Which formula is correct formatting for a nested function? =and(b2>3000,c2>2000,"bonus","no bonus") =if(and(b2>3000,c2>2000),"bonus","no bonus") =ifand(b2>3000,c2>2000,"bonus","no bonus") =if(=and(b2>3000,c2>2000),"bonus","no bonus")

The z-score with probability 0.225 to the right is 0.15 and the z-score with probability 0.900 to the left is -1.28. This can be calculated using the Z-score table for a standard normal distribution.

(a) Probability 0.225 to the right is equal to z-score 0.15.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the right of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of 0.15 is 0.225, which is the probability to the right.

(b) Probability 0.900 to the left is equal to z-score -1.28.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the left of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of -1.28 is 0.900, which is the probability to the left.

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It is true, as The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.

Correlations describe the connections between different variables. Strong, weak, positive, or negative expressions are all possible. 1 = Causation need not always follow from correlation. A statistical measure of the linear relationship between two variables is called correlation (that is, do they change at a constant rate). Without defining cause and effect, this is a common method for illustrating straightforward connections. To illustrate the connection between two quantitative variables, statistical language employs correlation. Additionally, we consider that this connection is linear. In other words, when one variable changes by a given amount, the other variable also changes by a fixed amount, but only by one unit.

The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.

So, it is true.

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Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

Marty's taxable income of $510,000 falls within the last tax bracket, his marginal tax rate would be 37%.

To determine Marty's marginal tax rate, we need to refer to the tax brackets for the given year. However, as my knowledge is based on information up until September 2021, I can provide you with the tax brackets for that year. Please note that tax laws may change, so it is always best to consult the current tax regulations or a tax professional for accurate information.

For the 2021 tax year, the marginal tax rates for individuals are as follows:

10% on taxable income up to $9,950

12% on taxable income between $9,951 and $40,525

22% on taxable income between $40,526 and $86,375

24% on taxable income between $86,376 and $164,925

32% on taxable income between $164,926 and $209,425

35% on taxable income between $209,426 and $523,600

37% on taxable income over $523,600

Since Marty's taxable income of $510,000 falls within the last tax bracket, his marginal tax rate would be 37%. However, please note that tax rates can vary based on changes in tax laws and regulations, so it's essential to consult the current tax laws or a tax professional for the most accurate information.

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The probability that the entire batch of 6500 write-rewrite CDs will be accepted, given that 170 are defective and 6 are randomly selected for testing, is approximately 0.859 or 85.9%.

To find the probability that the entire batch of 6500 write-rewrite CDs will be accepted using acceptance sampling, we need to consider the number of defective CDs in the batch and the number of CDs selected for testing.

Given that the batch consists of 6500 CDs and 170 of them are defective, we know that the remaining 6500 - 170 = 6330 CDs are non-defective.

Now, if we randomly select 6 CDs for testing, we want to determine the probability that all 6 CDs are non-defective. To calculate this probability, we need to use the hypergeometric distribution.

The hypergeometric distribution calculates the probability of obtaining a specific number of successes (in this case, non-defective CDs) from a finite population (the entire batch) without replacement.

Using the hypergeometric distribution formula, the probability of selecting 6 non-defective CDs can be calculated as follows:

P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6)

where C(n, r) represents the number of combinations of selecting r items from a set of n items.

Evaluating this expression, we find:

P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6) ≈ 0.859

Therefore, the probability that the entire batch of CDs will be accepted is approximately 0.859, or 85.9%.

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The solution to the differential equation for the function 2y''+33y=0  is y(t) = 6cos((3√22)t/2) + (6/√22)sin((3√22)t/2)

The characteristic equation of the differential equation 2y''+33y=0 is:

r² + (33/2) = 0

Solving for r: r = ±√(-33/2) = ±(3√22)i/2

The general solution to the differential equation is:

y(t) = c₁cos((3√22)t/2) + c₂sin((3√22)t/2)

To solve for c₁ and c₂, we use the initial conditions:

y(0) = 6, y'(0) = 9

y(0) = c₁cos(0) + c₂sin(0) = c₁

c₁ = 6

y'(t) = (-3√22/2)c₁sin((3√22)t/2) + (3√22/2)c₂cos((3√22)t/2)

y'(0) = (3√22/2)c₂ = 9

c₂ = 6/√22

Therefore, the solution to the differential equation is:

y(t) = 6cos((3√22)t/2) + (6/√22)sin((3√22)t/2)

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We want to find the probability that exactly two orangutans will survive, so k = 2.

P(X = 2) = \((n~choose~2) * 0.20^2 * (1 - 0.20)^(^n^-^2^)\)

To calculate the probability that exactly two orangutans will survive, we need to use the binomial probability formula.

The formula for the probability of exactly k successes in n independent Bernoulli trials is:

P(X = k) = \((n choose k) * p^k * (1 - p)^(n - k)\)

Where:

P(X = k) is the probability of getting exactly k successes.

(n choose k) represents the number of ways to choose k successes from n trials and is calculated as \(\frac{n!}{k!(n-k)!}\)

p is the probability of success on a single trial.

(1 - p) is the probability of failure on a single trial.

n is the total number of trials.

In this case, let's assume there are a total of n orangutans at the zoo, and the probability of an orangutan surviving is 0.20 (since the probability of dying is 0.80).

We want to find the probability that exactly two orangutans will survive, so k = 2.

P(X = 2) = \((n~choose~2) * 0.20^2 * (1 - 0.20)^(^n^-^2^)\)

However, since you haven't provided the total number of orangutans (n), it is not possible to calculate the exact probability. Please provide the total number of orangutans so that we can proceed with the calculation.

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Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE

As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.

So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.

Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.

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The complete question is given below:

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:

"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."

Step-by-step explanation:

the slope of a line is the ratio "y coordinate change / x coordinate change" when going from one point to another.

so, when we are going from e.g. (0, 1) to (1, 3)

x changes by +1 (from 0 to 1)

y changes by +2 (from 1 to 3)

and the slope is then +2/+1 = 2

and although I cannot see that result in the answer options, 2 is the right answer. I hope it is just under the given screenshot.

The area under the standard normal curve between (a) z = -0.24 and z = 0.24 is 0.1886, (b) z = -1.47 and z = 0 is 0.4292, and (c) z = 0.13 and z = 0.62 is 0.1800.

To determine the area under the standard normal curve between two z-values, we can use a standard normal distribution table or a statistical software. The standard normal distribution is a continuous probability distribution with a mean of 0 and a standard deviation of 1. The area under the curve represents the probability of a random variable falling within a certain range.

Steps to calculate the area under the standard normal curve:

(a) Area between z = -0.24 and z = 0.24:

To calculate the area between these two z-values, we need to find the cumulative probability for each z-value and then subtract the smaller cumulative probability from the larger one. The cumulative probability represents the area under the curve to the left of a given z-value.

Using a standard normal distribution table or a statistical software, we find:

P(z < -0.24) = 0.4052

P(z < 0.24) = 0.5938

The area between z = -0.24 and z = 0.24 is:

P(-0.24 < z < 0.24) = P(z < 0.24) - P(z < -0.24) = 0.5938 - 0.4052 = 0.1886

(b) Area between z = -1.47 and z = 0:

Using the same approach, we find:

P(z < -1.47) = 0.0708

P(z < 0) = 0.5

The area between z = -1.47 and z = 0 is:

P(-1.47 < z < 0) = P(z < 0) - P(z < -1.47) = 0.5 - 0.0708 = 0.4292

(c) Area between z = 0.13 and z = 0.62:

Again, using the same approach, we find:

P(z < 0.13) = 0.5524

P(z < 0.62) = 0.7324

The area between z = 0.13 and z = 0.62 is:

P(0.13 < z < 0.62) = P(z < 0.62) - P(z < 0.13) = 0.7324 - 0.5524 = 0.1800

Therefore, the area under the standard normal curve between (a) z = -0.24 and z = 0.24 is 0.1886, (b) z = -1.47 and z = 0 is 0.4292, and (c) z = 0.13 and z = 0.62 is 0.1800.

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The number of pastries baked by Katie is 40, and each pastry is shared by 5 people, making a total of 200 people served.

Let's define two variables to represent the number of pastries and the number of people per pastry:

p = number of pastries

pp = number of people per pastry

Then, the total number of pastries and the total number of people can be expressed as:

total pastries = p = 40

total people = p * pp = 200

We can solve for pp by dividing both sides by p:

pp = total people / p = 200 / 40 = 5

So, the algebraic expression to represent this situation is:

p = 40, pp = 5, total people = p * pp = 200

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Answer:

61.5

Step-by-step explanation:

since abc is 114 you can split that in half to seperate the 2 triangles. You get abd is 57. Since the two other angles are the same because there sides are the same you do 180-57 and divide that answer by 2

Answer:

68%

Step-by-step explanation:

Answer:

17/25

Step-by-step explanation:

Answer:

$1,015

Step-by-step explanation:

Given that:

Weekly earning = $625

Commission = 12% of sales

sales made last week = $3250

Last week earning = weekly earning + commision on sale

Commission on sale = 12% of sales

Commission on sale = (0.12 * 3250) = $390

Last week earning = weekly earning + commision on sale

Last week earning = $625 + $390 = $1,015

Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2  such that f'(c) = 0.

Given:

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.

f(x)=x^2−4x+8, [0,4]

when, x = 0

f(x) = x^2 -4x +8

f(0) = y = 0 - 0 + 8 = 8

when, x=4

f(5) = y = 16 - 16+8 =

thus, we have 2 points (0, 8) ; (4, 8)

slope,m = {8-(8)} / {4-0} = 0

hence, we have to calculate all the points,x where 0<x<8 and slope=0

f '(x) = 2x - 4 = 0

or, f '(c) = 2c - 4 = 0

c = 4/2 =2 ( 0<x<4)

hence, the there is only one solution c=2 which satisfies Rolle's theorem.

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Answer:

Step-by-step explanation:

Year 2004: 62.33

Year 2013: 57.67

2013-2004 = 9

57.67-62.33 =-4.66

-4.66/9 = -0.517777778 which is the average rate of change

Here the the avg. rate of change means that on average, the change in rainfall every year is -0.517777... inches

Answer: 62.33 57.67

Step-by-step explanation:

Answer:4w4 + 6w2z2 - 7z4

Step-by-step explanation:

Answer:

En 2001 el pueblo poseía 45.826 habitantes.

Step-by-step explanation:

Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:

13.578*1,5= 20.367

Por lo que en 1988 el pueblo poseía 20.367 habitantes.

En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:

20.367* 2,25= 45.825,75≅ 45.826

Por lo que en 2001 el pueblo poseía 45.826 habitantes.

The volume of cylinders \(x^2 + y^2 = 4r^2\) and \(y^2 + z^2 = 4r^2\) is 88\(r^3\)/3.

The volume of cylinders can be calculated using integrals from the top curve subtract the bottom curve. For expression above we can convert to find the dimensions of cylinders using Fubini's Theorem. So,

x^2 + y^2 = 4r^2 to x^2 = 4r^2 - y^2

y^2 + z^2 = 4r^2 to z^2 = 4r^2 - y^2

Thus, the volume of the given solid is,

v = \(\int r-r\int\sqrt{4r^2-y^2}-\sqrt{4r^2-y^2}\times 2\sqrt{4r^2-y^2} dx dy\)

= \(2\int r-r(x\sqrt{4r^2-y^2})(\sqrt{4r^2-y^2})-\sqrt{4r^2-y^2}dy\)

= \(2\int r - r[(4r^2-y^2)+(4r^2-y^2)]dy\)

= \(2\int r - r[2(4r^2-y^2)]dy\)

= \(4\int r - r(4r^2-y^2)dy\)

= \(4(4r^2y-y^3/3)r-r\)

= \(4(4r^2(r+r)-(r^3+r^3)/3)\)

= \(4((4r^2)(2r)-2r^3/3)\)

= \(8(4r^3-r^3/3)\)

= \((8)(12r^3-r^3)/3\)

= 88\(r^3\)/3

Thus, the volume of cylinders is (88r^3)/3.

You question is incomplete, but most probably your full question was

find the volume of the given solid. bounded by the cylinders \(x^2 + y^2 = 4r^2\), \(y^2 + z^2 = 4r^2\)

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9/2  I think

I hope that helped!

Answer:

13.125 or 105/8 or 13 1/8

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

2+3

Answer:

x = 5

Step-by-step explanation:

f(x) = -17.1 means that the number you inputted for x gave an output of -17.1.  We see from the table that when x = 5, f(x) = -17.1.  

The solutions for the equation are b = 0, 3.

What is the cubic equation?

A three-degree equation is referred to as a cubic equation. All cubic equations have roots that are either three real roots or one real root and two imaginary roots. Polynomials are referred to as cubic polynomials if they have a degree of three. The opposite of cubing an integer is finding the cube root of that number. It can be determined by first determining how the given integer can be divided into prime factors, and then by using the cube root formula.

To find the solution for the equation 5/3b³ - 2b² - 5, we can factor it or use the quadratic formula.

One way to factor it is to note that it is a cubic equation in terms of b, and can be written as:

5/3b³ - 2b² - 5 = (5/3b³ - 2b²) - 5 = (5/3b³ - 2b²- 5b) + (5b)

= (5/3b)(b² - 3b) + 5

So, b=0 is one solution, but we can also factor the remaining quadratic equation (b² - 3b) = 0,

b=0 and b=3 are the solutions for the equation.

Hence, the solutions for the equation are b = 0, 3.

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Answer:

-30n+42

Step-by-step explanation:

6(−5n+7)

=(6)(−5n+7)

=(6)(−5n)+(6)(7)

=−30n+42

Answer: − 30 n + 42

Step-by-step explanation:

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

Answer:

if u want step by step answers u need to give more points than that

Step-by-step explanation: