Find two vectors vi and v2 whose sum is (5, -5,5), where vį is parallel to (5,-1, 1) while v2 is perpendicular to (5, -1, 1). V1=__and V2 = __

The answer to this question is c.The use of a correlation coefficient.

The use of a correlation coefficient would tell you that an association claim is being made in a research study. A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 0 indicating no relationship and -1 or 1 indicating a perfect negative or positive relationship, respectively.

A scatterplot or bar graph may be used to visually display the relationship between two variables, but they do not necessarily indicate that an association claim is being made. The measurement of two variables is necessary for any type of research study, but it does not inherently imply that an association claim is being made.

Interrogation of internal validity is a process used to ensure that the study's results accurately reflect the relationship between the variables being studied. It is important for any research study but does not specifically indicate that an association claim is being made.

Therefore,the answer to this question is c.The use of a correlation coefficient.

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We can calculate the z-score for each student's score using the formula:
z-score = (x - mean) / standard deviation
where x is the student's score.

To find the number of students that scored on the given test, we need to use the normal distribution formula. We know that the mean of the test is 80 and the standard deviation is 5. Therefore, we can calculate the z-score for each student's score using the formula:

z-score = (x - mean) / standard deviation

where x is the student's score.

Once we have calculated the z-score for each student, we can use a standard normal distribution table or calculator to find the proportion of students who scored at or below a certain z-score. For example, if we want to find the proportion of students who scored above 75, we would calculate the z-score for a score of 75 and then subtract that proportion from 1 to get the proportion of students who scored above 75.

To find the number of students that scored, we can multiply the proportion of students who scored in a certain range by the total number of students (2000). For example, if we found that 10% of students scored above 90, we could estimate that 200 students scored above 90.

Overall, using the normal distribution formula allows us to estimate the number of students that scored on the given test based on the mean and standard deviation of the test scores.

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Answer:

Step-by-step explanation:

The shaded region is the difference of large and small rectangles.

The area is the difference of areas:

Answer:

The area of shaded region = 3x²+7x

Step-by-step explanation:

Area of larger rectangle = (2x+5)(2x)

=> 4x²+10x

Area of smaller rectangle = (x+3)(x)

=> x²+3x

The area of shaded region = Area of larger rectangle - Area of smaller rectangle .

=> 4x²+10x - (x²+3x)

=> 4x²+10x -x²-3x

=> 3x²+7x

The solutions are;

The joint probability of y1 and y2 is  \(\left[\begin{array}{ccc}0\\1\\2\end{array}\right]\)\(\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right]\) and F(1,0) = 1/3.

Given data;

Let y1 signify the number of contracts awarded to firm a and y2 the number of contracts assigned to firm b. Recall that each firm can receive 0, 1, or 2 contracts. Contracts for two construction tasks are randomly assigned to one or more of three firms, a, b, and c.

To find,

(a) The joint probability function for  y₁ and y₂

Let y₁ denote the number of contracts assigned to firm A,

y₂ the number of contracts assigned to firm B

      y₁

      \(\left[\begin{array}{ccc}0&1&2\\\\\end{array}\right]\)

        y₂

\(\left[\begin{array}{ccc}0\\1\\2\end{array}\right]\)\(\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right]\)

(b) Find F(1,0)

F(1,0) =  p(y₁ ≤ 1, y₂ ≤ 0)

         = p(0,0) + p(1,0)

         = 1/9 + 2/9

         = 1/3.

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Answer:

Step-by-step explanation:

poop

Answer:

LOOK BELOW

Step-by-step explanation:

I would not call the explanation a formula

All you have to do to solve mean or average is add all of the numbers up and divide by the total amount of numbers

so for example

0,2,4,0,2,3,2,8,6  <-------- lets find the mean/average

0+2+4+2+3+2+8+6= 27/amount of numbers

amount of numbers=9

(count the zeros too!)

27/9=3

3 is the mean or average!!!

The point of maximum curvature of the curve y = 9 ln(x) occurs when the second derivative of the curve is equal to zero, which is when x = e. At this point, the curvature of the curve is equal to k(x) = 9/e^2.

Infinity is a concept used to describe something that is limitless or without end. It is typically used to describe a quantity, such as an infinite number of objects or an infinite amount of time. It is also used to describe the concept of something that is boundless or has no boundaries. Infinity is an abstract concept and is not considered a number or a measurement.

As x rightarrow infinity, the value of k(x) approaches zero, because the second derivative of the curve approaches zero. Therefore, k(x) approaches zero as x rightarrow infinity.

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Answer:

D. 5

Step-by-step explanation:

Based on the midsegment theorem of a trapezoid, thus:

QR = ½(OP + MN)

Substitute

27 = ½((5x - 7) + (6x + 6))

27 = ½(5x - 7 + 6x + 6)

Add like terms

27 = ½(11x - 1)

Multiply both sides by 2

2*27 = 11x - 1

54 = 11x - 1

54 + 1 = 11x

55 = 11x

55/11 = x

5 = x

x = 5

Answer:

y + 0.30x = fee charged

The perimeter (p) can be expressed as: p = s + s + s = 3s.

If "s" represents the measure of one side of the equilateral triangle, then:

The perimeter (p) of an equilateral triangle can be found by adding up the length of all three sides. Since all sides of an equilateral triangle are equal, the perimeter (p) can be expressed as: p = s + s + s = 3s.

Another way to express the perimeter (p) of an equilateral triangle is to use multiplication. Since all three sides are equal, we can simply multiply the length of one side (s) by 3 to get the perimeter (p): p = 3s.

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Answer:

A: y= -3/2x+2

B: y= -1/2x-2

Step-by-step explanation:

slope intercept form

y=mx+b

The equation that represents the situation is (4 + x) / (10 + 25 + x) = 0.25

Let's start by finding the amount of medicine in the original mixture before adding any pure medicine.

The amount of medicine in the 10 grams of 15% solution is

0.15 × 10 = 1.5 grams

The amount of medicine in the 25 grams of 10% solution is

0.10 × 25 = 2.5 grams

So the total amount of medicine in the original mixture is,

1.5 + 2.5 = 4 grams

Now let x be the amount of pure medicine added.

The total amount of medicine in the final mixture is,

4 + x

The total amount of solution in the final mixture is,

10 + 25 + x

So the concentration of the final mixture is,

(4 + x) / (10 + 25 + x)

We know that this concentration is 25%, so we can write:

(4 + x) / (10 + 25 + x) = 0.25

This is the equation that represents the situation.

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The given question is incomplete, the complete question is:

A pharmacist mixes 10 grams of a 15% medicine solution with 25 grams of a 10% medicine solution. Suppose we know that after she adds the x grams of pure medicine the pharmacists mixture is 25% medicine solution. Write an equation that represents the situation

Answer:

128.06

Step-by-step explanation:

think about the diagonal of the field, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (80, and 100) and now we have to solve for the hypotenuse (or the diagonal). so use pythagorean theorem :

80^2 + 100^2 = c^2

16400 = c^2

c = 128.06

Answer:

b = 498

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

b = 45.95d + 38.5

d = 10 days

Step 2: Evaluate

Answer:

498 dollars

Step-by-step explanation:

So just plug in the 10 in the equation for D

45.95*10+38.5

Now just solve using order of operations

You would get 498

Answer: Hi! 91.7% is a rational number. Because...

Step-by-step explanation: rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps!

Based on the information that has been provided, it is not possible to conclude whether there are a greater number of philosophers or mathematicians.

The statement only provides information regarding the proportion of mathematicians to philosophers and vice versa; it does not provide information regarding the total number of people working in either subject. It is possible that there are a greater number of philosophers, a greater number of mathematicians, or an equal number of both. We would need further information, such as the overall number of people in the fields, in order to accurately establish the number of persons who are present in each field specifically.

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The values of x and y in the logarithm are 100 and 10 respectively.

A logarithm is an exponent that indicates how many times a base must be multiplied by itself to produce a given number

Given that: If log₁₀(x²y³)=7 and log₁₀(x/y) =1

log₁₀(x/y) = 1

Take the anti-logarithm of both sides:

x/y = 10¹

x/y = 10

x = 10y

Substitute x = 10y into log₁₀(x²y³)=7:

log₁₀(x²y³) = 7

log₁₀((10y)²y³) = 7

log₁₀((100y²)y³) = 7

log₁₀(100y⁵) = 7

Take the anti-logarithm of both sides:

100y⁵ = 10⁷

Solve for y:

y⁵ = 10⁷/100

y⁵ = 100000

y = \(\sqrt[5]{100000}\)

y = 10

Since x = 10y

x = 10 × 10 = 100

Thus, x = 100 and y = 10

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Complete Question

If log₁₀(x²y³)=7 and log₁₀(x/y) =1 then x = and y = .

Answer:

=====================

This is a quadratic function and it can get maximum at vertex.

The x-coordinate of the vertex is determined by x = - b/(2a).

We have:

Find the value of x:

Correct choice is B.

The correct answer is A. The null hypothesis is rejected in error.

In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.

In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.

It is a false negative result, as the researcher fails to detect a true effect or relationship.

Option A accurately describes Type II error, while the other options are not related to Type II error.

Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.

Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.

Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.

Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.

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The value of the given function h(k(3)) when h(x) =√ x+3  and k(x) = 2x +7 is equal to 4.

As given in the question,

Given functions are :

h(x) =√ x+3  and k(x) = 2x +7

To find the value of the composite function h(k(3)) :

First calculate for k(3) we get,

k(x) = 2x+ 7

Substitute x =3 in k(x) we get,

k(3) = 2(3) +7

⇒ k(3) = 13

Now, Substitute the value of k(3) in the composite function h(k(3)) we get,

h(k(3))

= h(13)

= √ 13 +3

=√16

= 4

Therefore, the value of the given function h(k(3)) when h(x) =√ x+3  and k(x) = 2x +7 is equal to 4.

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Answer:

I think its -2,-3 but im not 100% sure

When sampling is finished without replacement, each member of a population could also be chosen just once. during this case, the chances for the second pick are full of the results of the primary pick. The events are considered to be dependent or not independent.

lets understand with the help of an Example

You have a good, well-shuffled deck of 52 cards. It consists of 4 suits. The suits are clubs, diamonds, hearts and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king) of that suit.

Sampling without replacement:

Suppose you decide three cards without replacement. the primary card you choose out of the 52 cards is that the K of hearts. you place this card aside and pick the second card from the 51 cards remaining within the deck. it's the three of diamonds. you place this card aside and pick the third card from the remaining 50 cards within the deck. The third card is that the J of spades. Your picks are . Because you have got picked the cards without replacement, you can not pick the identical card twice.

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The solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .

According to the given question.

We have an expression (d-6)(2e-3)+(d-6)(e+1).

Here, we have to find the solution of the given expression.

As we know that, an action or process of solving a problem.

Therefore, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is given by

(d-6)(2e-3)+(d-6)(e+1)

= 2de -12e -3d + 18 + de -6e + d - 6            (by distributive rule)

= 3de -18e -2d + 12

Hence, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .

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As per the question, All four students A, B, C, and D are loss-averse over money and have the same value function as below:v(x dollars)={√x     x ≥ 0   {-2√-x  x < 0They are also loss averse over mugs and have the same value function.

v(y mugs)={3y y ≥ 0
        {4y y < 0
Now, we have to find the values of a, b, c and d as below:
- Student A owns a mug and is willing to sell it for a price of a dollars or more. i.e v(a) = v(0) + v(a-A), where A is the initial endowment of A. According to the given function, v(0) = 0, v(a-A) = 3, and v(A) = 4.
So, a ≥ A+3/2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. i.e v(B-b) = v(B) - v(0), where B is the initial endowment of B. According to the given function, v(0) = 0, v(B-b) = -4, and v(B) = -3.
So, b ≤ B+1/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. i.e v(c) = v(0) + v(c), where C is the initial endowment of C. According to the given function, v(0) = 0, v(c) = 3.
So, c = C/2
- Student D is indifferent between losing a mug and losing d dollars. i.e v(D-d) = v(D) - v(0), where D is the initial endowment of D. According to the given function, v(0) = 0, v(D-d) = -3.
So, d = D/2
2) In this case, value function for money changes to:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
However, the value function for mugs remains the same:v(y mugs)={3y y ≥ 0
         {4y y < 0
Therefore, values for a, b, c, and d will remain the same as calculated in part (1).
3) In this case, students are not loss-averse. Value function for money:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
Value function for mugs:v(y mugs)={3y y ≥ 0
The reference point is the status quo, i.e initial endowment. So,
- Student A owns a mug and is willing to sell it for a price of a dollars or more. The value of mug for A is 3 initially and he would sell it for 3 or more.
So, a ≥ A+3/2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. The value of mug for B is 3 initially and he would buy it for 3 or less.
So, b ≤ B+3/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. The value of the mug for C is 3 initially.
So, c = 3
- Student D is indifferent between losing a mug and losing d dollars. The value of the mug for D is 3 initially.
So, d = 3
4) In this case, value function for money:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
Value function for mugs: Mug will have a value of 4 for someone who owns it and 3 for someone who does not own it.
The reference point is the status quo, i.e initial endowment. So,
- Student A owns a mug and is willing to sell it for a price of a dollars or more. The value of mug for A is 4 initially and he would sell it for 4 or more.
So, a ≥ A+2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. The value of mug for B is 3 initially and he would buy it for 3 or less.
So, b ≤ B+3/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. The value of the mug for C is 3 initially and he would like to buy it for 3.
So, c = 3
- Student D is indifferent between losing a mug and losing d dollars. The value of the mug for D is 3 initially.
So, d = 3.

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(a) The rate at which the balance is changing when t = -1 year is $-9000e dollars per year.

(b) The rate at which the balance is changing when t = 10 years is $8100e dollars per year.

(c) The rate at which the balance is changing when t = 50 years is $0 dollars per year.

The given function A(t) = 9000e^t represents the balance in a savings account, where t is measured in years. To find the rate at which the balance is changing, we need to differentiate A(t) with respect to t. The derivative of A(t) with respect to t is dA/dt = 9000e^t.

For part (a), when t = -1 year, we substitute t = -1 into the derivative to find the rate of change of the balance.

Similarly, for part (b), we substitute t = 10 into the derivative to find the rate of change at that time.

Finally, for part (c), when t = 50 years, the derivative becomes zero, indicating that there is no change in the balance at that point in time.

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Answer:

450%

Step-by-step explanation:

Divide 9/2 to get 4.5, then multiply this by 100 to get 450%

Good Luck!

[:

Answer:

d

Step-by-step explanation:

Answer:

s(2r + 2s) or 2s(r + s)

Step-by-step explanation:

To factor -10r^2-11sr+6s^2, we need to find two binomials that when multiplied together give us the original expression.

First, we need to find two numbers that multiply to give -60s^2 (the product of the coefficients of the first and last term) and add to give -11s (the coefficient of the middle term). These numbers are -5s and -6s.

We can now split the middle term -11sr into -5sr - 6sr and rewrite the original expression as:

-10r^2 - 5sr - 6sr + 6s^2

Now we can factor by grouping:

(-10r^2 - 5sr) + (-6sr + 6s^2)

Factor out -5s from the first group, and 6s from the second group:

-5s(2r + s) + 6s(1r - s)

Now we have a common factor of (2r + s) - (1r - s):

(-5s + 6s)(2r + s - 1r + s)

Simplifying this expression gives us the final factorization:

s(2r + 2s) or 2s(r + s)

Answer: -(5r-2s)(2r+3s)

Step-by-step explanation: First you factor out the negative 1 and you get -(10r^2 + 11sr -6s^2). Then you factor it to get -(5r-2s)(2r+3s).