Math problem: If
each ship has 45
men, and Odysseus
lost 11 out of 12 total
ships, how many
men did Odyessus
lose to the
Laistrygoninans?

If five customers are randomly selected from each group, a sampling method which this would represent is: C) Stratified.

In Mathematics and Statistics, there are different types of sampling methods that are used by researchers and these include the following;

In Mathematics, stratified sampling can be defined as a type of sampling method in which the population is divided into distinct classes and a sample is randomly selected from each class for survey.

In this context, we can logically deduce that stratified sampling was used by this insurance company.

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Complete Question:

An insurance company wants to conduct a customer satisfaction survey. Because the company suspects the type of coverage might influence customers' opinions, it divides the list of customers based on what type of insurance they have (auto, homeowner, rental, life, disability, or a combination of these). If five customers are randomly selected from each group, what sampling method would this represent?

A) Simple Random Sample (SRS)

B) Systematic

C) Stratified

D) Cluster

Step-by-step explanation:

Try Photo-math app or Math-way app.

Since 2 is even, n must also be even in order to satisfy the equation, thus proving that n is even when 9n-2 is even.

The best way to prove that 9n-2 is even if and only if n is even is to use a direct proof for each direction. For the direction where 9n-2 is even, start by assuming that n is even.

Then, 9n-2 can be rewritten as 9(n/2) - 2, which is an even number, thus proving that 9n-2 is even when n is even.

For the direction where n is even, start by assuming that 9n-2 is even.

Then, by rearranging the equation, you can obtain 2 = 9n - 9n/2, which simplifies to n/2 = 2.

Since 2 is even, n must also be even in order to satisfy the equation, thus proving that n is even when 9n-2 is even.

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The value οf x is 3

A variety οf issues are resοlved by algebraic calculatiοns that treat variables like explicit integers in a single cοmputatiοn. The quadratic fοrmula, fοr instance, can be used tο sοlve any quadratic equatiοn by exchanging the variables in the quadratic fοrmula fοr the numerical values οf the cοefficients in the equatiοn.

A variable in mathematical lοgic is either a symbοl fοr an undefined term οf the theοry (a meta-variable), οr it is a fundamental οbject οf the theοry that is changed withοut cοnsidering any pοtential intuitive meaning.

Given

8x+17 = 41

Sοlving fοr variable 'x'

Add '-17' tο each side.

17 + -17 + 8x = 41 + -17

Or, 8x=24

Divide each side by '8'

Or, x=3

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A continuous graph is depicted by the given graph with the plotted points.

When trying to find out if a graph is continuous or discrete what we are basically checking is if all the points are connected. Now, If the line is connected between the start and the end, we will say that the graph is continuous. However, If the points are not connected we will say that the graph is discrete.

Furthermore, a discrete graph is said to be one with different scattered points. This means that they may or may not depict a direction or trend and they don't have data in between the points that are given. Meanwhile, a continuous graph has a line because it means that there is data in between the points that are already given.

Now, from the given graph, we see that the points are not scattered and instead they will follow a straight line and from definitions above, we can say that it is a continuous graph.

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Answer:

Continuous

Step-by-step explanation:

Answer:

b = 107

c = 73

Step-by-step explanation:

107° and angle b are opposite side. Therefore, both angles must have same value.

Therefore, b = 107

107° and angle c are supplementary. That means both angles add up to 180°.

107°+c=180°

c = 180°-107°

c = 73°

Therefore, c = 73

the z-score corresponding to the given value is approximately 1.1. Based on the given criterion, the value of 19.8 seconds is not considered unusual.

The z-score corresponding to the given value of 19.8 seconds can be calculated using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. In this case, the mean time for the 100 meter sprint is 17.5 seconds and the standard deviation is 2.1 seconds.

Substituting the values into the formula, we get: z = (19.8 - 17.5) / 2.1 = 2.2 / 2.1 ≈ 1.05.

Rounding the z-score to the nearest tenth, we have a z-score of approximately 1.1.

According to the given criterion, a score is considered unusual if its z-score is less than -2.00 or greater than 2.00. In this case, the z-score of 1.1 falls within the range of -2.00 to 2.00, so the value of 19.8 seconds is not considered unusual.

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The annual nominal interest rate being charged in this loan is 24.88%. Therefore, the correct option is B.

To calculate the annual nominal interest rate, we can use the formula:

i = (PMT × n - PV) / (PV × n)

Where:
i = nominal annual interest rate
PMT = monthly payment
n = number of years
PV = present value of the loan

Plugging in the given values, we get:

i = ($359 × 4 - $11,000) / ($11,000 × 4)
i = ($1,436 - $11,000) / ($44,000)
i = -$9,564 / $44,000
i = -0.21736363636

To convert this to a percentage, we multiply by 100:

i = -0.21736363636 × 100
i = -21.736363636%

Since the interest rate cannot be negative, we take the absolute value:

i = 21.736363636%

Rounding to two decimal places, we get:

i = 24.88%

Therefore, the nominal annual interest rate being charged in this loan is 24.88%. The correct answer is b. 24.88%.

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Explanation:

The vertex of the parabola is always located on the axis of symmetry. This indicates that the x coordinate of the vertex is x = -2.

Plug x = -2 into the function to find the y coordinate of the vertex.

f(x) = x^2 + 4x - 5

f(-2) = (-2)^2 + 4(-2) - 5

f(-2) = 4 - 8 - 5

f(-2) = -9

The vertex is (-2, -9)

Side note: The equation y = x^2+4x-5 in standard form converts to the vertex form of y = (x+2)^2 - 9

Answer:

y would be -9 i think

so th coordinates would be (-2,-9)

Step-by-step explanation:

just plug in -2 for x and u should get -9

hoped that helped:P

Answer:

It is D (-23, -7, 5, 9, 190)

Step-by-step explanation:

:)

The sample means are Mean(Y) = 61.4 and Mean(X) = 15, the sample variances are Variance(Y) ≈ 1124.89 and Variance(X) ≈ 2.67, the sample standard deviations are Standard deviation(Y) ≈ 33.56 and Standard deviation(X) ≈ 1.63, the sample covariance is Covariance(X, Y) ≈ -131.69, and the sample correlation is Correlation(X, Y) ≈ -0.77.

a. To find the sample means, variances, and standard deviation, we can use the following formulas:

Sample mean of income (Y):

Mean(Y) = (100 + 65 + 47 + 112 + 34 + 85 + 92 + 83 + 67 + 29) / 10 = 614 / 10 = 61.4

Sample mean of education (X):

Mean(X) = (18 + 14 + 14 + 16 + 12 + 16 + 18 + 14 + 16 + 12) / 10 = 150 / 10 = 15

Sample variance of income (Y):

Variance(Y) = [(100 - 61.4)^2 + (65 - 61.4)^2 + (47 - 61.4)^2 + (112 - 61.4)^2 + (34 - 61.4)^2 + (85 - 61.4)^2 + (92 - 61.4)^2 + (83 - 61.4)^2 + (67 - 61.4)^2 + (29 - 61.4)^2] / 9 ≈ 1124.89

Sample variance of education (X):

Variance(X) = [(18 - 15)^2 + (14 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2 + (16 - 15)^2 + (18 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2] / 9 ≈ 2.67

Sample standard deviation of income (Y):

Standard deviation(Y) = √Variance(Y) ≈ √1124.89 ≈ 33.56

Sample standard deviation of education (X):

Standard deviation(X) = √Variance(X) ≈ √2.67 ≈ 1.63

b. To find the sample covariance and correlation, we can use the following formulas:

Sample covariance:

Covariance(X, Y) = [(18 - 15)(100 - 61.4) + (14 - 15)(65 - 61.4) + (14 - 15)(47 - 61.4) + (16 - 15)(112 - 61.4) + (12 - 15)(34 - 61.4) + (16 - 15)(85 - 61.4) + (18 - 15)(92 - 61.4) + (14 - 15)(83 - 61.4) + (16 - 15)(67 - 61.4) + (12 - 15)(29 - 61.4)] / 9 ≈ -131.69

Sample correlation:

Correlation(X, Y) = Covariance(X, Y) / (Standard deviation(X) * Standard deviation(Y)) ≈ -131.69 / (1.63 * 33.56) ≈ -0.77

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Correct question-

Consider the following random sample of income and education: Income(Y) Education(X) 100 18 65 14 47 14 112 16 34 12 85 16 92 18 83 14 67 16 29 12 a. Find sample means, variances and standard deviation. b. Find sample covariance and correlation.

Answer:12 boys

Step-by-step explanation:100-60=40 40% of 30 is 12

Answer: A: y= 3x + 3

Step-by-step explanation:

The y intercept has to be 3 which is found when x = 0 that eliminates B and C. Then just plug in -1 or 1 into A or D and you will find that plugging in either with get you the y value provided on A.

Answer:

the first and second one

Step-by-step explanation:

the two last ones go over budget

1) 20×30=600 30×50=1500 total is 2100

2)50×30=1500 10×50= 500 total is 2000

3) 40×30=1200 40×50=2000 total is 3100>over budget.

4) 20×30=600 60×50=3000 total is 3600> way over budget.

The probability of p(placebo and improvement) is 7.6%.

Here, we have,

Given that

Participants in a study of a new medication received either medication A or a placebo.

We have to find

The probability of P(placebo and improvement).

According to the question

Participants in a study of a new medication received either medication A or a placebo.

Let Probability that participants received medication A = P(M) = 0.80

Probability that participants received placebo = P(P) = 1 - P(M) = 1 - 0.80 = 0.20.

Because there are only two cases either medication A or a placebo.

Let I = event that there is an improvement.

Also, the Probability that participants reported improvement given that they had received medication A = P(I/M) = 0.76

The probability that participants reported no improvement given that they had received placebo = P(I'/P) = 0.62

So, Probability that participants reported improvement given that they had received placebo is,

=  P(I / P) = 1 - P(I' / P) = 1 - 0.62 = 0.38

Now, Probability of (placebo and improvement) = Probability that participants received placebo times Probability that participants reported improvement given that they had received placebo.

P(placebo and improvement) =  P(P)  times  P(I / P)  

P(placebo and improvement) =  0.20 times 0.38  =  0.076  or  7.6%

Therefore, the required probability of p(placebo and improvement) is 7.6%.

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The correct answer is (b) "Because vertex L' is located at (–2, 6) and vertex N' is located at (4, –2), the length of a side is 10 units."

First, we perform a translation 3 units right and 2 units down. This means we add 3 to the x-coordinates and subtract 2 from the y-coordinates of each vertex:

L' = (-1, 3)

R' = (-2, 1)

N' = (2, -1)

Next, we perform a dilation centered at the origin with a scale factor of 2. This means we multiply the coordinates of each vertex by 2:

L" = (-2, 6)

R" = (-4, 2)

N" = (4, -2)

Now, we can use the distance formula to calculate the lengths of the sides of triangle L'N'R':

L'N' = √[(4+2)² + (-2-6)²] = √[100] = 10

Therefore, the correct answer is (b) "Because vertex L' is located at (–2, 6) and vertex N' is located at (4, –2), the length of a side is 10 units."

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According to the ideal gas law, The slope of the line of best fit for a plot of P versus 1/V is algebraically equal to nR/T.

According to the ideal gas law, the slope of a line of best fit for a plot of pressure (P) versus the inverse of volume (1/V) is algebraically equal to the product of the number of moles (n) and the gas constant (R) divided by the temperature (T).
Here's a step-by-step explanation:
Recall the ideal gas law formula: PV = nRT
Rearrange the formula to isolate P: P = (nRT)/V
Express the equation in terms of 1/V: P = nR(T * 1/V)
In this form, we can see that the slope of the line of best fit for a plot of P vs. 1/V is equal to nR/T.
Therefore, the slope of the line of best fit for a plot of P versus 1/V is algebraically equal to nR/T.

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The area of the triangle is 22. 5 square units. Option  A

The formula for calculating the area of a triangle is expressed with the equation;

A = 1/2bh

Given that the parameters are enumerated as;

Now, substitute the values as shown in the diagram, we have;

Area, A = 1/2 × 5. 4 × 9

multiply the values

Area = 45/2

divide the values

Area = 22. 5 square units

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Answer:

She should have multiplied by 4, not divided

Step-by-step explanation:

Given

\(\frac{H}{4}\) - 11 = 13 ( add 11 to both sides ) ← correct

\(\frac{H}{4}\) = 24 ( multiply both sides by 4 to clear the fraction )

H = 4 × 24 = 96

H is divided by 4, thus the inverse operation is to multiply

Answer:

-13.64

Step-by-step explanation:

Answer:14.52 is the variation in water level

Step-by-step explanation:

Answer: 30

180 - x = 180 - 2x + 30

x = 30

Answer:

The measure of the unknown angle is 30°.

Step-by-step explanation:

Let the measure of the unknown angle be x°.

Supplementary angles are two angles whose measures sum to 180°.

Complementary angles are two angles whose measures sum to 90°.

Therefore, the supplement of x° is (180 - x)°, and its complement is (90 - x)°.

Given that the supplement is 30° more than twice its complement:

(180 - x)° = 2(90 - x)° + 30°

To find the measure of the angle, solve the equation:

⇒ (180 - x)° = (180 - 2x)° + 30°

⇒ 180° - x° = 180° - 2x° + 30°

⇒ 180° - x° = 210° - 2x°

⇒ 180° - x° + 2x° = 210° - 2x° + 2x°

⇒ 180° + x° = 210°

⇒ 180° + x° - 180° = 210° - 180°

⇒ x° = 30°

Therefore, the measure of the unknown angle is 30°.

The length of Stan's movie is 2 hours 25 minutes

The length of Talia's movie is 2 hours 55 minutes.

In order to determine the length of the movies, subtract the end time of the movie from the time the movie started.

Subtraction is the mathematical operation that is used to calculate the difference between two or more numbers. The sign that is used to represent subtraction is -.

Length of the movie = time the movie ended - time the movie started

Length of Stan's movie = 9:40 - 7:15 = 2 : 25 hours

Length of the Talia's movie = 10 : 10 - 7 : 15 = 2 : 55 hours

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The equation y = x^2 + 5x - 6 can be factored as y = (x - 1)(x + 6). The x-intercepts of the equation are (1, 0) and (-6, 0).

To convert the equation y = x^2 + 5x - 6 to factored form, we factor the quadratic expression. The factored form is y = (x - 1)(x + 6).

To identify the x-intercepts, we set y = 0 and solve for x. Setting each factor equal to zero gives us x - 1 = 0, which leads to x = 1, and x + 6 = 0, which gives x = -6.

Therefore, the x-intercepts of the equation y = x^2 + 5x - 6 are (1, 0) and (-6, 0).

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Answer: 1 solution

Step-by-step explanation:

The system of linear equations has a unique solution. Then the correct option is A.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slopes are different then the system has one solution.

From the graph, the slope of the lines is different. Then the system of linear equations has a unique solution.

Thus, the correct option is A.

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He can wear 8 different outfits to school.

We have,

The boy can choose one pair of pants, one shirt, and one tie can be written as an expression as:

= 1 × 1 × 1

= 1 way.

He can choose one jacket in 8 ways.

Therefore, he can wear can be written as an expression as:

= 1 × 1 × 1 × 8

= 8 different outfits.

Thus,

He can wear 8 different outfits to school.

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Answer:

\(df \: is \: correct \: answer\)