what is 12 to 14 in simplest form

The 95% confidence interval estimate of the mean for a random sample of size 25 is (45.07, 54.93) and for a random sample of size 16 is (43.61, 56.39).

To find the 95% confidence interval estimate of the mean for a population with an unknown mean and unknown standard deviation, we can use the formula:

CI = x ± t*(s/√n)

Where:
CI is the confidence interval
x is the sample mean
t is the t-score for the desired level of confidence
s is the sample standard deviation
n is the sample size

For a 95% confidence level and a sample size of 25, the t-score is 2.064. For a sample size of 16, the t-score is 2.131.

a) For a random sample of size 25 with a mean of 50 and a standard deviation of 12, the 95% confidence interval estimate of the mean is:

CI = 50 ± 2.064*(12/√25)
CI = 50 ± 2.064*(12/5)
CI = 50 ± 4.93
CI = (45.07, 54.93)

b) For a random sample of size 16 with a mean of 50 and a standard deviation of 12, the 95% confidence interval estimate of the mean is:

CI = 50 ± 2.131*(12/√16)
CI = 50 ± 2.131*(12/4)
CI = 50 ± 6.39
CI = (43.61, 56.39)

Therefore, the 95% confidence interval estimate of the mean for a random sample of size 25 is (45.07, 54.93) and for a random sample of size 16 is (43.61, 56.39).

Learn more about Standard deviation:

https://brainly.com/question/30778896

#SPJ11

Answer:

Sphere

Step-by-step explanation:

its a sphere with a radius of 5

The solid three dimensional image that is produced from the rotation of the semicircle is called a sphere.

This is used to define the movement of an object in a three dimensional plane around a fixed point.

This transformation os known to occur in a given point of the figure. The roataion is done at a certain degree.

Read more on rotation here: https://brainly.com/question/15624908 #SPJ2

Answer:

38 euros

Step-by-step explanation:

ok, so,

you know that

£3 is equal to 4 euros

this means that    0.75 pound is equal to 1 euro

       28.50/0.75=38

do 38 times 1, which means that it is 38 euros

please mark me as brainliest!!!<3

There are 265 derangements of six symbols.

Derangement:

A derangement occurs when a set's elements are permuted so that none of them show in their original order. A derangement, then, is a permutation with no fixed points.

The formula for derangement is:

                  !n = n!\((1-\frac{1}{1! } +\frac{1}{2! }-\frac{1}{3! }+....(-1)^{n} \frac{1}{n! })\)

So, we have six symbols

∴                !6 = 6!\((1-\frac{1}{1! } +\frac{1}{2! }-\frac{1}{3! }+....(-1)^{6} \frac{1}{6! })\)

                 !6 = 265

Hence,  

         There are 265 derangements of six symbols.

Learn more about Derangement here

https://brainly.com/question/29587621

#SPJ4

The acceleration of a body falling near the surface of a planet can be calculated using the formula for gravitational acceleration, which takes into account the mass and diameter of the planet.

The acceleration due to gravity near the surface of a planet is given by the equation:

a = \((G * M) / r^2\)

where "a" is the acceleration due to gravity, "G" is the gravitational constant, "M" is the mass of the planet, and "r" is the distance from the center of the planet to the falling object.

In this scenario, the mass of the planet is 0.060 times the mass of Earth, and the diameter of the planet is about 0.307 times the diameter of Earth. Since mass is directly proportional to volume, and volume is proportional to the cube of the radius, we can conclude that the mass of the planet is approximately \((0.060)^3\) times the mass of Earth.

Therefore, the acceleration due to gravity on this planet would be approximately \(((0.060)^3 * G) / (0.307)^2\) times the acceleration due to gravity on Earth. By plugging in the respective values into the equation, you can calculate the specific numerical value of the acceleration.

Learn more about volume here:

https://brainly.com/question/24086520

#SPJ11

Given,

The expression is,

As the line of the equation is shaded has

The shaded part is above the line,

So,

Hence, the inequality is -5x+2y>-4.

The solution is ; 5/6 = 0.833... (recurring decimal)

A single-phase feeder or branch circuit conductor will have a total resistance equal to twice that of one conductor.

When referring to a single-phase circuit, we typically have two conductors: a hot (phase) conductor and a neutral conductor. These conductors carry the electrical current. Each conductor has its own resistance, but when considering the total resistance of the circuit, we need to take into account both conductors.

The resistance of a conductor is typically measured per unit length. Assuming that the two conductors in the circuit are of the same material and cross-sectional area, their individual resistances will be equal. When we calculate the total resistance of the circuit, we add the resistances of both conductors together.

Since we have two conductors in a single-phase circuit, the total resistance will be equal to twice the resistance of one conductor. This is because the resistances of both conductors are added together to determine the total resistance of the circuit.

Understanding the total resistance is important for determining voltage drop and power losses in electrical circuits, as well as for proper sizing of conductors to meet safety and electrical code requirements.

To learn more about conductor from the given link

https://brainly.com/question/492289

#SPJ4

Answer:

above is the solution to the question

Answer:

y = 3x + 1

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

Answer:

The value of the proportionality constant (y to x) is: 3/10

Step-by-step explanation:

We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.

i.e. y = kx

and k = y/x

Given the points

We know that the proportionality constant (y to x) is:

k = y/x

For the point (100, 30)

k = 30/100=3/10

For the point (300, 90)

k = 90/300=3/10

For the point (500, 150)

k = 150/500=3/10

As the value of proportionality constant (y to x) is the same.

i.e. k = 3/10

Thus, the value of the proportionality constant (y to x) is: 3/10

Therefore, the probability that Sam gets more heads than Max is 0.5.

Let X be the number of heads Max gets and Y be the number of heads Sam gets. Both X and Y follow a binomial distribution with parameters k and 0.5.

We want to find P(Y>X), which can be expressed as:

P(Y>X) = P(Y-X>0)

Let Z = Y - X. Then Z follows a binomial distribution with parameters k and p = 0.5 - 0.5 = 0.

The mean of Z is E(Z) = E(Y-X) = E(Y) - E(X) = k/2 - k/2 = 0.

The variance of Z is Var(Z) = Var(Y-X) = Var(Y) + Var(X) = k/4 + k/4 = k/2.

Using the normal approximation to the binomial distribution, we can approximate Z as a normal distribution with mean 0 and variance k/2, for large enough values of k.

Therefore, P(Y>X) = P(Z>0) can be approximated using the standard normal distribution:

P(Z>0) = P((Z-0)/sqrt(k/2) > (0-0)/sqrt(k/2)) = P(Z/sqrt(k/2) > 0)

Using a standard normal table or calculator, we find that P(Z/sqrt(k/2) > 0) = 0.5.

To know more about probability,

https://brainly.com/question/31921203

#SPJ11

The null hypothesis in a chi-square test for goodness of fit involves frequencies for the entire population, not just proportions or frequencies for the sample. c.

In a chi-square test for goodness of fit, the null hypothesis specifies the expected frequencies or counts for different categories in the entire population being studied.

The test compares the observed frequencies in the sample to the expected frequencies under the null hypothesis to determine if there is a significant difference between the observed and expected distributions.

The chi-square test for goodness of fit assesses whether the observed frequencies in the sample deviate significantly from the expected frequencies specified by the null hypothesis for the entire population. The test evaluates if the observed data supports or contradicts the null hypothesis, which assumes that the observed frequencies follow a specific distribution or proportions.

The null hypothesis in a chi-square test for goodness of fit defines the predicted frequencies or counts for various categories in the total population under investigation.

The test determines if there is a significant discrepancy between the observed and predicted distributions by comparing the observed frequencies in the sample to the anticipated frequencies under the null hypothesis.

The chi-square test for goodness of fit determines if the sample's observed frequencies differ noticeably from the null hypotheses' predicted frequencies for the overall population.

The null hypothesis, which holds that the observed frequencies follow a particular distribution or proportions, is assumed in the test, and it is determined if the observed data supports or refutes it.

For similar questions on chi-square test

https://brainly.com/question/4543358

#SPJ8

Answer:

I would say its 0,2,4,6,....

Answer:

0,2,4,6....

Step-by-step explanation:

Since only they have the common difference between them, they are in the arithmetic sequence

Hope it helps you

Please mark as the brainliest

Thank You

The probability that a daughter of an unaffected father and a mother who carries the dmd allele will develop the disease is 50 percent.

One from each parent, a girl receives the two X chromosomes. The daughters therefore have a 50% chance of acquiring the mutation and developing into carriers. Sons without DMD won't be carriers, but daughters without the condition will.

Carriers will always run the risk of giving birth to a child who carries the mutation or the disease, even if they don't show any symptoms of it themselves.

What is DMD?

Duchenne muscular dystrophy (DMD) is a genetic disorder characterized by progressive muscle degeneration and weakness caused by changes in a protein called dystrophin, which aids in the maintenance of muscle cells. DMD is one of four types of dystrophinopathies.

Find more on Duchenne muscular dystrophy (DMD) at : brainly.com/question/13470747

#SPJ4

Answer:

<70.71, -70.71>

Step-by-step explanation:

The vector has a module of 100 and a angle of -45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:

horizontal component = module * cos(angle)

horizontal component = 100 * cos(-45)

horizontal component = 70.71

vertical component = module * sin(angle)

vertical component = 100 * sin(-45)

vertical component = -70.71

So the vector in the component form is <70.71, -70.71>

The negative sign of the vertical component means its direction is downwards.

The component form should be <70.71, -70.71>

horizontal component = module ( cos(angle))

= 100 (cos(-45))

= 70.71

And,

vertical component = module (sin(angle))

= 100 (sin(-45))

= -70.71

Learn more: https://brainly.com/question/5763151?referrer=searchResults

The best way to describe the center of data depends on the type of data and the distribution of the data. For numerical data, the most common measures of center are the mean, median, and mode.

The mean is the sum of all values divided by the number of values. The median is the middle value when the data are arranged in order from least to greatest. The mode is the value that occurs most frequently in the data.

In the given sample data of jersey numbers, we can find the mean as 49.5, the median as 61, and there is no mode. Since the median is the middle value, it is not affected by extreme values, so it is a better measure of center than the mean. The mean is influenced by outliers and extreme values and may not be a representative measure of the center of the data.

In conclusion, the best way to describe the center of data depends on the type of data and the distribution of the data. For this specific sample data, the median is the best measure of center as it is not affected by extreme values.

To learn more about median, click here:

brainly.com/question/28060453

#SPJ11

The term "resilience" encompasses the psychological processes and traits that enable individuals to deal with traumas and recover their healthy and effective functioning.

To understand resilience more deeply, let's consider a mathematical analogy.

Just as mathematical equations can be adjusted or modified to solve different problems, individuals need to adapt their coping mechanisms to match the specific demands of a trauma. Being adaptable allows people to assess the situation, identify necessary adjustments, and find effective strategies for recovery.

Resilience is not solely about returning to a pre-trauma state but also involves personal growth and transformation. In mathematics, this growth can be compared to solving a complex problem that requires expanding one's knowledge and skills.

It's important to note that resilience is not a fixed trait, but rather a dynamic process that can be developed and strengthened over time. Just as mathematical skills can be improved through practice and learning, individuals can cultivate resilience through various interventions, such as therapy, support groups, self-care practices, and building healthy relationships.

To know more about trauma here

https://brainly.com/question/17986674

#SPJ4

Answer:

The length of the leg is 11 units.

Step-by-step explanation:

The triangle 45 - 45 - 90 theorem states that the length of the hypotenuse is \(\sqrt{2}\) times of the length of any of the legs. Hence, we get the following expression:

\(h = \sqrt{2} \cdot l\) (1)

Where:

\(l\) - Length of the leg, in units.

\(h\) - Hypotenuse, in units.

If we know that \(h = 11\sqrt{2}\), then the length of the leg is:

\(l = \frac{h}{\sqrt{2}}\)

\(l = 11\)

The length of the leg is 11 units.

Answer:

2+n = 8

Step-by-step explanation:

2+ something must equal 8.

8 minus 2 = 6

n=6

Answer:

According to question,

2+ n =8

=) n = 8-2

=) n =6

hope you understand.

To answer this question, we need to know the median and upper quartile of the data set. Once we have these values, we can determine what percentage of the data falls to the right of the median and to the left of the upper quartile.
Let's say the median of the data set is 50 and the upper quartile is 75. To find the percentage of measurements to the right of the median, we need to look at the data values that are greater than 50 and divide that number by the total number of measurements. Let's say there are 40 data values greater than 50 and a total of 100 measurements.

Then, the percentage of measurements to the right of the median would be:

(40/100) x 100% = 40%

To find the percentage of measurements to the left of the upper quartile, we need to look at the data values that are less than or equal to 75 and divide that number by the total number of measurements. Let's say there are 60 data values less than or equal to 75 and a total of 100 measurements. Then, the percentage of measurements to the left of the upper quartile would be:

(60/100) x 100% = 60%


Your answer:
1. 40% of the measurements lie to the right of the median.
2. 60% of the measurements lie to the left of the upper quartile (Q3).

To learn more about quartile : brainly.com/question/17198478

#SPJ11

Answer:

8

Step-by-step explanation:

Hope that helps :)

.....

Answer:

35°

Step-by-step explanation:

Produce BC in the direction of C which intersects DE at any point say P.

AB || ED... (given)

So, BP would be transversal.

\( \therefore m\angle DPB + m\angle FBP = 180\degree\\... (By\: interior \: \angle \: Postulate) \\

\therefore m\angle DPB + 125\degree = 180\degree\\

\therefore m\angle DPB = 180\degree - 125\degree \\

\huge \red {\boxed {\therefore m\angle DPB = 55\degree}} \\

m\angle DCP = 180\degree - 90\degree \\

m\angle DCP = 90\degree \\

x = 180\degree - (90\degree + 55\degree) \\

x = 180\degree - 145\degree \\

x = 35\degree \)

The value of x or the angle CDE will be 35 degrees.

The theorem of vertical angles or angles that are vertically opposing According to the theorem, two opposing vertical angles that are created when two lines cross one other are always equal to one another.

Given that the angle CBF is 125 degrees. The value of the angle CDE will be calculated as below:-

Calculate angle ABC by using supplement angle property:-

∠ABC = 180 - 125 = 55

Draw a horizontal line PQ at point C.

Angle PCQ = 35

Angle CDE = 35

Therefore, the value of x or the angle CDE will be 35 degrees.

To know more about the opposite angle theorem follow

https://brainly.com/question/9793817

#SPJ2

The perimeter of Rebekah's new mural is 9 meters.

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:

A rectangular mural measures 1 meter by 3 meters.

Rebekah creates a new mural that is 0.5 meters longer.

The perimeter of Rebekah's new mural,

= 2 (1.5 + 3)

= 9 meters.

Therefore, the perimeter is 9 meters.

To learn more about the rectangular perimeter;

https://brainly.com/question/22109593

#SPJ1

Answer:

9

Step-by-step explanation:

Answer:

$25,000

Step-by-step explanation:

To calculate the original amount of the student loan that Scott took, we can use the formula for calculating simple interest:

Simple Interest = Principal (loan amount) x Rate x Time

Given:

Interest (I) = $750

Rate (R) = 3% or 0.03 (as a decimal)

Let's assume the time (T) for the loan is one year, as the rate is given as an annual rate.

Plugging in the values into the formula:

750 = Principal x 0.03 x 1

750 = 0.03 Principal

To solve for Principal, we can divide both sides of the equation by 0.03:

Principal = 750 / 0.03

Principal = $25,000

So, the original amount of the student loan that Scott took was $25,000.

Answer:

I don't know all of them but:

Question 3 is x=17. Because angles on a straight line sum 180 degrees.

(8x-15)+(3x+8)=180

x= 17

Question 5 is 78 degrees. Because the angle at the center is double the angle at the circumference.

Answer:

35 degrees

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

-12+22

10

Answer:

10

Step-by-step explanation:

a) The compound interest equation is \(C = 4250 \cdot 0.9675^{t}\).

b) There is an approximate loss of $ 987.16.

c) The stock will take approximately 12.979 to decrease by half.

Compound interest model represents the gain of a deposit as a function of the number of periods and initial amount. The model is represented below:

\(C = C_{o}\cdot (1+r)^{t}\)     (1)

Where:

Capital decreases in time when interest rate is a negative number. The equation that models the situation is \(C = 4250 \cdot 0.9675^{t}\) and the current capital after eight years is:

C = 4250 · 0.9675⁸

C = 3262.84

That represents an approximate loss of $ 987.16.

And the number of periods required to decrease the capital by half is:

\(2125 = 4250 \cdot 0.9675^{t}\)

\(0.5 = 0.9675^{t}\)

㏒ 0.5 = t · log 0.9675

t ≈ 20.979

The stock will take approximately 12.979 to decrease by half.

To learn more on compound interest: https://brainly.com/question/14295570

#SPJ1