PLEASE HELP! INCLUDE SCRATCH WORK! THANK YOU!​

The result of the vector multiplication of a scalar is a vector.

A vector has both magnitude and direction while a scalar has only magnitude and no direction.

When each element of the vector is multiplied by the scalar when a scalar and a vector are multiplied. The resulting vector is multiplied by the scalar, but it still has the same direction as the original vector.  Thus when we multiply the vector by the scalar what we get is a vector as we can see in this question.

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To answer this question, we need to know the median and upper quartile of the data set. Once we have these values, we can determine what percentage of the data falls to the right of the median and to the left of the upper quartile.
Let's say the median of the data set is 50 and the upper quartile is 75. To find the percentage of measurements to the right of the median, we need to look at the data values that are greater than 50 and divide that number by the total number of measurements. Let's say there are 40 data values greater than 50 and a total of 100 measurements.

Then, the percentage of measurements to the right of the median would be:

(40/100) x 100% = 40%

To find the percentage of measurements to the left of the upper quartile, we need to look at the data values that are less than or equal to 75 and divide that number by the total number of measurements. Let's say there are 60 data values less than or equal to 75 and a total of 100 measurements. Then, the percentage of measurements to the left of the upper quartile would be:

(60/100) x 100% = 60%


Your answer:
1. 40% of the measurements lie to the right of the median.
2. 60% of the measurements lie to the left of the upper quartile (Q3).

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Answer:

$ 656.1

Step-by-step explanation:

a = 1000(1 - .1)^4

a = 1000(.9)^4

a = 656.1

Answer:

smallest circle. last option

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

you can write 3.33 as 10/3

if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

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The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

Answer:

1

Step-by-step explanation:

Answer:

One

Step-by-step explanation:

\( \frac{1}{2} (x +12) = 4x - 1 \\ \\ \frac{1}{2} x + \frac{1}{2} \times 12 = 4x - 1 \\ \\ \frac{1}{2} x + 6 = 4x - 1 \\ \\ 6 + 1 = 4x - \frac{1}{2} x \\ \\ 7 = \frac{8x - x}{2} \\ \\ 7 = \frac{7}{2} x \\ \\ 7 \times 2 = 7x \\ \\ x = \frac{7 \times 2}{7} \\ \\ x = 2\)

So, there exist only one solution for the given equation.

Answer:

I think the answer is E.

Step-by-step explanation:

-3 -4= -7 and that's less than nine.

if x was 3 it would be -7 + 3 = -4 which is still less than nine

if x was -11 it would be -7 -11 = -18 which is also lower than nine

if x was -3 it would be -7 -3 = -10 that's less than nine as well

Answer:

I only

Step-by-step explanation:

I) 3

9 > -3 - 4(3)

9 > -3 - 12

9 > -15

9 is great than -15 so the value of 3 works.

II). -11

9 > -3 - 4(-11)

9 > -3 +44

9 > 41

9 is actually less than 41 so the value of -11 does not work

III). -3

9 > -3 - 4(-3)

9 > -3 + 12

9 > 9

9 is equal to 9, not greater than so the value of 3 does not work

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

Answer:

-2

Step-by-step explanation: theres no image so i cant tell for sure but if it is rotating counterclockwise then that means its negative.

The coordinates of the image of point Y after these transformations is -2. The figure given has been translated up two units and turned 180 degrees counterclockwise.

The Cartesian coordinate plane is an endless two-dimensional plane. On an endless 2d plane, any two-dimensional figure may be drawn. A location is assigned to each point in a Cartesian plane.

The figure given has been translated up two units and turned 180 degrees counterclockwise.

After these changes, the coordinates of the image of point Y are -2.

Hence, the coordinates of the image of point Y after t, These  transformations is -2.

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Answer:

x=1

Step-by-step explanation:

By substituting 1 into the equation for x, both sides will equal 8.

Answer:

the answer is p=2

Step-by-step explanation:

the right answer is p=2

Answer:

The leastcommon denominator is 40.

Based on hypothetical data, one can create a bar graph and a pie chart by following the steps below

(i) Bar graph:

To make a bar graph, one need to plot the number of friends who prefer each type of game on the y-axis and the types of games (indoor/outdoor) on the x-axis.

So lets say:

To make  (ii) Pie chart:

Lastly, label all sector with the all the game type (indoor/outdoor).

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Using a hypothetical scenario,  the data collected are  given below:

Friend 1: Indoor

Friend 2: Outdoor

Friend 3: Indoor

Friend 4: Outdoor

Friend 5: Outdoor

Friend 6: Indoor

Friend 7: Indoor

Friend 8: Outdoor

Friend 9: Indoor

Friend 10: Outdoor

Answer:

3/8

Step-by-step explanation:

f(x) = x+2/x-3

F(—5) = (—5+2)/(—5 —3)

F(—5) = (—3)/(—8) = 3/8

F(—5) = 3/8

Answer:

n=2

n8=1/64

x=1/2

Step-by-step explanation:

N=first term

n*x=1

n*\(x^{4} \)=1/8

devide both sides

\(x^{3} \)=1/8

x=1/2

n/2=1

n=2

n*\((1/2)^{7} \)=1/64

Answer:

Step-by-step explanation:

Biking is x and bussing is y. We know that the total distance is 325. Thus, the first equation in this system is

x + y = 325 (which says that the km traveled by bike plus the km traveled by bus totaled 325 km).

We also know that the pair biked 75 km more than they rode, giving us the second equation in our system:

x = y + 75. Now we use simple substitution and plug y + 75 in for x in the first equation:

(y + 75) + y = 325 and

2y + 75 = 325 and

2y = 250 so

y = 125 km. They rode the bus for 125 km and biked for 325 - 125 which is 200. And the difference is 75 km, as it should be!

Answer:

A = X

B=Z

C=Y

Step-by-step explanation:

As they are congruent, their corresponding angles are also congruent

Answer:

a)

angle a is congruent to angle x

angle b is congruent to angle z

angle c is congruent to angle y

b)

line ab is congruent to line xz

line ac is congruent to line xy

line bc is congruent to line zy

c)

triangle bca is congruent to triangle zyx

There are 658,008 ways to choose 5 non-Polluted lakes from the remaining 79 lakes.

To determine the number of ways to choose one polluted lake and five non-polluted lakes from a sample of 80 lakes, we can use the concept of combinations.

The total number of ways to choose a group of lakes from a larger set is given by the formula for combinations, which is denoted as "n choose r" and calculated as:

C(n, r) = n! / (r!(n-r)!)

Where n represents the total number of lakes and r represents the number of lakes to be chosen.

In this case, there are 80 lakes in the sample and we want to choose 1 polluted lake and 5 non-polluted lakes. Therefore, we have:

n = 80 (total number of lakes)

r = 1 (number of polluted lakes to be chosen)

Using the combination formula, we can calculate:

C(80, 1) = 80! / (1!(80-1)!)

         = 80! / (1! * 79!)

         = 80

So there are 80 ways to choose 1 polluted lake from the sample of 80 lakes.

Next, we want to choose 5 non-polluted lakes from the remaining 79 lakes (after choosing 1 polluted lake). Using the combination formula again:

C(79, 5) = 79! / (5!(79-5)!)

         = 79! / (5! * 74!)

         = 79 * 78 * 77 * 76 * 75 / (5 * 4 * 3 * 2 * 1)

         = 658,008

Therefore, there are 658,008 ways to choose 5 non-polluted lakes from the remaining 79 lakes.

To find the total number of ways to choose one polluted lake and five non-polluted lakes, we multiply the number of ways for each category:

Total number of ways = 80 * 658,008

                   = 52,640,640

Hence, there are 52,640,640 ways to choose one polluted lake and five non-polluted lakes from the given sample of 80 lakes.

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In 1940, John Atanasoff, a physicist from Iowa State University, wanted to solve a 29 x 29 linear system of equations. To solve this system using Gaussian elimination, it would have required approximately 29^3/3 = 24389 arithmetic operations.

In 1940, John Atanasoff developed the Atanasoff-Berry Computer (ABC), which was the first electronic computer. Atanasoff wanted to use the ABC to solve a 29 x 29 linear system of equations.

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The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Answer: 5

Step-by-step explanation:

As per the statement of the question, we need to select the truth assignment that shows that the argument is not valid. Thus, the correct answer is: p = Fq = F.

The given argument is:

P V Q 79: P Q P = T Q = T P = F Q = T O P = T Q = F P = F Q = F

To identify the truth value of the given argument we first list the all possible truth values for p and q.

Possible values for p and q are:• P = T, Q = T• P = T, Q = F• P = F, Q = T• P = F, Q = FIf we use all of these values to check the validity of the argument, the last row in the argument comes out to be FALSE.

This implies that the given argument is invalid as there exists at least one row that evaluates to FALSE.

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Answer:

Ok, sure.

Step-by-step explanation:

Total number: 5 yellow + 3 orange + 1 red = 9 balls.

To calculate the probability, we need to determine the favorable outcomes, which is the number of ways we can choose one orange ball and one red ball.

Number of ways to choose one orange ball: 3

Number of ways to choose one red ball: 1

Since we need to choose one orange ball and one red ball, the number of favorable outcomes is the product of these two:

Number of favorable outcomes = 3 * 1 = 3

Now, let's calculate the total number of possible outcomes. We will choose 2 balls out of the 9 available in the box.

Number of ways to choose 2 balls out of 9 = 9C2 = (9 * 8) / (2 * 1) = 36

Therefore, the total number of possible outcomes is 36.

Finally, we can calculate the probability:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 3 / 36

Probability = 1 / 12

So, the probability that one ball is orange and the other is red is 1/12.

Answer:

\(\frac{1}{12}\) or 0.0833

Step-by-step explanation:

This  problem can be solved using the formula:

P(A∩B)=P(A)×P(B∣A)

where P(A∩B) is the probability of both events happening, P(A) is the probability of the first event happening, and P(B∣A) is the probability of the second event happening given that the first event has happened.

In this case, we want to find the probability that one ball is orange and the other is red. There are two possible ways this can happen: either we draw an orange ball first and then a red ball, or we draw a red ball first and then an orange ball. We can use the formula to calculate the probability of each scenario and then add them up.

The probability of drawing an orange ball first is P(O)=3/9​, since there are 3 orange balls out of 9 total balls. The probability of drawing a red ball second given that we have drawn an orange ball first is P(R∣O)=1/8​ since there is 1 red ball out of 8 remaining balls. Therefore, the probability of drawing an orange ball first and then a red ball second is:

P(O∩R)=P(O)×P(R∣O)= 93/9 × 1/8 ​= 1/24​

Similarly, the probability of drawing a red ball first is P(R)=1/9​, since there is 1 red ball out of 9 total balls. The probability of drawing an orange ball second given that we have drawn a red ball first is P(O∣R)=3/8​, since there are 3 orange balls out of 8 remaining balls. Therefore, the probability of drawing a red ball first and then an orange ball second is:

P(R∩O)=P(R)×P(O∣R)= 1/9 × 3/8 ​=  1/24​

Finally, we can add up the probabilities of both scenarios to get the answer:

P(O,R)=P(O∩R)+P(R∩O)= 1/24 + 1/24​ = 2/24 ​= 1/12

Therefore, the probability that one ball is orange and the other is red is 1/12​ or about 0.0833.

To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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Answer:

No its not a function

Step-by-step explanation:

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The sampling method that best fits your experiment is convenience sampling.

Sampling is the process of selecting a subset of individuals or items from a larger population in order to gather information and draw conclusions about the entire population. Sampling is often used in scientific research, market research, and other fields where it is impractical or impossible to measure the entire population.

There are many different types of sampling methods, including random sampling, stratified sampling, cluster sampling, and convenience sampling. Each method has its own advantages and disadvantages, and the choice of sampling method depends on the specific research question and the resources available.

The sampling method that best fits your experiment is convenience sampling. Convenience sampling is a non-probability sampling method that involves selecting individuals who are readily available and accessible to the researcher. In your case, you are selecting individuals who are present in front of a major grocery supermarket, which is a convenient location. Convenience sampling is often used in situations where it is difficult or impractical to obtain a random sample, and is commonly used in market research and pilot studies.

However, it is important to note that convenience sampling has some limitations. Since the sample is not randomly selected, it may not be representative of the population as a whole. In your case, selecting supermarkets in high median salary areas may introduce bias into the sample, as it may not accurately represent the entire population of USA voters. Additionally, the sample size and characteristics may be affected by factors such as time of day, day of the week, and other factors that may affect who is present in front of the supermarket at a given time. Therefore, the results obtained from this sampling method may not be generalizable to the entire population of USA voters.

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The lower confidence interval for the mean life of the new type of LED at a 95% confidence level is [5084.7,∞ )

To calculate the lower confidence interval for the mean life of the new type of LED, we can use the formula:

Lower confidence limit = sample mean - (critical value) x (standard error)

where the standard error is the standard deviation of the sample mean, given by:

standard error = sample standard deviation / √sample size

The critical value depends on the confidence level and the degrees of freedom, which for a sample of size 9 is 8 (n-1).

For a 95% confidence level, the critical value with 8 degrees of freedom is 2.306. Substituting the given values into the formula, we get:

Lower confidence limit = 5200 - 2.306 x (150 /√9 )

= 5200 - 115.3

= 5084.7

Therefore, the lower confidence interval for the mean life of the new type of LED at a 95% confidence level is [5084.7,∞ )

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