If a =(9,18) and b=(1,12) what is the length of ab

Out of those who took the exam, 3/5 passed. So, 100 * 3/5 = 60 is the number of students passed the exam. Therefore, the correct answer is: c ) 60.

To solve this problem, we'll follow these steps:

Step 1: Determine the number of nursing students who were required to take the exam.

Since 1/2 of the nursing students were required to take the exam, we calculate: (1/2) * 200 = 100.

Step 2: Determine the number of students who took the exam.

Since all of the students who were required to take the exam actually took it, the number of students who took the exam is also 100.

Step 3: Determine the number of students who passed the exam.

Since 3/5 of those who took the exam passed, we calculate: (3/5) * 100 = 60.

University X required 1/2 of the 200 nursing students to take the exam, which means 200 * 1/2 = 100 students took the exam.

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Answer:

3

Step-by-step explanation:

3x22.75=68.25 or less than the yearly pass

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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Answer:

1^-2

Step-by-step explanation:

1/2*1/2=1/4=1/2^2=1^-2

Answer:

2 ^-2

Step-by-step explanation:

Edmentum

The Hypothesis testing enables us to determine whether the sample evidence is inconsistent  with what is hypothesized under the null hypothesis.

According to the statement

we have to find that the the given sample is applicable for the null hypothesis or not.

So, For this purpose, we know that the

Inconsistent hypothesis is a the estimate needs to correspond with a small p value for all values in the hypothesized set of values.

So, under this hypothesis we find that the given data or sample is inconsistent under the null hypothesis. it means that the the data give the correct value of the p rather than wrong value of p under null hypothesis.

That's why, Hypothesis testing enables us to determine whether the sample evidence is inconsistent  with what is hypothesized under the null hypothesis.

So, The Hypothesis testing enables us to determine whether the sample evidence is inconsistent  with what is hypothesized under the null hypothesis.

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Answer:

y=-1x+3

Step-by-step explanation:

The value of the unknown should be set at 5 so that 98 of 6- oz. mugs won't overflow is A)5.18.

Given data

A soft- drink machine can be regulated so that it discharges an normal of? oz. per mug. The ounces of filler are typically distributed with a standard divagation of0.4 oz.

What value should be set at so that 98 of 6- oz. mugs won't overflow?

Let μ be the mean ounces of filler per mug.

μ can be attained by using the formula

μ = 6 oz. = 6/8 = 0.75 mugs.

Now, given σ = 0.4 oz.

The Z- score for a 6- oz mug can be calculated as follows

z = ( x- μ)/ σ

Then, x = 6 oz = 6/8 = 0.75 mugs.

μ = 0.75 mugs

σ = 0.4 oz.

z = (0.75-0.75)/0.4 = 0

For 98 of 6- oz mugs to not overflow, we need to find the value of μ similar that P( z Since the Normal distribution is symmetric about the mean, we have

P( 0< z We can look up the value of

z_score for P( 0< z

standard normal distribution table or use the inverse function on a calculator similar as Excel.

Using a table, we get the value ofz_score = 2.33.

Now, z = ( x- μ)/ σ2.33 = (0.75- μ)/0.4

μ = 0.75-0.4 ×2.33

μ = 0.75-0.932

μ = -0.182 oz.6 oz in terms of ounces = 6 *0.125 = 0.75 oz.

oz per mug in terms of ounces = ? *0.125 oz.

Using the values from above

μ = -0.1820.75 = 0.568 oz. ≈0.57 oz.

= 0.57/0.125 = 4.56 or 5

So, the value of the unknown should be set at 5 so that 98 of 6- oz. mugs won't overflow is A)5.18.

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Answer:

1.88

Step-by-step explanation:

Answer:

x = -55

Step-by-step explanation:

Subtract 7 on both sides first to get to this equation, x/5 = -11.  Since there is a fraction on the left side, you have to multiply 5 on both sides to get your x-value which is -55.

Answer:

The price of each latte was $4.5.

Step-by-step explanation:

6x + 18 = 45

6x = 45 - 18

6x = 27

x = 27/6

x = 4.5

The variable represents the cost of each latte.

To determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs, we need to consider the time taken by each person to complete each job. Using the given Table 50, we can analyze the data and identify the optimal assignment.

By examining Table 50, we can identify the minimum time taken by each person for each job. Starting with Job 1, we see that Person 4 takes the least time of 16 hours. Moving to Job 2, Person 2 takes the least time of 18 hours. For Job 3, Person 1 takes the least time of 25 hours. Lastly, for Job 4, Person 4 takes the least time of 14 hours.

Therefore, the optimal assignment would be:

- Person 4 for Job 1 (16 hours)

- Person 2 for Job 2 (18 hours)

- Person 1 for Job 3 (25 hours)

- Person 4 for Job 4 (14 hours)

This assignment ensures that the minimum total time is required to perform the four jobs, resulting in a total time of 16 + 18 + 25 + 14 = 73 hours.

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The recursive formula for the given problem is W(n) = W(n-1) + 2 * W(n-1), with the base case W(0) = 1. This formula calculates the number of n-letter "words" that can be created from an unlimited supply of 'a's, 'b's, and 'c's,

To derive the recursive formula, we consider two cases for the first letter of the word: either it is an 'a' or it is not. If the first letter is 'a', we need to ensure that the remaining (n-1) letters form a word with an even number of 'a's. Therefore, the number of words in this case is equal to W(n-1), as we are recursively solving for the remaining letters.

If the first letter is not 'a', we have the freedom to ch

oose from 'b' or 'c'. In this case, we have two options for each of the remaining (n-1) letters, resulting in 2 * W(n-1) possibilities. By summing these two cases, we obtain the recursive formula W(n) = W(n-1) + 2 * W(n-1), which calculates the total number of n-letter words satisfying the given criteria.

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The simple event among the given options is "You get exactly 1 head."

Probability can be defined as the measure of the likelihood of a particular event occurring. Probability ranges between 0 and 1,

The sample space is a set of all possible outcomes of an experiment. In this case, the sample space for flipping a coin 3 times is (HHH, HHT, HTH, THH, HTT, THT, TTH, TTT).

Now the probability of each event by dividing the number of favorable outcomes by the total number of possible outcomes.

A simple event is one that consists of only one outcome. Out of the given options, the only simple event is "You get exactly 1 head," which has the favorable outcome

Therefore, the probability of getting exactly one head is:

P(exactly 1 head) = Number of favorable outcomes / Total number of possible outcomes

P(exactly 1 head) = 3 / 8

P(exactly 1 head) = 0.375 or 37.5%

Thus, the correct answer is: You get exactly 1 head.

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Given the following question:

Foil method:

Your answer using the foil method is 6x^2 + 14x - 12

The slope and y-intercept are 4.5 and 25 respectively.

A graph of the equation for the total shipping charges is shown below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided about this freight company, the total shipping charges are given by;

C = 4.5n + 25

By comparison, we have the following:

Slope, m = 4.5.

y-intercept = 25.

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The height that will minimize the amount of tin required to construct the can is approximately 3.9909 inches.

To find the height that will minimize the amount of tin required to construct a cylindrical can with a closed top, we need to use the formula for the volume of a cylinder:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

We are given that the volume of the can is 100 cubic inches, so we can write:

100 = πr^2h

Solving for h, we get:

h = 100/(πr^2)

To minimize the amount of tin required to construct the can, we need to minimize its surface area. The surface area of a closed cylindrical can is given by:

A = 2πrh + 2πr^2

Substituting our expression for h in terms of r into this formula, we get:

A = 2πr(100/(πr^2)) + 2πr^2

A = 200/r + 2πr^2

To find the value of r that minimizes A, we take the derivative of A with respect to r and set it equal to zero:

dA/dr = -200/r^2 + 4πr = 0

4πr = 200/r^2

r^3 = 50/π

r ≈ 2.6207

Substituting this value of r back into our expression for h, we get:

h = 100/(π(2.6207)^2)

h ≈ 3.9909

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Let x represent the number of pints of the first fruit juice required.

Let y represent the number of pints of the second fruit juice required.

Since the company wants to make a 90 pints mixture from pints of both drinks, it means that

x + y = 90

First drink is 20% pure fruit juice. This means that the concentration of x pints of First drink is 20/100 * x = 0.2x

Second drink is 95% pure fruit juice. This means that the concentration of y pints of Second drink is 95/100 * y = 0.95y

If the company wants to produce a mixture of 90 pints that contains 80% fruit juice, then its concentration is 80/100 * 90 = 72

Recall, concentration in first drink + concentration in second drink = concentration in mixture

Thus,

0.2x + 0.95y = 72

From the first equation, x = 90 - y

By substituting x = 90 - y into 0.2x + 0.95y = 72, we have

0.2(90 - y) + 0.95y = 72

18 - 0.2y + 0.95y = 72

- 0.2y + 0.95y = 72 - 18

0.75y = 54

y = 54/0.75

y = 72

x = 90 - y = 90 - 72

x = 18

Thus,

First fruit drink = 18 pints

Second fruit drink = 72 pints

a) The binomial expansion of (1+12x)^1/2 is given by:

(1+12x)^1/2 = 1^1/2 + (1/2)(1^-1/2)(12x) + (1/2)(1^-1/2)(-1/2)*(12x)^2 + ...

Binomial expression: what is it?

A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient.

The first four terms, in ascending powers of x, are:

1, (1/2)(12x), (1/8)(12x)^2, (1/16)*(12x)^3

b) To use x=1/36 in the expansion, you would substitute x=1/36 into the expansion, and keep only the terms up to x^3 (the fourth term in the expansion). This will give an approximation of the value of (1+12x)^1/2 when x=1/36.

This will be an approximation of √12 because x=1/36 corresponds to 12x = 1 and the initial value of the expansion is 1 + 12x .

We can use this approximation to approximate square root of 12 and also for other square roots by using appropriate x values.

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Answer:

true

Step-by-step explanation:

is it true? i am not sure

This box model can help you understand the concept of probability and make predictions about the likelihood of winning when betting on even numbers in roulette.

To create a box model for counting the number of times you win when betting on even numbers in roulette, you can use a box with two compartments: one for "win" and the other for "lose."
Here's how you can use the box model to count the number of wins:
1. Label one compartment as "win" and the other as "lose."
2. Since you're betting on even numbers, write "win" on half of the slips of paper and "lose" on the other half.
3. Place all the slips of paper in the box.
4. Shake the box to ensure a random selection.
5. Draw a slip of paper from the box and record the outcome. If you draw "win," consider it as a win for your bet on even numbers. If you draw "lose," consider it as a loss.
6. Repeat steps 4 and 5 until you have completed 50 trials.
7. Count the number of slips labeled "win" to find the number of times you won when betting on even numbers.
By using this box model, you can simulate the outcomes of your bets and keep track of the number of wins over the 50 trials. Remember, each trial is independent of the others, so the outcome of one trial does not affect the outcome of the next.
This box model can help you understand the concept of probability and make predictions about the likelihood of winning when betting on even numbers in roulette.

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The two numbers are 3 and -2.

A quadratic equation is a type of polynomial equation of the second degree, meaning it contains a variable that is raised to the power of 2. The general form of a quadratic equation is given by:

\(ax^2 + bx + c = 0\)

where x is the variable, a, b, and c are constants, and a is not equal to zero. The quadratic equation can be solved using the quadratic formula, which gives the two solutions for x.

The discriminant formula is a mathematical formula used to find the discriminant of a quadratic equation. The discriminant is the expression underneath the square root in the quadratic formula, and it can be used to determine the number and nature of the roots of a quadratic equation. The formula is:

\(b^2 - 4ac\)

Where a, b, and c are coefficients of the quadratic equation \(ax^2 + bx + c = 0.\)

If the discriminant is positive, then there are two real roots.

If the discriminant is zero, then there is one real root (which is also a double root).

If the discriminant is negative, then there are no real roots (but there are two complex roots).

The discriminant formula can also be used to determine if the roots are rational, irrational, or imaginary.

Now given equation is

\(n^2 + n + 6 = 0\\n^2 + 3n -2n + 6 = 0\\\n( n +3) - 2 (n+3) = 0\\\( n +3) (n-2) = 0\\\n = -3 , n=2\\\\\)

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The tree should be 22.5 feet tall in the mural.

To determine the height of the tree in the mural, we can set up a proportion based on the scale ratio between Devon's height and the height of the tree.

Let's denote the height of the tree in the mural as 'x'.

According to the given information:

Devon's actual height: 6 feet

Devon's height in the mural: 4.5 feet

Tree's actual height: 30 feet

Setting up the proportion:

(Devon's height in the mural) / (Devon's actual height) = (Tree's height in the mural) / (Tree's actual height)

Substituting the given values:

4.5 feet / 6 feet = x / 30 feet

To solve for 'x', we can cross-multiply:

4.5 feet * 30 feet = 6 feet * x

135 feet = 6x

Divide both sides by 6:

x = 135 feet / 6

Simplifying the division:

x = 22.5 feet

Therefore, in the painting, the tree should stand 22.5 feet tall.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

its b and c

bc yes

The properties of equality can be used to rewrite the equations in

simplified form.

Two equations that have the same solution as the given equation are;

Reasons:

The given equation is; 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p

Simplifying the above equation by collecting like terms gives;

2.3·p - 10.1 = 6.5·p - 0.01·p - 4 = 6.49·p - 4

Multiplication property of equality:

Both sides of an equation will remain equal, when both sides are

multiplied by the same amount.

Multiplying both sides of the original equation by 100 gives the same

solution as follows;

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

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Okay so not super crazy but one night me, my brothers, my cousin, and a few friends from our campground stayed up all night and walked in the rain. Not the crazy part though obviously. It was pouring and we got to the complete opposite side of the camp and through the woods and thought it was a good idea to go to the 'abandoned bathrooms" at like 2 in the morning. So we walked through the woods and made it there, we then found that someone boarded it up so you couldn't enter the bathrooms anymore. My older brother found a crowbar on the ground and beat the hecc out of the boys side boards until we could go in. We went in and messed around for a bit. We didn't make it home until the early hours of the morning. It was really fun and we got to scare my cousin lol

Answer:

No solutions, because it never intersects. Therefore, there is no value that would make either of the functions equal to each other.

Answer:12+13+2=27

Step-by-step explanation: pretty self-explanatory

Answer:

7 7/24

Step-by-step explanation:

first put the wholes inside the fraction:

\(1 \frac34 = \frac44 + \frac34 = \frac74\)

\(4 \frac16 = \frac{24}{6} + \frac16 = \frac{25}{6}\)

Then multiply numerator times numerator, denominator times denominator and take out wholes again:

\(\frac74 \times \frac{25}{6} = \frac{7 \times 25}{4 \times 6} = \frac{175}{24} = 7 \frac{7}{24}\)