Find the angle 8 between v and w if v · w= vē 110 111 1|w|. (Use symbolic notation and fractions where needed. Give your answer in terms of r.) ө

Answer:

x = 8.64

x = - 7.64

Both to 2 d.p

Step-by-step explanation:

Firstly, - 8 both side - cancels the +8 & get the surd to equal x - 8

Then, square root both side, to get:

x-2= x^2 - 64

+ 2 both side

x = x^2 - 66

-x

0= x^2 - 66 - x

x^2 - x - 66 = 0

general equation for quadratic is ax^2 + bx + c

Now, we can find the value of a, b, c using x^2 - x - 66 = 0

a=1

b= - 1

c= - 66

Now use quadratic formula

x = -b±√(b²-4ac))/(2a

= --1 + √ - 1 x - 1 - 4x1x-66 / 2x1

= 8.639.....

Now repeat with - b - & not - b +

x = -b±√(b²-4ac))/(2a

= --1 - √ - 1 x - 1 - 4x1x-66 / 2x1

= - 7.639.......

The average of height of x girls and y boys with m and n height is (mx + ny)/(x + y).

The average of any value is calculated by the formula -

Average = sum of the height of students ÷ total number of students

Based on mentioned information, the average can be calculated through individually calculating numerator and denominator.

Sum of the heights of girls in a class = m × x

Sum of the height of boys in a class = n × y

Total number of students in a class = x + y

Keep the value in formula -

Average = (mx + ny)/(x + y)

Thus, average height is (mx + ny)/(x + y).

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Item response theory is to latent trait theory as observer reliability is to inter-scorer reliability.

Reliability in a broad statistical sense is synonymous with consistency.

Item response theory (IRT) is a statistical framework used to model the relationship between the latent trait being measured and the observed responses to test items. It provides a way to estimate an individual's level on the latent trait based on their item responses.

The Observer reliability also known as inter-scorer reliability, is a measure of consistency or agreement among different observers or scorers when assessing or rating a particular phenomenon.

Both measures are concerned with the reliability or consistency of measurements but in different contexts and with different focal points.

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Answer:

x = 16

Step-by-step explanation:

46° and (3x - 2)° are alternate angles and are congruent , so

3x - 2 = 46 ( add 2 to both sides )

3x = 48 ( divide both sides by 3 )

x = 16

Answer:

Below

Step-by-step explanation:

g(x) = 1/12 x - 6.

The function f(x) shrinking vertically by a factor of 12 and translated down 6 units is

g(x) = x/12 - 6.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

f(x) = x

g(x) is the translation of f(x).

Now,

f(x) is vertically shrunk by a factor of 12.

This means,

= f(x)/12

So,

g(x) = x/12

Now,

f(x) is translated down 6 units.

This means,

f(x) - 6

So,

g(x) = x/12 - 6

Thus,

The function of g(x) is x/12 - 6.

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Answer:

7

Step-by-step explanation:

-7 is 7 units away from 0 so the absolute value would be 7

Answer:

REMEMBER =

The absolute value is the positive of ANY NUMBER!

EXAMPLE =

| 6 | = 6

| -1,000,000 | = 1,000,000

| -7 | = 7

Hope this helps! <3

The value of the addition operation is 2.38157 x 10^19

The numbers are given as:

2.35 x 10^19 and 3.157 x 10^17.

Express as sum

2.35 x 10^19 + 3.157 x 10^17.

Express 10^17 as 10^19 * 10^-2

So, we have:

2.35 x 10^19 + 3.157 x 10^19 * 10^-2

Factor out 10^19

(2.35 + 3.157  * 10^-2) x 10^19

Express 10^-2 as 0.01

(2.35 + 3.157  * 0.01) x 10^19

This gives

(2.35 + 0.03157) x 10^19

Evaluate the sum

2.38157 x 10^19

Hence, the value of the addition operation is 2.38157 x 10^19

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Answer:

2.38157 x10^19

Step-by-step explanation:

Answer: mr lee is 37 year .

Step-by-step explanation:32+5=37

Answer:

Mr. lee is 35 yrs old right now. his son 3

Step-by-step explanation:

after 5 yrs, his son will be 8 and lee 40, 8×5=40

Answer:

-0.8

Step-by-step explanation:

Answer:

$23,302.50

Step-by-step explanation:

To convert tablespoon to grams, you need to know the density of the substance and use a conversion factor to multiply the number of tablespoons by the density in grams per tablespoon.

To convert tablespoon (tbsp) to grams (g), you need to know the density of the substance you are measuring.

For example, 1 tablespoon of water weighs approximately 15 grams. However, the weight of 1 tablespoon of a different substance, such as flour or sugar, would be different because their densities are different.

Therefore, you need to look up the density of the substance you are measuring and use a conversion factor to convert tablespoons to grams. The conversion factor will be the density of the substance measured in grams per tablespoon.

Then, to convert tablespoons to grams, multiply the number of tablespoons by the conversion factor. The result will be the weight of the substance in grams.

Here's an example of how to convert tablespoons to grams using a conversion factor:

Suppose you need to convert 3 tablespoons of sugar to grams. The density of sugar is approximately 12.5 grams per tablespoon. To convert tablespoons to grams, you would multiply the number of tablespoons by the conversion factor (density in grams per tablespoon):

3 tbsp * 12.5 g/tbsp = 37.5 grams

Therefore, 3 tablespoons of sugar is equivalent to 37.5 grams of sugar.

It's important to note that the density of a substance can vary depending on various factors such as temperature, pressure, and moisture content. Therefore, it's important to use a reliable source for the density of the substance you are measuring.

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Answer: m

Step-by-step explanation:

in y=mx+b, m is the slope and b is the y intercept.

Answer:

M

Step-by-step explanation:

The slope in y=mx+b is the letter M.

Answer:

3 is being multiplied by the square root of 18 which is being raised to the "x" value

Answer:

n= -5

Step-by-step explanation:

7n+3n= -50

solve 10n=-50 n= -5

Step-by-step explanation:

djzbiznJzlzbzjdkzlz?kskdbdid jaozbizz,#

If the markup for both swing sets is 20 1/4% . The school decides to buy the Adventurers swing set. The selling price of the swing set they are buying is:  $3,674.84.

Selling price can be defined as the amount a person intend to sell his/her product or the amount a buyer intend to buy a product.

Given data:

Adventurers  selling price = $3056

Thunder Ridge = 4,125

Markup 20 1/4% = 20.25 %

First  step is to find markup  

Markup = 20.25% × 3056

Markup =  $618.84

Now let find the selling price of the swing

Selling price = $3056 + $618.84

Selling price = $3,674.84

Therefore the selling price is the amount of $3,674.84.

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The complete question is:

An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying

Swing Set

Wholesale Price ($)

Adventurers 3,056

Thunder Ridge 4,125

The markup for both swing sets is 20 1/4%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they

are buying? Round to the nearest cent if necessary,

Answer:

it has to be the 4 one I did this question before

The expression is 6 times 1 equals 6/6 + 2 = 8

Expression:

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Let's say P is worth 1

9 times 1 equals 9

3 times 1 equals 3

9 - 3 = 6

6 + 2 = 8

So the expression equivalent to 9p minus 3p 2 is 8.

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For many hotels, including the Grand Hotel Toplice, the price of a room will fluctuate depending on  the time of year. Option B

The rates of hotel rooms tend to fluctuate depending on the demand during different seasons and times of high travel activity.

Hotels have a tendency to increase their room rates during peak tourist seasons or notable holiday periods, namely summer vacations or significant local events.

During times when there is less demand or fewer guests, prices may be decreased in order to entice visitors. The demand for hotel rooms and subsequent price changes can be impacted by factors such as climate, nearby activities, and cultural festivities specific to certain periods.

Generally, the room rates at hotels are not directly influenced by additional elements like the individual's gender, nationality, or the time of day.

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Interpreting a p-value in the context of a word problem involves understanding its significance and its relationship to the hypothesis being tested.

The p-value represents the probability of obtaining the observed data (or more extreme) if the null hypothesis is true.

Here are a few examples of interpreting p-values in different scenarios:

1. Hypothesis Testing Example:

Suppose you are conducting a study to test whether a new drug is effective in reducing blood pressure.

The null hypothesis (H0) states that the drug has no effect, while the alternative hypothesis (Ha) states that the drug does have an effect.

After conducting the study, you calculate a p-value of 0.02.

Interpretation: The p-value of 0.02 indicates that if the null hypothesis (no effect) is true, there is a 2% chance of observing the data (or more extreme) that you obtained.

Since this p-value is below the conventional significance level of 0.05, you would reject the null hypothesis and conclude that there is evidence to support the effectiveness of the drug in reducing blood pressure.

2. Acceptance Region Example:

Consider a manufacturing process that produces light bulbs, and the company claims that the defect rate is less than 5%.

To test this claim, a sample of 200 light bulbs is taken, and 14 of them are found to be defective.

The hypothesis test yields a p-value of 0.12.

Interpretation: The p-value of 0.12 indicates that if the true defect rate is less than 5%, there is a 12% chance of obtaining a sample with 14 or more defective light bulbs.

Since this p-value is greater than the significance level of 0.05, you would fail to reject the null hypothesis.

There is not enough evidence to conclude that the defect rate is different from the claimed value of less than 5%.

3. Correlation Example:

Suppose you are analyzing the relationship between study time and exam scores.

You calculate the correlation coefficient and obtain a p-value of 0.001.

Interpretation: The p-value of 0.001 indicates that if there is truly no correlation between study time and exam scores in the population, there is only a 0.1% chance of obtaining a sample with the observed correlation coefficient.

This p-value is very low, suggesting strong evidence of a significant correlation between study time and exam scores.

In all these examples, the p-value is used to assess the strength of evidence against the null hypothesis.

It helps determine whether the observed data supports or contradicts the hypothesis being tested.

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Answer:

20

Step-by-step explanation:

2^3=8

8+12=20

I hope this helps.

We would need a sample size of at least 26 to detect a true mean of 3.85 with a power of at least 0.9. We can calculate it in the following manner.

(a) To test the hypothesis H0: μ = 3 versus H1: μ ≠ 3, we can use a t-test with 14 degrees of freedom since n = 15. The test statistic is:

t = (X - μ) / (s / √n) = (2.78 - 3) / (0.9 / √15) = -1.58

Using a t-distribution table with 14 degrees of freedom and a significance level of 0.05, we find that the critical values are ±2.145. Since |-1.58| < 2.145, we fail to reject the null hypothesis at the 0.05 level of significance. There is not enough evidence to conclude that the mean wear of the crankshafts is different from 3 inches.

(b) To find the power of the test, we need to specify the alternative hypothesis and the significance level. Let's assume that we want to test H0: μ = 3 versus H1: μ ≠ 3 at the 0.05 level of significance.

When μ = 3.25, the test statistic is:

t = (X - μ) / (s / √n) = (2.78 - 3.25) / (0.9 / √15) = -2.43

Using a t-distribution table with 14 degrees of freedom and a significance level of 0.05, we find that the critical values are ±2.145. Since |-2.43| > 2.145, we reject the null hypothesis at the 0.05 level of significance. The power of the test is the probability of rejecting the null hypothesis when the true mean is 3.25. This can be calculated using the t-distribution with 14 degrees of freedom and the non-centrality parameter δ = (3.25 - 3) / (0.9 / √15) = 1.23:

power = 1 - tcdf(2.145, -2.145, 14, 1.23) = 0.53

When μ = 3.75, the test statistic is:

t = (X - μ) / (s / √n) = (2.78 - 3.75) / (0.9 / √15) = -4.53

Using a t-distribution table with 14 degrees of freedom and a significance level of 0.05, we find that the critical values are ±2.145. Since |-4.53| > 2.145, we reject the null hypothesis at the 0.05 level of significance. The power of the test is the probability of rejecting the null hypothesis when the true mean is 3.75. This can be calculated using the t-distribution with 14 degrees of freedom and the non-centrality parameter δ = (3.75 - 3) / (0.9 / √15) = 2.95:

power = 1 - tcdf(2.145, -2.145, 14, 2.95) = 0.92

The power of the test is higher when the true mean is further away from the null hypothesis mean. In this case, the power increases from 0.53 to 0.92 when the true mean changes from 3.25 to 3.75.

(c) To detect a true mean of 3.85 with a power of at least 0.9, we need to find the required sample size. We can use the formula for sample size calculation for a one-sample t-test:

n = (Zα/2 + Zβ)2 σ2 / (μ0 - μ1)2

where Zα/2 is the critical value of the standard normal distribution corresponding to the desired significance level, Zβ is the critical value of the standard normal distribution corresponding to the desired power, σ is the known population standard deviation, and μ0 and μ1 are the null and alternative hypotheses, respectively.

Plugging in the values, we get:

n = (1.645 + 1.282)2 (0.9)2 / (3 - 3.85)2 = 25.9

Rounding up to the nearest integer, we get the required sample size as 26. Therefore, we would need a sample size of at least 26 to detect a true mean of 3.85 with a power of at least 0.9.

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Answer:

a) linked a screenshot of the graph.

b) when y=1 x=.5

Step-by-step explanation:

4 is the slope, which makes the graph angle different. Starting at the origin (0,0) if you go over 1 and up 4 that is how you can draw the slope on a graph.

-1 makes the line go to the right 1 time so instead of the graph being on the origin (0,0) it will be placed on the coordinate points of (1,0)

To find the x value. Find 1 on the y-axis of the line graph. Go to the right to find where the line intersects. After you find that go straight down to find the x-value (0.5)

Answer:

1249+592=1843, rounding that you get B, 1,800

The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

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The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

Answer:

a= 12

b=-2

Step-by-step explanation:

12 x -2 = -24

12 - (-2) = 14

12 + (-2) = 10

The two integers are 12 and -2.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Let x and y be the two integers.

So it is given that,

Product of two integers =  – 24

⇒ xy = - 24   ....(i)

The difference between the two integers =  14

⇒ x - y = 14  ...(ii)

The sum of the two integers = 10

⇒ x + y = 10     ....(iii)

Now adding equation (ii) and (iii) we get,

2x = 24

⇒ x = 12

Putting the value of x in equation (i) we get,

12y = - 24

⇒ y = - 2

So the required integers are 12 and - 2.

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30 and 70 for the other side

a) The actual distance between towns K and L is: 100 km

b) As shown in the attached file

c) The bearing of town L from town K is 117 degrees.

The scale of the map is given as:

1 cm to represent 50 km

Now, when we measure the distance between K and L on the map, we see that it gives us a distance of 2 cm.

Using the scale of 1 cm: 50 km, we can say that:

Actual distance between towns K and L = (2 * 50)/1 = 100 km

b) Using a compass and it’s 3cm aiming down {South} as seen in the attached photo. Then a line was drawn aiming {South} with a ruler. On the end of the line the (x) point was put there to get the mark.

c) Measuring the angle gives the bearing of town L from town K which is 117 degrees.

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Answer:

  B. at an x–intercept

Step-by-step explanation:

You can find a graph of the sine function in numerous places.

  y = sin(0) = 0

  y = 0 for x = 0

so, on the given interval, it starts at an x-intercept.

The probability that the average time of 16 reviews will take Yoonie from 3.5 to 4.25 hours is 0.022. This probability was calculated using the probability density functions of the normal distribution, which requires finding the mean and standard deviation of the distribution and standardizing the range of values.

To calculate this probability, we need to first find the mean and standard deviation of the distribution. The mean of the distribution is the expected value of the average time for 16 reviews, which is (16 * 4.25 + 16 * 3.5) / 2 = 60 hours.

The standard deviation of the distribution is the square root of the sum of the variances of the two normal distributions, which is sqrt(16 * 0.75^2 + 16 * 0.75^2) = 3 hours.

Next, we need to standardize the range of 3.5 to 4.25 hours using the formula: (x - mean) / standard deviation. Plugging in the values, we get (4.25 - 3.75) / 3 = 0.1667.

Using a standard normal distribution table or calculator, we can find the probability of a value being less than 0.1667, which is 0.5724. However, since we want the probability of the value being within the range of 3.5 to 4.25 hours, we need to subtract the probability of a value being less than 3.5 hours from the probability of a value being less than 4.25 hours. This gives us a probability of 0.022, or 2.2%.

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