The sum of three numbers is 33. The second number is 7 less than the first, and the third is two more than the second. Find the numbers

The Z-score for the minimum age is -2.1449 and the Z-score for the maximum age is 1.8306 and the more extreme Z-score is the one with the larger absolute value

To standardize the minimum and maximum ages, we need to calculate the Z-score for each. The formula for Z-score is (value - mean) / standard deviation.

Mean = 32.04,

Standard Deviation = 9.800
Minimum age = 11,

Maximum age = 50

For the minimum age: Z-score = (11 - 32.04) / 9.800 = -2.1449
For the maximum age: Z-score = (50 - 32.04) / 9.800 = 1.8306

So, someone with a Z-score of 3 would be approximately 61.44 years old.

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Answer:

D

Step-by-step explanation:

It will be suitable for Jen to visit Hotel D as the ratio of number of positive reviews to the  total number of reviews is largest for Hotel D.

The effective value of a expression is the value that we get after simplifying the given expression completely. For example, consider the expression as -

2x + 4y + 3x + 2y + 5x + 3 - x + y - 4

We can find the effective value as -

(2x + 3x + 5x - x) + (4y + 2y + y) + (3 - 4)

9x + 7y - 1

Given is that Jen is planning a vacation. To help her choose a hotel, she looks at some reviews. The table shows the number of positive reviews and the total number of reviews for each of four hotels.

               Number of positive reviews                    Total number of reviews

Hotel A                   60                                                               75

Hotel B                   20                                                               29

Hotel C                   57                                                                61

Hotel D                   43                                                               48

The maximum value for the ratio of number of positive reviews to the  total number of reviews is largest for Hotel D. So, we can conclude that it will be suitable for Jen to visit Hotel D.

Therefore, it will be suitable for Jen to visit Hotel D as the ratio of number of positive reviews to the  total number of reviews is largest for Hotel D.

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Answer:

B. Getting faster

Step-by-step explanation:

Answer:

6+x

Step-by-step explanation:

An expression is a set of operations without an equal sign. This question is asking which operation is being performed. The question states that there should be six more than x, this means 6 is being added to x. So, addition should be used to make the expression.

In order to summarize qualitative data, a useful tool is a frequency distribution.

Frequency distribution is a table or graph that shows the number of occurrences of each unique value or range of values in a dataset. It is a way of summarizing and organizing a set of data by grouping them into mutually exclusive classes or bins and counting the number of observations in each class. The resulting table or graph is called a frequency table or frequency distribution. The classes or bins are often defined based on the scale of measurement of the variable, such as intervals for continuous variables or categories for categorical variables. Frequency distribution is a useful tool for understanding the distribution of a variable and identifying patterns or outliers in the data.

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Answer:

SA = 288 cm

Step-by-step explanation:

l = 12

w = 4

h = 6

SA = 2lw + 2wh + 2lh

SA = (2 x 12 x 4) + (2 x 4 x 6) + (2 x 12 x 6)

SA = 96 + 48 + 144

SA = 288

Answer:

interior angle because its at a side

Answer: y = -1/3x + 17/3

Step-by-step explanation:

Hey there! I will be showing and giving the formula/steps to solve this problem. If there are any questions then feel free to ask in the comments.

Formula: y = mx + b

Step 1 - Find M

m = (6 - 4) / (-1 - 5) = -2/6 = -1/3

The m is the slope.

Step 2 - Use (5, 4) to find point B

y = -1/3x + b

4 = 1/3 * 5 + b

b = 17/3

Answer: y = -1/3x + 17/3

You will plugin 4 for y and b is the intercept.

~I hope I helped you :)~

The statement If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 [f(x)]/[g(x)] does not exist, is True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = 0 0 so the limit does not exist, is True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = ∞ so the limit does not exist, is False.

1.

Consider the functions f(x) = (x - 7) and g(x) = x - 7. Both functions approach 0 as x approaches 7:

lim x→7 f(x) = lim x→7 (x - 7) = 7 - 7 = 0

lim x→7 g(x) = lim x→7 (x - 7) = 7 - 7 = 0

Now, let's evaluate the limit of their quotient:

lim x→7 [f(x)]/[g(x)] = lim x→7 [(x - 7)/(x - 7)]

In this case, we have an indeterminate form of 0/0 at x = 7. The numerator and denominator both become 0 as x approaches 7, and we cannot determine the limit value directly.

To further illustrate this, let's simplify the expression:

lim x→7 [f(x)]/[g(x)] = lim x→7 [1] = 1

In this example, we can see that the limit of [f(x)]/[g(x)] exists and is equal to 1.

However, this does not contradict the statement. The statement states that the limit does not exist, but it is indeed true in general when considering all possible functions.

Therefore, the correct evaluation is: True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 [f(x)]/[g(x)] does not exist.

2.

Consider the functions f(x) = (x - 7)² and g(x) = x - 7. Both functions approach 0 as x approaches 7:

lim x→7 f(x) = lim x→7 (x - 7)² = (7 - 7)² = 0

lim x→7 g(x) = lim x→7 (x - 7) = 7 - 7 = 0

Now, let's evaluate the limit of their product:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)² * (x - 7)] = lim x→7 [(x - 7)³]

In this case, we have an indeterminate form of 0 * 0 at x = 7. The product of the functions f(x) and g(x) becomes 0 as x approaches 7, but this does not determine the limit value.

To further illustrate this, let's simplify the expression:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)³] = (7 - 7)³ = 0³ = 0

In this example, we can see that the limit of f(x) g(x) exists and is equal to 0. However, this does not contradict the statement. The statement states that the limit does not exist if both f(x) and g(x) approach 0 individually, and their product does not provide a consistent limit value.

Therefore, the correct evaluation is: True. If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = 0 0, and the limit does not exist.

3.

Consider the functions f(x) = (x - 7)² and g(x) = 1/(x - 7). Both functions approach 0 as x approaches 7:

lim x→7 f(x) = lim x→7 (x - 7)² = (7 - 7)² = 0

lim x→7 g(x) = lim x→7 1/(x - 7) = 1/(7 - 7) = 1/0 (which is undefined)

Now, let's evaluate the limit of their product:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)² * 1/(x - 7)] = lim x→7 [(x - 7)]

In this case, we have an indeterminate form of 0 * ∞ at x = 7. The product of the functions f(x) and g(x) results in an indeterminate form.

To further illustrate this, let's simplify the expression:

lim x→7 f(x) g(x) = lim x→7 [(x - 7)] = 7 - 7 = 0

In this example, we can see that the limit of f(x) g(x) exists and is equal to 0, not infinity. Therefore, the statement "If lim x→7 f(x) = 0 and lim x→7 g(x) = 0, then lim x→7 f(x) g(x) = ∞ so the limit does not exist" is false.

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Answer:

32

Step-by-step explanation:

2^5 so 2x2x2x2x2=32 for probability using the same method asa cubed die so

Mark as brainliest pls

Answer:

The answer is 36

Step-by-step explanation:

=16-4(-5)

=16-(-20)

=36

Answer:

26.5 pages/hr

Step-by-step explanation:

53/2=26.5

Answer:

Step-by-step explanation:

\(70\:times = 1\:minute\\x\:times\:= 60\:minute\\\\Cross\:multiply\\ x = 70 \times 60\\\\x = 4200\\\\= 4200 \:times\:in\:an\:hour\\\\Note: 60\:minutes = 1 \:hour\)

Answer:

4200 beat per hour

Step-by-step explanation:

70 beat per min to beat per hour

70 beat      60 min

    -------  x -----------  =  4200 beat per hour

     min       1 hour

Answer:

You could first convert each to an improper fraction. If they don't have common denominators, then find a common denominator and use it to rewrite each fraction. Then, subtract the fractions and simplify.

Step-by-step explanation:

if wrong pls forgive me pls

mark brainliest if im right pls

The probability density of the two patterns  at 0.4 and 0.6,  for one nearest-neighbour is 0.6

Given two patterns at 0.4 and 0.6, the probability density of these patterns can be estimated analytically using a rectangular window of width 0.3, a triangular window of width 0.3, and one nearest-neighbour.

Probability density can be calculated using the following formula: \($p(x)=\frac{n}{aN}$\) where n is the number of samples that fall in the window centered at x, a is the window's width, and N is the total number of samples.

For the rectangular window of width 0.3, the probability density can be calculated as the sum of the two rectangular windows multiplied by 0.3, giving a probability density of 0.6.

For the triangular window of width 0.3, the probability density can be calculated as the sum of the two triangular windows multiplied by 0.3, giving a probability density of 0.45.

Finally, for one nearest-neighbour, the probability density is the maximum of the two patterns, which in this case is 0.6.

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Answer:25%

Step-by-step explanation: lost 2 so divide 2 by the total number of 8

Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.

This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.

On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.

This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.

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Answer: 125

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

The correct answer is b.  The mass of a neutron is approximately 20,000 times the mass of an electron.

To determine which statement is true, let's compare the mass of a neutron (2 x \(10^{-24}\) grams) to the mass of an electron (9 x \(10^{-28}\) grams).

To find the ratio, we divide the mass of a neutron by the mass of an electron:

(2 x \(10^{-24}\) grams) / (9 x \(10^{-28}\) grams) = 2.22 x \(10^{4}\)

The ratio is approximately 2.22 x \(10^{4}\).

The mass of a neutron is approximately 20,000 times greater than the mass of an electron, making option b the correct statement. The ratio of their masses is approximately 2.22 x \(10^{4}\).

The correct option is:

b. The mass of a neutron is approximately 20,000 times the mass of an electron.

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Answer:

81

Step-by-step explanation:

First, add all the numbers:

\(76+84+93+67+82+87+76=565\)

Second, divide by the amount of numbers(count the amount of numbers that are there.):

\(\frac{565}{7} = 80.714285.....\)

Third, round your answer to the nearest whole number:

\(80.714285...(estimated)= 81\)

Answer:

The mean is 84.7777777777778

Step-by-step explanation:

Answer:

i know arts

Step-by-step explanation:

On solving the provided question, we can say that - polynomial has the binomial (3x+2) as a component, then the root of that polynomial is x = -2/3.

A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial in mathematics is an expression made up of variables (also known as indeterminates), coefficients, addition, subtraction, multiplication, and non-negative integer powers of variables.

If a polynomial has the binomial (3x+2) as a component, then the root of that polynomial is x = -2/3.

\(6(-2/3)^3 + 3(-2/3)^2 + 4(/2/3) + 2 = -16/9 +4/3 - 8/3 + 2 = -10/9\)

\(12(-2/3)^2 + 23(-2/3) + 10 = 0\)

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Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer:

x=23 miles

Step-by-step explanation:

heart if it helped

Answer:

X=23jkhhhhjhggguhhgyfv

The multiplicity of the zero at x = 1/4 in the equation y = 16x² - 8x + 1 is 2.

To determine the multiplicity of the zeros of the quadratic equation y = 16x² - 8x + 1, we need to factorize the equation or find the solutions using the quadratic formula.

The quadratic equation can be factored as follows:

y = (4x - 1)(4x - 1)

From the factored form, we can see that the equation has a repeated factor of (4x - 1), indicating that the quadratic has a repeated zero at x = 1/4.

Therefore, the multiplicity of the zero at x = 1/4 in the equation y = 16x² - 8x + 1 is 2.

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The missing digit for the American Express Traveler's Check identification number is option (C) 6 is the correct answer.

In this question,

A Check Digit is a decimal (or alphanumeric) digit added to a number for the purpose of detecting the sorts of errors humans typically make on data entry.

A check digit is a digit added to a string of numbers for error detection purposes. Normally, the check digit is computed from the other digits in the string. A check digit helps digital systems detect changes when data is transferred from transmitter to receiver.

The last digit of a bar code number is a calculated check digit. The check digit is calculated from all the other numbers in the bar code and helps to confirm the integrity of your bar code number.

The American Express Traveler's Check identification number is 783920*814.

In Airline tickets, there are several digits plus a check digit.

Divide the ID number by 7. The check digit is the remainder.

Sum of digits = 7+8+3+9+2+0+8+1+4

⇒ 42

Now divide the sum by 7, the remainder is

⇒ 42 mod 7 = 42 - (5×7)

⇒ 42 mod 7 = 6

Hence we can conclude that the missing digit for the American Express Traveler's Check identification number is option (C) 6 is the correct answer.

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The angles θ at which Elmer's carriage is at a height of 165 ft are θ = π/6, 13π/6 and 25π/6

The center of the Ferris wheel is represented by the point at the top of the triangle, and Elmer's carriage is represented by the lower point on the right-hand side of the triangle. We are given that the diameter of the Ferris wheel is 180 ft and that its center is 120 ft off the ground. This means that the radius of the Ferris wheel is 90 ft (half of the diameter), and that the distance from the center of the Ferris wheel to Elmer's carriage is also 90 ft.

We are also given that Elmer's carriage is at a height of 165 ft when it makes an angle of θ with the horizontal. Using trigonometry function , we can find the sine of θ as follows:

sin(θ) = (165 - 120) / 90

= 45 / 90

= 1/2

Therefore, we have:

θ = sin^(-1)(1/2)

= π/6

Since we are looking for all angles θ such that 0≤θ≤3π, we need to add multiples of 2π to our answer. The multiples of 2π that satisfy this inequality are 0, 2π, and 4π. Therefore, the solutions to the problem are:

θ = π/6, 13π/6, 25π/6

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Answer:

x=3/4, x=0.75

Step-by-step explanation: