There are 340 calories in five ounces of a certain ice cream. How many calories are there in three pounds?

There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.

To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.

So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?

Answer:

144

Step-by-step explanation:

i just did the test

Answer: p(-4= -255

Step-by-step explanation:

p(x)=3x3-2x2+6x-4 The remainder theorem states that when we divide a polynoical          hope this helps

Put -3

\(\\ \rm\longmapsto -2(-3)^4+6(-3)^2+3+1\)

\(\\ \rm\longmapsto -2(81)+6(9)+4\)

\(\\ \rm\longmapsto -162+58\)

\(\\ \rm\longmapsto -104\)

The value of an excel formula that will square this number is,

⇒ N²

We have to given that;

A number is stored in cell a1.

Hence, We can formulate;

Type = N² into the empty cell, in which N is a cell reference that contains the numeric value you want to square.

And, We also get;

To display the square of the value in cell A1 into cell B1,

We can type = A1² into cell B1.

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Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

2

Step-by-step explanation:

64x64=4096

So its 64^2=4096

Answer:

x=2

Step-by-step explanation:

Given: 64ˣ=4096

Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)

Final answer: x=2

Answer:

n=1

Step-by-step explanation:

Let's solve your equation step-by-step.

−9n−1=−10n

Answer:

n = -1

Step-by-step explanation:

-9n - 1 = -10n

+9n        +9n

-1 = n

The boundary lines are y > -3x + 4: dotted line and  y <= 8x + 1: solid line

From the question, we have the following parameters that can be used in our computation:

y > -3x + 4

y <= 8x + 1

The boundary line for the inequality "<" is a dotted line, which means that the endpoint is not included in the solution set.

The boundary line for the inequality ">=" is a solid line, which means that the endpoint is included in the solution set.

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The coefficient of determination is 0.233, then 23.3% of the variation in the data about the regression line is explained.

The coefficient of determination, represented by R2, is a measure of how much of the variation in the data is explained by the regression line. It is calculated by squaring the correlation coefficient, R.

If the coefficient of determination is 0.233, then the percentage of the variation in the data about the regression line that is explained is 23.3%. This is calculated by multiplying the coefficient of determination by 100 to convert it to a percentage.

In other words, 23.3% of the variation in the data is explained by the regression line, and the remaining 76.7% of the variation is unexplained.

It is important to note that the coefficient of determination does not indicate causation, but rather the strength of the relationship between the independent and dependent variables.

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Complete question is below

if the coefficient of determination is 0.233, what percentage of the variation in the data about the regression line is explained?

The percentage of variation explained by the regression line is measured by the coefficient of determination (R-squared).

In regression analysis, the coefficient of determination (R-squared) is used to measure the percentage of variation in the dependent variable that is explained by the regression line.

R-squared ranges from 0 to 1, where 0 indicates that the regression line explains none of the variation and 1 indicates that the regression line explains all of the variation. It is a measure of how well the regression line fits the data points.

For example, if the R-squared value is 0.75, it means that 75% of the variation in the dependent variable is explained by the regression line, while the remaining 25% is unexplained.

Therefore, the percentage of variation explained by the regression line can be determined by the R-squared value.

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Answer:

B

Step-by-step explanation:

if its less than 1 it shrinks

The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

If a polygon is dilated by a scale factor = k

Rule to be followed as;

(x, y) → (kx, ky)

Here, k = Scale factor

If 0 < k < 1, size of the image will be reduced.

Similarly, k > 1, size of the image will be enlarged.

We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.

Rule used for the transformation,

(x, y) → (1/4x, 1/4y)

Here, the scale factor through which MNPQR has been dilated is 1/4.

Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.

Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.

Option (2) is the answer.

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The standard error of the mean is approximately $115.63.

The standard error of the mean (SEM) measures the variability or uncertainty in the sample mean compared to the true population mean. It indicates the average amount that the sample mean differs from the population mean.

To calculate the standard error of the mean, we use the formula:

SEM = σ / √n

Where:

SEM: Standard error of the mean

σ: Population standard deviation

n: Sample size

Given information:

Population standard deviation (σ) = $1,850.00

Sample size (n) = 256

Plugging in the values into the formula, we can calculate the standard error of the mean:

SEM = 1850 / √256

To simplify the calculation, let's first calculate the square root of 256:

√256 = 16

Now, we can divide the population standard deviation by the square root of the sample size:

SEM = 1850 / 16

Simplifying the fraction, we have:

SEM = 115.625

Therefore, the standard error of the mean is approximately $115.63.

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Answer:

y= 1.8955223

Step-by-step explanation:

The 90% confidence interval for the average number of hours worked per shift by ER nurses in the population is 12.5 to 13.1 hours.

a. The appropriate distribution to use to construct a confidence interval based on this research is the t-distribution.

b. To construct a 90% confidence interval, we can use the following formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √(Sample Size))

First, we need to find the critical value from the t-distribution table or calculator. Since the sample size is 25, the degrees of freedom would be 25 - 1 = 24. For a 90% confidence level and 24 degrees of freedom, the critical value is approximately 1.711.

Now we can calculate the confidence interval:

Confidence Interval = 12.8 ± (1.711) * (0.8 / √(25))

Confidence Interval = 12.8 ± (1.711) * (0.8 / 5)

Confidence Interval = 12.8 ± (1.711) * 0.16

Confidence Interval = 12.8 ± 0.274

Rounding to one decimal place:

Lower bound = 12.8 - 0.274 = 12.5

Upper bound = 12.8 + 0.274 = 13.1

Therefore, the 90% confidence interval for the average number of hours worked per shift by ER nurses in the population is 12.5 to 13.1 hours.

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The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

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Answer:

Step-by-step explanation:

The sides are 3, 5, and 7 because 7 is less than 3 + 5, so it equals a triangle.

The smallest possible perimeter of such triangle would be 8.

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

\((a+b) > c\\(b+c) > a\\(c+a) > b\)

Given; 3 sides of the triangle are consecutive odd numbers.

The sides are 3, 5, and 7 because 7 is less than 3 + 5 so it equals a triangle.

The smallest consecutive odd numbers are 1, 3 and 5

Therefore, the smallest possible perimeter of such triangle = 8

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Using a system of equations, we have that:

1. The table is completed on the image given at the end of the answer.

2. The equation is: 35w + 25t = 1600.

A system of equations is a set of equations in the context of a problem, and solving these equations, the numeric value of each variable in the context of the problem is found.

The variables in this problem are defined as follows:

A jug of drinking water weighs 35 pounds and a case of paper towels weighs 25 pounds. The truck can carry 1,600 pounds of cargo altogether. Hence the equation is:

35w + 25t = 1600.

When w = 10, the numeric value of t is obtained as follows:

35(10) + 25t = 1600

t = (1600 - 350)/25

t = 50.

When w = 30, the numeric value of t is obtained as follows:

35(30) + 25t = 1600

t = (1600 - 1050)/25

t = 22.

When t = 8, the numeric value of w is obtained as follows:

35w + 25(8) = 1600

w = 1400/35

w = 40.

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Answer:

720+810=1530

Step-by-step explanation:

Answer:

-6/15

Step-by-step explanation:

y2-y1/x1-y1

-1-5/8+-7=-6/15

Answer:

45

Step-by-step explanation:

∡L ≅ ∡M, given  

ΔKLM is isosceles because base angles are congruent

KM ≅ KL and KM = KL

KL = 12

∡K =∡J = 60°, given

∡M = 180 -60 -60 , because sum of angles in a Δ is equal to 180°

∡M = 60

∡K =∡J =∡M =  60°

ΔKJM is is equilateral because all angles have the same measure.

KM = 12

KM = KJ = JM = 12 because the triangle is equilateral so all sides are equal

ML = 9, given

The perimeter of JKLM is the sum of the sides

P = ML +KL +KJ +MJ

P = 9 + 12 + 12 +12 = 9 +36 = 45

Statistics report that the average successful quitter is able to stop smoking after multiple attempts, usually between 8 to 10 times.  everyone's journey to quitting smoking is unique and may take more or fewer attempts to achieve success.

According to statistics, the average successful quitter is able to stop smoking after attempting to quit 6 to 30 times. This number varies due to individual factors and the methods used for quitting. Remember, persistence is key, and it is never too late to quit smoking for a healthier lifestyle.

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The actual rated value of the capacitor is 0.47 uF (option b). So, the correct option is B.

The label code "2A474" can be decoded using the following formula: the first two digits represent the capacitance value in picoFarads (pF), the third digit represents the multiplier (number of zeros to add to the capacitance value), and the last digit represents the tolerance (in this case, 4%).

Applying this formula, we get 2A474 = 2 and A = 47, which gives us a capacitance value of 247 pF or 0.247 nF. Multiplying this by the multiplier of 100 (as there are two zeros in the multiplier) gives us a value of 0.0247 uF, which is closer to option b (0.47 uF) than any other option. Therefore, the answer is option b - 0.47 uF.

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Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer:

x = 6

Step-by-step explanation:

this figure involves two triangle and one rectangle

for area of rectangle= Length * Width = 16 * 8 = 128 feet^2

for area of one triangle = 1/2 * base * height = 1/2 * x *8 = 4x

for two triangles = 8x ft^2 total

whole area = two triangles + one rectangle

176 = 8x + 128

8x =48

x = 6

A null hypothesis, which is used as the starting point for testing a hypothesis, states that there is no link between two measurable occurrences. An experiment's design uses an experimental hypothesis, which is a claim that specifies the relationship between two measurable events.

A claim or hypothesis known as a null hypothesis implies that no statistical significance can be found in a particular collection of observations. It is typically employed in statistical tests to ascertain if an experiment's outcomes are the result of chance or an underlying factor.

An experimental hypothesis is a claim that suggests a potential explanation for a phenomenon that has been observed or makes a prediction about how an experiment might turn out. It is typically used in experiments to make predictions about what the experiment will reveal.

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Answer:

In the picture.

34 ft.

The length of the base will be equal to 65.99 centimeters.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The formula for the Pythagorean theorem is given below:-

H² = B² + P²

Given that in a right triangle if the hypotenuse is 70 cm and the shorter leg is one-third the length of the longer leg.

P = 70/ 3 cm

H = 70 cm

The value of the leg will be calculated as:-

H² = B² + P²

70² = B² + (70/3)²

B² = 70² -  (70/3)²

B = √4355

B = 65.99 cm

Therefore, the length of the base will be equal to 65.99 centimeters.

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Answer:

Step-by-step explanation:

The angle across from side x is also 27°.

Alternate interior angles are formed by the 2 parallel  lines and they are congruent.

Use sin ratio - opposite/hypotenuse.

sin 27° = x/540

.4539905 = x/540

Mulitiply both sides by 540

(540)(.4539905) = x/540 × 540/1

245.154 = x

Answer:

I think it is D I'm not sure

Step-by-step explanation:

If two angle and one ️ are congruent to two angles of a second ️ and also if the included sides are congruent, then the ️ are congruent. If in ️ PRQ and TUV, angle P=angle T, angle R=angle and PR=TU, then triangles PRQ is congruent to triangle TUV