how to work out 1/2 of 53

Answer:

x = 10 and

\(y = 2 \sqrt{29} \)

Step-by-step explanation:

see the explanation in attachment.

Answer:

Answer = -15.6

Step-by-step explanation:

1. -6(-5.2) = 31.2

2. 31.2(-0.5) = -15.6

Answer:

c) 27.9

Step-by-step explanation:

Since MN is the midsegment ,

MN = (AB + CD)/2

21.1 = (AB + 14.3)/2

21.1*2 = AB + 14.2

AB = 42.2 - 14.2

AB = 27.9

Answer:

C

Step-by-step explanation:

the midsegment is equal to half the sum of the parallel bases, that is

\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )

\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )

AB + 14.3 = 42.2 ( subtract 14.3 from both sides )

AB = 27.9 cm

Answer:

3.5

Step-by-step explanation:

1 x 2 = 2

2 x 6 = 12

3 x 4 = 12

4 x 1 = 4

5 x 2 = 10

6 x 5 = 30

1+1+2+2+2+2+2+2+3+3+3+3+4+5+5+6+6+6+6+6 = 70

70 / 20 = 3.5

The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.

Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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The conclusions drawn from the CNN website's interactive poll regarding Herman Cain's potential voter base only apply to the population of readers who participated in the poll, emphasizing the importance of understanding the population of interest when interpreting statistical results.

The conclusions regarding Herman Cain's potential voter base apply only to the population of readers who participated in the CNN website's interactive poll in October 2011. The statistics student used the poll data to estimate the proportion of voters who would consider voting for Cain, as well as to conduct a hypothesis test.

The 95% confidence interval and hypothesis test results are not generalizable to other populations or situations. Thus, it is essential to understand the population of interest when interpreting statistical results, as conclusions based on a specific sample may not hold true for other populations.

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Ginny had the highest score.  As Ginny's score is not compared with any of the scores, there is no further information about the exact score of Ginny and the exact scores of Aaron and Charlotte in the question.

In a positively skewed distribution of exam scores, Ginny scored at the mean, Aaron scored at the median, and Charlotte scored at the mode. Who had the highest score.Since it is a positively skewed distribution, the mean would be greater than the median, and the median would be greater than the mode. Therefore, Charlotte, who scored at the mode, had the lowest score, and Aaron, who scored at the median, had the score that is higher than Charlotte and lower than Ginny.Therefore, Ginny had the highest score. As Ginny's score is not compared with any of the scores, there is no further information about the exact score of Ginny and the exact scores of Aaron and Charlotte in the question.

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Answer:

105963

Step-by-step explanation: delta math

In 10 years, with daily compounding, $15,000 invested today at 12% will grow to a total value of approximately $52,486.32.

To calculate the future value of the investment, we can use the formula for compound interest:

Future Value = Principal × (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods × Number of Years)

In this case, the principal amount is $15,000, the interest rate is 12% (0.12 as a decimal), the number of compounding periods per year is 365 (since it's daily compounding), and the number of years is 10. Plugging these values into the formula, we can calculate the future value to be approximately $52,486.32.

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Subtraction

hope it helps you ❣❣

Answer:

Subtraction

Step-by-step explanation:

In order to move 15 from the left side of the equation to the right, you'll need to subtract both sides by 15.

In the case of a suspected myocardial infarction (MI) in a client presenting in the Emergency Department, certain medications should be administered as soon as possible to improve outcomes.

When a client presents with a suspected MI, time is of the essence in initiating appropriate treatment to minimize damage to the heart muscle and improve outcomes. The administration of aspirin is a priority as it helps prevent further blood clot formation. Aspirin inhibits platelet aggregation, reducing the risk of thrombus formation in the coronary arteries.

Nitroglycerin is another medication that should be given promptly. Nitroglycerin helps relieve chest pain by dilating coronary arteries and improving blood flow to the heart. It also helps reduce preload and afterload, thereby decreasing the workload on the heart.

In cases where the client experiences severe pain despite aspirin and nitroglycerin administration, morphine can be administered to alleviate pain and reduce anxiety. Morphine also helps dilate blood vessels, which can further improve blood flow to the heart.

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"A client presents in the Emergency Department with a suspected myocardial infarction (MI). Which medications should be given as soon as possible to improve outcomes?"

The probability of drawing the first yellow ball on the eighth draw is 1/2772.

The probability of drawing a yellow ball on the eighth draw is the probability of drawing 7 non-yellow balls followed by a yellow ball.

The probability of drawing a non-yellow ball on the first draw is 7/12 since there are 7 non-yellow balls out of a total of 12 balls in the bag. After the first non-yellow ball is drawn, there will be 6 non-yellow balls left out of a total of 11 balls. So the probability of drawing a non-yellow ball on the second draw is 6/11. Continuing in this manner, the probability of drawing 7 non-yellow balls in a row is

(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6)

Now, there are 5 yellow balls left out of a total of 5 + 7 + 3 = 15 balls. So the probability of drawing a yellow ball on the eighth draw is 5/15.

Therefore, the probability of drawing the first yellow ball on the eighth draw is

(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6) × (5/15)

Simplifying this expression, we get

(7 × 6 × 5 × 4 × 3 × 2 × 1 × 5) / (12 × 11 × 10 × 9 × 8 × 7 × 6 × 15)

which simplifies to:

1/2772

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The given question is incomplete, the complete question is:

A bag contains 3 red balls, 4 green balls, and 5 yellow balls. If balls are drawn one at a time without replacement, what is the probability that the first yellow ball is drawn on the eighth draw?

After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.

Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.

After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.

Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.

Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.

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The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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answer is idk because it is a half

The expected value of Y is mu x  (mu x²/ sigma x) and the standard deviation of Y is 1  (mu x / sigma x)| × sigma x.

The expected value and the standard deviation of Y computed using the given linear transformation.

The linear transformation is defined as y = x  (mu x / sigma x) × x

To find the expected value of Y (E[Y]) substitute the transformation into the formula for expected value

E[Y] = E[x  (mu x / sigma x) × x]

Since the expected value is a linear operator split it into two parts

E[Y] = E[x]  (mu x / sigma-x) × E[x]

The first part E[x]  is simply the mean of the random variable x which is mu-x.

E[Y] = mu x - (mu x / sigma x) × mu-x

Simplifying further

E[Y] = mu x  (mu x² / sigma x)

The standard deviation of Y (sigma Y), the formula for the standard deviation of a linear transformation

sigma Y = |1  (mu x / sigma x)| × sigma x

Substituting the given transformation

sigma Y = |1  (mu x / sigma x)| × sigma x

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The measure of the angle N is equal to  110 degrees

What is a parallelogram?

A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.

Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.

we know that

In a parallelogram opposite angles are congruent and consecutive angles are supplementary.

So

m∠O=m∠M

m∠L=m∠N

m∠O+m∠L= 180

Step

Find the value of x

(x+20)+(2x+10)=180

3x=150

x=150/3 = 50 degrees

Step

Find the value of angle L

m∠L = 2x+10

m∠L=2*50+10

m∠L=110 degrees

Remember that

m∠N=m∠L = 110 degrees

m∠N= 110 degrees

therefore

the answer is

the measure of the angle N is equal to  110 degrees

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Answer:

D

Step-by-step explanation:

First, you count the total number of windows. That's 25. Then you count the number of widows with their lights off. That's 15. After this, you divide 15 by 25 to get the percent of the windows turned off. :)

A function is a relation between sets where for each input, there is exactly one output.

A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences.

The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

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The surface area of the cone formed when a segment L of the line y = ha is rotated about the y-axis can be shown to be rs, where r is the distance from the y-axis to the point (r, h).

To find the surface area of the cone, we can use the integral for surface area, which is given by the formula:

A = 2π∫ y ds

In this case, the function y = ha represents the height of the cone at each point along the segment L. The length of the segment L is the slant height of the cone, denoted as s.

We can express ds, the infinitesimal arc length, in terms of dy, the infinitesimal change in y, using the Pythagorean theorem:

ds = √(1 + (dy/dx)²) dx

Since dx = 0 when rotating about the y-axis, we can simplify the integral to:

A = 2π∫ y √(1 + (dy/dx)²) dx

Substituting y = ha and simplifying, we get:

A = 2π∫ (ha) √(1 + (dy/dx)²) dx

To find the integral limits, we consider that when x = 0, y = 0 (origin) and when x = r, y = h (point on the line). Therefore, the integral becomes:

A = 2π∫₀ʳ (ha) √(1 + (dy/dx)²) dx

By recognizing that dy/dx = h/a, we can simplify the integral further:

A = 2π∫₀ʳ h²/a √(1 + (h/a)²) dx

Simplifying and evaluating the integral, we get:

A = 2π h²/a ∫₀ʳ √(1 + (h/a)²) dx = 2π h²/a [x + (h/a) arcsinh(x/h)] from 0 to r

Evaluating the limits, we obtain:

A = 2π h²/a [r + (h/a) arcsinh(r/h)]

Since s = h, we can rewrite the expression as:

A = 2π rs

Therefore, the surface area of the cone is given by rs, where r is the distance from the y-axis to the point (r, h), and s is the slant height of the cone.

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There is no valid solution. This implies that the information provided is contradictory or inconsistent. Therefore, we cannot determine the maximum number of staff members in the school based on the given information.

To find the maximum number of staff in the school, we need to determine the number of female staff members. We are given that the principal distributed 90 bangles and 108 sweets to the female staff members, including herself. Let's denote the number of female staff members (excluding the principal) as F.

We can set up the following equations based on the information given:

The number of bangles distributed to female staff members is 90.

The number of sweets distributed to female staff members is 108.

The total number of staff members, including both female and male staff members, is F + 1 (including the principal) + 20 (male staff members).

From equation 1, we have:

90 = F

From equation 2, we have:

108 = F

Since both equations 1 and 2 are equal to F, we can equate them:

90 = 108

This equation is not true.

It's important to note that if the given information was consistent and solvable, we could find the maximum number of staff members by summing the number of female staff members (F), the principal (1), and the male staff members (20)

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Answer:

ps and qr is parellel so the 70°and x is co interior angles.

so, our equation will be look like .

70°+x=180°

x=180°-70°

x=110°

The sides PS and QR are parallel for x = 110°

Option 4 is correct.

The pair of non-adjacent interior angles that are on the same side of the transversal are referred to as consecutive internal angles.The term "consecutive" describes events that take place side by side.

As per the given data:

PQRS is a quadrilateral with sides PS and QR parallel.

∠P = 70°

∠Q = x°

∠S = 112°

For sides PS and QR to be parallel:

∠Q + ∠P = 180° {Co-interior angles on the same side of the transversal}

x° + 70° = 180°

x = 110°

Hence, sides PS and QR are parallel for x = 110°

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If the variance of a probability distribution is computed to be 4.8 grams, the standard deviation would be approximately 2.2 grams.

The standard deviation is the square root of the variance. In this case, the given variance is 4.8 grams. To find the standard deviation, we take the square root of the variance.

Using the formula, we have standard deviation = √variance. Plugging in the value of the variance, we get standard deviation = √4.8 ≈ 2.2 grams.

Therefore, the standard deviation of the probability distribution is approximately 2.2 grams, which corresponds to option b.

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Answer:

D

Step-by-step explanation:

Since James gave Malcolm a head start of 20 feet, Malcolm's line should start at 20 feet. So that rules out A. They were obviously going further so they went more feet, So C is ruled out because it shows them not moving, plus James didn't get a 15 foot head start which is what the C graph shows. Finally it's not B because if you look at the key at the bottom of every graph, it says that Malcolm is the dotted line, and B shows James getting a 20 foot head start, not Malcolm.

Hope this helps!

We can use the distributive property to find an expression equivalent to 15(x+2) as 15x + 30.

The given equation is 15(x+2).

The distributive property can be used on the component outside of the brackets, that is 15.

Therefore, we would multiply 15 by each term inside the rounded brackets.

It becomes, 15 times x = 15x and 15 times 2 = 30

That is, 15*(x+2) = 15* x +15* 2 = 15x + 30

Hence, the equation 15(x+2) becomes 15x + 30.

By using the distributive property, expression equivalent to 15(x+2) is 15x + 30

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The ratio for tanx is 7/24.

To find the ratio for tanx, we need to use the given values of sinx and cosx.

The formula for tanx is:
tanx = sinx / cosx
Given, sinx = 7/25 and cosx = 24/25.
Now, let's substitute these values in the formula:
tanx = (7/25) / (24/25)
To divide these fractions, multiply the first fraction by the reciprocal of the second fraction:
tanx = (7/25) * (25/24)
Now, simplify the fractions:
tanx = (7 * 25) / (25 * 24)
The 25 in the numerator and denominator will cancel out:
tanx = 7 / 24.

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The distance from Gladville to Columbus is 144 miles.

The scale of map B is (3.4 cm) / (6.8 cm) = 1/2 that of map A.

Then the distance (d) between the cities is:

= (1.8 cm)/d = (1/2)·(1 cm) / (40 mi)

Multiplying by d·80 mi, we get

 144 mi·cm = d cm

Dividing by cm, we have ...

 144 mi = d

The distance from Gladville to Columbus is 144 miles.

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Answer:

0.013

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Given n = 6, p = 0.69, and r = 0 or 1:

P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹

P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵

P = 0.013

Answer: B

Step-by-step explanation:

hope this helps x have a great friday :)

Answer:

48

Step-by-step explanation:

Since a square have 4 equal sides, therefore

12 x 4 = 48

Answer:

12*4

Step-by-step explanation:

48 is the answer

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