The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.

A vector is a quantity that has both magnitude and direction. Magnitude refers to the length of the vector, and direction refers to the direction in which the vector is pointing.

The magnitude and direction of a vector can be used to represent a wide variety of physical quantities, including velocity, force, and acceleration. Component Form of a Vector:If we have a vector, v, with initial point A (x1, y1) and terminal point B (x2, y2), then the component form of v is given by:v = [x2 - x1, y2 - y1]We can then express the result as an ordered pair.

The magnitude (length) of a vector:The magnitude (or length) of a vector can be calculated using the formula:|v| = √(x² + y²)Where x and y are the x and y components of the vector respectively.Direction of a vector:The direction of a vector can be expressed in two ways, by an angle (θ) or by the angle of elevation

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Answer:

Step-by-step explanation:

if you need to find g,

add 5 on both sides

g=-2+5

g=3

Answer:

Step-by-step explanation:

2 miles=10 laps

3 miles=15 laps

5 miles=25 laps

Hope it helps

The total number of people who have the disease is 115.

The total number of people in the sample population is

Total = 175

The negative predictive value is

NPV= (TN / (TN + FN)) = (25 / (25 + 55) = 25 / 80 = 0.3125

The positive predictive value

PPV = (TP / (TP + FP)) = (60 / (60 + 35) = 60 / 95 = 0.6316

The sensitivity of the test

Sensitivity = (TP / (TP + FN)) = (60 / (60 + 55) = 60 / 115 = 0.5217

The total number of people who have the disease

= 60+55 = 115

The number of False Positives (FP)

= 35

The number of True Positives (TP)

= 60

The total number of people that tested negative

= 80

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Answer:

Step-by-step explanation:

\((2x)^{2} +12.6^{2} =21^{2} \\\\4x^{2} +158.76=441\\\\4x^{2}441-158.76\\\\4x^{2} =282.24\\\\x^{2} =70.56\\\\x=8.4\)

hope it helps....

have a great day :)

The answer to the probability that 113 or fewer people in this sample have had chickenpox in their childhood is 0.1422

The probability that 113 or fewer people in this sample have had chickenpox in their childhood is 0.1422(rounded to four decimal places).

Step-by-step explanation : We can use the binomial probability formula to solve this problem.                                                                     Let's assume p be the probability that a person had chickenpox in their childhood.                                                                                  q = 1 - p is the probability that a person did not have chickenpox in their childhood.                                                                                           n is the sample size which is 400.                                                                                                                                                                                                                                                                             The formula is as follows:P(X ≤ 113) = P(X = 0) + P(X = 1) + ... + P(X = 113)P(X = k) = C(n, k) * p^k * q^(n-k) where C(n, k) is the combination of n objects taken k at a time which is given by n!/k!(n-k)! Substituting the values of n, p, q, and k in the formula we get, P(X ≤ 113) = ∑ C(400, k) * p^k * q^(n-k) , for k = 0 to k = 113.

We can calculate the probability  using a calculator or Microsoft Excel.

Using the Excel formula = BINOM.DIST(113,400,0.17,TRUE) we get the answer as 0.1422(rounded to four decimal places).Therefore, the probability that 113 or fewer people in this sample have had chickenpox in their childhood is 0.1422 (rounded to four decimal places).

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Answer:

its d because your switching it up.

Answer:

I think you meant scientific notation because 75 in standard notation is 75 and also the answer is 7.5 x 10 and a 1 exponent.  

Step-by-step explanation:

hope this helps

Answer:

initial amount is 130

decaying at 55%

Step-by-step explanation:

To estimate the variable lubrication cost per machine hour using the least-squares regression method, we need to find the equation of the regression line that best fits the given data.

The equation will be in the form of y = mx + b, where y represents the lubrication cost and x represents the machine hours.

By using the least-squares regression method, we can find the values of m and b that minimize the sum of the squared differences between the actual lubrication costs and the predicted lubrication costs based on the machine hours.

Once the regression line equation is determined, we can substitute the value of machine hours (x) to find the estimated lubrication cost per machine hour (y). The closest value to this estimate will be the answer to the question.

To obtain the closest estimate, the complete dataset is required to perform the regression analysis and calculate the regression line equation.

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Answer:

81x³ + 54x³i

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

a³b

a = -3x

b = -3 - 2i

Step 2: Expand

The variance of 2X + 3Y, where Var(X) = 10, Var(Y) = 15, and Cov(X, Y) = -7, is equal to 91 using the properties of variance and covariance.

To find the variance of 2X + 3Y, where Var(X) = 10, Var(Y) = 15, and Cov(X, Y) = -7, we can use the properties of variance and covariance. First, let's calculate the variance of 2X + 3Y using the following formula:

Var(aX + bY) = a² * Var(X) + b² * Var(Y) + 2ab * Cov(X, Y)

Given:

Var(X) = 10

Var(Y) = 15

Cov(X, Y) = -7

Plugging in the values into the formula, we get:

Var(2X + 3Y) = (2² * Var(X)) + (3² * Var(Y)) + 2 * 2 * 3 * Cov(X, Y)

= 4 * 10 + 9 * 15 + 2 * 2 * 3 * (-7)

= 40 + 135 + (-84)

= 91

Therefore, Var(2X + 3Y) is equal to 91.

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In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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Answer:

Step-by-step explanation:

When designing a questionnaire, overcoming measurement errors can be reduced by various strategies. However, one of the options listed does not contribute to reducing measurement errors. The option that does not help in reducing measurement errors is: c. The use of many answer scale categories.

Measurement errors in questionnaires can arise due to various factors, such as respondent bias, response inconsistency, and ambiguous or confusing question wording. To minimize these errors, researchers employ different techniques. Let's examine the options:

a. The use of a linear rating scale with only the extreme categories labeled: This technique helps by simplifying the rating scale and providing clear reference points, which can enhance response accuracy.

b. Positioning difficult and important questions at the beginning and end of the questionnaire: This strategy is known as primacy and recency effects. Placing challenging and significant questions at the start and end can improve response quality as respondents are more focused and attentive during those sections.

c. The use of many answer scale categories: This option, contrary to the others, does not help in reducing measurement errors. Having numerous answer scale categories can increase respondent confusion, lead to midpoint bias, and result in inconsistent or inaccurate responses.

d. Positioning easy and straightforward questions in the questionnaire: This technique aims to create a smooth flow and encourage respondents to answer confidently. By placing easier questions strategically, respondents may feel more comfortable and provide accurate responses.

In summary, all the provided options contribute to reducing measurement errors except for option c, the use of many answer scale categories.

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The area of the quadrilateral is 14 square centimeters.

The quadrilateral is made up of two triangles.

Area of a triangle is expressed as;

1/2 × base × height.

Given that;

For the upper triangle

For the lower triangle

The area of the quadrilateral will be the sum of the area of the two triangles.

Area of quadrilateral = Area of upper triangle + Area of lower triangle

Area of quadrilateral = ( 1/2 × 4 × 4 ) + ( 1/2 × 4 × 3 )

Area of quadrilateral = ( 2 × 4 ) + ( 2 × 3 )

Area of quadrilateral = ( 8 ) + ( 6 )

Area of quadrilateral = 14cm²

Therefore, the area is 14cm².

Option D) 14 square centimeters is the correct answer.

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\(\large\underline{\sf{Solution-}}\)

Given Polynomial:

\( \rm \longmapsto f(x) = {x}^{2} + px - q\)

Let α and β be the zeros of f(x)

Then:

\( \rm \longmapsto \alpha + \beta = - p\)

\( \rm \longmapsto \alpha \beta = - q\)

Now, it's given that:

\( \rm \longmapsto k = \dfrac{ \alpha }{ \beta } \)

Consider the expression given:

\( \rm = \dfrac{k}{1 + {k}^{2} } \)

\( \rm = \dfrac{ \dfrac{ \alpha }{ \beta } }{1 + { \dfrac{ \alpha {}^{2} }{ \beta {}^{2} } }} \)

\( \rm = \dfrac{ \dfrac{ \alpha }{ \beta } }{ { \dfrac{ \alpha {}^{2} + { \beta }^{2} }{ \beta {}^{2} } }} \)

\( \rm = \dfrac{ \alpha }{ { \dfrac{ \alpha {}^{2} + { \beta }^{2} }{ \beta } }} \)

\( \rm = \dfrac{ \alpha \beta }{\alpha {}^{2} + { \beta }^{2} } \)

\( \rm = \dfrac{ \alpha \beta }{ {( \alpha + \beta )}^{2} - 2 \alpha \beta } \)

\( \rm = \dfrac{ - q }{ {p}^{2} + 2q} \)

No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or a combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

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Answer:not congruent.

Step-by-step explanation:

Answer:

210 ml

Step-by-step explanation:

Answer:

Zoom in more and I can help

Step-by-step explanation:

Chi-squared analysis is used to determine whether there is a significant relationship between two variables. The chi-squared test requires two or more categories of data. The data used in the chi-squared analysis has 200 cases for each location, and the question asks if it is necessary to have the same number of observations from each location for every product.

In the chi-squared test, the null hypothesis is that there is no relationship between the two variables being tested. It is not necessary to have the same number of observations from each location for every product. The null hypothesis is tested against the alternative hypothesis, which states that there is a relationship between the variables. The chi-squared test can be used to test for independence between two categorical variables. In the context of this question, the two variables are location and product. If there is a significant relationship between the variables, it means that the location affects the product. For example, if a company sells two products in two different locations and the sales of one product are significantly higher in one location than in the other location, it means that the location affects the sales of the product. In this case, it is not necessary to have the same number of observations from each location for every product.

Therefore, the answer to the question is no; it is not necessary to have the same number of observations from each location for every product. The chi-squared test can still be used to determine whether there is a significant relationship between the two variables, even if the number of observations is not the same.

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Answer:

A' (4, 3)

Step-by-step explanation:

you could use the coordinate rule for the rotation of 270 which is (b, -a) this doesnt mean u make the things negative or positive it means that you are switching the y coordinate to where the x coordinate is and making the x coordinate the opposite symbol of what it is, sorry if this make no sense lol

The largest square that Mr. Stanley can use to plant in his farm is a square with a side length of 8 meters.

To find the greatest common factor of 24 and 40, we can list the factors of both numbers and find the highest factor that they have in common:

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

The highest factor that 24 and 40 have in common is 8.

Factors are numbers that can be multiplied together to get a given number. For example, the factors of 6 are 1, 2, 3, and 6 because 1 x 6 = 6 and 2 x 3 = 6. Factors can be prime or composite. Prime factors are those that are only divisible by 1 and themselves. Composite factors are those that have more than two factors.

Factors are important in math because they can be used to simplify fractions, find common denominators, and solve equations. They also play a crucial role in number theory and cryptography, where they are used to encrypt and decrypt messages. 150 is a composite number, which means it has factors other than 1 and itself. The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. To find these factors, you can divide 150 by each number smaller than it and see if the remainder is 0.

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Answer:

Since you're looking for how many acres can be planted per pound of seed, you'd have to divide 9 by 80.

Once divided, you would get 0.1125.

0.1125 ACRES CAN BE PLANTED PER POUND OF SEED.Step-by-step explanation:

Step-by-step explanation:

To multiply the fractions, like

\( \frac{1}{4} \times \frac{1}{9} \)

Multiply the top,

then multiply the bottom.

\( \frac{1}{4} \times \frac{1}{9} = \frac{1 \times 1}{4 \times 9} = \frac{1}{36} \)

Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.

To divide fractions, like

\( \frac{ \frac{1}{5} }{ \frac{1}{8} } \)

You take the top number,

\( \frac{1}{5} \)

Then you flip the bottom number,

\( \frac{8}{1} \)

Then multiply the two

\( \frac{1}{5} \times \frac{8}{1} = \frac{8}{5} \)

And that is your answer. Comment if you need more clarification

Answer:

19 hours 20 minutes

Step-by-step explanation: