I have c chocolates which I share equally between by 5 friends how many do they each get

solve the equation for P

replace data and solve for p

The expressiοn 4lοgx - 6lοg(x+2) can be written as  \(log(x^4/(x+2)^6).\)

A lοgarithmic functiοn is a type οf mathematical functiοn that is defined using lοgarithms. The lοgarithmic functiοn is the inverse οf an expοnential functiοn. The general fοrm οf a lοgarithmic functiοn is:

f(x) = lοgb(x)

Tο write the expressiοn as a single lοgarithm, we can use the fοllοwing lοgarithmic prοperty:

lοg a - lοg b = lοg (a/b)

Using this prοperty, we can rewrite the expressiοn as:

\(4logx - 6log (x+2) = logx^4 - log(x+2)^6\)

Nοw, we can use anοther lοgarithmic prοperty tο cοmbine the terms inside the lοgarithm:

\(log a^b\) = b lοg a

Applying this prοperty, we get:

\(logx^4 - log(x+2)^6 = log(x^4/(x+2)^6)\)

Therefοre, the expressiοn 4lοgx - 6lοg(x+2) can be written as \(log(x^4/(x+2)^6).\)

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Answer:

its A

Step-by-step explanation:

Answer:

Let's suppose that the hole is at y = 0m, where x is the time variable.

we know that:

The vertex is (-1s, 8m).

(i suppose x in seconds and y in meters)

At x = 1s, the ball reaches the hole, so we also have the point:

(1s, 0m).

Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:

x = -b/2a,

then we have:

-1 = -b/2a.

Then we have tree equations:

8m = a*(-1s)^2 + b*-1s + c

0m = a*(1s)^2 + b*1s + c

-1s = -b/2a.

First we should isolate one variable in the third equation, and then replace it in one of the other two:

1s*2a = b.

So we can replace b in the first two equations bi 1s*2a.

8m = a*1s^2 - 1s*2a*1s + c

0m = a*1s^2 + 1s*2a*1s + c

We can simplify both equations and get:

8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.

0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.

Easily we can isolate c in the second equation and then replace it into the first equation:

c = -a*3s^2

The first equation becomes:

8m = -a*1s^2 - a*3s^2 = -a*4s^2

a = 8m/-4s^2 = -2m/s^2.

Now with a, we can find the values of c and b.

c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.

b = 1s*2a = 1s*(-2m/s^2) = -2m/s.

Then the equation is:

y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m

" The value of the mean is always greater than the value of the standard deviation" is not a characteristic of the normal distribution

The curve of a normal distribution is known as the bell curve. The curve in statistical analysis represents the occurrence of some particular result as a product of the experiment. The normal curve is always symmetrical. This implies that the results of the trials will produce results near the mean value of the distribution.

Characteristics of a normal distribution involve:

1. The total area beneath the symmetric curve is 1: Since the area under the curve represents the chances of all the experiments; hence the summation must be 1.

2. The two tails of the curve extend indefinitely: The tails of the normal distribution never touch the horizontal axis; it is extended indefinitely.

4. The curve is symmetric about the mean: In a normal curve, the mean value of the distribution lies in the centre dividing the distribution curve into two symmetric parts.

Not a characteristic of a normal curve:

3. The value of the mean is always greater than the value of the standard deviation. The mean of the data can be negative as well as positive, but the value of the standard deviation is always positive. The small value of standard deviation implies the presence of more clustered data around the mean. The large value of the standard deviation indicates that the data is more spread out.

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Answer:16ft

√256=16ft

length=16ft

Answer:

5:3=8

3/8 x 120

3/1 x 15

3 x 15=45

Step-by-step explanation:

hope this helps

sorry

The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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Answer:

Liner function

x = 5 + n

Step-by-step explanation:

Given:

Height of tree = 5 ft

Grow per month = 1 ft

Find:

Equation:

Computation:

Assume;

New height of tree x

Number of month = n

x = 5 + 1(n)

x = 5 + n

Answer:

I believe it's B

4x - 5y = 16

Step-by-step explanation:

First you divide the whole term by -1 to get rid of negative in front of equation and then you add the c term (-16) to both sides to get the final answer.

I hope you get this right.

Y, Y1, and Y2 follow chi-square distributions with n-1, n1-1, and n2-1 degrees of freedom. W1 and W2 are ratios of Y2 and their respective degrees of freedom minus one, and W1 can also be expressed as the ratio of Y1 divided by (n1-1) multiplied by Z1.

In the first part, Y represents the sum of squared deviations of the entire sample from its mean, divided by \(\sigma^2\), and it follows a chi-square distribution with n-1 degrees of freedom. Y1 represents the sum of squared deviations of the first n1 observations from their mean, divided by \(\sigma^2\), and it follows a chi-square distribution with n1-1 degrees of freedom. Similarly, Y2 represents the sum of squared deviations of the last n2 observations from their mean, divided by \(\sigma^2\), and it follows a chi-square distribution with n2-1 degrees of freedom.

In the second part, W1 and W2 are defined as ratios involving Y1, Y2, and their respective degrees of freedom minus one. Specifically, W1 is the ratio of Y2 divided by (n2-1) and Y1 divided by (n1-1), whereas W2 is the ratio of Y2 divided by (n2-1) multiplied by Z1. It's important to note that Y1 and Y2 are assumed to be independent, which allows for the calculation of these ratios.

In conclusion, Y, Y1, and Y2 follow chi-square distributions with degrees of freedom equal to n-1, n1-1, and n2-1, respectively. W1 and W2 are expressed as ratios involving Y1, Y2, and their respective degrees of freedom minus one, with W1 also including the multiplication by Z1. The independence of Y1 and Y2 enables the calculation of these ratios.

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Answer:

Each hamburger costs 3.49

Step-by-step explanation:

Take the total cost and divide by the number of hamburgers

20.94/6 =3.49

Each hamburger costs 3.49

Answer:

I think the answer for this question is 2.24cm

Answer:

y=mx+b

b= y intercept

mx=slope

First lets find the y intercept = the y intercept is 3

Now lets find the slope = the slope is 3x because each time it goes 3 up it goes one right

So the answer is y=3x+3

Based on the provided information to conduct the hypothesis test the condition met are random sampling, sample size, independence. From this sample, the taxpayer calculates a sample mean of $934 and a sample standard deviation of $619.

To conduct a hypothesis test, we need to ensure certain conditions are met. These conditions are:
1. Random sampling :The taxpayer used a random sample of 32 families, which helps to ensure the sample is representative of the population.
2. Sample size: The sample size is 32, which is considered a large enough sample size for a hypothesis test (generally, a sample size of 30 or more is considered large enough).
3. Independence: Since the sample is random and the sample size is less than 10% of the population (assuming there are more than 320 families), the independence assumption can be considered as met.
4. Approximately normal distribution: With a sample size of 32 (which is considered large), the Central Limit Theorem suggests that the sampling distribution of the sample mean will be approximately normal.
With these conditions met, the taxpayer can proceed with a hypothesis test to compare their sample mean with the IRS representative's claimed average and determine whether the real figure for medical care deductions is likely to be lower than $1,250.

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The term utilized to make inferences about certain population parameters is a) samples.

In statistical analysis, samples are a subset of a larger population that are selected for observation and analysis. By studying the sample, statisticians can make inferences about the larger population from which it was drawn. This allows for predictions to be made about the entire population, based on information gathered from a smaller subset.

Equations and metrics are important in statistical analysis, but they are not used to make inferences about population parameters. Equations are used to model relationships between variables and to test hypotheses, while metrics are used to quantify the properties of data sets.

Statistics, on the other hand, is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. Statistics is used to make sense of data and to draw conclusions about the larger population from which the sample was drawn.

In summary, samples are an important tool for statisticians to make inferences about certain population parameters, and statistics is the field that studies these methods of data analysis.

Therefore, the correct answer is a) samples.

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Answer:

Hey! so the answer is 20%

Step-by-step explanation:

If you want to know what percent 16 is of 80, you simple divide 16 by 80, then take that number and move the decimal place two spaces to the right. That's your percentage!

Hoped this helped! Have a great day! Im Eve btw. Also consider marking this brainliest. Thank you in advanced if you do!✨

Answer:

Solution : y = ± 1/3x

Step-by-step explanation:

Remember that the equation of a hyperbola is in the form (y - k)² / a² - (x - h)² / b² = 1. Therefore we have a² here = 9, and b² here = 81.

To determine the asymptotes we can use the equation y = k ± a/b(x - h). What makes this equation really simple, is that k = 0 and h = 0, giving us y = ± a/b(x). Let's isolate a and b given a² = 9, and b² = 81 --- (1)

a² = 9

a = 3

b² = 81

b = 9

Therefore our asymptotes will be in the form y = ± a/b(x) = ± 3/9(x) = ± 1/3x. Our solution is thus option a.

Answer:conjectured that F(n)≈0.72∗n∗f(n). Following that clue, we can find the following identity holds for all cases we tested by trial and error.

F(n)=nf(n)−(n−2)f(n−2)+(n−4)f(n−4)−(n−6)f(n−6)+⋯

where the sequence of summands goes on as long as the summand makes sense.

Step-by-step explanation:

Answer:

2x + 60 - 37.50

x = 6

Oliver earns a total of $260.

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.

Given, In the graph, Oliver is depicted as having hourly pay. He is qualified for bonuses in addition to his hourly pay. If he put in 20 hours of effort and received a $100 performance bonus. equation of this line:

y = kx +c

since this line goes through the origin point. Constant (c) will be zero.

At the point (1, 8 ) k = 8

Hence, Y = 8x

Because hours worked are 20

earning = 8 * 20  = 160

Total earnings = 100 + 160 = 260

Therefore, the Total money that Oliver earns is $260.

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The value of s when t = 0.2 would be 12.

Given s is inversely proportional to t, then the equation relating them is

S ∝ 1/t, introduce constant if value of S depends on t only. Let that constant be 'k'.

=> S = k/t

k is the constant of the proportion

To find k, we will use the condition when s = 0.6, t = 4

0.6 = k/4( multiply both sides by 4)

2.4= k

When t = 0.2, then

s = 2.4/0.2 = 12

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Seniors at Boston College and students in a first-semester business statistics course represent a population and a sample, respectively(C).

A population refers to the entire group of individuals or items that we are interested in studying, while a sample is a subset of the population that is selected for analysis.

In option c, the seniors at Boston College represent a population as they are the entire group of interest. On the other hand, the students in a first-semester business statistics course represent a sample because they are a subset of the population (seniors at Boston College) and are selected for analysis. So c is correct option.

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Answer:

0.77 or 77%

Step-by-step explanation:

Given:

Percentage of brown peanuts = 12%

Percentage of yellow peanuts = 15%

Percentage of red peanuts = 12%

Percentage of blue peanuts = 23%

Percentage of orange peanuts = 23%

Percentage of green peanuts = 15%

Total = 0.12 + 0.15 + 0.12 + 0.23 + 0.23 + 0.15 = 1

Probability that a randomly selected peanut M&M is not orange:

P(orange)' = 1 - P(orange)

Where,

P(orange) = 23% = 0.23

Thus,

P(orange)' = 1 - 0.23

P(orange) ' = 0.77

Probability that a randomly selected peanut is not orange = 0.77

The angle of x in the triangle is 75 degrees.

The sum of angles in a triangle is 180 degrees. The triangle is a an isosceles triangle.

An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.

Therefore, the base angles are equal.

The third angle of the triangle is 30 degrees(vertically opposite angles)

Hence,

x + x + 30 = 180

2x + 30 = 180

2x = 180 - 30

2x = 150

x = 150 / 2

x = 75 degrees

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Answer:

A =28 pi cm^2

Step-by-step explanation:

First find the area of the larger circle

A = pi r^2

A = pi (8)^2

A = 64 pi

Find the area of the smaller circle

A = pi r^2

A = pi 6^2

A = 36 pi

The shaded area is the larger circle minus the smaller circle

A shaded = 64 pi - 36 pi

A =28 pi cm^2

Answer:

about 2300

Step-by-step explanation:

\(23 + 2 < y \\ y > 25\)

ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.

Goodluck!!

Answer:

25 < y

Step-by-step explanation:

23 + 2 < y

25 < y

that's as much as it goes