600ft^2

Step-by-step explanation:

Because we are rounding the dimensions to the nearest ten this means the length of 29ft because 30ft and the width of 22ft is 20ft

Area = l X w

Area = 30 X 20

Area = 600

Therefore an estimate for the area of the wall is 600ft^2

Answer:

area =length x width

20 is the length and 30 is the width

So, area=20x30

=600ft^2

Answer:

2/3

Step-by-step explanation:

1-1/3 is the same that   3/3 - 1/3

3/3 - 1/3 = 2/3